2024
2024-3The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula
J. Funct. Anal. 286 (2024), no. 6, Paper no. 110333.
2024-4Discrete honeycombs, rational edges, and edge statesuu
Comm. Pure Appl. Math. 77 (2024), no. 3, 1575-1634
2024-5Classifying sections of del Pezzo fibrations, I
J. Eur. Math. Soc. (JEMS) 26 (2024), no. 1, 289-354
2024-6Embeddings of von Neumann algebras into uniform Roe algebras and quasi-local algebras
J. Funct. Anal. 286 (2024), no. 1, Paper No. 110186, 37 pp.
2024-8On the zeroes of hypergraph independence polynomials
Combin. Probab. Comput. 33 (2024), no. 1, 65-84
2024-9Lyapunov Exponents and Nonadapted Measures for Dispersing Billiards
Comm. Math. Phys. 405 (2024), no. 2, Paper no. 24
2024-10Regular Ideals, Ideal Intersections, and Quotients.
Integral Equations Operator Theory 96 (2024), no. 1, Paper no. 3
2024-12Tail spaces estimates on Hamming cube and Bernstein-Markov inequality
J. Math. Anal. Appl. 529 (2024), no. 2, Paper No. 127597, 22 pp
2024-13Connecting Agent-Based Models with High-Dimensional Parameter Spaces to Multidimensional Data Using SMoRe ParS: A Surrogate Modeling Approach
Bulletin of Mathematical Biology, Open access, Published: 30 December 2023, Vol. 86, article number 11, (2024)
2024-14Replicable functions arising from code-lattice VOAs fixed by automorphisms
J. Algebra 642 (2024), 159-202
2023
2023-1Symmetrization of rational maps: arithmetic properties and families of Lattés maps of \(\Bbb{P}^k\)
Conform. Geom. Dyn. 27 (2023), 98-117.
2023-3Nested Markov properties for acyclic directed mixed graphs
Ann. Statist. 51 (2023), no. 1, 334-361
2023-4Refined large N duality for knots
J. Knot Theory Ramifications 32 (2023), no. 6, Paper No. 2041001, 49 pp
2023-5The minimal model program for b-log canonical divisors and applications.
Math. Z. 303 (2023), no. 4, 87
2023-6Equivariant hyperbolization of 3-manifolds via homology cobordisms
Topology Appl. 333 (2023), Paper No. 108485, 24 pp
2023-8Evaluations of annular Khovanov-Rozansky homology
Math. Z. 303 (2023), no. 1, Paper No. 25, 57 pp.
2023-9Evaluations of annular Khovanov-Rozansky homology
Math. Z. 303 (2023), no. 1, Paper No. 25, 57 pp.
2023-10The extended Haagerup fusion categories
Ann. Sci. Éc. Norm. Supér. (4) 56 (2023), no. 2, 589-664.
2023-11Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism
Selecta Math. (N.S.) 29 (2023), no. 2, Paper No. 19, 56 pp
2023-13Pixton's formula and Abel-Jacobi theory on the Picard stack
Acta Math. 230 (2023), no. 2, 205-319
2023-14Pixton's formula and Abel-Jacobi theory on the Picard stack
Acta Math. 230 (2023), no. 2, 205-319
2023-16Identifiability of linear compartmental tree models and a general formula for input-output equations
Adv. in Appl. Math. 146 (2023), Paper No. 102490, 38 pp
2023-17Quantitative Hilbert Irreducibility and Almost Prime Values of Polynomial Discriminants.
Int. Math. Res. Not. IMRN 2023, no. 3, 2188-2214
2023-18The Calabi Problem for Fano threefolds
Cambridge University Press, 2023. ISBN: 1009193392, 9781009193399, 455pages Mathematics, Topology
2023-19Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials
Duke Math. J. 172 (2023), no. 9, 1735-1779
2023-20Regularity of Hamiltonian stationary equations in symplectic manifolds
Adv. Math. 424 (2023), Paper No. 109059, 32 pp
2023-22On Fano threefolds of degree 22 after Cheltsov and Shramov
Birational geometry, Kähler-Einstein metrics and degenerations, 249-262, Springer Proc. Math. Stat., 409, Springer, Cham, [2023]
2023-23On K-stability for Fano threefolds of rank 3 and degree 28
Int. Math. Res. Not. IMRN 2023, no. 15, 12601-12784
2023-24The Calabi Problem for Fano threefolds
London Mathematical Society Lecture Note Series, 485. Cambridge University Press, Cambridge, 2023 vii+441 pp. ISBN: 978-1-009-19339-9
2023-25Quantitative Hilbert irreducibility and almost prime values of polynomial discriminants.
Int. Math. Res. Not. IMRN 2023, no. 3, 2188-2214.
2023-26Column-convex matrices, \(G\)-cyclic orders, and flow polytopes. (English summary)
Discrete Comput. Geom. 70 (2023), no. 4, 1593-1631.
2023-27The extended Haagerup fusion categories
Ann. Sci. Ec. Norm. Super. (4) 56 (2023), no. 2, 589-664
2023-28Unique equilibrium states for geodesic flows on flat surfaces with singularities
Int. Math. Res. Not. IMRN 2023, no. 17, 15155-15206
2023-29A unifying framework for the \(\nu\)-Tamari lattice and principal order ideals in Young's lattice
Combinatorica 43 (2023), no. 3, 479-504
2023-30Rational curves on del Pezzo surfaces in positive characteristic.
Trans. Amer. Math. Soc. Ser. B 10 (2023), 407451.
2023-31Potential singularity formation of incompressible axisymmetric Euler equations with degenerate viscosity coefficients
Multiscale Model. Simul. 21 (2023), no. 1, 218-268.
2023-32Combinatorics of triangular partitions
Enumer. Comb. Appl. 3 (2023), no. 1, Paper No. S2R1, 20 pp
2023-33Cartan motion group and orbital integrals
Proc. Sympos. Pure Math., 105, Amer. Math. Soc., Providence, RI, [2023], 2023
2023-34Inequalities for entropies and dimensions
Unity of logic and computation, 120-131, Lecture Notes in Comput. Sci., 13967, Springer, Cham, 2023
2023-35Matrix multiplication via matrix groups
14th Innovations in Theoretical Computer Science Conference, Art. No. 19, 16 pp., LIPIcs. Leibniz Int. Proc. Inform., 251, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2023
2023-36A symmetric function lift of torus link homology
Comb. Theory 3 (2023), no. 3, Paper No. 12, 17 pp
2023-38Generalized Laguerre functions and Whittaker vectors for holomorphic discrete series
J. Lie Theory 33 (2023), no. 1, 253-270
2023-39The resonances of the Capelli operators for small split orthosymplectic dual pairs
J. Lie Theory 33 (2023), no. 1, 93-132
2023-40Riesz and Green energy on projective spaces
Trans. Amer. Math. Soc. Ser. B 10 (2023), 1039-1076
2023-41The trace of the affine Hecke category
Proc. Lond. Math. Soc. (3) 126 (2023), no. 6, 2013-2056
2023-42Algebra and geometry of link homology: lecture notes from the IHES 2021 Summer School
Bull. Lond. Math. Soc. 55 (2023), no. 2, 537-591
2023-43Johnson-Schwartzman gap labelling for ergodic Jacobi matrices
J. Spectr. Theory 13 (2023), no. 1, 297-318
2023-44The Galois action on the lower central series of the fundamental group of the Fermat curve
Israel Journel of Mathematics, Published: 13 November 2023
2023-45Potentially singular behavior of the 3D Navier-Stokes equations
Found. Comput. Math. 23 (2023), no. 6, 2251-2299
2023-46Potential singularity of the 3D Euler equations in the interior domain
Found. Comput. Math. 23 (2023), no. 6, 2203-2249
2023-47Averages of long Dirichlet polynomials with modular coefficients
Mathematika 69 (2023), no. 4, 1060-1080
2023-49Gap labelling for discrete one-dimensional ergodic Schrödinger operators
From complex analysis to operator theory-a panorama, 341-404, Oper. Theory Adv. Appl., 291, Birkhäuser/Springer, Cham, [2023]
2023-50Restricted tangent bundles for general free rational curves
Int. Math. Res. Not. IMRN 2023, no. 12, 9901-9949
2023-52Higher uniformity of bounded multiplicative functions in short intervals on average
Ann. of Math. (2) 197 (2023), no. 2, 739-857
2023-53Differential operators, retracts, and toric face rings
Algebra Number Theory 17 (2023), no. 11, 1959-1984
2023-54Macrophage phenotype transitions in a stochastic gene-regulatory network model
J. Theoret. Biol. 575 (2023), Paper No. 111634, 15 pp
2023-56Bordering of symmetric matrices and an application to the minimum number of distinct eigenvalues for the join of graphs. (English summary)
Linear Algebra Appl. 679 (2023), 104-126
2023-57Sparsity of graphs that allow two distinct eigenvalues.
Linear Algebra Appl. 674 (2023), 377-395
2023-58K-moduli of curves on a quadric surface and K3 surfaces
J. Inst. Math. Jussieu 22 (2023), no. 3, 1251-1291
2023-59Decoupling for two quadratic forms in three variables: a complete characterization
Rev. Mat. Iberoam. 39 (2023), no. 1, 283-306
2023-60Gelfand-Kirillov dimension and mod \(p\) cohomology for \(\rm GL_2\)
Invent. Math. 234 (2023), no. 1, 1-128
2023-61Geometric stability conditions under autoequivalences and applications: elliptic surfaces
J. Geom. Phys. 194 (2023), Paper No. 104994, 27 pp.
2023-62Optimal conduit shape for Stokes flow
Systems Control Lett. 173 (2023), Paper No. 105461, 6 pp
2023-65Normalizers and approximate units for inclusions of \(C^*\)-algebras
Indiana Univ. Math. J. 72 (2023), no. 5, 1849-1866.
2023-66The ratios conjecture and upper bounds for negative moments of L-functions over function fields
Trans. Amer. Math. Soc. 376 (2023), no. 6, 4453-4510
2023-68On the strict majorant property in arbitrary dimensions
Q. J. Math. 74 (2023), no. 1, 139-161
2023-69Invertible bimodule categories and generalized Schur orthogonality
Comm. Math. Phys. 402 (2023), no. 3, 2691-2714
2023-70Prevalence of multistationarity and absolute concentration robustness in reaction networks
SIAM J. Appl. Math. 83 (2023), no. 6, 2260-2283
2023-71Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic
Publ. Math. Inst. Hautes Études Sci. 138 (2023), 69-227 MCC:14E30 (13A35 14G45)
2023-72On topology of the moduli space of gapped Hamiltonians for topological phases
J. Math. Phys. 64 (2023), no. 4, Paper No. 041901, 19 pp.
2023-73Sums of Weighted Lattice Points of Polytopes
Seminaire Lotharingien de Combinatoire 89B (2023) Article #17, 12 pp.Proceedings of the 35th Conference on Formal Power
2022
2022-2Identifiability of linear compartmental models: the singular locus
Adv. in Appl. Math. 133 (2022), Paper No. 102268, 28 pp.
2022-3Fourier-Mukai transforms of slope stable torsion-free sheaves on Weierstrass elliptic threefolds
J. Algebra 604 (2022), 40-86
2022-4The logarithmic Picard group and its tropicalization
Compos. Math. 158 (2022), no. 7, 1477-1562.
2022-5On the dimension spectra of infinite conformal iterated function systems
J. Fractal Geom. 9 (2022), no. 1, 73-87
2022-6Optimal measures for \(p\)-frame energies on spheres
Rev. Mat. Iberoam. 38 (2022), no. 4, 1129-1160
2022-7The symplectic isotopy problem for rational cuspidal curves
Compos. Math. 158 (2022), no. 7, 1595-1682
2022-8Drinfeld centers of fusion categories arising from generalized Haagerup subfactors
Quantum Topol. 13 (2022), no. 4, 593-668
2022-9Local versus global distances for zigzag and multi-parameter persistence modules
Research in computational topology 2, 63-76, Assoc. Women Math. Ser., 30, Springer, Cham, [2022], 2022.
2022-10Bernstein-Sato functional equations, V-filtrations, and multiplier ideals of direct summands
Commun. Contemp. Math. 24 (2022), no. 10, Paper No. 2150083, 47 pp
2022-11Möbius disjointness for \(C^{1+\varepsilon}\) skew products
Int. Math. Res. Not. IMRN 2022, no. 4, 2513-2531
2022-12Relaxing the Gaussian assumption in shrinkage and {SURE} in high dimension
Ann. Statist. 50 (2022), no. 5, 2737-2766
2022-13Loxodromic elements in big mapping class groups via the Hooper-Thurston-Veech construction
Algebr. Geom. Topol. 22 (2022), no. 8, 3809-3854
2022-14A sharp multidimensional Hermite-Hadamard inequality
Int. Math. Res. Not. IMRN 2022, no. 2, 1297-1312
2022-16A local test for global extrema in the dispersion relation of a periodic graph
Pure Appl. Anal. 4 (2022), no. 2, 257-286
2022-17Universal approximation of symmetric and anti-symmetric functions
Commun. Math. Sci. 20 (2022), no. 5, 1397-1408
2022-18On the polynomiality of orbifold Gromov-Witten theory of root stacks
Math. Z. 300 (2022), no. 1, 235-246
2022-19Multi-experiment Parameter Identifiability of ODEs and Model Theory
SIAM J. Appl. Algebra Geom. 6 (2022), no. 3, 339-367
2022-20Prelog Chow groups of self-products of degenerations of cubic threefolds
Eur. J. Math. 8 (2022), no. 1, 260-290
2022-21The diophantine problem for rings of exponential polynomials
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 23 (2022), no. 4, 1625-1636
2022-23Jensen polynomials are not a plausible route to proving the Riemann hypothesis
Adv. Math. 411 (2022), part A, Paper No. 108781, 14 pp
2022-24Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations
J. Stat. Phys. 187 (2022), no. 1, Paper No. 8, 49 pp.
2022-25On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
Invent. Math. 228 (2022), no. 1, 107-375
2022-26Equidistribution of \(\alpha p^\theta\) with a Chebotarev condition and applications to extremal primes
Mathematika 68 (2022), no. 3, 595-619
2022-29How well-conditioned can the eigenvector problem be?
Math. Comp. 91 (2022), no. 335, 1237-1245
2022-30Stratification and duality for unipotent finite supergroup schemes
Equivariant topology and derived algebra, 241-275, London Math. Soc. Lecture Note Ser., 474, Cambridge Univ. Press, Cambridge, 2022.
2022-31Examples of deformed \(\rm G_2\)-instantons/Donaldson-Thomas connections
Ann. Inst. Fourier (Grenoble) 72 (2022), no. 1, 339-366
2022-32Sub-convexity bound for \(GL(3) \times GL(2)\) \(L\)-functions: the depth aspect
Math. Z. 301 (2022), no. 3, 2229-2268
2022-33Newton polygon stratification of the Torelli locus in PEL-type Shimura varieties
2022 AWM Research Symposium, New Directions in Number Theory. pub: International Mathematics Research Notices, rnaa306 https://awm-math.org/abstract/newton-polygon-stratification-of-the-torelli-locus-in-pel-type-shimura-varieties/
2022-34Infinitely many quasi-arithmetic maximal reflection groups
Proc. Amer. Math. Soc. 150 (2022), no. 10, 4203-4211
2022-35The Chern classes and Euler characteristic of the moduli spaces of Abelian differentials
Forum Math. Pi 10 (2022), Paper No. e16.
2022-36Asymptotically self-similar blowup of the Hou-Luo model for the 3D Euler equations
Ann. PDE 8 (2022), no. 2, Paper No. 24, 75 pp
2022-37The Torelli theorem for \(ALH^*\) gravitational instantons
Forum Math. Sigma 10 (2022), Paper No. e79, 11 pp.
2022-38Uniform Roe algebras of uniformly locally finite metric spaces are rigid
Inventiones mathematicae (202, Published: 28 July 2022 https://doi.org/10.1007/s00222-022-01140-x
2022-39Plethysm and the algebra of uniform block permutations
Algebr. Comb. 5 (2022), no. 5, 1165-1203
2022-40Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups
Res. Math. Sci. 9 (2022), no. 1, Paper No. 12, 132 pp.
2022-42Limit-periodic Dirac operators with thin spectra
J. Funct. Anal. 283 (2022), no. 12, Paper No. 109711, 35 pp.
2022-43Fast and perfect sampling of subgraphs and polymer systems
Approximation, randomization, and combinatorial optimization. Algorithms and techniques, Art. No. 4, 18 pp., LIPIcs. Leibniz Int. Proc. Inform., 245, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2022.
2022-44The circular maximal operator on Heisenberg radial functions
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 23 (2022), no. 2, 501-568
2022-45On the generalized Bykovskii presentation of Steinberg modules
International Mathematics Research Notices, Volume 2022, Issue 13, July 2022, Pages 10347-10401, https://doi.org/10.1093/imrn/rnab028
2022-46Improved homological stability for certain general linear groups
June 2022 Proceedings of the London Mathematical Society DOI:10.1112/plms.12463
2022-47A phase field model for mass transport with semi-permeable interfaces
J. Comput. Phys. 464 (2022), Paper No. 111334, 23 pp.
2022-48Neural-network quantum states for periodic systems in continuous space
Physical. Rev. Research 4, 023138 (2022)
2022-49A Hybrid Epidemic Model to Explore Stochasticity in COVID-19 Dynamics.
Bull. Math. Biol. 84 (2022), no. 9, Paper No. 91, doi: 10.1007/s11538-022-01030-6.
2022-50A potential two-scale traveling wave singularity for 3D incompressible Euler equations
Phys. D 435 (2022), Paper No. 133257, 27 pp
2022-51Patterns of synchronization in 2D networks of inhibitory neuronsFront.
Front. Comput. Neurosci., 16 August 2022 https://doi.org/10.3389/fncom.2022.903883
2022-52An area-depth symmetric {\(q,t\)}-Catalan polynomial
Electron. J. Combin. 29 (2022), no. 2, Paper No. 2.13, 23 pp.
2022-53Computing associators of endomorphism fusion categories
SciPost Phys. 13 (2022), no. 2, Paper No. 029, 30 pp
2022-54On the product formula for Toeplitz and related operators
Published 24 May 2022 Mathematics, DOI:10.1007/978-3-031-13851-5_26Corpus ID: 249062850. Toeplitz Operators and Random Matrices, Operator Theory, Advances and Applicaitons, 289
2022-56Edge states in rationally terminated honeycomb structure
Proc. Natl. Acad. Sci. USA 119 (2022), no. 47, Paper No. e2212310119, 7 pp. 82B20 (05C92 74E15 82C70)
2022-57Stability of spectral partitions and the Dirichlet-to-Neumann map
Calc. Var. Partial Differential Equations 61 (2022), no. 6, Paper No. 203, 17 pp
2022-59The Deligne-Simpson problem for connections on \(\Bbb G_m\) with a maximally ramified singularity
Adv. Math. 408 (2022), part B, Paper No. 108596, 28 pp.
2022-60Spectral characteristics of Schrodinger operators generated by product systems
J. Spectr. Theory 12 (2022), no. 4, 1659-1718
2022-62The nonlocal-interaction equation near attracting manifolds
Discrete Contin. Dyn. Syst. 42 (2022), no. 2, 903-929
2022-63Unique equilibrium states for geodesic flows on flat surfaces with singularities
International Mathematics Research Notices, rnac247, https://doi.org/10.1093/imrn/rnac247, Published: 15 September 2022
2022-64Normal approximation and fourth moment theorems for monochromatic triangles
Random Structures Algorithms 60 (2022), no. 1, 25-53
2022-65Minimum number of distinct eigenvalues allowed by a sign pattern
Linear Algebra and its Applications, Volume 654, 1 December 2022, Pages 311-338
2022-66Spectra of variants of distance matrices of graphs and digraphs: a survey
Matematica 1 (2022), no. 1, 186-224
2022-67Upper bounds for positive semidefinite propagation time
Discrete Math. 345 (2022), no. 9, Paper No. 112967, 11 pp
2022-68Expected propagation time for probabilistic zero forcing
Australas. J. Combin. 83 (2022), 397-417
2022-69Inverse eigenvalue and related problems for hollow matrices described by graphs
Electron. J. Linear Algebra 38 (2022), 661-679
2022-70Inverse Problems and Zero Forcing for Graphs
Mathematical Surveys and Monographs, 270. American Mathematical Society, Providence, RI, 2022. xi+287 pp. ISBN: 978-1-4704-6655-8
2022-72Local-global principles for constant reductive groups over semi-global fields
Michigan Math. J. 72 (2022), 77-144
2022-73Infinitely many embedded eigenvalues for the Neumann-Poincaré operator in 3D
SIAM J. Math. Anal. 54 (2022), no. 1, 343-362
2022-74An analogue of adjoint ideals and PLT singularities in mixed characteristic
J. Algebraic Geom. 31 (2022), no. 3, 497-559
2022-75Normal approximation and fourth moment theorems for monochromatic triangles
Random Structures Algorithms 60 (2022), no. 1, 25-53
2021
2021-1The generator rank of \(C^\ast\)-algebras
J. Funct. Anal. 280 (2021), no. 4, Paper No. 108874, 34 pp.
2021-2Open problems and questions about geodesics
Ergodic Theory Dynam. Systems 41 (2021), no. 3, 641-684
2021-3From the Hitchin section to opers through nonabelian Hodge
J. Differential Geom. 117 (2021), no. 2, 223253.
2021-4Persistence exponents in Markov chains
Ann. Inst. Henri Poincaré Probab. Stat. 57 (2021), no. 3, 1411-1441
2021-6Graded \(C^\ast\)-algebras and twisted groupoid \(C^\ast\)-algebras
New York J. Math. 27 (2021), 205-252
2021-7Intermediate \(C^*\)-algebras of Cartan embeddings
Proc. Amer. Math. Soc. Ser. B 8 (2021), 27-41
2021-8Energy on spheres and discreteness of minimizing measures
J. Funct. Anal. 280 (2021), no. 11, Paper No. 108995, 28 pp.
2021-10\(C^{1,1}\) regularity of geodesics of singular Kähler metrics
J. Lond. Math. Soc. (2) 104 (2021), no. 1, 66-96
2021-11A Liouville theorem on the PDE \(\det(f_{i\bar{\jmath}})=1\)
Math. Z. 297 (2021), no. 3-4, 1623-1632 32U05 (32W50)
2021-13On the regularity radius of Delone sets in \(\Bbb{R}^3\)
Discrete Comput. Geom. 66 (2021), no. 3, 996-1024
2021-14Local duality for the singularity category of a finite dimensional Gorenstein algebra
Nagoya Math. J. 244 (2021), 1-24
2021-15Detecting nilpotence and projectivity over finite unipotent supergroup schemes
Selecta Math. (N.S.) 27 (2021), no. 2, Paper No. 25, 59 pp.
2021-16Branched coverings of \(CP^2\) and other basic 4-manifolds
Bull. Lond. Math. Soc. 53 (2021), no. 3, 825-842
2021-17Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm
Math. Comp. 90 (2021), no. 329, 1407-1433.
