2022
Exact discretization of harmonic tensors
Potential Anal. 56 (2022), no. 3, 409-421
Identifiability of linear compartmental models: the singular locus
Adv. in Appl