2021-18Rationality is decidable for nearly Euclidean Thurston maps
Geom. Dedicata 213 (2021), 487-512
2021-19A dynamical approach to semilinear elliptic equations
Ann. Inst. H. Poincar C Anal. Non Lineaire 38 (2021), no. 2, 421-450
2021-20Disjointness between bounded rank-one transformations
Colloq. Math. 164 (2021), no. 1, 91-121
2021-21Improved bounds for Hermite-Hadamard inequalities in higher dimensions
J. Geom. Anal. 31 (2021), no. 1, 801-816
2021-22Extremal problems for convex geometric hypergraphs and ordered hypergraphs
Canad. J. Math. 73 (2021), no. 6, 1648-1666
2021-23The tree property at the two immediate successors of a singular cardinal
J. Symb. Log. 86 (2021), no. 2, 600-608
2021-24The rhombic triacontahedron and crystallography
Polytopes and discrete geometry, 235-249, Contemp. Math., 764, Amer. Math. Soc., [Providence], RI, [2021]
2021-25Arcsine laws for random walks generated from random permutations with applications to genomics
J. Appl. Probab. 58 (2021), no. 4, 851-867.
2021-26On the construction of tame supercuspidal representations
Compos. Math. 157 (2021), no. 12, 2733-2746
2021-27Maximal rigid subalgebras of deformations and \(L^2\)-cohomology
Anal. PDE 14 (2021), no. 7, 2269-2306.
2021-28Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit
Arch. Ration. Mech. Anal. 240 (2021), no. 2, 699-760
2021-29Kissing number in non-Euclidean spaces of constant sectional curvature
Math. Comp. 90 (2021), no. 331, 2507-2525
2021-31Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture
Ann. of Math. (2) 194 (2021), no. 2, 519-584
2021-33Geometry of the graphs of nonseparating curves: covers and boundaries
Geom. Dedicata 212 (2021), 73-106
2021-34Nielsen realization for infinite-type surfaces
Proc. Amer. Math. Soc. 149 (2021), no. 4, 1791-1799
2021-39Topological flows for hyperbolic groups
Ergodic Theory Dynam. Systems 41 (2021), no. 11, 3474-3520
2021-40Branched covers bounding rational homology balls
Algebr. Geom. Topol. 21 (2021), no. 7, 3569-3599
2021-41A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities
Comm. Math. Phys. 386 (2021), no. 2, 781-818
2021-42Limiting eigenfunctions of Sturm-Liouville operators subject to a spectral flow
Ann. Math. Qué. 45 (2021), no. 2, 249-269
2021-43The minimum modulus of Gaussian trigonometric polynomials
Israel J. Math. 245 (2021), no. 2, 543-566
2021-44Computing all identifiable functions of parameters for ODE models
Systems Control Lett. 157 (2021), Paper No. 105030, 13 pp.
2021-45An asymptotic expansion for the expected number of real zeros of Kac-Geronimus polynomials
Rocky Mountain J. Math. 51 (2021), no. 4, 1171-1188
2021-46Variance of real zeros of random orthogonal polynomials
J. Math. Anal. Appl. 498 (2021), no. 1, Paper No. 124954, 32 pp.
2021-47On the Slightly Perturbed De Gregorio Model on \(S^1\)
Arch. Ration. Mech. Anal. 241 (2021), no. 3, 1843-1869
2021-48Spectral analysis of the multidimensional diffusion operator with random jumps from the boundary
J. Evol. Equ. 21 (2021), no. 2, 1651-1675
2021-49On toric geometry and K-stability of Fano varieties
Trans. Amer. Math. Soc. Ser. B 8 (2021), 548-577
2021-50Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds
Anal. Appl. (Singap.) 19 (2021), no. 6, 965-1017
2021-51Asymptotic growth of the local ground-state entropy of the ideal Fermi gas in a constant magnetic field
Comm. Math. Phys. 381 (2021), no. 2, 673-705
2021-52Hilbert transforms and the equidistribution of zeros of polynomials
J. Funct. Anal. 281 (2021), no. 9, Paper No. 109199, 25 pp.
2021-53Deletion and contraction in configuration spaces of graphs
Algebr. Geom. Topol. 21 (2021), no. 7, 3663-3674
2021-54The limits of distribution-free conditional predictive inference
Inf. Inference 10 (2021), no. 2, 455-482
2021-56Farber's conjecture for planar graphs
Selecta Math. (N.S.) 27 (2021), no. 5, Paper No. 90, 12 pp.
2021-57Geometric presentations of braid groups for particles on a graph
Comm. Math. Phys. 384 (2021), no. 2, 1109-1140
2021-58Model structures and structural identifiability: what? why? how?
2019-20 MATRIX annals, 185-213, MATRIX Book Ser., 4, Springer, Cham, [2021]
2021-59Spatially localized cluster solutions in inhibitory neural networks
Mathematical Biosciences, Volume 336, June 2021, 108591 doi: 10.1016/j.mbs.2021.108591
2021-60Bifurcation and sensitivity analysis reveal key drivers of multistability in a model of macrophage polarization
J. Theoret. Biol. 509 (2021), Paper No. 110511, 15 pp.
2021-61Autocatalytic networks: an intimate relation between network topology and dynamics
SIAM J. Appl. Math. 81 (2021), no. 4, 1623-1644
2021-62Rank varieties and \(\pi\)-points for elementary supergroup schemes
Trans. Amer. Math. Soc. Ser. B 8 (2021), 971-998
2021-63A novel regularization based on the error function for sparse recovery
J. Sci. Comput. 87 (2021), no. 1, Paper No. 31, 22 pp.
2021-65Accelerating black holes and spinning spindles
Phys. Rev. D 104 (2021), no. 4, Paper No. 046007, 37 pp.
2021-67Thermodynamics of accelerating and supersymmetric {\({\rm AdS}_4\)} black holes
Phys. Rev. D 104 (2021), no. 8, Paper No. 086005, 23 pp.
2021-69admcycles – a Sage package for calculations in the tautological ring of the moduli space of stable curves
J. Softw. Algebra Geom. 11 (2021), no. 1, 89-112
2021-70On the finite time blowup of the De Gregorio model for the 3D Euler equations
Comm. Pure Appl. Math. 74 (2021), no. 6, 1282-1350
2021-71Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data
Cancers 2021, 13(12), 3008; https://doi.org/10.3390/cancers13123008
2021-72Sobolev improving for averages over curves in \(\Bbb{R}^4\)
Adv. Math. 393 (2021), Paper No. 108089, 85 pp.
2021-73A mosquito-borne disease model with non-exponentially distributed infection and treatment stages
Journal of Dynamics and Differential Equations volume 33, pages 1679-1709 (2021)
2021-74Effects of environmental variability on superspreading transmission events in stochastic epidemic models
Infectious Disease Modelling Volume 6, 2021, Pages 560-583, https://doi.org/10.1016/j.idm.2021.03.001
2021-75Finite time blowup of 2D Boussinesq and 3D Euler equations with \(C^{1,\alpha}\) velocity and boundary
Comm. Math. Phys. 383 (2021), no. 3, 1559-1667
2021-76Towards optimal gradient bounds for the torsion function in the plane
J. Geom. Anal. 31 (2021), no. 8, 7812-7841
2021-77A trade-off between classical and quantum circuit size for an attack against CSIDH
J. Math. Cryptol. 15 (2021), no. 1, 4-17
2021-78Multifractal analysis of geodesic flows on surfaces without focal points
Dyn. Syst. 36 (2021), no. 4, 656-684
2021-79Universality of the minimum modulus for random trigonometric polynomials
Discrete Anal. 2021, Paper No. 20, 46 pp
2021-80Type-I contributions to the one and two level densities of quadratic Dirichlet L-functions over function fields
J. Number Theory 221 (2021), 389-423
2021-81Reversing a philosophy: from counting to square functions and decoupling
J. Geom. Anal. 31 (2021), no. 7, 7075-7095
2020
2020-1The KdV equation on the half-line: time-periodicity and mass transport
SIAM J. Math. Anal. 52 (2020), no. 2, 1009-1039.
2020-3Complex interpolation of \(\Bbb R\) - norms, duality and foliations
J. Eur. Math. Soc. (JEMS) 22 (2020), no. 2, 477-50
2020-5Orbital exponential sums for prehomogeneous vector spaces
Amer. J. Math. 142 (2020), no. 1, 177-213
2020-6Graph towers, laminations and their invariant measures
J. Lond. Math. Soc. (2) 101 (2020), no. 3, 1112-1172
2020-7Bounds for Totally Separable Translative Packings in the Plane.
Discrete Comput. Geom. 63 (2020), no. 1, 49-72
2020-8An effective Chebotarev density theorem for families of number fields, with an application to \(\ell\)-torsion in class groups
Invent. Math. 219 (2020), no. 2, 701-778
2020-10Modularity of generating series of divisors on unitary Shimura varieties
Astérisque No. 421, Diviseurs arithmétiques sur les variétés orthogonales et unitaires de Shimura (2020), 7-125. ISBN: 978-2-85629-927-2
2020-11Modularity of generating series of divisors on unitary Shimura varieties II: Arithmetic applications
Astérisque No. 421, Diviseurs arithmétiques sur les variétés orthogonales et unitaires de Shimura (2020), 127-186. ISBN: 978-2-85629-927-2
2020-13Classification of super-modular categories by rank
Algebr. Represent. Theory 23 (2020), no. 3, 795-809
2020-14The free group on n generators modulo n+u random relations as n goes to infinity
J. Reine Angew. Math. 762 (2020), 123-166
2020-15A stability index for travelling waves in activator-inhibitor systems
Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), no. 1, 517-548
2020-16Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves
J. Amer. Math. Soc. 33 (2020), no. 4, 1087-1099
2020-17Gorenstein modifications and \(\Bbb Q\)}-Gorenstein rings
J. Algebraic Geom. 29 (2020), no. 4, 729-751
2020-18The Engel-Lutz twist and overtwisted Engel structures
Geom. Topol. 24 (2020), no. 5, 2471-2546
2020-19The satisfiability threshold for random linear equations
Combinatorica 40 (2020), no. 2, 179-235
2020-21On supra-SIM sets of natural numbers
Combinatorial and additive number theory. III, 123-132, Springer Proc. Math. Stat., 297, Springer, Cham, [2020]
2020-23Logarithmic compactification of the Abel-Jacobi section
Proc. Lond. Math. Soc. (3) 121 (2020), no. 5, 1207-1250
2020-26The surface quasi-geostrophic equation with random diffusion
Int. Math. Res. Not. IMRN 2020, no. 23, 9370-9385
2020-28On the Cantor-Bendixson rank of the Grigorchuk group and the Gupta-Sidki 3 group
J. Algebra 555 (2020), 386-405
2020-30Multiparty non-interactive key exchange and more from isogenies on elliptic curves
J. Math. Cryptol. 14 (2020), no. 1, 5-14
2020-32The Bousfield-Kuhn functor and topological André-Quillen cohomology
Invent. Math. 220 (2020), no. 3, 949-1022
2020-33Rational points of quiver moduli spaces
Ann. Inst. Fourier (Grenoble) 70 (2020), no. 3, 1259-1305
2020-34Arboreal singularities from Lefschetz fibrations
Proceedings of the Gökova Geometry-Topology Conferences 2018/2019, 90-104, Int. Press, Somerville, MA, 2020
2020-36A particle method for the homogeneous Landau equation
J. Comput. Phys. X 7 (2020), 100066, 24 pp.
2020-37An index theorem for Schrödinger operators on metric graphs.
Analytic trends in mathematical physics, 105-119, Contemp. Math., 741, Amer. Math. Soc., Providence, RI, [2020], 2020
2020-39On homotopy types of Vietoris-Rips complexes of metric gluings
J. Appl. Comput. Topol. 4 (2020), no. 3, 425-454.
2020-40Infinite families of potential modular data related to quadratic categories
Comm. Math. Phys. 380 (2020), no. 3, 1091-1150.
2020-41Sparse bounds for the discrete spherical maximal functions
Pure Appl. Anal. 2 (2020), no. 1, 75-92
2020-42An insertion algorithm on multiset partitions with applications to diagram algebras
J. Algebra 557 (2020), 97-128.
2020-43\(l^p\)-improving inequalities for discrete spherical averages
Anal. Math. 46 (2020), no. 1, 85-95
2020-44Ordered and convex geometric trees with linear extremal function
Discrete Comput. Geom. 64 (2020), no. 2, 324-338
2020-45Hypergraphs not containing a tight tree with a bounded trunk II: 3-trees with a trunk of size 2.
Discrete Appl. Math. 276 (2020), 50-59
2020-46Stochastic chemical reaction networks for robustly approximating arbitrary probability distributions
Theoret. Comput. Sci. 801 (2020), 64-95
2020-48The ineffable tree property and failure of the singular cardinals hypothesis
Trans. Amer. Math. Soc. 373 (2020), no. 8, 5937-5955
2020-49Uniform Manin-Mumford for a family of genus 2 curves
Ann. of Math. (2) 191 (2020), no. 3, 949-1001
2020-50Singularity formation and global well-posedness for the generalized Constantin-Lax-Majda equation with dissipation
Nonlinearity 33 (2020), no. 5, 2502-2532.
2020-51Kostant's partition function and magic multiplex juggling sequences
Ann. Comb. 24 (2020), no. 3, 439-473
2020-52Domains without dense Steklov nodal sets
J. Fourier Anal. Appl. 26 (2020), no. 3, Paper No. 45, 29 pp
2020-54Quantum security analysis of CSIDH
Advances in cryptology-EUROCRYPT 2020. Part II, 493-522, Lecture Notes in Comput. Sci., 12106, Springer, Cham, [2020]
2020-55Big mapping class groups: an overview
In the tradition of Thurston-geometry and topology, 459-496, Springer, Cham, [2020]
2020-56Detailed balance = complex balance + cycle balance: a graph-theoretic proof for reaction networks and Markov chains
Bull. Math. Biol. 82 (2020), no. 9, Paper No. 116, 14 pp.
2020-57Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermion
J. Phys. A 53 (2020), no. 34, 345303, 31 pp.
2020-58Fredholm Toeplitz operators with VMO symbols and the duality of generalized Fock spaces with small exponents
Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), no. 6, 3163-3186
2020-60Unique equilibrium states for geodesic flows over surfaces without focal points
Nonlinearity 33 (2020), no. 3, 1118-1155
2020-61Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials
J. Math. Phys. 61 (2020), no. 9, 091507, 15 pp.
2020-62Homotopy ribbon concordance and Alexander polynomials
Arch. Math. (Basel) 115 (2020), no. 6, 717-725
2020-63A Mean-field analysis of Deep ResNet and Beyond: Towards provable optimization via overparameterization from depth
Proceedings of the 37th International Conference on Machine Learning, PMLR 119:6426-6436, 2020
2020-64Bounds on Kronecker coefficients via contingency tables
Linear Algebra Appl. 602 (2020), 157-178
2020-65Breaking down the reduced Kronecker coefficients
C. R. Math. Acad. Sci. Paris 358 (2020), no. 4, 463-468
2020-66Stochastic model of bovine babesiosis with juvenile and adult cattle
Bull. Math. Biol. 82 (2020), no. 6, Paper No. 64, 17 pp.
2020-67A Mean-field analysis of Deep ResNet and Beyond: Towards provable optimization via overparameterization from depth
Proceedings of the 37th International Conference on Machine Learning, Vienna, Austria, PMLR 119, 2020
2020-68Arithmetic of Borcherds products
Astérisque No. 421, Diviseurs arithmétiques sur les variétés orthogonales et unitaires de Shimura (2020), 187-297. ISBN: 978-2-85629-927-2
2020-69Unitary dual functors for unitary multitensor categories
High. Struct. 4 (2020), no. 2, 22-56
2020-70Opening Crystallography
Structural Chemistry (October 2020), 1 - 14; DOI 10.1007/s11224-020-01599-5)
2020-71Randomness and initial segment complexity for probability measures
37th International Symposium on Theoretical Aspects of Computer Science, Art. No. 55, 14 pp., LIPIcs. Leibniz Int. Proc. Inform., 154, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2020.
2020-72Cubic post-critically finite polynomials defined over \(\mathbb Q\)
ANTS XIV-Proceedings of the Fourteenth Algorithmic Number Theory Symposium, 23-38, Open Book Ser., 4, Math. Sci. Publ., Berkeley, CA, 2020
2020-74Target reproduction numbers for reaction-diffusion population models
J. Math. Biol. 81 (2020), no. 2, 625-647.
2020-75Universal properties of anyon braiding on one-dimensional wire networks
Phys. Rev. B 102, 201407(R) issue 20 - Communications in Mathematical Physics Published 23 November 2020
2020-77Cohomology groups of Fermat curves via ray class fields of cyclotomic fields
J. Algebra 554 (2020), 78-105
2020-78Modeling the eye as a window on the body
Published 2020-06-16, Vol. 2 No. 4 (2020), Modeling and Artificial Intelligence in Ophthalmology, ISSN: 2468-3922
2020-79Nonabelian Hodge theory and vector valued modular forms
Vertex operator algebras, number theory and related topics, 95-118, Contemp. Math., 753, Amer. Math. Soc., [Providence], RI, 2020
2020-80The inverse eigenvalue problem of a graph: multiplicities and minors
J. Combin. Theory Ser. B 142 (2020), 276-306
2020-82Using Markov chains to determine expected propagation time for probabilistic zero forcing
Electron. J. Linear Algebra 36 (2020), 318-333
2020-83Graphs that are cospectral for the distance Laplacian
Electron. J. Linear Algebra 36 (2020), 334-351
2020-85A mean field analysis of deep resNet and beyond: Towards provably optimization via overparameterization from depth
Proceedings of the 37th International Conference on Machine Learning, PMLR 119:6426-6436, 2020
2020-86Local-global principles for tori over arithmetic curves
Algebr. Geom. 7 (2020), no. 5, 607-633
2020-87Modeling the waning and boosting of immunity from infection or vaccination
J. Theoret. Biol. 497 (2020), 110265, 19 pp
2019
2019-2A Darboux theorem for derived schemes with shifted symplectic structure
J. Amer. Math. Soc. 32 (2019), no. 2, 399-443
2019-4On the topological computation of \(K_4\) of the Gaussian and Eisenstein integers
J. Homotopy Relat. Struct. 14 (2019), no. 1, 281-291.
2019-5Smooth, identifiable supermodels of discrete DAG models with latent variables
Bernoulli 25 (2019), no. 2, 848-876
2019-6Random integral matrices and the Cohen-Lenstra heuristics
Amer. J. Math. 141 (2019), no. 2, 383-398.
2019-7Detecting fully irreducible automorphisms: a polynomial time algorithm, With an appendix by Mark C. Bell
Exp. Math. 28 (2019), no. 1, 24-38
2019-8The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces
With an appendix by Khalid Bou-Rabee. Math. Proc. Cambridge Philos. Soc. 166 (2019), no. 1, 83-121
2019-10Salem numbers and arithmetic hyperbolic groups
Trans. Amer. Math. Soc. 372 (2019), no. 1, 329-355
2019-11On the Erdős-Hajnal conjecture for six-vertex tournaments
European J. Combin. 75 (2019), 113-122
2019-12A heuristic for boundedness of ranks of elliptic curves
J. Eur. Math. Soc. (JEMS) 21 (2019), no. 9, 2859-2903
2019-13Improved bounds in Weaver and Feichtinger conjectures
J. Reine Angew. Math. 749 (2019), 267-293
2019-14On the maximal rank problem for the complex homogeneous Monge-Ampére equation
Anal. PDE 12 (2019), no. 2, 493-503
2019-15Analytic \(L\)-functions: definitions, theorems, and connections
Bull. Amer. Math. Soc. (N.S.) 56 (2019), no. 2, 261-280
2019-16The reciprocal Mahler ensembles of random polynomials
Random Matrices Theory Appl. 8 (2019), no. 4, 1950012, 38 pp.
2019-19Normal bundles of rational curves on complete intersections
Commun. Contemp. Math. 21 (2019), no. 2, 1850011, 29 pp.
2019-20Monoidal categories enriched in braided monoidal categories
Int. Math. Res. Not. IMRN 2019, no. 11, 3527-3579
2019-21Central stability for the homology of congruence subgroups and the second homology of Torelli groups
Adv. Math. 354 (2019), 106740
2019-22An asymptotic expansion for the expected number of real zeros of real random polynomials spanned by {OPUC}
J. Math. Anal. Appl. 469 (2019), no. 1, 428-446
2019-23Isotopy of surfaces in 4-manifolds after a single stabilization
Adv. Math. 341 (2019), 609-615
2019-25Deligne categories and representations of the infinite symmetric group
Adv. Math. 346 (2019), 1-47
2019-26Mixing time of an unaligned Gibbs sampler on the square.
Stochastic Process. Appl. 129 (2019), no. 9, 3570-3584
2019-27Intermittent preventive treatment (IPT): its role in averting disease-induced mortality in children and in promoting the spread of antimalarial drug resistance
Bull. Math. Biol. 81 (2019), no. 1, 193-234
2019-28Dynamical Galois groups of trinomials and Odoni's conjecture
Bull. Lond. Math. Soc. 51 (2019), no. 2, 278-292
2019-30Modular groups, Hurwitz classes and dynamic portraits of NET maps
Groups Geom. Dyn. 13 (2019), no. 1, 47-88
2019-31An algorithm for Komlós conjecture matching Banaszczyk's bound
SIAM J. Comput. 48 (2019), no. 2, 534-553
2019-32Nonabelian Cohen-Lenstra moments, With an appendix by the author and Philip Matchett Wood
Duke Math. J. 168 (2019), no. 3, 377-427
2019-34Opening the Maslov box for traveling waves in skew-gradient systems: counting eigenvalues and proving (in)stability
Indiana Univ. Math. J. 68 (2019), no. 6, 1801-1832
2019-35Intermittent preventive treatment (IPT): its role in averting disease-induced mortality in children and in promoting the spread of antimalarial drug resistance
Bull. Math. Biol. 81 (2019), no. 1, 193-234.
2019-36Group actions on quiver varieties and applications
Internat. J. Math. 30 (2019), no. 2, 1950007, 46 pp
2019-37Bounded height in families of dynamical systems
Int. Math. Res. Not. IMRN 2019, no. 8, 2453-2482
2019-38Quasi-Mobius homeomorphisms of Morse boundaries
Bull. Lond. Math. Soc. 51 (2019), no. 3, 501-515
2019-40Modified Szegö-Widom asymptotics for block Toeplitz matrices with zero modes
J. Stat. Phys. 174 (2019), no. 1, 28-39
2019-41Linear Compartmental Models: Input-Output Equations and Operations That Preserve Identifiability.
SIAM J. Appl. Math. 79 (2019), no. 4, 1423-1447
2019-43Positive factorizations of symmetric mapping classes
J. Math. Soc. Japan 71 (2019), no. 1, 309-327
2019-44The threshold for SDP-refutation of random regular NAE-3SAT
Proceedings of the Thirtieth Annual ACM-SIAM Symposium on Discrete Algorithms, 2305-2321, SIAM, Philadelphia, PA, 2019
2019-45Knotted surfaces in 4-manifolds by knot surgery and stabilization
Trans. Amer. Math. Soc. 371 (2019), no. 12, 8405-8427
2019-47Restricted power domination and zero forcing problems
J. Comb. Optim. 37 (2019), no. 3, 935-956
2019-48Throttling positive semidefinite zero forcing propagation time on graphs
Discrete Appl. Math. 254 (2019), 33-46
2019-50Hypergraphs not containing a tight tree with a bounded trunk
SIAM J. Discrete Math. 33 (2019), no. 2, 862-873.
2019-53How ticks keep ticking in the adversity of host immune reactions
J. Math. Biol. 78 (2019), no. 5, 1331-1364
2019-54Persistence and spread of stage-structured populations in heterogeneous landscapes
J. Math. Biol. 78 (2019), no. 5, 1485-1527
2019-56Spectral sets: numerical range and beyond
SIAM J. Matrix Anal. Appl. 40 (2019), no. 3, 1087-1101
2019-58Natural boundary and zero distribution of random polynomials in smooth domains
Comput. Methods Funct. Theory 19 (2019), no. 3, 401-410
2019-59The defect of the Bennequin-Eliashberg inequality and Bennequin surfaces
Indiana Univ. Math. J. 68 (2019), no. 3, 799-833
2019-60Moduli of stable maps in genus one and logarithmic geometry, I
Geom. Topol. 23 (2019), no. 7, 3315-3366
2019-61Moduli of stable maps in genus one and logarithmic geometry, II
Algebra Number Theory 13 (2019), no. 8, 1765-1805
2019-62Splittings and calculational techniques for higher THH.
Algebr. Geom. Topol. 19 (2019), no. 7, 3711-3753
2019-63Rigid linkages and partial zero forcing
Electron. J. Combin. 26 (2019), no. 2, Paper 2.43, 25 pp
2019-64A representation of joint moments of CUE characteristic polynomials in terms of Painlevé functions
Nonlinearity 32 (2019), no. 10, 4033-4078
2019-65Dyadic harmonic analysis and weighted inequalities: the sparse revolution
New trends in applied harmonic analysis. Vol. 2-harmonic analysis, geometric measure theory, and applications, 159-239, Appl. Numer. Harmon. Anal., Birkhäuser/Springer, Cham, [2019], 2019
2019-67Comparing dynamics: deep neural networks versus glassy systems
J. Stat. Mech. Theory Exp. 2019, no. 12, 124013, 15 pp.
2019-68Current trends and open problems in arithmetic dynamics
Bull. Amer. Math. Soc. (N.S.) 56 (2019), no. 4, 611-685
2019-69A deficiency-based approach to parametrizing positive equilibria of biochemical reaction systems
Bull. Math. Biol. 81 (2019), no. 4, 1143-1172.
2019-71Waveform parameters of retrobulbar vessels in glaucoma patients with different demographics and disease severity
European Journal of Ophthalmology, 2019, doi.org/10.1177/1120672119848259
2019-72Factoring a Homography to Analyze Projective Distortion
J. Math. Imaging Vision 61 (2019), no. 7, 967-989
2019-73Selectivity of the KcsA potassium channel: Analysis and computation
Phys. Rev. E 100, 022406 - Published 7 August 2019
2019-74Resilience in hierarchical fluid flow networks
Phys. Rev. E 99, 012321 - Published 25 January 2019
2019-75Microvscular networks with uniform flow [Corrected title: Microvascular networks with uniform flow]
J. Theoret. Biol. 462 (2019), 48-64
2019-76A parameter-free model comparison test using differential algebra
Complexity, Volume 2019, Article ID 6041981, 15 pages
2019-77The mean square of the product of a Dirichlet L-function and a Dirichlet polynomial
Funct. Approx. Comment. Math. 61 (2019), no. 2, 147-177
2019-78Wasserstein of Wasserstein loss for learning generative models
Proceedings of the 36th International Conference on Machine Learning, PMLR 97:1716-1725, 2019 and preprint at mis.mpg.de
2019-79Pluricomplex Green's functions and Fano manifolds
Épijournal Géom. Algébrique 3 (2019), Art. 9, 15 pp.
2019-80A combinatorial model for computing volumes of flow polytopes
Trans. Amer. Math. Soc. 372 (2019), no. 5, 3369-3404
2019-81Local duality for representations of finite group schemes
Compos. Math. 155 (2019), no. 2, 424-453
2019-82Complexity of model testing for dynamical systems with toric steady states
Adv. in Appl. Math. 110 (2019), 42-75
2019-83Normal Approximation for Stochastic Gradient Descent via Non-Asymptotic Rates of Martingale CLT
Proceedings of Machine Learning Research vol 99:1-23, 2019, 32nd Annual Conference on Learning Theory
2019-84A generalization of Birch's theorem and vertex-balanced steady states for generalized mass-action systems
Math. Biosci. Eng. 16 (2019), no. 6, 8243-8267
2019-85Persistence exponents via perturbation theory: AR(1)-processes
J. Stat. Phys. 177 (2019), no. 4, 651-665
2019-86Microlocal analysis of Doppler synthetic aperture radar
Inverse Probl. Imaging 13 (2019), no. 6, 1283-1307
2019-89A bidomain model for lens microcirculation
Biophysical Journal, Published:March 19, 2019,Volume 116, Issue 6, P1171-1184, DOI:https://doi.org/10.1016/j.bpj.2019.02.007
2019-90The relationship between the intrinsic Cech and persistence distortion distances for metric graphs
Journal of Applied and Computational Topology, 10(1), 477-499, 2019
2019-91On the bijectivity of families of exponential/generalized polynomial maps
SIAM J. Appl. Algebra Geom. 3 (2019), no. 3, 412-438
2019-92Mixed moments of characteristic polynomials of random unitary matrices
J. Math. Phys. 60 (2019), no. 8, 083509, 26 pp
2019-94Conformal prediction under covariate shift
Part of Advances in Neural Information Processing Systems 32 (NeurIPS 2019)
2019-97On Higgs bundles on nodal curves
SIGMA Symmetry Integrability Geom. Methods Appl. 15 (2019), Paper No. 024, 16 pp
2019-99Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields
Trans. Amer. Math. Soc. 372 (2019), no. 8, 5263-5286
2019-100Local-global Galois theory of arithmetic function fields
Israel J. Math. 232 (2019), no. 2, 849-882
2018
2018-1Equivariant Schubert calculus and jeu de taquin
Ann. Inst. Fourier (Grenoble) 68 (2018), no. 1, 275-318
2018-2Parametrized spectra, multiplicative Thom spectra and the twisted Umkehr map
Geom. Topol. 22 (2018), no. 7, 3761-3825
2018-3Quantum curves for simple Hurwitz numbers of an arbitrary base curve
Topological recursion and its influence in analysis, geometry, and topology, 533-549, Proc. Sympos. Pure Math., 100, Amer. Math. Soc., Providence, RI, 2018
2018-4The Langlands-Weissman program for Brylinski-Deligne extensions
L-groups and the Langlands program for covering groups, Astérisque 2018, no. 398, 187-275. ISBN: 978-2-85629-845-9
2018-6The Bernardi process and torsor structures on spanning trees
Int. Math. Res. Not. IMRN 2018, no. 16, 5120-5147
2018-7Rigidity of frameworks on expanding spheres
SIAM J. Discrete Math. 32 (2018), no. 4, 2591-2611
2018-8Unique equilibrium states for Bonatti-Viana diffeomorphisms
Nonlinearity 31 (2018), no. 6, 2532-2570.
2018-9Isometric embedding via strongly symmetric positive systems
Asian J. Math. 22 (2018), no. 1, 1-40
2018-12Almost sure invariance principle for random piecewise expanding maps
Nonlinearity 31 (2018), no. 5, 2252-2280
2018-13Adaptive time-stepping strategies for nonlinear stochastic systems
IMA J. Numer. Anal. 38 (2018), no. 3, 1523-1549
2018-15A discrete Carleson theorem along the primes with a restricted supremum
Math. Z. 289 (2018), no. 3-4, 1033-1057
2018-16One-bit compressive sensing of dictionary-sparse signals
Inf. Inference 7 (2018), no. 1, 83-104
2018-17Hyperbolic four-manifolds
Handbook of group actions. Vol. III, 37-58, Adv. Lect. Math. (ALM), 40, Int. Press, Somerville, MA, 2018
2018-20Quantization of spectral curves for meromorphic Higgs bundles through topological recursion
Topological recursion and its influence in analysis, geometry, and topology, 179-229, Proc. Sympos. Pure Math., 100, Amer. Math. Soc., Providence, RI, 2018
2018-21Lectures on the topological recursion for Higgs bundles and quantum curves
The geometry, topology and physics of moduli spaces of Higgs bundles, 103-198, Lect. Notes Ser. Inst. Math. Sci. Natl. Univ. Singap., 36, World Sci. Publ., Hackensack, NJ, 2018
2018-22Strong arithmetic mirror symmetry and toric isogenies
Higher genus curves in mathematical physics and arithmetic geometry, 117–129, Contemp. Math., 703, Amer. Math. Soc., Providence, RI, 2018
2018-23Vanishing simplicial volume for certain affine manifolds
Proc. Amer. Math. Soc. 146 (2018), no. 3, 1287–1294
2018-24Patching and the \(p\)-adic Langlands program for \({\rm GL}_2(\Bbb Q_p)\)
Compos. Math. 154 (2018), no. 3, 503–548
2018-25Genera of Brill-Noether curves and staircase paths in Young tableaux
Trans. Amer. Math. Soc. 370 (2018), no. 5, 3405–3439
2018-26Poset edge densities, nearly reduced words, and barely set-valued tableaux
J. Combin. Theory Ser. A 158 (2018), 66–125
2018-31The relationship between \(k\)-forcing and \(k\)-power domination
Discrete Math. 341 (2018), no. 6, 1789-1797
2018-32Proof of a conjecture of Graham and Lovasz concerning unimodality of coefficients of the distance characteristic polynomial of a tree
Electron. J. Linear Algebra 34 (2018), 373-380
2018-33Applications of analysis to the determination of the minimum number of distinct eigenvalues of a graph
Pure Appl. Funct. Anal. 3 (2018), no. 4, 537-563
2018-34Cohen-Lenstra heuristics and local conditions
Res. Number Theory 4 (2018), no. 4, Art. 41, 22 pp
2018-35Instability of pulses in gradient reaction-diffusion systems: a symplectic approach
Philos. Trans. Roy. Soc. A 376 (2018), no. 2117, 20170187, 20 pp
2018-36Minimal transport networks with general boundary conditions
SIAM J. Appl. Math. 78 (2018), no. 3, 1511-1535
2018-37Representation stability for filtrations of Torelli groups
Math. Ann. 372 (2018), no. 1-2, 257-298
2018-41A \(C_2\)-equivariant analog of Mahowald's Thom spectrum theorem
Proc. Amer. Math. Soc. 146 (2018), no. 11, 5003-5012
2018-42Anderson and Gorenstein duality.
Geometric and topological aspects of the representation theory of finite groups, 105-130, Springer Proc. Math. Stat., 242, Springer, Cham, 2018
2018-47Primitive ideals of \(U(\mathfrak{sl}(\infty))\)
Bull. Lond. Math. Soc. 50 (2018), no. 3, 435-448
2018-48Unique equilibrium states for geodesic flows in nonpositive curvature
Geom. Funct. Anal. 28 (2018), no. 5, 1209-1259
2018-50Zeta functions of alternate mirror Calabi-Yau families
Israel J. Math. 228 (2018), no. 2, 665-705
2018-51The Galois action and cohomology of a relative homology group of Fermat Curves
J. Algebra 505 (2018), 33–69.
2018-52Truncated product representations for \(L\)-functions in the hyperelliptic ensemble
Mathematika 64 (2018), no. 1, 137–158.
2018-53Distribution of zeros for random Laurent rational functions
Comput. Methods Funct. Theory 18 (2018), no. 1, 143–157.
2018-55Four approaches to cohomology theories with reality. An alpine bouquet of algebraic topology, 139–156,
Contemp. Math., 708, Amer. Math. Soc., Providence, RI, 2018
2018-57A spectral approach for quenched limit theorems for random expanding dynamical systems
Comm. Math. Phys. 360 (2018), no. 3, 1121–1187.
2018-59On categories of admissible \((\frak{g}, \rm{sl}(2))\)-modules
Transform. Groups 23 (2018), no. 2, 463–489.
2018-60A continuum of pure states in the Ising model on a halfplane
J. Stat. Phys. 172 (2018), no. 2, 611-626
2018-63On the existence of infinite-dimensional generalized Harish-Chandra modules
São Paulo J. Math. Sci. 12 (2018), no. 2, 290-294
2018-64Some multidimensional integrals in number theory and connections with the Painlevé V equation
J. Math. Phys. 59 (2018), no. 9, 091404, 14 pp
2018-65Notes on open book decompositions for Engel structures
Algebr. Geom. Topol. 18 (2018), no. 7, 4275-4303
2018-66Throttling for the game of Cops and Robbers on graphs
Discrete Math. 341 (2018), no. 9, 2418-2430
2018-67Calculating the homology and intersection form of a 4-manifold from a trisection diagram
Proc. Natl. Acad. Sci. USA 115 (2018), no. 43, 10869-10874
2018-68Computing trisections of 4-manifolds
Proc. Natl. Acad. Sci. USA 115 (2018), no. 43, 10901-10907
2018-69Full Szegő-type trace asymptotics for ergodic operators on large boxes
Comm. Math. Phys. 362 (2018), no. 3, 983-1005
2018-71Fredkin spin chain
Ludwig Faddeev memorial volume, 439-458, World Sci. Publ., Hackensack, NJ, 2018
2018-72On the origin of crystallinity: a lower bound for the regularity radius of Delone sets
Acta Crystallogr. Sect. A 74 (2018), no. 6, 616-629
2018-73Extensions of a theorem of Erdős on nonhamiltonian graphs
J. Graph Theory 89 (2018), no. 2, 176-193
2018-74Homogenization analysis of invasion dynamics in heterogeneous landscapes with differential bias and motility
J. Math. Biol. 77 (2018), no. 1, 27-54
2018-75Movement behaviour determines competitive outcome and spread rates in strongly heterogeneous landscapes
Theoretical Ecology September 2018, Volume 11, Issue 3, pp 351-365
2018-76Optimization of a basin network using global search algorithms
Journal of Irrigation and Drainage Engineering, August 2018 Volume 144, Issue 8, Online publication date: May 18, 2018
2018-77The trisection genus of standard simply connected PL 4-manifolds
34th International Symposium on Computational Geometry, Art. No. 71, 13 pp., LIPIcs. Leibniz Int. Proc. Inform., 99, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2018
2018-79Remarks on the Crouzeix-Palencia proof that the numerical range is a \((1+\sqrt2)\)-spectral set
SIAM J. Matrix Anal. Appl. 39 (2018), no. 1, 342-345
2018-80Acyclic linear SEMs obey the nested Markov property
Proceedings of the Conference on AI, 2018; Uncertain Artif Intell. 2018 Aug;2018. pii: 255., https://www.ncbi.nlm.nih.gov/pubmed/30983907
2018-81Identification of personalized effects associated with causal pathways
Proceedings of the Conference on AI, 2018; Uncertain Artif Intell. 2018 Aug;2018. pii: 198., https://www.ncbi.nlm.nih.gov/pubmed/31565035
2018-82Estimation of Personalized Effects Associated With Causal Pathways
Proceedings of the Conference in Uncertainty in AI, 2018, https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6330047/
2018-83Vietoris-Rips and Čech complexes of metric gluings
34th International Symposium on Computational Geometry, Art. No. 3, 15 pp., LIPIcs. Leibniz Int. Proc. Inform., 99, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2018
2018-84Complex and Lagrangian Engel Structures.
Thesis (Ph.D.)-Duke University. 2018. 119 pp. ISBN: 978-0355-90627-1, ProQuest LLC
2018-85Homogenization techniques for population dynamics in strongly heterogeneous landscapes
J. Biol. Dyn. 12 (2018), no. 1, 171–193
2018-86Stability in the Erdős-Gallai theorem on cycles and paths, II
Discrete Math. 341 (2018), no. 5, 1253–1263
2018-87Families of graphs with maximum nullity equal to zero forcing number
Spec. Matrices 6 (2018), 56–67
2018-88Loops in \(\rm SL (2, \Bbb C)\) and root subgroup factorization
Random Matrices Theory Appl. 7 (2018), no. 3, 1850008, 26 pp
2018-93The Maslov and Morse indices for system Schrödinger operators on \(\Bbb R\)
Indiana Univ. Math. J. 67 (2018), no. 5, 1765-1815
2018-94A complete characterization of the one-dimensional intrinsic Cech persistence diagrams for metric graphs
Research in computational topology, 33-56, Assoc. Women Math. Ser., 13, Springer, Cham, 2018.
2018-95The Maslov index and the spectra of second order elliptic operators
Adv. Math. 329 (2018), 422-486
2018-96Singular FIOs in SAR imaging, II: Transmitter and receiver at different speeds
SIAM J. Math. Anal. 50 (2018), no. 1, 591-621
2018-98A dynamical variant of the Pink-Zilber conjecture
Algebra Number Theory 12 (2018), no. 7, 1749-1771
2018-99A cholera epidemic model in a spatiotemporally heterogeneous environment
Journal of Mathematical Analysis and Applications, 468(12) (2018), no. 2, 893-912
2018-100Use of visualization and metrics to aid in agricultural water management decisions
Proceedings of the 2018 South Carolina Water Resources Conference, 2018
2018-101On the Lichnerowicz conjecture for CR manifolds with mixed signature
C. R. Math. Acad. Sci. Paris 356 (2018), no. 5, 532-537
2018-102Aspects of the topology and combinatorics of Higgs bundle moduli spaces
SIGMA Symmetry Integrability Geom. Methods Appl. 14 (2018) Paper No. 129, 18 pp
2018-103Expected number of real roots for random linear combinations of orthogonal polynomials associated with radial weights
Potential Anal. 48 (2018), no. 4, 459-471
2018-104Attractive strings and five-branes, skew-holomorphic Jacobi forms and moonshine
J. High Energy Phys. 2018, no. 7, 130, front matter + 28 pp
2017
2017-1Gauss composition for \(\Bbb P^1\), and the universal Jacobian of the Hurwitz space of double covers
J. Algebra 470 (2017), 320-352
2017-2Asymptotic Structure of Graphs with the Minimum Number of Triangles
Combin. Probab. Comput. 26 (2017), no. 1, 138-160.
2017-4Quantum spectral curve for the Gromov-Witten theory of the complex projective line
J. Reine Angew. Math. 726 (2017), 267–289
2017-5On log canonical rings
Higher dimensional algebraic geometry in honour of Professor Yujiro Kawamata's sixtieth birthday, 159–169, Adv. Stud. Pure Math., 74, Math. Soc. Japan, Tokyo, 2017
2017-6Square principles in {\({\Bbb P}_{\max}\)} extensions
Israel J. Math. 217 (2017), no. 1, 231-261
2017-7Improved recovery guarantees for phase retrieval from coded diffraction patterns
Appl. Comput. Harmon. Anal. 42 (2017), no. 1, 37-64
2017-8Connectivity and irreducibility of algebraic varieties of finite unit norm tight frames
SIAM J. Appl. Algebra Geom. 1 (2017), no. 1, 38–72
2017-9Kantorovich duality for general transport costs and applications
J. Funct. Anal. 273 (2017), no. 11, 3327–3405
2017-11On crossing numbers of complete tripartite and balanced complete multipartite graphs
J. Graph Theory 84 (2017), no. 4, 552–565
2017-14On the asymptotics of constrained exponential random graphs
J. Appl. Probab. 54 (2017), no. 1, 165–180
2017-15Brauer groups on K3 surfaces and arithmetic applications
Brauer groups and obstruction problems, 177–218,Progr. Math., 320, Birkhäuser/Springer, Cham, 2017
2017-16Unramified Brauer classes on cyclic covers of the projective plane
With an appendix by Hugh Thomas. Progr. Math., 320, Brauer groups and obstruction problems, 115–153, Birkhäuser/Springer, Cham, 2017
2017-17Universal unramified cohomology of cubic fourfolds containing a plane
Brauer groups and obstruction problems, 29–55, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017
2017-18Classification theorems for operators preserving zeros in a strip
J. Anal. Math. 132 (2017), 177–215
2017-19The distribution of sandpile groups of random graphs
J. Amer. Math. Soc. 30 (2017), no. 4, 915–958
2017-20Stability of solitary-wave solutions of systems of dispersive equations
Appl. Math. Optim. 75 (2017), no. 1, 27–53
2017-21Teichmüller theory for conic surfaces
Geometry, analysis and probability, 127-164, Progr. Math., 310, Birkhäuser/Springer, Cham, 2017
2017-22Representation schemes and rigid maximal Cohen-Macaulay modules
Selecta Math. (N.S.) 23 (2017), no. 1, 1-14.
2017-25Sparse univariate polynomials with many roots over finite fields
Finite Fields Appl. 46 (2017), 235–246
2017-26Rational points on K3 surfaces and derived equivalence
Brauer groups and obstruction problems, 87–113, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017
2017-27Exponential decay of reconstruction error from binary measurements of sparse signals
IEEE Trans. Inform. Theory 63 (2017), no. 6, 3368–3385
2017-28Stability of equilibria of randomly perturbed maps
Discrete Contin. Dyn. Syst. Ser. B 22 (2017), no. 2, 369–381
2017-30Breaking the coherence barrier: a new theory for compressed sensing
Forum Math. Sigma 5 (2017), e4, 84 p
2017-31Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples
Appl. Comput. Harmon. Anal. 42 (2017), no. 3, 508–535
2017-32On modeling and estimation for the relative risk and risk difference
J. Amer. Statist. Assoc. 112 (2017), no. 519,
2017-34Arithmetically Cohen-Macaulay bundles on cubic fourfolds containing a plane
Brauer groups and obstruction problems, 155-175, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017
2017-35The Brauer group is not a derived invariant
Brauer groups and obstruction problems, 1-5, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017
2017-36Pseudospectra of the Schrödinger operator with a discontinuous complex potential
J. Spectr. Theory 7 (2017), no. 3, 659-697
2017-37Finite ramification for preimage fields of post-critically finite morphisms
Math. Res. Lett. 24 (2017), no. 6, 1633-1647
2017-40Mean curvature flow of entire graphs evolving away from the heat flow
Proc. Amer. Math. Soc. 145 (2017), no. 2, 861-869
2017-42The hyperbolicity of the sphere complex via surgery paths
J. Reine Angew. Math. 730 (2017), 135–161
2017-43Distinguished-root formulas for generalized Calabi-Yau hypersurfaces
Algebra Number Theory 11 (2017), no. 6, 1317–1356
2017-44An integral weight realization theorem for subset currents on free groups
Topology Proc. 50 (2017), 213–236
2017-45Exact Solution of the Classical Dimer Model on a Triangular Lattice: Monomer-Monomer Correlations
Comm. Math. Phys. 356 (2017), no. 2, 397–425
2017-46Modelling Wolbachia infection in a sex-structured mosquito population carrying West Nile virus
J. Math. Biol. 75 (2017), no. 3, 621–647
2017-47On cap sets and the group-theoretic approach to matrix multiplication
Discrete Anal. 2017, Paper No. 3, 27 pp
2017-49Asymptotic spectral analysis in colliding leaky quantum layers
J. Math. Anal. Appl. 446 (2017), no. 2, 1328–1355
2017-50Exact and memory-dependent decay rates to the non-hyperbolic equilibrium of differential equations with unbounded delay and maximum functional
Electron. J. Qual. Theory Differ. Equ. 2017, Paper No. 40, 65 pp.
2017-51A discrete quadratic Carleson theorem on with \(\ell^2\) with a restricted supremum
Int. Math. Res. Not. IMRN 2017, no. 10, 3180–3208
2017-52Resonance in orbits of plane partitions and increasing tableaux
J. Combin. Theory Ser. A 148 (2017), 244–274
2017-53On volumes of quasi-arithmetic hyperbolic lattices
Selecta Math. (N.S.) 23 (2017), no. 4, 2849–2862
2017-55Braid moves in commutation classes of the symmetric group
European J. Combin. 62 (2017), 15–34
2017-56Stabilization of difference equations with noisy proportional feedback control
Discrete Contin. Dyn. Syst. Ser. B 22 (2017), no. 6, 2067–2088
2017-57On a local-global principle for \(H^3\) of function fields of surfaces over a finite field
Brauer groups and obstruction problems, 219–230, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017
2017-58Universal spaces for unramified Galois cohomology
Brauer groups and obstruction problems, 57–86, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017
2017-59Rational points on twisted K3 surfaces and derived equivalences
Brauer groups and obstruction problems, 13–28, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017.
2017-60Twisted derived equivalence for affine schemes
Brauer groups and obstruction problems, 7–12, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017.
2017-61Non-abelian Cohen-Lenstra heuristics over function fields
Compos. Math. 153 (2017), no. 7, 1372–1390
2017-62Mass formulas for local Galois representations and quotient singularities II: Dualities and resolution of singularities
Algebra Number Theory 11 (2017), no. 4, 817–840
2017-64Endomorphisms, train track maps, and fully irreducible monodromies
Groups Geom. Dyn. 11 (2017), no. 4, 1179–1200
2017-65McMullen polynomials and Lipschitz flows for free-by-cyclic groups
J. Eur. Math. Soc. (JEMS) 19 (2017), no. 11, 3253–3353
2017-66Square function estimates on layer potentials for higher-order elliptic equations
Math. Nachr. 290 (2017), no. 16, 2459–2511
2017-67Abelian \(n\)-division fields of elliptic curves and Brauer groups of product Kummer & abelian surfaces
Forum Math. Sigma 5 (2017), e26, 42 pp.
2017-68On tangent cones of Schubert varieties
Arnold Math. J. 3 (2017), no. 4, 451–482 14N15 (14M15)
2017-69On \(\ell\)-torsion in class groups of number fields
Algebra Number Theory 11 (2017), no. 8, 1739–1778
2017-71No-slip billiards in dimension two
Dynamical systems, ergodic theory, and probability: in memory of Kolya Chernov, 91–110, Contemp. Math., 698, Amer. Math. Soc., Providence, RI, 2017
2017-72Fermionic modular categories and the 16-fold way
J. Math. Phys. 58 (2017), no. 4, 041704, 31 pp.
2017-74The dynamical André-Oort conjecture: unicritical polynomials
Duke Math. J. 166 (2017), no. 1, 1–25.
2017-75The \(p\)-filter: multilayer false discovery rate control for grouped hypotheses
J. R. Stat. Soc. Ser. B. Stat. Methodol. 79 (2017), no. 4,
2017-76Restricted invertibility revisited
A journey through discrete mathematics, 657–691, Springer, Cham, 2017
2017-77The cardinality of the augmentation category of a Legendrian link
Math. Res. Lett. 24 (2017), no. 6, 1845-1874
2017-78Expected zeros of random orthogonal polynomials on the real line
Jaen J. Approx. 9 (2017), no. 1, 1-24
2017-79A reverse Gaussian correlation inequality by adding cones
Statist. Probab. Lett. 123 (2017), 84-87
2017-80A large arboreal Galois representation for a cubic postcritically finite polynomial
Res. Number Theory 3 (2017), Art. 29, 21 pp
2017-81De-biasing low-rank projection for matrix completion
Proc. SPIE 10394, Wavelets and Sparsity XVII, 1039417 (24 August 2017); doi: 10.1117/12.2275004
2017-82General models for rational cameras and the case of two-slit projections
2017 IEEE Conference on Computer Vision and Pattern Recognition (CVPR), DOI Bookmark: 10.1109/CVPR.2017.270, Pages: 2520-2528
2017-85The euclidean distance degree of orthogonally invariant matrix varieties
Israel J. Math. 221 (2017), no. 1, 291–316
2017-90The enhanced principal rank characteristic sequence for Hermitian matrices
Electron. J. Linear Algebra 32 (2017), 58–75
2017-91Generalizations of the strong Arnold property and the minimum number of distinct eigenvalues of a graph
Electron. J. Combin. 24 (2017), no. 2, Paper 2.40, 28 pp.
2017-92On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics
Ann. PDE 3 (2017), no. 2, Art. 15, 12 pp.
2017-93Note on power propagation time and lower bounds for the power domination number
J. Comb. Optim. 34 (2017), no. 3, 736–741.
2017-94On the Form and Growth of Complex Crystals: The Case of Tsai-Type Clusters
Symmetry 2017, 9(9), 188
2017-96Polynomial mixing of the edge-flip Markov chain for unbiased dyadic tilings
Approximation, randomization, and combinatorial optimization. Algorithms and techniques, Art. No. 34, 21 pp., LIPIcs. Leibniz Int. Proc. Inform., 81, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2017
2017-97Persistence of Gaussian processes: non-summable correlations
Probab. Theory Related Fields 169 (2017), no. 3-4, 1007–1039
2017-98Height bounds for algebraic numbers satisfying splitting conditions
J. Number Theory 175 (2017), 250-264
2017-99Energy integrals and small points for the Arakelov height
Arch. Math. (Basel) 109 (2017), no. 5, 441-454
2017-100Reaction-diffusion on metric graphs: from 3D to 1D
Comput. Math. Appl. 73 (2017), no. 9, 2035-2052
2017-101Building sustainable decision tools for a sustainable environment
SIAM News, Research April 03, 2017
2017-102Ricci curvature bounds for weakly interacting Markov chains
Electron. J. Probab. Volume 22 (2017), paper no. 40, 23 pp
2017-104Counting spectrum via the Maslov index for one dimensional \(\theta\)-periodic Schrödinger operators
Proc. Amer. Math. Soc. 145 (2017), no. 1, 363-377
2017-105A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation
C. R. Math. Acad. Sci. Paris 355 (2017), no. 8, 835-846
2017-106The Maslov index for Lagrangian pairs on \(R^{2n}\)
J. Math. Anal. Appl. 451 (2017), no. 2, 794-821.
2017-107Invertibility properties of singular integral operators associated with the Lamé and Stokes systems on infinite sectors in two dimensions
Integral Equations Operator Theory 89 (2017), no. 2, 151-207
2016
2016-1Optical knots and contact geometry II. From Ranada dyons to transverse and cosmetic knots
Ann. Physics 371 (2016), 77-124
2016-2Tight contact structures on the Brieskorn spheres \(-\Sigma(2,3,6n-1)\) and contact invariants
J. Reine Angew. Math. 718 (2016), 1-24
2016-3A brief introduction to Hilbert space frame theory and its applications
Finite frame theory, 1-51, Proc. Sympos. Appl. Math., 73, AMS Short Course Lecture Notes, Amer. Math. Soc., Providence, RI, 2016
2016-4Quadratic base change and the analytic continuation of the Asai \(L\)-function: a new trace formula approach
Amer. J. Math. 138 (2016), no. 6, 1669–1729
2016-5Moduli of generalized line bundles on a ribbon
J. Pure Appl. Algebra 220 (2016), no. 2, 822-844
2016-6Dynamics of calcium signal and leukotriene \(\rm C_4\) release in mast cells network induced by mechanical stimuli and modulated by interstitial fluid flow
Adv. Appl. Math. Mech. 8 (2016), no. 1, 67-81
2016-7Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space
Geom. Funct. Anal. 26 (2016), no. 2, 379-421.
2016-8Diophantine approximations and directional discrepancy of rotated lattices
Trans. Amer. Math. Soc. 368 (2016), no. 6, 3871–3897
2016-9Dynamics of calcium signal and leukotriene C4 release in mast cells network induced by mechanical stimuli and modulated by interstitial fluid flow
Adv. Appl. Math. Mech. 8 (2016), no. 1, 67–81
2016-10Statistics for ordinary Artin-Schreier covers and other p-rank strata
Trans. Amer. Math. Soc. 368 (2016), no. 4, 2371-2413
2016-11Quantitative Darboux theorems in contact geometry
Trans. Amer. Math. Soc. 368 (2016), no. 11, 7845-7881
2016-14Affine permutations and rational slope parking functions
Trans. Amer. Math. Soc. 368 (2016), no. 12, 8403-8445
2016-15Modeling an augmented Lagrangian for blackbox constrained optimization
Technometrics 58 (2016), no. 1, 1-11
2016-16Hypersurfaces quartiques de dimension 3: non-rationalité stable
Ann. Sci. Éc. Norm. Supér. (4) 49 (2016), no. 2, 371-397
2016-18On the cohomology of linear groups over imaginary quadratic fields
J. Pure Appl. Algebra 220 (2016), no. 7, 2564-2589
2016-19Moriwaki divisors and the augmented base loci of divisors on the moduli space of curves
Michigan Math. J. 65 (2016), no. 3, 533-546
2016-20Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry
Found. Comput. Math. 16 (2016), no. 1, 69-97
2016-22Asymptotic quantization of exponential random graphs
Ann. Appl. Probab. 26 (2016), no. 6, 3251-3285
2016-23Abelian networks I. Foundations and examples
SIAM J. Discrete Math. 30 (2016), no. 2, 856-874
2016-24Variational Bayes model averaging for graphon functions and motif frequencies inference in W-graph models
Stat. Comput. 26 (2016), no. 6, 1173-1185
2016-25A strong restricted isometry property, with an application to phaseless compressed sensing
Appl. Comput. Harmon. Anal. 40 (2016), no. 2, 386-395
2016-29A relative Grace theorem for complex polynomials
Math. Proc. Cambridge Philos. Soc. 161 (2016), no. 1, 17-30
2016-31A global Nullstellensatz for ideals of Denjoy-Carleman functions
Proc. Amer. Math. Soc. 144 (2016), no. 5, 2067-2071
2016-32Intermediate sums on polyhedra II: bidegree and Poisson formula
Mathematika 62 (2016), no. 3, 653-684
2016-33Patching and the \(p\)-adic local Langlands correspondence
Camb. J. Math. 4 (2016), no. 2, 197–28
2016-34Image reconstruction from undersampled Fourier data using the polynomial annihilation transform
J. Sci. Comput. 67 (2016), no. 2, 432-452
2016-35Disjoint edges in topological graphs and the tangled-thrackle conjecture
Graph drawing (2016) 284-293
2016-40On the number of generators of ideals in polynomial rings
Ann. of Math. (2) 184 (2016), no. 1, 315-33
2016-41Approximate polynomial structure in additively large sets
Integers 16 (2016), Paper No. A49, 11 pp
2016-43Representations of integers by systems of three quadratic forms
Proc. Lond. Math. Soc. (3) 113 (2016), no. 3, 289-344
2016-46Algebraic systems biology: a case study for the Wnt pathway
Bull. Math. Biol. 78 (2016), no. 1, 21-51
2016-47The distribution of \(\Bbb{F}_q\)-points on cyclic \(\ell\)-covers of genus \(g\)
Int. Math. Res. Not. IMRN 2016, no. 14, 4297-4340
2016-48Loops in \(\rm SU(2)\), Riemann surfaces, and factorization, I
SIGMA Symmetry Integrability Geom. Methods Appl. 12 (2016), Paper No. 025, 29 pp
2016-50Small-data shock formation in solutions to 3D quasilinear wave equations: an overview
J. Hyperbolic Differ. Equ. 13 (2016), no. 1, 1-105
2016-51Unique equilibrium states for flows and homeomorphisms with non-uniform structure
Adv. Math. 303 (2016), 745-799
2016-52The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials
Trans. Amer. Math. Soc. 368 (2016), no. 11, 8145-8207
2016-53An inequality for tensor product of positive operators and its applications
Linear Algebra Appl. 498 (2016), 99-105
2016-54High density piecewise syndeticity of product sets in amenable groups
J. Symb. Log. 81 (2016), no. 4, 1555-1562
2016-55On the classification of weakly integral modular categories
J. Pure Appl. Algebra 220 (2016), no. 6, 2364-238
2016-56\(L^p\) mapping properties of the Bergman projection on the Hartogs triangle
Proc. Amer. Math. Soc. 144 (2016), no. 4, 1643-1653
2016-57The Langlands quotient theorem for finite central extensions of p-adic groups II: intertwining operators and duality
Glas. Mat. Ser. III 51(71) (2016), no. 1, 153-163
2016-58Brieskorn manifolds, positive Sasakian geometry, and contact topology
Forum Math. 28 (2016), no. 5, 943-965
2016-59Proof of Stembridge's conjecture on stability of Kronecker coefficients
J. Algebraic Combin. 43 (2016), no. 1, 1-10.
2016-63Causal inference with a graphical hierarchy of interventions
Ann. Statist. 44 (2016), no. 6, 2433-2466
2016-64A note on small gaps between primes in arithmetic progressions
Acta Arith. 172 (2016), no. 4, 351-375
2016-65Noncrossing partitions, toggles, and homomesies
Electron. J. Combin. 23 (2016), no. 3, Paper 3.52, 26 pp
2016-66Shock formation in small-data solutions to 3D quasilinear wave equations
Mathematical Surveys and Monographs, 214. American Mathematical Society, Providence, RI, 2016. xxiii+515 pp. ISBN: 978-1-4704-2857-0
2016-69Stochastic dynamics: Markov chains and random transformations
Discrete Contin. Dyn. Syst. Ser. B 21 (2016), no. 7, 2337-2361
2016-71Hypergraph Ramsey numbers: tight cycles versus cliques
Bull. Lond. Math. Soc. 48 (2016), no. 1, 127-134
2016-73Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients
Manuscripta Math. 151 (2016), no. 3-4, 375-418
2016-74Serre's problem on the density of isotropic fibres in conic bundles
Proc. Lond. Math. Soc. (3) 113 (2016), no. 2, 261-288
2016-75On convergence of solutions to difference equations with additive perturbations
Difference Equ. Appl. 22 (2016), no. 7, 878-903
2016-76Stabilisation of difference equations with noisy prediction-based control
Phys. D 326 (2016), 21-31
2016-77Stochastic difference equations with the Allee effect
Discrete Contin. Dyn. Syst. 36 (2016), no. 11, 5929-5949
2016-78Stochastic stability analysis of a reduced galactic dynamo model with perturbed \(\alpha\)-effect
Phys. A 457 (2016), 480-49
2016-79Hyperbolic 4-manifolds, colourings and mutations
Proc. Lond. Math. Soc.(3) 113 (2016), no. 2, 163-184
2016-81On a trilinear singular integral form with determinantal kernel
Proc. Amer. Math. Soc. 144 (2016), no. 8, 3465-3477
2016-82Rudnick and Soundararajan's theorem for function fields
Finite Fields Appl. 37 (2016), 311-327
2016-83On the admissibility of unboundedness properties of forced deterministic and stochastic sublinear Volterra summation equations
Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 63, 44 pp.
2016-84Quantum mock modular forms arising from eta-theta functions
Res. Number Theory 2 (2016), Art. 14, 41 pp
2016-85Generalised cosine functions, basis and regularity properties
J. Math. Anal. Appl. 444 (2016), no. 1, 25-46
2016-90Cannon-Thurston maps for hyperbolic free group extensions
Israel J. Math. 216 (2016), no. 2, 753-797
2016-92BPS counting for knots and combinatorics on words
J. High Energy Phys. 2016, no. 11, 120, front matter+38 pp
2016-93Using Mathematics at AIM to Outwit Mosquitoes
March 2016, Notices of the AMS. Volume 63, number 3, 292-293
2016-95Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
Proceedings of the 10'th Colloquium on the Qualitative Theory of Differential Equations, No. 2, 32 pp., Electron. J. Qual. Theory Differ. Equ., Szeged, 2016
2016-96Rank 4 premodular categories
With an Appendix by César Galindo, Siu-Hung Ng, Julia Plavnik, Eric Rowell and Zhenghan Wang, New York J. Math. 22 (2016), 775–800
2016-97Asymptotics for number fields and class groups
Directions in number theory, 291–339, Assoc. Women Math. Ser., 3, Springer, Cham, 2016
2016-101Signatures in algebra, topology and dynamics
Six papers on signatures, braids and Seifert surfaces, 1–173, Ensaios Mat., 30, Soc. Brasil. Mat., Rio de Janeiro, 2016
2016-103Using simulation-based optimization to guide allocations of surface and ground water resources for agricultural water use
Proceedings of the 2017 South Carolina Water Resources Conference, Columbia Metropolitan Convention Center, Columbia, SC, October 2016
2016-104Expected number of real zeros for random linear combinations of orthogonal polynomials
Proc. Amer. Math. Soc. 144 (2016), no. 4, 1631–1642
2016-105Towards a constructive version of Banaszczyk's vector balancing theorem
Approximation, randomization, and combinatorial optimization. Algorithms and techniques, Art. No. 28, 12 pp., LIPIcs. Leibniz Int. Proc. Inform., 60, Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2016
2016-106Theoretical predictions of metabolic flow regulation in the retina
Journal for Modeling in Ophthalmology, Vol 1, No 2 (2016), 70-78
2016-107Mathematical modeling of aqueous humor flow and intraocular pressure under uncertainty: towards individualized glaucoma management
Journal for Modeling in Ophthalmology, Vol 1, No 2 (2016), 29-39
2016-108Computer-aided identification of novel ophthalmic artery waveform parameters in healthy subjects and glaucoma patients
Journal for Modeling in Ophthalmology, Vol 1, No 2 (2016), 59-69
2016-109Fractional zero forcing via three-color forcing games
Discrete Appl. Math. 213 (2016), 114–129.
2016-110Asymptotic zero distribution of random polynomials spanned by general bases
Modern trends in constructive function theory, 121–140, Contemp. Math., 661, Amer. Math. Soc., Providence, RI, 2016
2016-111Relative Manin-Mumford for semi-Abelian surfaces
Proc. Edinb. Math. Soc. (2) 59 (2016), no. 4, 837-875
2016-113Moments of zeta and correlations of divisor-sums: IV
Res. Number Theory 2 (2016), Art. 24, 24 pp
2016-114Development and use of mathematical models and software frameworks for integrated analysis of agricultural systems and associated water use impact
AIMS Agriculture and Food, 1(2): 208-226, (23 May 2016) AIMS Agriculture and Food, 1(2): 208-226, 23 May 201
2016-115Interpreting the Bökstedt smash product as the norm
Proc. Amer. Math. Soc. 144 (2016), no. 12, 5419-5433.
2016-116Inverse scattering transform for the defocusing nonlinear Schrödinger equation with fully asymmetric non-zero boundary conditions
Phys. D 333 (2016), 117-136
2016-117The three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions
Comm. Math. Phys. 348 (2016), no. 2, 475-533
2016-118Common midpoint versus common offset acquisition geometry in seismic imaging
Inverse Probl. Imaging 10 (2016), no. 1, 87-102
2016-119Galois action on the homology of Fermat curve
Directions in number theory, 57-86, Assoc. Women Math. Ser., 3, Springer, [Cham], 2016
2015
2015-2On the character degrees of Sylow \(p\)-subgroups of Chevalley groups \(G(p^f)\) of type \(E\)
Forum Math. 27 (2015), no. 1, 1-55
2015-4Finitely many smooth d-polytopes with n lattice points
Israel J. Math. 207 (2015), no. 1, 301-329.
2015-6Duflo's conjecture for the branching problem to the Iwasawa \(AN\)-subgroup of a semisimple Lie group
Math. Ann. 362 (2015), no. 1-2, 107-120
2015-8Splitting varieties for triple Massey products
J. Pure Appl. Algebra 219 (2015), no. 5, 1304-1319.
2015-9Persistence and stability properties of powers of ideals
J. Pure Appl. Algebra 219 (2015), no. 3, 530-542
2015-11Discrete components in restriction of unitary representations of rank one semisimple Lie groups
J. Funct. Anal. 269 (2015), no. 12, 3689-3713
2015-13Sperner's theorem and a problem of Erdős, Katona and Kleitman
Combin. Probab. Comput. 24 (2015), no. 4, 585-608
2015-14Indecomposable \(F_N\)-trees and minimal laminations
Groups Geom. Dyn. 9 (2015), no. 2, 567-597
2015-15Cyclic extensions of fusion categories via the Brauer-Picard groupoid
Quantum Topol. 6 (2015), no. 2, 313-331
2015-16Constructing spoke subfactors using the jellyfish algorithm
Trans. Amer. Math. Soc. 367 (2015), no. 5, 3257-3298
2015-17Phase transitions and equilibrium measures in random matrix models
Comm. Math. Phys. 333 (2015), no. 3, 1109-1173
2015-18Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane
Comm. Pure Appl. Math. 68 (2015), no. 1, 112-172
2015-21Symmetries and stabilization for sheaves of vanishing cycles
With an appendix by Jörg Schürmann. J. Singul. 11 (2015), 85-151
2015-23The discriminant and oscillation lengths for contact and Legendrian isotopies
J. Eur. Math. Soc. (JEMS) 17 (2015), no. 7, 1657-1685
2015-25All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials
Quantum Topol. 6 (2015), no. 1, 39-138
2015-26Abstract loop equations, topological recursion and new applications
Commun. Number Theory Phys. 9 (2015), no. 1, 51-187
2015-27Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture
Comm. Math. Phys. 337 (2015), no. 2, 483-567
2015-28Path cover number, maximum nullity, and zero forcing number of oriented graphs and other simple digraphs
Involve 8 (2015), no. 1, 147-167
2015-29Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves
Camb. J. Math. 3 (2015), no. 3, 275-321
2015-31Purity for graded potentials and quantum cluster positivity
Compos. Math. 151 (2015), no. 10, 1913-1944
2015-32A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balanced
Discrete Contin. Dyn. Syst. Ser. B 20 (2015), no. 4, 1077–1105
2015-33Microlocal analysis in tomography
Handbook of mathematical methods in imaging. Vol. 1, 2, 3, 847-902, Springer, New York, 2015
2015-34Parameter identifiability of discrete Bayesian networks with hidden variables
J. Causal Inference 3 (2015), no. 2, 189-205
2015-35Discrete branching laws for minimal holomorphic representations
J. Lie Theory 25 (2015), no. 4, 949-983
2015-36Unirational threefolds with no universal codimension 2 cycle
Invent. Math. 201 (2015), no. 1, 207-237
2015-38An algorithm to detect full irreducibility by bounding the volume of periodic free factors
Michigan Math. J. 64 (2015), no. 2, 279-292
2015-39A global convergence result for processive multisite phosphorylation systems
Bull. Math. Biol. 77 (2015), no. 1, 126-155
2015-41Sandpiles, spanning trees, and plane duality
SIAM J. Discrete Math. 29 (2015), no. 1, 461-471
2015-42Threshold state and a conjecture of Poghosyan, Poghosyan, Priezzhev and Ruelle
Comm. Math. Phys. 335 (2015), no. 2, 1003-1017
2015-43Computing Néron-Severi groups and cycle class groups
Compos. Math. 151 (2015), no. 4, 713-734
2015-45The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients
Math. Ann. 361 (2015), no. 3-4, 863-907
2015-48A heuristic for the distribution of point counts for random curves over finite field
Philos. Trans. A 373 (2015), no. 2040, 20140310, 12 pp
2015-49s-lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones
Ramanujan J. 36 (2015), no. 1-2, 123-147
2015-50On a Cohen-Lenstra heuristic for Jacobians of random graphs
J. Algebraic Combin. 42 (2015), no. 3, 701-723
2015-51Descente galoisienne sur le second groupe de Chow: mise au point et applications
Doc. Math. 2015, Extra vol.: Alexander S. Merkurjev's sixtieth birthday, 195-220
2015-52Bounding the socles of powers of squarefree monomial ideals
Commutative algebra and noncommutative algebraic geometry. Vol. II, 223-229, Math. Sci. Res. Inst. Publ., 68, Cambridge Univ. Press, New York, 2015
2015-54Frame potentials and the geometry of frames
J. Fourier Anal. Appl. 21 (2015), no. 6, 1344-1383
2015-55Rotor-routing and spanning trees on planar graphs
Int. Math. Res. Not. IMRN 2015, no. 11, 3225-3244
2015-56Equivalence classes of augmentations and Morse complex sequences of Legendrian knots
Algebr. Geom. Topol. 15 (2015), no. 6, 3323-3353
2015-57Lyapunov functions, stationary distributions, and non-equilibrium potential for reaction networks
Bull. Math. Biol. 77 (2015), no. 9, 1744-1767
2015-58Lagrangian cobordisms via generating families: construction and geography
Algebr. Geom. Topol. 15 (2015), no. 4, 2439-2477
2015-60Asymptotics of determinants of Hankel matrices via non-linear difference equations
J. Approx. Theory 198 (2015), 63-110
2015-61Finite-horizon parameterizing manifolds, and applications to suboptimal control of nonlinear parabolic PDEs
Acta Appl. Math. 135 (2015), 81-144
2015-62Approximate tensorization of entropy at high temperature
Ann. Fac. Sci. Toulouse Math. (6) 24 (2015), no. 4, 691-716
2015-63An algebraic characterization of injectivity in phase retrieval
Appl. Comput. Harmon. Anal. 38 (2015), no. 2, 346–356
2015-64The conjectural relation between generalized Shalika models on \({\rm SO}_{4n}(F)\) and symplectic linear models on \({\rm Sp}_{4n}(F)\): a toy example
Women in numbers Europe, 87–107, Assoc. Women Math. Ser., 2, Springer, Cham, 2015
2015-65Adaptive Wick-Malliavin approximation to nonlinear SPDEs with discrete random variables
SIAM J. Sci. Comput. 37 (2015), no. 4, A1872–A1890
2015-66Lectures on the isometric embedding problem \((M^n,g)\to\Bbb R^m\)}, {\(m=\frac n2(n+1)\)
Differential geometry and continuum mechanics, 77–120, Springer Proc. Math. Stat., 137, Springer, Cham, 2015
2015-67Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients
Math. Comp. 84 (2015), no. 291, 237-270
2015-68Recovering from selection bias using marginal structure in discrete models
Published in ACI@UAI 2015
2015-69A decision making framework with MODFLOW-FMP2 via optimization: Determining trade-offs in crop selection
Environmental Modelling & Software Volume 69, July 2015, Pages 280-291
2015-70Bounded gaps between primes in number fields and function fields
Proc. Amer. Math. Soc. 143 (2015), no. 7, 2841-2856
2015-71Moments of zeta functions associated to hyperelliptic curves over finite fields
Philos. Trans. A 373 (2015), no. 2040, 20140307, 37 pp
2015-72Arithmetic functions at consecutive shifted primes
Int J. Number Theory 11 (2015), no. 5, 1477-1498
2015-74Windings of the stable Kolmogorov process
ALEA Lat. Am. J. Probab. Math. Stat. 12 (2015), no. 1, 115-127
2015-75Dualité et principe local-global pour les tores sur une courbe au-dessus de C((t))
Proc. Lond. Math. Soc. (3) 110 (2015), no. 6, 1475-1516
2015-76Anchored boundary conditions for locally isostatic networks
Phys. Rev. E 92, 053306 – Published 30 November 2015
2015-77Moments of zeta and correlations of divisor-sums: I
Philos. Trans. Roy. Soc. A 373 (2015), no. 2040, 20140313, 11 pp
2015-78Moments of zeta and correlations of divisor-sums: II
Advances in the theory of numbers, 75-85, Fields Inst. Commun., 77, Fields Inst. Res. Math. Sci., Toronto, ON, 2015
2015-79Moments of zeta and correlations of divisor-sums: III
Indag. Math. (N.S.) 26 (2015), no. 5, 736-747
2015-80\(R\)-equivalence and \(\Bbb A^1\)-connectedness in anisotropic groups
Int. Math. Res. Not. IMRN 2015, no. 22, 11816–11827
2015-81Sequential design for achieving estimated accuracy of global sensitivities
Appl. Stoch. Models Bus. Ind. 31 (2015), no. 6, 782–800
2015-82Optimization under constraints by applying an asymmetric entropy measure
J. Comput. Graph. Statist. 24 (2015), no. 2, 379–393
2015-83The mesh adaptive direct search algorithm with treed Gaussian process surrogates
Pac. J. Optim. 11 (2015), no. 3, 419–447
2015-84Fourier reconstruction of univariate piecewise-smooth functions from non-uniform spectral data with exponential convergence rates
Appl. Comput. Harmon. Anal. 39 (2015), no. 3, 427–449
2015-85Image reconstruction from Fourier data using sparsity of edges
J. Sci. Comput. 65 (2015), no. 2, 533–552
2015-86Segregated graphs and marginals of chain graph models
Part of: Advances in Neural Information Processing Systems 28 (NIPS 2015), Neural Information Processing Systems Foundation, Inc.
2015-87Missing data as a causal and probabilistic problem
In Marina Meila and Tom Heskes (Eds.), Proceedings of the 31st Conference on Uncertainty in Artificial Intelligence, Corvallis, OR: AUAI Press, 802–811, 2015.
2015-88Stabilisation of the LHS spectral sequence for algebraic groups
J. Lie Theory 25 (2015), no. 3, 807-813
2015-89Mass formulas for local Galois representations and quotient singularities. I: a comparison of counting functions
Int. Math. Res. Not. IMRN 2015, no. 23, 12590-12619
2015-90Cannon-Thurston fibers for iwip automorphisms of \(F_N\)
J. Lond. Math. Soc. (2) 91 (2015), no. 1, 203-224
2015-91A train track directed random walk on \({\rm Out}(F_r)\)
Internat. J. Algebra Comput. 25 (2015), no. 5, 745-798
2015-92Patterson-Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for outer space
Pacific J. Math. 277 (2015), no. 2, 371-398
2015-94Intermittent Preventive Treatment (IPT) and the Spread of Drug Resistant Malaria
Applications of Dynamical Systems in Biology and Medicine. The IMA Volumes in Mathematics and its Applications, vol 158. Springer, New York, NY Conference proceedings 2015
2015-95A theoretical investigation of the increase in venous oxygen saturation levels in glaucoma patients
Investigative Ophthalmology & Visual Science June 2015, Vol.56, 2739. doi:
2015-96Theoretical analysis of the relationship between changes in retinal blood flow and ocular perfusion pressure
doi:10.1166/jcsmd.2015.1063, J. Coupled Syst. Multiscale Dyn., Vol. 3(1)/2330-152X/2015/038/009
2015-98Polarization interactions in multi-component defocusing media
J. Phys. A 48 (2015), no. 39, 395202, 13 pp.
2015-99Inverse scattering transform for the defocusing Manakov system with nonzero boundary conditions
SIAM J. Math. Anal. 47 (2015), no. 1, 706-757
2015-100The integrable nature of modulational instability
SIAM J. Appl. Math. 75 (2015), no. 1, 136-163
2015-101Dark-bright soliton solutions with nontrivial polarization interactions for the three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions
J. Math. Phys. 56 (2015), no. 7, 071505, 33 pp
2015-102Microlocal analysis and imaging
The Mathematics of the Planet Earth: An international Year of Scientific and Outreach Activities, Ch.7.6, pg. 116-119, SIAM, Philadelphia, 2015
2014
2014-1Pair correlation of the zeros of the derivative of the Riemann \(\xi\)-function
J. Lond. Math. Soc. (2) 90 (2014), no. 1, 241-269
2014-2\(n\)-level density of the low-lying zeros of quadratic Dirichlet \(L\)-functions
Int. Math. Res. Not. IMRN 2014, no. 6, 1699–1728
2014-3Large scale geometry of negatively curved \(\Bbb{R}^n\rtimes\Bbb{R}\)
Geom. Topol. 18 (2014), no. 2, 831-872
2014-4Parametrization of ideal classes in rings associated to binary forms
J. Reine Angew. Math. 689 (2014), 169-199
2014-7Exotic smooth structures on topological fiber bundles II
Trans. Amer. Math. Soc. 366 (2014), no. 2, 791–832
2014-8Components of Gröbner strata in the Hilbert scheme of points
Proc. Lond. Math. Soc. (3) 108 (2014), no. 1, 187-224
2014-11Semi-positivity in positive characteristics
Ann. Sci. Éc. Norm. Supér. (4) 47 (2014), no. 5, 991-1025
2014-12Depth of F-singularities and base change of relative canonical sheaves
J. Inst. Math. Jussieu 13 (2014), no. 1, 43-63
2014-13Cartier's first theorem for Witt vectors on \(Z_{\ge 0}^n - 0\)
Algebraic topology: applications and new directions, 321-328, Contemp. Math., 620, Amer. Math. Soc., Providence, RI, 2014
2014-15Evaluating L-functions with few known coefficients
LMS J. Comput. Math. 17 (2014), no. 1, 245-258
2014-16Logarithmic bump conditions and the two-weight boundedness of Calderón-Zygmund operators
Adv. Math. 255 (2014), 706-729
2014-17A recursion formula for moments of derivatives of random matrix polynomials
Q. J. Math. 65 (2014), no. 4, 1111-1125
2014-19Failure of the Weierstrass preparation theorem in quasi-analytic Denjoy-Carleman rings
Adv. Math. 258 (2014), 397-413
2014-20Uniform rectifiability and harmonic measure III: Riesz transform bounds imply uniform rectifiability of boundaries of 1-sided NTA domains
Int. Math. Res. Not. IMRN 2014, no. 10, 2702-2729
2014-22Supercharacters, exponential sums, and the uncertainty principle
J. Number Theory 144 (2014), 151-175
2014-24On the algebraic K-theory of truncated polynomial algebras in several variables
J. K-Theory 13 (2014), no. 1, 57-81
2014-25On the structure of involutions and symmetric spaces of dihedral groups
Note Mat. 34 (2014), no. 2, 23-40.
2014-27Monomial ideals whose depth function has any given number of strict local maxima
Ark. Mat. 52 (2014), no. 1, 11-19
2014-28Counting polynomials over finite fields with given root multiplicities
J. Number Theory 136 (2014), 394-402
2014-30Relative equilibria in the four-vortex problem with two pairs of equal vorticities
J. Nonlinear Sci. 24 (2014), no. 1, 39-92
2014-32Equivariant cohomology, syzygies and orbit structure
Trans. Amer. Math. Soc. 366 (2014), no. 12, 6567-6589
2014-33On hyperbolicity of free splitting and free factor complexes
Groups Geom. Dyn. 8 (2014), no. 2, 391-414
2014-35Choosability with separation of complete multipartite graphs and hypergraphs
J. Graph Theory 76 (2014), no. 2, 129-137
2014-38On torsion anomalous intersections
Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 25 (2014), no. 1, 1-36
2014-40Upper bounds on the size of 4- and 6-cycle-free subgraphs of the hypercube
European J. Combin. 35 (2014), 75-85
2014-42Free energy fluctuations for directed polymers in random media in \(1+1\) dimension
Comm. Pure Appl. Math. 67 (2014), no. 7, 1129-1214
2014-43Normal crossing properties of complex hypersurfaces via logarithmic residues
Compos. Math. 150 (2014), no. 9, 1607-1622
2014-44The period-index problem for twisted topological \(K\)-theory
Geom. Topol. 18 (2014), no. 2, 1115-1148
2014-45Convergence of the spectral measure of non-normal matrices
Proc. Amer. Math. Soc. 142 (2014), no. 2, 667-679
2014-47Fluctuations of matrix entries of regular functions of sample covariance random matrices
Theory Probab. Appl. 58 (2014), no. 4, 615-639
2014-48Macdonald processes
XVIIth International Congress on Mathematical Physics, 292-316, World Sci. Publ., Hackensack, NJ, 2014.
2014-49The double ramification cycle and the theta divisor
Proc. Amer. Math. Soc. 142 (2014), no. 12, 4053-4064
2014-50The zero section of the universal semiabelian variety and the double ramification cycle
Duke Math. J. 163 (2014), no. 5, 953-982
2014-51The classification of subfactors of index at most 5
Bull. Amer. Math. Soc. (N.S.) 51 (2014), no. 2, 277-327
2014-52An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem
Bull. Lond. Math. Soc. 46 (2014), no. 3, 600-608
2014-53The little desert? Some subfactors with index in the interval \((5,3+\sqrt{5})\)
Internat. J. Math. 25 (2014), no. 8, 1450080, 51 pp
2014-54Infinitesimal invariants for cycles modulo algebraic equivalence and 1-cycles on Jacobians
Algebr. Geom. 1 (2014), no. 2, 140-165
2014-55On the log discrepancies in toric Mori contractions
Proc. Amer. Math. Soc. 142 (2014), no. 11, 3687-3694
2014-56Gaussian beam methods for the Helmholtz equation
SIAM J. Appl. Math. 74 (2014), no. 3, 771-793
2014-57Naive motivic Donaldson-Thomas type Hirzebruch classes and some problems
J. Singul. 10 (2014), 26-53
2014-58Bounding the dimensions of rational cohomology groups
Developments and retrospectives in Lie theory, 51-69, Dev. Math. 38, Springer, Cham, 2014
2014-59Extensions for finite Chevalley groups III: Rational and generic cohomology
Adv. Math. 262 (2014), 484-519
2014-60The maximum nullity of a complete subdivision graph is equal to its zero forcing number
Electron. J. Linear Algebra 27 (2014), 444-457
2014-62A generalized topological recursion for arbitrary ramification
Ann. Henri Poincaré 15 (2014), no. 1, 143-169
2014-64Quantum curves for Hitchin fibrations and the Eynard-Orantin theory
Lett. Math. Phys. 104 (2014), no. 6, 635-671
2014-65Invariants of spectral curves and intersection theory of moduli spaces of complex curves
Commun. Number Theory Phys. 8 (2014), no. 3, 541-588
2014-67Rate-independent computation in continuous chemical reaction networks
ITCS'14-Proceedings of the 2014 Conference on Innovations in Theoretical Computer Science, 313-325, ACM, New York, 2014.
2014-68On the spectrum of the Dirac operator and the existence of discrete eigenvalues for the defocusing nonlinear Schrödinger equation
Studies in Applied Mathematics, Volume132, Issue 2, February 2014, Pages 138-159
2014-69Singular Hopf bifurcation in a differential equation with large state-dependent delay
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 470 (2014), no. 2162, 20130596, 16 pp
2014-71On the associated primes and the depth of the second power of squarefree monomial ideals
J. Pure Appl. Algebra 218 (2014), no. 6, 1117-1129
2014-72Uniform hyperbolicity of the curve graph via surgery sequences
Algebr. Geom. Topol. 14 (2014), no. 6, 3325-3344
2014-75Well-posedness for the BBM-equation in a quarter plane
Discrete Contin. Dyn. Syst. Ser. S 7 (2014), no. 6, 1149-1163
2014-76The principal rank characteristic sequence over various fields
Linear Algebra Appl. 459 (2014), 222-236
2014-79Local cohomology modules of a smooth Z-algebra have finitely many associated primes
Invent. Math. 197 (2014), no. 3, 509-519
2014-80The Brenner-Hochster-Kollár and Whitney problems for vector-valued functions and jets
Rev. Mat. Iberoam. 30 (2014), no. 3, 875-892
2014-81Levels of distribution and the affine sieve
Ann. Fac. Sci. Toulouse Math. (6) 23 (2014), no. 5, 933-966
2014-82Computing homology invariants of Legendrian knots
J. Knot Theory Ramifications 23 (2014), no. 11, 1450056, 18 pp
2014-83On the spectral distribution of large weighted random regular graphs
Random Matrices Theory Appl. 3 (2014), no. 4, 1450015, 22 pp
2014-85Optimal transport and large number of particles
Discrete Contin. Dyn. Syst. 34 (2014), no. 4, 1397–1441
2014-87Stochastic analysis of biochemical reaction networks with absolute concentration robustness
J. R. Soc. Interface 11: 20130943, 2014 The Author(s) Published by the Royal Society
2014-88On some spectral properties of the Dirac operator related to the existence of discrete eigenvalues for the defocusing nonlinear Schroedinger equation
Stud. App. Math. 132, pp. 138-159 2014
2014-89Optimization of a managed aquifer recharge network
Proceedings of the 2014 South Carolina Water Resources Conference, held October 15-16, 2014 at the Columbia Metropolitan Convention Center.
2014-90A frame theoretic approach to the nonuniform fast Fourier transform
SIAM J. Numer. Anal. 52 (2014), no. 3, 1222-1242
2014-91Conditional persistence of Gaussian random walks
Electron Commun. Probab. 19 (2014), no. 70, 9 pp
2014-92Finding and choosing among multiple optima
Applied Mathematics, 2014, 5, 300-317, Online January 2014 (http://www.scirp.org/journal/am) http://dx.doi.org/10.4236/am.2014.52031
2014-93Generalised sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients
Published 2015 in Math. Comput. 84:237-270, 2015, DOI:10.1090/S0025-5718-2014-02860-3
2014-94Modeling and optimization for crop portfolio management under limited irrigation strategies
Journal of Agricultural and Environmental Management, March 2014, Vol. 3, No. 1, pp. 209-237, ISSN: 2334-2404 (Print), 2334-2412 (Online)
2014-95Algorithmic detectability of iwip automorphisms
Bull. Lond. Math. Soc. 46 (2014), no. 2, 279-290
2014-96Invariant laminations for irreducible automorphisms of free groups
Q. J. Math. 65 (2014), no. 4, 1241-1275
2014-97Unbounded asymmetry of stretch factors
C. R. Math. Acad. Sci. Paris 352 (2014), no. 11, 885-887
2014-98First cohomology groups for finite groups of Lie type in defining characteristic
Bull. Lond. Math. Soc. 46 (2014), no. 2, 227–238
2014-100Markovian acyclic directed mixed graphs for discrete data
Ann. Statist. 42 (2014), no. 4, 1452–1482
2014-101Intraocular pressure, blood pressure, and retinal blood flow autoregulation: A mathematical model to clarify their relationship and clinical relevance
Invest Ophthalmol Vis Sci. 2014 Jul; 55(7): 4105–4118
2014-102Classification of integral modular categories of Frobenius-Perron dimension \(pq^4\) and \(p^2q^2\)
Canad. Math. Bull. 57 (2014), no. 4, 721–734.
2014-103Math Modeling: Computing and Communicating
Math Modeling: Getting Started and Getting Solutions, K. M. Bliss, K. R. Fowler, and B. J. Galluzzo, SIAM, Philadelphia, 2014.
2014-104Min-type Morse theory for configuration spaces of hard spheres
Int. Math. Res. Not. IMRN 2014, no. 9, 2577-2592
2014-105Modeling Seasonal Malaria Transmission. A Methodology Connecting Regional Temperatures to Mosquito and Parasite Developmental Traits
Letters in Biomathematics, 10(1), 3-27. DOI: https://doi.org/10.30707/LiB10.1.1682014077.793816
2013
2013-1The distribution of solutions to \(xy=n\pmod a\) with an application to factoring integers
Integers 13 (2013), Paper No. A12, 20 pp
2013-2On limits of sequences of holomorphic functions
Rocky Mountain J. Math. 43 (2013), no. 1, 273-283
2013-6Graph homomorphisms with complex values: a dichotomy theorem
SIAM J. Comput. 42 (2013), no. 3, 924-1029
2013-7The second moment of \(GL(3)\times GL(2)L\)-functions at special points
Math. Ann. 356 (2013), no. 3, 1005-1028
2013-8Derived equivalences for cotangent bundles of Grassmannians via categorical \({sl}_2\) actions
J. Reine Angew. Math. 675 (2013), 53-99
2013-9Closure of the cone of sums of 2d-powers in commutative real topological algebras
J. Funct. Anal. 264 (2013), no. 1, 413-427
2013-11Universality of the asymptotics of the one-sided exit problem for integrated processes
Ann. Inst. Henri Poincare Probab. Stat. 49 (2013), no. 1, 236-251
2013-12Pushing fillings in right-angled Artin groups
J. Lond. Math. Soc. (2) 87 (2013), no. 3, 663-688
2013-14Galois representations with quaternion multiplication associated to noncongruence modular forms
Trans. Amer. Math. Soc. 365 (2013), no. 12, 6217-6242
2013-15Small deviations for a family of smooth Gaussian processes
J. Theoret. Probab. 26 (2013), no. 1, 153-168
2013-16Hodge theory and Lagrangian planes on generalized Kummer fourfolds
Mosc. Math. J. 13 (2013), no. 1, 33-56, 189
2013-19The Cuntz semigroup, a Riesz type interpolation property, comparison and the ideal property
Publ. Mat. 57 (2013), no. 2, 359-377
2013-20Outliers in the spectrum of iid matrices with bounded rank perturbations
Probab. Theory Related Fields 155 (2013), no. 1-2, 231-263
2013-21Erratum to: Outliers in the spectrum of iid matrices with bounded rank perturbations
Probab. Theory Related Fields 157 (2013), no. 1-2, 511-514.
2013-22Minimum Rank, maximum nullity, and zero forcing number of graphs
Handbook of Linear Algebra, Second Edition, Chapter 46, November 26, 2013 by Chapman and Hall/CRC
2013-23Approximation by polynomials and Blaschke products having all zeros on a circle
Illinois J. Math. 55 (2011), no. 3, 1105–1118 (2013)
2013-25Pairwise ranking: Choice of method can produce arbitrarily different rank order
Linear Algebra Appl. 438 (2013), no. 3, 1012-1024
2013-26Upgraded methods for the effective computation of marked schemes on a strongly stable ideal
J. Symbolic Comput. 50 (2013), 263-290
2013-27Wronskians, cyclic group actions, and ribbon tableaux
Trans. Amer. Math. Soc. 365 (2013), no. 4, 1977-2030
2013-28The moment problem for continuous positive semidefinite linear functionals
Arch. Math. (Basel) 100 (2013), no. 1, 43-53
2013-30Probability densities and distributions for spiked and general variance Wishart \(\beta\)-ensembles
Random Matrices Theory Appl. 2 (2013), no. 4, 1350011, 19 pp
2013-31Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms
Adv. Math. 246 (2013), 198-219
2013-32Fredholm and invertibility theory for a special class of Toeplitz + Hankel operators
J. Spectr. Theory 3 (2013), no. 2, 171-214
2013-34Mahonian partition identities via polyhedral geometry
From Fourier analysis and number theory to Radon transforms and geometry, 41-54, Dev. Math., 28, Springer, New York, 2013
2013-35The Hilbert schemes of locally Cohen-Macaulay curves in \(\Bbb{P}^3\) may after all be connected
Collect. Math. 64 (2013), no. 3, 363-372
2013-37Parameters related to tree-width, zero forcing, and maximum nullity of a graph
J. Graph Theory 72 (2013), no. 2, 146-177
2013-40Zero forcing, linear and quantum controllability for systems evolving on networks
IEEE Trans. Automat. Control 58 (2013), no. 9, 2349-2354
2013-41Conditionally bounding analytic ranks of elliptic curves
ANTS X-Proceedings of the Tenth Algorithmic Number Theory Symposium, 135-144, Open Book Ser., 1, Math. Sci. Publ., Berkeley, CA, 2013
2013-42The nontrivial zeros of period polynomials of modular forms lie on the unit circle
Int. Math. Res. Not. IMRN 2013, no. 20, 4758-4771
2013-44Software for exact integration of polynomials over polyhedra
Comput. Geom. 46 (2013), no. 3, 232-252
2013-45Lattice point generating functions and symmetric cones
J. Algebraic Combin. 38 (2013), no. 3, 543-566
2013-48Quasirandom permutations are characterized by 4-point densities
Geom. Funct. Anal. 23 (2013), no. 2, 570-579
2013-49Homological and homotopical Dehn functions are different
Proc. Natl. Acad. Sci. USA 110 (2013), no. 48, 19206-19212
2013-50The continuous spectrum in discrete series branching laws
Internat. J. Math. 24 (2013), no. 7, 1350049, 29 pp
2013-52Regularity of solutions to degenerate p-Laplacian equations
J. Math. Anal. Appl. 401 (2013), no. 1, 458-478
2013-54On the orthogonal symmetry of L-functions of a family of Hecke Grössencharacters
Acta Arith. 157 (2013), no. 4, 323-356
2013-56Hilbert-Kunz functions of 2-by-2 determinantal rings
Illinois J. Math. 57 (2013), no. 1, 251-277.
2013-57An optimal choice of Dirichlet polynomials for the Nyman-Beurling criterion
Proc. Steklov Inst. Math. 280 (2013), suppl. 2
2013-58Squarefree monomial ideals with constant depth function
J. Pure Appl. Algebra 217 (2013), no. 9, 1764-1772
2013-59Zero-free polynomial approximation on a chain of Jordan domains
Ann. Sci. Math. Québec 36 (2012), no. 1, 107-112 (2013)
2013-60A combinatorial DGA for Legendrian knots from generating families
Commun. Contemp. Math. 15 (2013), no. 2, 1250059, 60 pp
2013-61Obstructions to Lagrangian cobordisms between Legendrians via generating families
Algebr. Geom. Topol. 13 (2013), no. 5, 2733-2797
2013-65On the \({\rm GL}(3)\) Kuznetsov formula with applications to symmetry types of families of \(L\)-functions
Automorphic representations and \(L\)-functions, 263-310, Tata Inst. Fundam. Res. Stud. Math., 22, Tata Inst. Fund. Res., Mumbai, 2013
2013-66Intermediate sums on polyhedra: computation and real Ehrhart theory
Mathematika 59 (2013), no. 1, 1-22
2013-67Local cohomology of logarithmic forms
Ann. Inst. Fourier (Grenoble) 63 (2013), no. 3, 1177-1203
2013-68Pointwise convergence of vector-valued Fourier series
Math. Ann. 357 (2013), no. 4, 1329-1361
2013-69Division algebras and quadratic forms over fraction fields of two-dimensional henselian domains
Algebra Number Theory 7 (2013), no. 8, 1919-1952
2013-70On finite rank deformations of Wigner matrices
Ann. Inst. Henri Poincaré Probab. Stat. 49 (2013), no. 1, 64-94
2013-71The eventual shape of Betti tables of powers of ideals
Math. Res. Lett. 20 (2013), no. 6, 1033–1046
2013-72The remodeling conjecture and the Faber-Pandharipande formula
Lett. Math. Phys. 103 (2013), no. 1, 59-77
2013-73A non-probabilistic proof of the Assouad embedding theorem with bounds on the dimension
Anal. Geom. Metr. Spaces 1 (2013), 36-41
2013-75Positivity of Toeplitz determinants formed by rising factorial series and properties of related polynomials
Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 404 (2012), Analiticheskaya Teoriya Chisel i Teoriya Funktsii. 27, 184-198, 262-263; translation in J. Math. Sci. (N. Y.) 193 (2013), no. 1, 106-114
2013-76The generalized Laguerre inequalities and functions in the Laguerre-Pólya class
Cent. Eur. J. Math. 11 (2013), no. 9, 1643-1650
2013-77The isomorphism relation for separable \(C^*\)-algebras
Math. Res. Lett. 20 (2013), no. 6, 1071-1080
2013-78Tail decay for the distribution of the endpoint of a directed polymer
Nonlinearity 26 (2013), no. 5, 1449-1472
2013-79Singularities with the highest Mather minimal log discrepancy
Math. Z. 275 (2013), no. 3-4, 1255-1274
2013-80Survey article: Characterizations of the Saito-Kurokawa lifting
Rocky Mountain J. Math. 43 (2013), no. 6, 1747-1757
2013-81Ideal-adic semi-continuity of minimal log discrepancies on surfaces
Michigan Math. J. 62 (2013), no. 2, 443-447
2013-83Holomorphic cubic differentials and minimal Lagrangian surfaces in CH2
Math. Res. Lett. 20 (2013), no. 3, 501-520
2013-84Variable selection and sensitivity analysis using dynamic trees, with an application to computer code performance tuning
Ann. Appl. Stat. 7 (2013), no. 1, 51-80
2013-85Polarization optimality of equally spaced points on the circle for discrete potentials
Discrete Comput. Geom. 50 (2013), no. 1, 236-243
2013-87Microlocal analysis of an ultrasound transform with circular source and receiver trajectories
Geometric analysis and integral geometry, 45-58. Contemp. Math., 598, Amer. Math. Soc., Providence, RI, 2013
2013-88A class of singular Fourier integral operators in synthetic aperture radar imaging
J. Funct. Anal. 264 (2013), no. 1, 246-269
2013-89Note on Nordhaus-Gaddum problems for Colin de Verdière type parameters
Electron J. Combin. 20 (2013), no. 3, Paper 56, 9 pp
2013-90Minimum rank, maximum nullity, and zero forcing number of simple digraphs
Electron. J. Linear Algebra 26 (2013), 762-780
2013-91The spectral curve of the Eynard-Orantin recursion via the Laplace transform
Algebraic and geometric aspects of integrable systems and random matrices, 263-315, Contemp. Math., 593, Amer. Math. Soc., Providence, RI, 2013
2013-92The spectral curve and the Schrödinger equation of double Hurwitz numbers and higher spin structures
Commun. Number Theory Phys. 7 (2013), no. 1, 125-143
2013-93The Laplace transform, mirror symmetry, and the topological recursion of Eynard-Orantin
Geometric methods in physics, 127-142, Trends Math., Birkhäuser/Springer, Basel, 2013
2013-94Powers of square-free monomial ideals and combinatorics
Commutative algebra, 373-392, Springer, New York, 2013
2013-95Weyl character formula in KK-theory
Noncommutative geometry and physics. 3, 299-334, Keio COE Lect. Ser. Math. Sci., 1, World Sci. Publ., Hackensack, NJ, 2013
2013-96The KdV equation on the half-line: the Dirichlet to Neumann map
J. Phys. A 46 (2013), no. 34, 345203, 20 pp
2013-973-by-3 matrices with elliptical numerical range revisited
Electron. J. Linear Algebra 26 (2013), 158-167
2013-98Wick-Malliavin approximation to nonlinear stochastic partial differential equations: analysis and simulations
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 469 (2013), no. 2158, 20130001, 20 pp
2013-100Optimal control for a mixed flow of Hamiltonian and gradient type in space of probability measures
With an appendix by Atanas Stefanov, Trans. Amer. Math. Soc. 365 (2013), no. 8, 3987–4039
2013-101Sub-linear root detection, and new hardness results, for sparse polynomials over finite fields
ISSAC 2013-Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation, 61-6
2013-102Colored HOMFLY polynomials from Chern-Simons theory
J. Knot Theory Ramifications 22 (2013), no. 13, 1350078, 58 pp
2013-103Unlikely Intersections in Poincaré Biextensions over Elliptic Schemes
Notre Dame J. Formal Logic, Volume 54, Number 3-4 (2013), 365-375
2012
2012-2The sixth power moment of Dirichlet L-functions
Geom. Funct. Anal. 22 (2012), no. 5, 1257-1288
2012-3Towards a modulo \(p\) Langlands correspondence for \({\rm GL}_2\)
Mem. Amer. Math. Soc. 216 (2012), no. 1016, vi+114 pp.
2012-7Sign patterns that allow strong eventual nonnegativity
Electron. J. Linear Algebra 23 (2012), 1-10
2012-12Landau-Siegel zeros and zeros of the derivative of the Riemann zeta function
Adv. Math. 230 (2012), no. 4-6, 2048-2064
2012-13Bounds for entropy numbers for some critical operators
Trans. Amer. Math. Soc. 364 (2012), no. 4, 1797-1813
2012-14Vertex and edge spread of zero forcing number, maximum nullity, and minimum rank of a graph
Linear Algebra Appl. 436 (2012), no. 12, 4352-4372
2012-15Complexes, duality and Chern classes of logarithmic forms along hyperplane arrangements
Arrangements of hyperplanes, Sapporo 2009, 27-57, Adv. Stud. Pure Math., 62, Math. Soc. Japan, Tokyo, 2012
2012-17Spanning and independence properties of frame partitions
Proc. Amer. Math. Soc. 140 (2012), no. 7, 2193-2207
2012-19Quartic rings associated to binary quartic forms
Int. Math. Res. Not. IMRN 2012, no. 6, 1300-1320
2012-21On the canonical decomposition of generalized modular functions
Proc. Amer. Math. Soc. 140 (2012), no. 4, 1125-1132
2012-22Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Adv. Math. 229 (2012), no. 4, 2310-2337
2012-23On \(\ell\)-adic representations for a space of noncongruence cuspforms
Proc. Amer. Math. Soc. 140 (2012), no. 5, 1569-1584
2012-24Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra
Found. Comput. Math. 12 (2012), no. 4, 435-469
2012-25Characterizing projective spaces on deformations of Hilbert schemes of K3 surfaces
Comm. Pure Appl. Math. 65 (2012), no. 2, 264-286
2012-26Cohomologie non Ramifiée et conjecture de Hodge entière
Duke Math. J. 161 (2012), no. 5, 735-801
2012-27R-equivalence on low degree complete intersections
J. Algebraic Geom. 21 (2012), no. 4, 707-719
2012-28On the graph complement conjecture for minimum rank
Linear Algebra Appl. 436 (2012), no. 12, 4373-4391
2012-30An algebraic approach to the radius of comparison
Trans. Amer. Math. Soc. 364 (2012), no. 7, 3657-3674
2012-31Freeness and multirestriction of hyperplane arrangements
Compos. Math. 148 (2012), no. 3, 799-806
2012-32Restrictions of representations of classical groups: examples
Sur les conjectures de Gross et Prasad. I. Astérisque No. 346 (2012), 111-170.
2012-33Symplectic local root numbers, central critical L values, and restriction problems in the representation theory of classical groups
Sur les conjectures de Gross et Prasad. I. Astérisque No. 346 (2012), 1-109.
2012-34Cabling, contact structures and mapping class monoids
J. Differential Geom. 90 (2012), no. 1, 1-80
2012-35PDEs satisfied by extreme eigenvalues distributions of GUE and LUE
Random Matrices Theory Appl. 1 (2012), no. 1, 1150003, 21 pp.
2012-38Mock modular forms as p-adic modular forms
Trans. Amer. Math. Soc. 364 (2012), no. 5, 2393-2410
2012-39\(\ell\)-adic properties of the partition function
Appendix A by Nick Ramsey. Adv. Math. 229 (2012), no. 3, 1586-1609
2012-40An explicit non-smoothable component of the compactified Jacobian
J. Algebra 370 (2012), 326-343
2012-41Expansions of k-Schur functions in the affine nilCoxeter algebra
Electron. J. Combin. 19 (2012), no. 2, Paper 55, 20 pp
2012-42Pfister's theorem fails in the Hermitian case
Proc. Amer. Math. Soc. 140 (2012), no. 4, 1151-1157
2012-43Note on positive semidefinite maximum nullity and positive semidefinite zero forcing number of partial 2-trees
Electron. J. Linear Algebra 23 (2012), 79-87
2012-44Propagation time for zero forcing on a graph
Discrete Appl. Math. 160 (2012), no. 13-14, 1994-2005.
2012-45Discriminants, symmetrized graph monomials, and sums of squares
Exp. Math. 21 (2012), no. 4, 353-361
2012-46The distribution of the number of points on trigonal curves over \(\Bbb F_q\)
Int. Math. Res. Not. IMRN 2012, no. 23, 5444-5456
2012-47A problem of Klee on inner section functions of convex bodies
J. Differential Geom. 91 (2012), no. 2, 261-279
2012-49Half-trek criterion for generic identifiability of linear structural equation models
Ann. Statist. 40 (2012), no. 3, 1682-171
2012-51The Hilbert series of N=1SO(Nc) and Sp(Nc) SQCD, Painlevé VI and integrable systems
Nuclear Phys. B 860 (2012), no. 3, 421-463
2012-52Fluctuations of matrix entries of regular functions of Wigner matrices
J. Stat. Phys. 146 (2012), no. 3, 550-591
2012-53A two weight inequality for the Hilbert transform assuming an energy hypothesis
J. Funct. Anal. 263 (2012), no. 2, 305-363
2012-55Asymptotic improvements to the lower bound of certain bipartite Turán numbers
Combin. Probab. Comput. 21 (2012), no. 3, 323-329
2012-56Integer-valued definable functions
Manchester Institute for Mathematical Sciences (MIMS)MIMS EPrint: 2012.1
2012-57On the stable set of associated prime ideals of a monomial ideal
Arch. Math. (Basel) 98 (2012), no. 3, 213-217
2012-58Filling loops at infinity in the mapping class group
Michigan Math. J. 61 (2012), no. 4, 867-874
2012-59Zero forcing number, maximum nullity, and path cover number of subdivided graphs
Electron. J. Linear Algebra 23 (2012), 906-922
2012-64Sharp distortion growth for bilipschitz extension of planar maps
Conform. Geom. Dyn. 16 (2012), 124-131
2012-65Exact solution of the six-vertex model with domain wall boundary conditions: critical line between disordered and antiferroelectric phases
Random Matrices Theory Appl. 1 (2012), no. 4, 1250012, 43 pp
2012-66The Dehn functions of \(Out(F_n)\) and \(Aut(F_n)\)
Ann. Inst. Fourier (Grenoble) 62 (2012), no. 5, 1811-1817
2012-67Fermionic gluing principle of the topological vertex
J. High Energy Phys. 2012, no. 6, 166, front matter+26 pp
2012-68Topological recursion for the Poincaré polynomial of the combinatorial moduli space of curves
Adv. Math. 230 (2012), no. 3, 1322-1339
2012-69Symplectic Cohomology and Duality for the Wrapped Fukaya Category
Thesis (Ph.D.) Massachusetts Institute of Technology. 2012.
2012-70Meeting a sustainable water yield for agricultural practices through crop rotation and catchment basin design
Proceedings of the S.C. Water Resources Conference, Columbia, SC, October 2012
2012-71Approximating the inverse of banded matrices by banded matrices with applications to probability and statistics
Teor. Veroyatn. Primen. 56 (2011), no. 1, 100-122; translation in Theory Probab. Appl. 56 (2012), no. 1, 1-20
2012-72Simultaneous optimization and uncertainty quantification
Journal of Computational Methods in Sciences and Engineering, vol. 12, no. 1,2, pp. 99-110, 2012, DOI: 10.3233/JCM-2012-0406
2011
2011-1Erratum for Boundedness of families of canonically polarized manifolds: a higher dimensional analogue of Shafarevich's conjecture
Ann. of Math. (2) 173 (2011), no. 1, 585-617
2011-4On Riesz means of eigenvalues
Comm. Partial Differential Equations 36 (2011), no. 9, 1521-1543
2011-5Boundary decomposition of the Bergman kernel
Rocky Mountain J. Math. 41 (2011), no. 4, 1265-1272
2011-6The reciprocity law for the twisted second moment of Dirichlet \(L\)-functions
Forum Math. 23 (2011), no. 6, 1323-1337
2011-7The proof is in the pudding
The changing nature of mathematical proof. Springer, New York, 2011. xviii+264 pp.
2011-8Morse theory of the moment map for representations of quivers
Geom. Dedicata 150 (2011), 307-353
2011-9Anomalies of E8 gauge theory on string manifolds
Internat. J. Modern Phys. A 26 (2011), no. 13, 2177-2197
2011-10Problems on automorphism groups of nonpositively curved polyhedral complexes and their lattices
Geometry, rigidity, and group actions, 515-560, Chicago Lectures in Math., Univ. Chicago Press, Chicago, IL, 2011
2011-11The Beilinson-Drinfeld Grassmannian and symplectic knot homology
Grassmannians, moduli spaces and vector bundles, 81-94, Clay Math. Proc., 14, Amer. Math. Soc., Providence, RI, 2011
2011-13Arithmetic harmonic analysis on character and quiver varieties
Duke Math. J. 160 (2011), no. 2, 323-400
2011-14The second moment of \({\rm GL}(3)\times{\rm GL}(2)\) \(L\)-functions integrated
Adv. Math. 226 (2011), no. 4, 3550-3578
2011-15A note on minimum rank and maximum nullity of sign patterns
Electron. J. Linear Algebra 22 (2011), 203-213
2011-16On the number of rational iterated preimages of the origin under quadratic dynamical systems
Int. J. Number Theory 7 (2011), no. 7, 1781-1806
2011-17Coverings and minimal triangulations of 3-manifolds
Algebr. Geom. Topol. 11 (2011), no. 3, 1257-1265
2011-18The triangle and the open triangle
Ann. Inst. Henri Poincaré Probab. Stat. 47 (2011), no. 1, 75-79
2011-19Is the critical percolation probability local?
Probab. Theory Related Fields 149 (2011), no. 1-2, 261-269
2011-20An overview of mathematical issues arising in the geometric complexity theory approach to VP-VNP
SIAM J. Comput. 40 (2011), no. 4, 1179-1209
2011-22Dichotomy for generic supercuspidal representations of G2
Compos. Math. 147 (2011), no. 3, 735-783
2011-25Steinberg representation of GSp(4): Bessel models and integral representation of L-functions
Pacific J. Math. 250 (2011), no. 2, 365-406
2011-26Rank one reducibility for metaplectic groups via theta correspondence
Canad. J. Math. 63 (2011), no. 3, 591-615
2011-27Connections between Floer-type invariants and Morse-type invariants of Legendrian knots
Pacific J. Math. 249 (2011), no. 1, 77-133
2011-29Thurston norm and cosmetic surgeries
Low-dimensional and symplectic topology. 53-63 Proc. Sympos. Pure Math., 82, Amer. Math. Soc., Providence, RI, 2011
2011-31More than 41\% of the zeros of the zeta function are on the critical line
Acta Arith. 150 (2011), no. 1, 35-64
2011-32Path regularity of Gaussian processes via small deviations
Probab. Math. Statist. 31 (2011), no. 1, 61-78
2011-35On the geometry of the supermultiplet in M-theory
Int. J. Geom. Methods Mod. Phys. 8 (2011), no. 7, 1519-1551
2011-36The Laplace transform of the cut-and-join equation and the Bouchard-Mario conjecture on Hurwitz numbers
Publ. Res. Inst. Math. Sci. 47 (2011), no. 2, 629-670
2011-37Parametrizing quartic algebras over an arbitrary base
Algebra Number Theory 5 (2011), no. 8, 1069-1094
2011-38Rings and ideals parameterized by binary n-ic forms
J. Lond. Math. Soc. (2) 83 (2011), no. 1, 208-231
2011-41Recent progress on the quantum unique ergodicity conjecture
Bull. Amer. Math. Soc. (N.S.) 48 (2011), no. 2, 211-228
2011-44Constructions of potentially eventually positive sign patterns with reducible positive part
Involve 4 (2011), no. 4, 405-410
2011-46Classical Kloosterman sums: representation theory, magic squares, and Ramanujan multigraphs
J. Number Theory 131 (2011), no. 4, 661-680
2011-47Beyond endoscopy for the Rankin-Selberg \(L\)-function
J. Number Theory 131 (2011), no. 9, 1691-1722
2011-48The Feichtinger conjecture and reproducing kernel Hilbert spaces
Indiana Univ. Math. J. 60 (2011), no. 4, 1303-1317
2011-49Borcea's variance conjectures on the critical points of polynomials
Notions of positivity and the geometry of polynomials, 283-309, Trends Math., Birkhüser/Springer Basel AG, Basel, 2011
2011-50Stability inequalities and universal Schubert calculus of rank 2
Transform. Groups 16 (2011), no. 4, 955-1007
2011-51The Murnaghan-Nakayama rule for k-Schur functions
J. Combin. Theory Ser. A 118 (2011), no. 5, 1588-1607
2011-53The Bourgain-Tzafriri conjecture and concrete constructions of non-pavable projections
Oper. Matrices 5 (2011), no. 2, 351–363
2011-54Tensor Decomposition Reveals Concurrent Evolutionary Convergences and Divergences and Correlations with Structural Motifs in Ribosomal RNA
PLoS ONE 6(4): e18768. (2011) doi:10.1371/journal.pone.0018768
2011-55A continuum neuronal model for the instigation and propagation of cortical spreading depression
Bull. Math. Biol. 73 (2011), no. 11, 2773-2790
2011-56CM values of automorphic Green functions on orthogonal groups over totally real fields
Arithmetic geometry and automorphic forms, 1-54 Adv. Lect. Math. (ALM), 19, Int. Press, Somerville, MA, 2011.
2011-57Differentiability of solutions with respect to the initial data in differential equations with state-dependent delays
J. Dynam. Differential Equations 23 (2011), no. 4, 843-884
2011-58Finiteness of spatial central configurations in the five-body problem
Celestial Mech. Dynam. Astronom. 109 (2011), no. 4, 321-332
2011-61Statistical ranking and combinatorial Hodge theory
Math. Program. 127 (2011), no. 1, Ser. B, 203-244.
2011-64A Higher-Order Generalized Singular Value Decomposition for Comparison of Global mRNA Expression from Multiple Organisms
PLoS ONE 6(12): e28072. (2011) doi:10.1371/journal.pone.0028072
2011-65Twisted topological structures related to M-branes
Int. J. Geom. Methods Mod. Phys. 8 (2011), no. 5, 1097-1116
2011-68Applications of the asymptotic large sieve
Actes de la Conférence "Théorie des Nombres et Applications'', 37-46, Publ. Math. Besanon Algébre Théorie Nr., 2011, Presses Univ. Franche-Comté, Besanon, 2011
2011-69Products of independent non-Hermitian random matrices
Electron. J. Probab. 16 (2011), no. 81, 2219-2245
2011-70The Wigner-Dyson-Mehta bulk universality conjecture for Wigner matrices
Electron. J. Probab. 16 (2011), no. 77, 2104-2121
2011-71Testing the functional equation of a high-degree Euler product
Pacific J. Math. 253 (2011), no. 2, 349-366
2011-74The Kontsevich constants for the volume of the moduli of curves and topological recursion
Commun. Number Theory Phys. 5 (2011), no. 3, 643–698
2010
2010-1Integrals of equivariant forms over non-compact symplectic manifolds
J. Symplectic Geom. 8 (2010), no. 3, 299-321
2010-2Distributed transmit beamforming using feedback control
IEEE Trans. Inform. Theory 56 (2010), no. 1, 411-426
2010-4Compactifications of smooth families and of moduli spaces of polarized manifolds
Ann. of Math. (2) 172 (2010), no. 2, 809-910
2010-5Differential operators and BV structures in noncommutative geometry
Selecta Math. (N.S.) 16 (2010), no. 4, 673-730
2010-8Relatively hyperbolic groups, rapid decay algebras and a generalization of the Bass conjecture
J. Noncommut. Geom. 4 (2010), no. 1, 83-124
2010-9The twisted fourth moment of the Riemann zeta function
J. Reine Angew. Math. 641 (2010), 203-236
2010-10Moments of the critical values of families of elliptic curves, with applications
Canad. J. Math. 62 (2010), no. 5, 1155-1181
2010-11An episodic history of mathematics
Mathematical culture through problem solving. MAA Textbooks. Mathematical Association of America, Washington, DC, 2010. xiv+381 pp.
2010-12The structure of surfaces and threefolds mapping to the moduli stack of canonically polarized varieties
Duke Math. J. 155 (2010), no. 1, 1-33
2010-14Affine Deligne-Lusztig varieties in affine flag varieties
Compos. Math. 146 (2010), no. 5, 1339-1382
2010-15Rational symplectic field theory for Legendrian knots
Invent. Math. 182 (2010), no. 3, 451-512
2010-16Flops on holomorphic symplectic fourfolds and determinantal cubic hypersurfaces
J. Inst. Math. Jussieu 9 (2010), no. 1, 125-153
2010-17Weak subconvexity for central values of \(L\)-functions
Ann. of Math. (2) 172 (2010), no. 2, 1469-1498
2010-18Nonhomeomorphic conjugates of connected Shimura varieties
Amer. J. Math. 132 (2010), no. 3, 731-750
2010-19Integral transforms and Drinfeld centers in derived algebraic geometry
J. Amer. Math. Soc. 23 (2010), no. 4, 909-966
2010-20String orientations on simplicial homology manifolds
Adv. Theor. Math. Phys. 14 (2010), no. 3, 991-1000
2010-21Additive invariants on quantum channels and regularized minimum entropy
Topics in operator theory. Volume 2. Systems and mathematical physics, 237-245, Oper. Theory Adv. Appl., 203, Birkhäuser Verlag, Basel, 2010
2010-23Multivariate Pólya-Schur classification problems in the Weyl algebra
Proc. Lond. Math. Soc. (3) 101 (2010), no. 1, 73-104
2010-27Techniques for determining the minimum rank of a small graph
Linear Algebra Appl. 432 (2010), no. 11, 2995-3001
2010-28Zero forcing parameters and minimum rank problems
Linear Algebra Appl. 433 (2010), no. 2, 401-411
2010-29Expected values of parameters associated with the minimum rank of a graph
Linear Algebra Appl. 433 (2010), no. 1, 101-117
2010-31The solvability problem for quadratic equations over free groups is NP-complete
Theory Comput. Syst. 47 (2010), no. 1, 250-258
2010-32Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability
Probab. Theory Related Fields 146 (2010), no. 1-2, 223-265
2010-35Minimum rank of skew-symmetric matrices described by a graph
IMA-ISU research group members: Mary Allison, Elizabeth Bodine, Luz Maria DeAlba, Joyati Debnath, Laura DeLoss, Colin Garnett, Jason Grout, Leslie Hogben, Bokhee Im, Hana Kim, Reshmi Nair, Olga Pryporova, Kendrick Savage, Bryan Shader and Amy Wangsness Wehe. Linear Algebra Appl. 432 (2010), no. 10, 2457-2472
2010-36Rate of convergence for the Legendre pseudospectral optimal control of feedback linearizable systems
J. Control Theory Appl. 8 (2010), no. 4, 391-405
2010-37A bijection between dominant Shi regions and core partitions
European J. Combin. 31 (2010), no. 8, 2087-2101
2010-38Topological quantum field theories from compact Lie groups
A celebration of the mathematical legacy of Raoul Bott, 367-403 CRM Proc. Lecture Notes, 50, Amer. Math. Soc., Providence, RI, 2010
2010-39Large deviations of empirical measures of zeros of random polynomials
Int. Math. Res. Not. IMRN 2010, no. 20, 3935-3992
2010-40Isometric immersions and compensated compactness
Comm. Math. Phys. 294 (2010), no. 2, 411-437
2010-41Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding
Proc. Amer. Math. Soc. 138 (2010), no. 5, 1843-1852
2010-42On the ranks and border ranks of symmetric tensors
Found. Comput. Math. 10 (2010), no. 3, 339-366
2010-44Positivity and optimization for semi-algebraic functions
SIAM J. Optim. 20 (2010), no. 6, 3364-3383
2010-45Boundedness of families of canonically polarized manifolds: a higher dimensional analogue of Shafarevich's conjecture
Ann. of Math. (2) 172 (2010), no. 3, 1719-1748
2010-46Obstructions to the existence and squeezing of Lagrangian cobordisms
J. Topol. Anal. 2 (2010), no. 2, 203-232
2010-47A bijection between (bounded) dominant Shi regions and core partitions
22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010), 283-294, Discrete Math. Theor. Comput. Sci. Proc., AN, Assoc. Discrete Math. Theor. Comput. Sci., Nancy, 2010
2010-48The subconvexity problem for \({\rm GL}_2\)
Publ. Math. Inst. Hautes Études Sci. No. 111 (2010), 171-271
2010-49Planar open books, monodromy factorizations and symplectic fillings
Geom. Topol. 14 (2010), no. 4, 2077-2101
2010-50Irreducibility of the unitary principal series of \(p\)-adic \(\widetilde{{\rm Sp}(n)}\)
Manuscripta Math. 132 (2010), no. 3-4, 539-547
2010-52Roots of the derivative of the Riemann-zeta function and of characteristic polynomials
Nonlinearity 23 (2010), no. 10, 2599-2621
2010-53A three-dimensional signed small ball inequality
Dependence in probability, analysis and number theory, 73-87, Kendrick Press, Heber City, UT, 2010
2010-54Eventual regularization of the slightly supercritical fractional Burgers equation
Discrete Contin. Dyn. Syst. 27 (2010), no. 2, 847-861
2010-55A simple combinatorial criterion for projective toric manifolds with dual defect
Math. Res. Lett. 17 (2010), no. 3, 435-448
2010-56Oscillatory damping in long-time evolution of the surface quasi-geostrophic equations with generalized viscosity: a numerical study
Nonlinearity 23 (2010), no. 12, 3029-3051
2010-57Dynamics of the Jacobian matrices arising in three-dimensional Euler equations: application of Riccati theory
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. 466 (2010), no. 2117, 1429-1439
2010-58Geometric and topological structures related to M-branes
Superstrings, geometry, topology, and \(C^\ast\)-algebras, 181-236 Proc. Sympos. Pure Math., 81, Amer. Math. Soc., Providence, RI, 2010
2010-59Scalar curvature and Q-curvature of random metrics
Electron. Res. Announc. Math. Sci. 17 (2010), 43-56
2010-60A linear algebraic view of partition regular matrices
Linear Algebra Appl. 433 (2010), no. 11-12, 1809-1820
2010-61Minimum rank, maximum nullity and zero forcing number for selected graph families
Involve 3 (2010), no. 4, 371-392
2010-63Quiet sigma delta quantization, and global convergence for a class of asymmetric piecewise-affine maps
Nonlinearity 23 (2010), no. 9, 2165-2182
2010-64Algorithms for Bernstein-Sato polynomials and multiplier ideals
ISSAC 2010-Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation, 99-106, ACM, New York, 2010
2009
2009-3Small gaps between primes or almost primes
Trans. Amer. Math. Soc. 361 (2009), no. 10, 5285-5330
2009-5A definition of the crystal commutor using Kashiwara's involution
J. Algebraic Combin. 29 (2009), no. 2, 261-268
2009-9The Caccetta-Häggkvist conjecture and additive number theory
Analytic number theory, 347-358, Cambridge Univ. Press, Cambridge, 2009
2009-10Higher topos theory
Annals of Mathematics Studies, 170. Princeton University Press, Princeton, NJ, 2009. xviii+925 pp. ISBN: 978-0-691-14049-0; 0-691-14049-9
2009-13Polynomial optimization on odd-dimensional spheres
Emerging applications of algebraic geometry, 1-15, IMA Vol. Math. Appl., 149, Springer, New York, 2009
2009-14The survival of a mathematician
From tenure-track to emeritus. American Mathematical Society, Providence, RI, 2009. xvi+310 pp.
2009-16Explorations in harmonic analysis. With applications to complex function theory and the Heisenberg group. With the assistance of Lina Lee
Applied and Numerical Harmonic Analysis. Birkhäuser Boston, Inc., Boston, MA, 2009. xiv+360 pp.
2009-17Congruence for rational points over finite fields and coniveau over local fields
Trans. Amer. Math. Soc. 361 (2009), no. 5, 2679-2688
2009-18The crystal commutor and Drinfeld's unitarized \(R\)-matrix
J. Algebraic Combin. 29 (2009), no. 3, 315-335
2009-19Regularization by free additive convolution, square and rectangular cases
Complex Anal. Oper. Theory 3 (2009), no. 3, 611-660
2009-22Reductions and deviations for stochastic partial differential equations under fast dynamical boundary conditions
Stoch. Anal. Appl. 27 (2009), no. 3, 431-459
2009-24The inverse inertia problem for graphs: cut vertices, trees, and a counterexample
Linear Algebra Appl. 431 (2009), no. 8, 1147-1191
2009-25Quasi-socle ideals in local rings with Gorenstein tangent cones
J. Commut. Algebra 1 (2009), no. 4, 603-620
2009-28An ontology of directional regularity implying joint regularity
Real Anal. Exchange 34 (2009), no. 2, 255-266
2009-29On the minimum rank of not necessarily symmetric matrices: a preliminary study
Electron. J. Linear Algebra 18 (2009), 126-145
2009-30Universally optimal matrices and field independence of the minimum rank of a graph
Electron. J. Linear Algebra 18 (2009), 403-419
2009-31Determinant computations for some classes of Toeplitz-Hankel matrices
Oper. Matrices 3 (2009), no. 2, 167-186
2009-32Painlevé V and the distribution function of a discontinuous linear statistic in the Laguerre unitary ensembles
J. Phys. A 42 (2009), no. 3, 035203, 18 pp
2009-33Moving and ample cones of holomorphic symplectic fourfolds
Geom. Funct. Anal. 19 (2009), no. 4, 1065-1080
2009-37The String bordism of \(BE_8\) and \(BE_8 \times BE_8\) through dimension 14
Illinois J. Math. 53 (2009), no. 1, 183-196
2009-39Pólya-Schur master theorems for circular domains and their boundaries
Ann. of Math. (2) 170 (2009), no. 1, 465-492
2009-40Negative dependence and the geometry of polynomials
J. Amer. Math. Soc. 22 (2009), no. 2, 521-567
2009-41Electromagnetic integral equations requiring small numbers of Krylov-subspace iterations
J. Comput. Phys. 228 (2009), no. 17, 6169-6183
2009-42A high-order integral algorithm for highly singular PDE solutions in Lipschitz domains
Computing 84 (2009), no. 3-4, 149-181
2009-43Finding and investigating exact spherical codes
Experiment. Math. 18 (2009), no. 2, 249-256. 94B60
2009-44The role of string topology in symplectic field theory
New perspectives and challenges in symplectic field theory 113-146 CRM Proc. Lecture Notes, 49, Amer. Math. Soc., Providence, RI, 2009
2009-45Cohomogeneity one disk bundles with normal homogeneous collars
Proc. Lond. Math. Soc. (3) 99 (2009), no. 3, 609-632
2009-47A duality exact sequence for Legendrian contact homology
Duke Math. J. 150 (2009), no. 1, 1-75
2009-48Palindromic random trigonometric polynomials
Proc. Amer. Math. Soc. 137 (2009), no. 5, 1835-1839
2009-49A rank inequality for the Tate conjecture over global function fields
Expo. Math. 27 (2009), no. 2, 93-108
2009-50On the distribution of imaginary parts of zeros of the Riemann zeta function. II
Math. Ann. 343 (2009), no. 3, 487-505
2009-51Finitude homotopique et isotopique des structures de contact tendues
Publ. Math. Inst. Hautes Études Sci. No. 109 (2009), 245-293
2009-52Sign patterns that require eventual positivity or require eventual nonnegativity
Electron. J. Linear Algebra 19 (2009), 98-107
2009-54Critical percolation of virtually free groups and other tree-like graphs
Ann. Probab. 37 (2009), no. 6, 2262-2296
2009-55On the stability of Taylor sections of a function \(\sum_{k=0}^\infty z^k/a^{k^2}\), \(a>1\)
Comput. Methods Funct. Theory 9 (2009), no. 1, 305-322
2009-56Projective background of the infinitesimal rigidity of frameworks
Geom. Dedicata 140 (2009), 183-203
2009-57Generating potentially nilpotent full sign patterns
Electron. J. Linear Algebra 18 (2009), 162-175
2009-58On the classification of topological field theories
Current developments in mathematics, 2008, 129-280, Int. Press, Somerville, MA, 2009
2009-59Rigidity of the Mori cone for Fano manifolds
Bull. Lond. Math. Soc. 41 (2009), no. 5, 779-781
2009-60Allow problems concerning spectral properties of sign pattern matrices: a survey
Linear Algebra Appl. 430 (2009), no. 11-12, 3080-3094
2009-62Uniform bounds on pre-images under quadratic dynamical systems
Math. Res. Lett. 16 (2009), no. 1, 87-101
2009-63Minimal triangulations for an infinite family of lens spaces
J. Topol. 2 (2009), no. 1, 157-180
2009-64A non-solvable Galois extension of \(\Bbb Q\) at 2 only
C. R. Math. Acad. Sci. Paris 347 (2009), no. 3-4, 111-116
2009-65Posets of annular non-crossing partitions of types B and D
Discrete Math. 309 (2009), no. 6, 1443-1466
2009-66On Fk-like groups
Algebra Logika 48 (2009), no. 2, 245-257, 284, 286-287; translation in Algebra Logic 48 (2009), no. 2, 140-146
2009-67New examples of finitely presented groups with strong fixed point properties
J. Topol. Anal. 1 (2009), no. 1, 1-12
2009-68On spinor varieties and their secants
SIGMA Symmetry Integrability Geom. Methods Appl. 5 (2009), Paper 078, 22 pp
2009-69Global effects of DNA replication and DNA replication origin activity on eukaryotic gene expression
Molecular Systems Biology 5 Article number: 312 doi:10.1038/msb.2009.70
2009-70Optimization of 3D Plasmonic Crystal Structures for Refractive Index Sensing
J. Phys. Chem. C 2009, 113, 10493-10499
2009-71On Stein's method for multivariate normal approximation
High dimensional probability V: the Luminy volume, 153-178, Inst. Math. Stat. (IMS) Collect., 5, Inst. Math. Statist., Beachwood, OH, 2009.
2009-72Revisiting the Bourgain-Tzafriri restricted invertibility theorem
Oper. Matrices 3 (2009), no. 1, 97-110
2009-73Paths of matrices with the strong Perron-Frobenius property converging to a given matrix with the Perron-Frobenius property
Electron. J. Linear Algebra 19 (2009), 90-97
2009-74Eventually cyclic matrices and a test for strong eventual nonnegativity
Electron. J. Linear Algebra 19 (2009), 129-140
2008
2008-2The zeros of random polynomials cluster uniformly near the unit circle
Compos. Math. 144 (2008), no. 3, 734-746.
2008-7Large gaps between the zeros of the Riemann zeta function
J. Number Theory 128 (2008), no. 3, 509-556.
2008-9Shellability and higher Cohen-Macaulay connectivity of generalized cluster complexes
Israel J. Math. 167 (2008), 177-191.
2008-12The Carathéodory and Kobayashi metrics and applications in complex analysis
Amer. Math. Monthly 115 (2008), no. 4, 304-329.
2008-13On exceptional eigenvalues of the Laplacian for \(\Gamma_ 0(N)\)
Proc. Amer. Math. Soc. 136 (2008), no. 6, 1945-1953.
2008-14Ehrhart polynomial roots and Stanley's non-negativity theorem
Integer points in polyhedra–geometry, number theory, representation theory, algebra, optimization, statistics, 67-78, Contemp. Math., 452, Amer. Math. Soc., Providence, RI, 2008.
2008-16Moduli spaces of self-dual connections over asymptotically locally flat gravitational instantons
Comm. Math. Phys. 280 (2008), no. 2, 285-313.
2008-17Complex scaling and geometric analysis of several variables
Bull. Korean Math. Soc. 45 (2008), no. 3, 523-561.
2008-18Geometric integration theory
Cornerstones. Birkhäuser Boston, Inc., Boston, MA, 2008. xvi+339 pp.
2008-19The Lagrange inversion theorem in the smooth case
J. Math. Anal. Appl. 340 (2008), no. 2, 1263-1270.
2008-20Lower order terms in the full moment conjecture for the Riemann zeta function
J. Number Theory 128 (2008), no. 6, 1516-1554.
2008-22Rigidity and modularity of vertex tensor categories
Commun. Contemp. Math. 10 (2008), suppl. 1, 871-911
2008-23Convergence of well-balanced schemes for the initial boundary value problem for scalar conservation laws in 1D
Hyperbolic problems: theory, numerics, applications, 791-798, Springer, Berlin, 2008
2008-24Pretentious multiplicative functions and an inequality for the zeta-function
Anatomy of integers, 191-197, CRM Proc. Lecture Notes, 46, Amer. Math. Soc., Providence, RI, 2008
2008-25Knot homology via derived categories of coherent sheaves. I. The \({\frak{sl}}(2)\)-case
Duke Math. J. 142 (2008), no. 3, 511-588.
2008-26CLT for \(L^ p\) moduli of continuity of Gaussian processes
Stochastic Process. Appl. 118 (2008), no. 7, 1107-1135.
2008-28Zero forcing sets and the minimum rank of graphs
Linear Algebra Appl. 428 (2008), no. 7, 1628-1648.
2008-29Differential inequalities for Riesz means and Weyl-type bounds for eigenvalues
J. Funct. Anal. 254 (2008), no. 12, 3173-3191.
2008-30Lieb-Thirring inequalities on the half-line with critical exponent
J. Eur. Math. Soc. (JEMS) 10 (2008), no. 3, 739-755.
2008-31The Bergman kernel and projection on non-smooth worm domains
Houston J. Math. 34 (2008), no. 3, 873-950.
2008-33Minimum rank of matrices described by a graph or pattern over the rational, real and complex numbers
Electron. J. Combin. 15 (2008), no. 1, Research Paper 25, 19 pp.
2008-35An upper bound for the minimum rank of a graph
Linear Algebra Appl. 429 (2008), no. 7, 1629-1638.
2008-37Algorithmic randomness of continuous functions
Arch. Math. Logic 46 (2008), no. 7-8, 533-546.
2008-38A dynamical systems approach to the Kadison-Singer problem
J. Funct. Anal. 255 (2008), no. 1, 120-132.
2008-39Some new equivalences of Anderson's paving conjectures
Proc. Amer. Math. Soc. 136 (2008), no. 12, 4275-4282.
2008-41A decomposition theorem for frames and the Feichtinger conjecture
Proc. Amer. Math. Soc. 136 (2008), no. 6, 2043-2053.
2008-42A guide to complex variables
The Dolciani Mathematical Expositions, 32. MAA Guides, 1. Mathematical Association of America, Washington, DC, 2008.
2008-43Knot homology via derived categories of coherent sheaves. II. \(\frak{sl}_ m\) case
Invent. Math. 174 (2008), no. 1, 165-232.
2008-45Effective packing dimension of \(\Pi^ 0_ 1\)-classes
Proc. Amer. Math. Soc. 136 (2008), no. 10, 3655-3662.
2008-46The spectral decomposition of shifted convolution sums
Duke Math. J. 144 (2008), no. 2, 321-339.
2008-47Graph energy change due to edge deletion
Linear Algebra Appl. 428 (2008), no. 8-9, 2070-2078.
2008-48Orthogonal representations, minimum rank, and graph complements
Linear Algebra Appl. 428 (2008), no. 11-12, 2560-2568.
2008-49Two-loop superstrings. VII. Cohomology of chiral amplitudes
Nuclear Phys. B 804 (2008), no. 3, 421-506
2008-50Autocorrelation of ratios of \(L\)-functions
Commun. Number Theory Phys. 2 (2008), no. 3, 593-636
2008-51Pseudoconvexity, analytic discs and invariant metrics
Bull. Allahabad Math. Soc. 23 (2008), no. 2, 245-262
2008-52Complex variables
A physical approach with applications and MATLAB\(^\circledR\) Textbooks in Mathematics. Chapman \& Hall/CRC, Boca Raton, FL, 2008. xviii+421 pp.
2008-53The distribution of smooth numbers in arithmetic progressions
Anatomy of integers, 115-128, CRM Proc. Lecture Notes, 46, Amer. Math. Soc., Providence, RI, 2008
2008-55A vanishing theorem for finitely supported ideals in regular local rings
Special volume in honor of Melvin Hochster. Michigan Math. J. 57 (2008), 573-585
2008-56Quasi-socle ideals in Gorenstein numerical semigroups rings
J. Algebra 320 (2008), no. 1, 276-293.
2008-57Quasi-socle ideals in a Gorenstein local ring
J. Pure Appl. Algebra 212 (2008), no. 5, 969-980.
2008-58F-thresholds, tight closure, integral closure, and multiplicity bounds
Special volume in honor of Melvin Hochster. Michigan Math. J. 57 (2008), 463-483
2008-59Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves
J. Math. Pures Appl. (9) 90 (2008), no. 2, 160-200.
2008-60Correlations of eigenvalues and Riemann zeros
Commun. Number Theory Phys. 2 (2008), no. 3, 477-536
2008-62Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products
Duke Math. J. 143 (2008), no. 2, 205-223.
2008-63Rational 6-cycles under iteration of quadratic polynomials
LMS J. Comput. Math. 11 (2008), 367-380
2008-64On four-dimensional gradient shrinking solitons
Int. Math. Res. Not. IMRN 2008, no. 4, Art. ID rnm152, 13 pp.
2008-65Critical percolation of free product of groups
Internat. J. Algebra Comput. 18 (2008), no. 4, 683-704
2008-66A sufficient condition for a polynomial to be stable
J. Math. Anal. Appl. 347 (2008), no. 1, 81-89
2008-67The Kadison-Singer problem and the uncertainty principle
Proc. Amer. Math. Soc. 136 (2008), no. 12, 4235-4243
2007
2007-1Higher correlations of divisor sums related to primes. III. Small gaps between primes
Proc. Lond. Math. Soc. (3) 95 (2007), no. 3, 653-686.
2007-2Classification of Ding's Schubert varieties: finer rook equivalence
Canad. J. Math. 59 (2007), no. 1, 36-62
2007-3Vanishing of \(L\)-functions of elliptic curves over number fields
Ranks of elliptic curves and random matrix theory, 247-259, London Math. Soc. Lecture Note Ser., 341, Cambridge Univ. Press, Cambridge, 2007
2007-4Ranks of elliptic curves and random matrix theory
London Mathematical Society Lecture Note Series, 341. Cambridge University Press, Cambridge, 2007. vi+361 pp
2007-5Fire containment in grids of dimension three and higher
Discrete Appl. Math. 155 (2007), no. 17, 2257-2268.
2007-6Higher correlations of divisor sums related to primes. II. Variations of the error term in the prime number theorem
Proc. Lond. Math. Soc. (3) 95 (2007), no. 1, 199-247.
2007-10Low-lying zeros of \(L\)-functions with orthogonal symmetry
Duke Math. J. 136 (2007), no. 1, 115-172.
2007-11Secondary terms in the number of vanishings of quadratic twists of elliptic curve \(L\)-functions
Ranks of elliptic curves and random matrix theory, 215-232 London Math. Soc. Lecture Note Ser., 341, Cambridge Univ. Press, Cambridge, 2007.
2007-12Discretisation for odd quadratic twists
Ranks of elliptic curves and random matrix theory, 201-214 London Math. Soc. Lecture Note Ser., 341, Cambridge Univ. Press, Cambridge, 2007.
2007-13Applications of the \(L\)-functions ratios conjectures
Proc. Lond. Math. Soc. (3) 94 (2007), no. 3, 594-646.
2007-14A note on \(S(t)\) and the zeros of the Riemann zeta-function
Bull. Lond. Math. Soc. 39 (2007), no. 3, 482-486.
2007-15Modeling families of \(L\)-functions
Ranks of elliptic curves and random matrix theory, 53-69, London Math. Soc. Lecture Note Ser., 341, Cambridge Univ. Press, Cambridge, 2007.
2007-16A hybrid Euler-Hadamard product for the Riemann zeta function
Duke Math. J. 136 (2007), no. 3, 507-549.
2007-17The path to recent progress on small gaps between primes
Analytic number theory, 129-139, Clay Math. Proc., 7, Amer. Math. Soc., Providence, RI, 2007.
2007-18The crystal structure on the set of Mirković-Vilonen polytopes
Adv. Math. 215 (2007), no. 1, 66-93.
2007-20On zeros of Eisenstein series for genus zero Fuchsian groups
Proc. Amer. Math. Soc. 135 (2007), no. 8, 2391-2401
2007-22Diophantine definability and decidability in extensions of degree 2 of totally real fields
J. Algebra 313 (2007), no. 2, 846-896.
2007-23Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas
J. Algebra 308 (2007), no. 1, 270-294.
2007-24Integration over compact quantum groups
Publ. Res. Inst. Math. Sci. 43 (2007), no. 2, 277-302.
2007-25New scaling of Itzykson-Zuber integrals
Ann. Inst. H. Poincaré Probab. Statist. 43 (2007), no. 2, 139-146.
2007-26Distribution of lattice orbits on homogeneous varieties
Geom. Funct. Anal. 17 (2007), no. 1, 58-115.
2007-27An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach
Appl. Comput. Harmon. Anal. 23 (2007), no. 1, 74-113.
2007-28On some enumerative aspects of generalized associahedra
European J. Combin. 28 (2007), no. 4, 1208-1215.
2007-29The boundary behavior of holomorphic functions: global and local results
Asian J. Math. 11 (2007), no. 2, 179-199.
2007-30Interior gradient estimates and existence theorems for constant mean curvature graphs in \(M^ n\times\bold R\)
Pure Appl. Math. Q. 3 (2007), no. 3, part 2, 785-800.
2007-31Evans functions, Jost functions, and Fredholm determinants
Arch. Ration. Mech. Anal. 186 (2007), no. 3, 361-421.
2007-32Fredholm determinants and the Evans function for difference equations
Perspectives in operator theory, 111-135, Banach Center Publ., 75, Polish Acad. Sci., Warsaw, 2007.
2007-33The mathematical contributions of Serge Lang
Notices Amer. Math. Soc. 54 (2007), no. 4, 476-497.
2007-34Rational points on compactifications of semi-simple groups
J. Amer. Math. Soc. 20 (2007), no. 4, 1135-1186
2007-37The Carathéodory-Cartan-Kaup-Wu theorem on an infinite-dimensional Hilbert space
Nagoya Math. J. 185 (2007), 17-30.
2007-38Decay of weak solutions to the 2D dissipative quasi-geostrophic equation
Comm. Math. Phys. 276 (2007), no. 1, 93-115.
2007-39The minimum rank of symmetric matrices described by a graph: a survey
Linear Algebra Appl. 426 (2007), no. 2-3, 558-582.
2007-40New results on the Bergman kernel of the worm domain in complex space
Electron. Res. Announc. Math. Sci. 14 (2007), 35-41.
2007-41Hives and the fibres of the convolution morphism
Selecta Math. (N.S.) 13 (2007), no. 3, 483-496.
2007-42Approximate bivariate factorization, a geometric viewpoint
SNC'07, 1-10, ACM, New York, 2007.
2007-43Operator-valued semicircular elements: solving a quadratic matrix equation with positivity constraints
Int. Math. Res. Not. IMRN 2007, no. 22, Art. ID rnm086, 15 pp.
2007-44The number of imaginary quadratic fields with a given class number
Hardy-Ramanujan J. 30 (2007), 13-18.
2007-45\({}^ \perp N\) as an abstract elementary class
Ann. Pure Appl. Logic 149 (2007), no. 1-3, 25-39.
2007-46A discrete mean value of the derivative of the Riemann zeta function
Mathematika 54 (2007), no. 1-2, 113-155.
2007-48Singular value inequality and graph energy change
Electron. J. Linear Algebra 16 (2007), 291-299.
2007-49Random continuous functions
Proceedings of the Third International Conference on Computability and Complexity in Analysis (CCA 2006), 275-287 (electronic), Electron. Notes Theor. Comput. Sci., 167, Elsevier, Amsterdam, 2007.
2007-51Bounds for modular \(L\)-functions in the level aspect
Ann. Sci. École Norm. Sup. (4) 40 (2007), no. 5, 697-740.
2007-52Some properties of the Hoffman-Singleton graph
Appl. Anal. Discrete Math. 1 (2007), no. 2, 438-445.
2007-53Graphs with extremal energy should have a small number of distinct eigenvalues
Bull. Cl. Sci. Math. Nat. Sci. Math. No. 32 (2007), 43-57.
2007-54K-trivial closed sets and continuous functions
Computation and logic in the real world, 135-145, Lecture Notes in Comput. Sci., 4497, Springer, Berlin, 2007
2007-55Constructive dimension and weak truth-table degrees
Computation and logic in the real world, 63-72, Lecture Notes in Comput. Sci., 4497, Springer, Berlin, 2007
2007-56A 2-generated 2-related group with no non-trivial finite quotients
Algebra Discrete Math. 2007, no. 2, 111–114
2007-59Positive polynomials in scalar and matrix variables, the spectral theorem, and optimization
Operator theory, structured matrices, and dilations, 229-306, Theta Ser. Adv. Math., 7, Theta, Bucharest, 2007
2006
2006-2Pseudomoments of the Riemann zeta-function and pseudomagic squares
J. Number Theory 117 (2006), no. 2, 263-278.
2006-3The number of extensions of a number field with fixed degree and bounded discriminant
Ann. of Math. (2) 163 (2006), no. 2, 723-741.
2006-4Prolongations of geometric overdetermined systems
Internat. J. Math. 17 (2006), no. 6, 641-664.
2006-5The density of rational points on a certain singular cubic surface
J. Number Theory 119 (2006), no. 2, 242-283.
2006-10Random matrix theory and the Fourier coefficients of half-integral-weight forms
Experiment. Math. 15 (2006), no. 1, 67-82.
2006-11Conormal bundles, contact homology and knot invariants
The interaction of finite-type and Gromov-Witten invariants (BIRS 2003), 129-144 Geom. Topol. Monogr., 8, Geom. Topol. Publ., Coventry, 2006.
2006-12On the non-vanishing of elliptic curve \(L\)-functions at the central point
Proc. London Math. Soc. (3) 93 (2006), no. 1, 1-42.
2006-15Plane curves and contact geometry
Proceedings of Gökova Geometry-Topology Conference 2005, 165-174, Gökova Geometry/Topology Conference (GGT), Gökova, 2006.
2006-16The correspondence between augmentations and rulings for Legendrian knots
Pacific J. Math. 224 (2006), no. 1, 141-150.
2006-19Connectivity properties of moment maps on based loop groups
Geom. Topol. 10 (2006), 1607-1634.
2006-21An efficient shooting algorithm for Evans function calculations in large systems
Phys. D 220 (2006), no. 2, 116-126.
2006-22Random polynomials, random matrices and \(L\)-functions
Nonlinearity 19 (2006), no. 4, 919-936.
2006-23Moments of the derivative of characteristic polynomials with an application to the Riemann zeta function
Comm. Math. Phys. 267 (2006), no. 3, 611-629
2006-24Crystallization of random trigonometric polynomials
J. Stat. Phys. 123 (2006), no. 6, 1219-1230.
2006-25On permanental polynomials of certain random matrices
Int. Math. Res. Not. 2006, Art. ID 61570, 37 pp.
2006-26The expected number of zeros of a random system of \(p\)-adic polynomials
Electron. Comm. Probab. 11 (2006), 278-290.
2006-29On the enumeration of positive cells in generalized cluster complexes and Catalan hyperplane arrangements
J. Algebraic Combin. 23 (2006), no. 4, 355-375.
2006-30\(h\)-vectors of generalized associahedra and noncrossing partitions
Int. Math. Res. Not. 2006, Art. ID 69705, 28 pp.
2006-31On a generalization of Szemerédi's theorem
Proc. London Math. Soc. (3) 93 (2006), no. 3, 723-760.
2006-32Compactification of the moduli space of hyperplane arrangements
J. Algebraic Geom. 15 (2006), no. 4, 657-680.
2006-33Polyhedral conditions for the nonexistence of the MLE for hierarchical log-linear models
J. Symbolic Comput. 41 (2006), no. 2, 222-233.
2006-34On the asymptotic dynamics of a quantum system composed by heavy and light particles
Comm. Math. Phys. 268 (2006), no. 3, 819-852.
2006-35On the computation of the coefficients of a modular form
Algorithmic number theory, 30-39, Lecture Notes in Comput. Sci., 4076, Springer, Berlin, 2006.
2006-36Jacobiens, jacobiennes et stabilité numérique
Groupes de Galois arithmétiques et différentiels, 91-125, Sémin. Congr., 13, Soc. Math. France, Paris, 2006.
2006-38A geometric boson-fermion correspondence
C. R. Math. Acad. Sci. Soc. R. Can. 28 (2006), no. 3, 65-84.
2006-39The topology of asymptotically locally flat gravitational instantons
Phys. Lett. B 641 (2006), no. 6, 461-465.
2006-40The Kadison-Singer problem in mathematics and engineering: a detailed account
Operator theory, operator algebras, and applications, 299-355, Contemp. Math., 414, Amer. Math. Soc., Providence, RI, 2006.
2005
2005-1A geometric proof of the existence of Whitney stratifications
Mosc. Math. J. 5 (2005), no. 1, 125-133.
2005-2On the trace of Hecke operators for Maass forms for congruence subgroups. II
Forum Math. 17 (2005), no. 1, 1-30.
2005-3Around the Hilbert-Arnold problem
On finiteness in differential equations and Diophantine geometry, 111–162, CRM Monogr. Ser., 24, Amer. Math. Soc., Providence, RI, 2005
2005-7On a wave map equation arising in general relativity
XIVth International Congress on Mathematical Physics, 330-336, World Sci. Publ., Hackensack, NJ, 2005.
2005-10Convexity of the figure eight solution to the three-body problem
Pacific J. Math. 219 (2005), no. 2, 271-283.
2005-11Differentiation evens out zero spacings
Trans. Amer. Math. Soc. 357 (2005), no. 9, 3789-3811.
2005-13On the ramification of Hecke algebras at Eisenstein primes
Invent. Math. 160 (2005), no. 1, 97-144.
2005-14On the rank of a tropical matrix
Combinatorial and computational geometry, 213-242, Math. Sci. Res. Inst. Publ., 52, Cambridge Univ. Press, Cambridge, 2005
2005-15Distribution of eigenvalues for the ensemble of real symmetric Toeplitz matrices
J. Theoret. Probab. 18 (2005), no. 3, 537-566
2005-16Coefficients and roots of Ehrhart polynomials
Integer points in polyhedra–geometry, number theory, algebra, optimization, 15-36, Contemp. Math., 374, Amer. Math. Soc., Providence, RI, 2005.
2005-17An arithmetic formula for certain coefficients of the Euler product of Hecke polynomials
J. Number Theory 113 (2005), no. 1, 175-200.
2005-19Basic analytic number theory
Recent perspectives in random matrix theory and number theory. 185-200 London Math. Soc. Lecture Note Ser., 322, Cambridge Univ. Press, Cambridge, 2005.
2005-20Lower-order terms of the 1-level density of families of elliptic curves
Int. Math. Res. Not. 2005, no. 10, 587-633.
2005-21Higher moments of primes in short intervals. II
Int J. Number Theory 1 (2005), no. 2, 207-214.
2005-22Notes on pair correlation of zeros and prime numbers
Recent perspectives in random matrix theory and number theory 79-110 London Math. Soc. Lecture Note Ser., 322, Cambridge Univ. Press, Cambridge, 2005.
2005-23The moduli space of \(n\) tropically collinear points in \(\Bbb R^d\)
Collect. Math. 56 (2005), no. 1, 1-19
2005-25A Legendrian Thurston-Bennequin bound from Khovanov homology
Algebr. Geom. Topol. 5 (2005), 1637-1653
2005-26Friendly measures, homogeneous flows and singular vectors
Algebraic and topological dynamics, 281-292, Contemp. Math., 385, Amer. Math. Soc., Providence, RI, 2005.
2005-27Calculation and estimation of the Poisson kernel
J. Math. Anal. Appl. 302 (2005), no. 1, 143-148.
2005-29Horizontal configurations of points in link complements
European Congress of Mathematics, 233-245, Eur. Math. Soc., Zürich, 2005.
2005-30Reconstructing the pathways of a cellular system from genome-scale signals by using matrix and tensor computations
PNAS December 6, 2005 102 (49) 17559-17564; https://doi.org/10.1073/pnas.0509033102
2005-31Differentiability of solutions with respect to parameters in neutral differential equations with state-dependent delays
Hungary Journal of Mathematical Analysis and Applications DOI: 10.1016/j.jmaa.2005.12.025
2004
2004-2Random matrix ensembles associated to compact symmetric spaces
Comm. Math. Phys. 244 (2004), no. 1, 29-61.
2004-4A limit shape theorem for periodic stochastic dispersion
Comm. Pure Appl. Math. 57 (2004), no. 9, 1127-1158.
2004-7Invariant sets and measures of nonexpansive group automorphisms
Israel J. Math. 144 (2004), 29-60.
2004-8On the distribution of lattice points in thin annuli
Int. Math. Res. Not. 2004, no. 13, 637-658.
2004-12Maximal triangulations of a regular prism
J. Combin. Theory Ser. A 106 (2004), no. 1, 159-164.
2004-13A counterexample to the Gouvêa-Mazur conjecture
C. R. Math. Acad. Sci. Paris 338 (2004), no. 10, 751-753.
2004-15Modular parametrizations of Neumann-Setzer elliptic curves
Int. Math. Res. Not. 2004, no. 27, 1395-1405.
2003
2003-2The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles
Invent. Math. 151 (2003), no. 3, 451-512.
2003-3The splitting of primes in division fields of elliptic curves
Experiment. Math. 11 (2002), no. 4, 555-565 (2003).
2003-6Multiple Dirichlet series and moments of zeta and \(L\)-functions
Compositio Math. 139 (2003), no. 3, 297-360.
2003-7Tight contact structures on fibered hyperbolic 3-manifolds
J. Differential Geom. 64 (2003), no. 2, 305-358.
2003-8Higher correlations of divisor sums related to primes. I. Triple correlations
Integers 3 (2003), A5, 66 pp.
2003-11Random matrix theory and the zeros of \(\zeta'(s)\)
Random matrix theory J. Phys. A 36 (2003), no. 12, 2945-2962.
2003-13Lectures on sieves
Proceedings of the Session in Analytic Number Theory and Diophantine Equations, 50 pp Bonner Math. Schriften, 360, Univ. Bonn, Bonn, 2003.
2003-14The density of rational points on Cayley's cubic surface
Proceedings of the Session in Analytic Number Theory and Diophantine Equations, 33 pp Bonner Math. Schriften, 360, Univ. Bonn, Bonn, 2003
2003-15\(0\)-efficient triangulations of 3-manifolds
J. Differential Geom. 65 (2003), no. 1, 61-168.
2003-16Normal families of holomorphic functions and mappings on a Banach space
Expo. Math. 21 (2003), no. 3, 193-218.
2003-17Random matrix theory and discrete moments of the Riemann zeta function
Random matrix theory. J. Phys. A 36 (2003), no. 12, 2907-2917.
2003-18Linear statistics of low-lying zeros of \(L\)-functions
Q. J. Math. 54 (2003), no. 3, 309-333.
2002
2002-1Algebraic \(K\)-theory and trace invariants
Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 415-425, Higher Ed. Press, Beijing, 2002.
2002-2Beyond pair correlation
Paul Erdős and his mathematics, I (Budapest, 1999), 507-514, Bolyai Soc. Math. Stud., 11, János Bolyai Math. Soc., Budapest, 2002.
2002-3Tight contact structures with no symplectic fillings
Invent. Math. 148 (2002), no. 3, 609-626.
2002-4A convexity theorem for torus actions on contact manifolds
Illinois J. Math. 46 (2002), no. 1, 171-184.
2002-5On the frequency of vanishing of quadratic twists of modular \(L\)-functions
Number theory for the millennium, I (Urbana, IL, 2000), 301-315, A K Peters, Natick, MA, 2002.
2002-6Invariants of Legendrian knots and coherent orientations
J. Symplectic Geom. 1 (2002), no. 2, 321-367.
2002-7Growth of solutions for QG and 2D Euler equations
J. Amer. Math. Soc. 15 (2002), no. 3, 665-670.
2002-8Scalars convected by a two-dimensional incompressible flow
Comm. Pure Appl. Math. 55 (2002), no. 2, 255-260.
2002-11Generating a random sink-free orientation in quadratic time
Electron J. Combin. 9 (2002), no. 1, Research Paper 10, 13 pp.
2002-14Elliptic curves with large rank over function fields
Ann. of Math. (2) 155 (2002), no. 1, 295-315.
2002-16Spacing of zeros of Hecke \(L\)-functions and the class number problem
Acta Arith. 103 (2002), no. 3, 259-312.
2001
2001-1Constant mean curvature surfaces with Delaunay ends
Comm. Anal. Geom. 9 (2001), no. 1, 169-237.
2001-2Low lying zeros of families of \(L\)-functions
Inst. Hautes Études Sci. Publ. Math. No. 91 (2000), 55-131 (2001).
2001-5An Eulerian-Lagrangian approach for incompressible fluids: local theory
J. Amer. Math. Soc. 14 (2001), no. 2, 263-278.
2001-6On the trace of Hecke operators for Maass forms for congruence subgroups
Forum Math. 13 (2001), no. 4, 447-484.
2001-7Connected sums of constant mean curvature surfaces in Euclidean 3 space
J. Reine Angew. Math. 536 (2001), 115-165.
2001-9\(L\)-functions and random matrices
Mathematics unlimited–2001 and beyond, 331-352, Springer, Berlin, 2001.
2001-10Minimizing area among Lagrangian surfaces: the mapping problem
J. Differential Geom. 58 (2001), no. 1, 1-86.
2001-12Rank frequencies for quadratic twists of elliptic curves
Experiment. Math. 10 (2001), no. 4, 559-569.
2001-13Diophantine properties of elements of \({\rm SO}(3)\)
Geom. Funct. Anal. 11 (2001), no. 5, 953-970.
2001-14Une infinité de structures de contact tendues sur les variétés toroïdales
Comment. Math. Helv. 76 (2001), no. 2, 353-372.
2001-15A stretched exponential bound on the rate of growth of the number of periodic points for prevalent diffeomorphisms. II
Electron. Res. Announc. Amer. Math. Soc. 7 (2001), 28-36.
2001-16The topological structure of contact and symplectic quotients
Internat. Math. Res. Notices 2001, no. 1, 33-52
2001-18Holonomic approximation and Gromov's \(h\)-principle
Essays on geometry and related topics, Vol. 1, 2, 271-285, Monogr. Enseign. Math., 38, Enseignement Math., Geneva, 2001.
2001-19On the collapse of tubes carried by 3D incompressible flows
Comm. Math. Phys. 222 (2001), no. 2, 293-298.
2001-20Symplectic fillability of tight contact structures on torus bundles
Algebr. Geom. Topol. 1 (2001), 153-172.
2001-21The Tate conjecture for certain abelian varieties over finite fields
Acta Arith. 100 (2001), no. 2, 135-166
2000
2000-1The cubic moment of central values of automorphic \(L\)-functions
Ann. of Math. (2) 151 (2000), no. 3, 1175-1216.
2000-3A note on some positivity conditions related to zeta and \(L\)-functions
Internat. Math. Res. Notices 2000, no. 18, 929-940.
2000-4Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac12\)
Ann. of Math. (2) 152 (2000), no. 2, 447-488.
2000-6Mean values of \(L\)-functions and symmetry
Internat. Math. Res. Notices 2000, no. 17, 883-908.
2000-9Structures de contact en dimension trois et bifurcations des feuilletages de surfaces
Invent. Math. 141 (2000), no. 3, 615-689.
2000-10Navier-Stokes equations and fluid turbulence
ICIAM 99 (Edinburgh), 35-46, Oxford Univ. Press, Oxford, 2000.
2000-11Introduction to symplectic field theory
GAFA 2000 (Tel Aviv, 1999). Geom. Funct. Anal. 2000, Special Volume, Part II, 560-673.
1999
1999-1Iwasawa theory for elliptic curves
Arithmetic theory of elliptic curves (Cetraro, 1997), 51-144, Lecture Notes in Math., 1716, Springer, Berlin, 1999.
1999-2M-theory, topological strings and spinning black holes
Adv. Theor. Math. Phys. 3 (1999), no. 5, 1445-1537.
1999-3On the \(L^ 2\)-instability and \(L^ 2\)-controllability of steady flows of an ideal incompressible fluid
Journées ``Équations aux Dérivées Partielles'' (Saint-Jean-de-Monts, 1999), Exp. No. XIII, 8 pp., Univ. Nantes, Nantes, 1999.
1998
1998-1A conjecture for the sixth power moment of the Riemann zeta-function
Internat. Math. Res. Notices (1998), no. 15, 775-780.
1998-2Stability for holomorphic spheres and Morse theory
Geometry and topology: Aarhus (1998), 87-106, Contemp. Math., 258, Amer. Math. Soc., Providence, RI, 2000.
1998-3Omega results for the divisor and circle problems
Int. Math. Res. Not. 2003, no. 36, 1987-1998.
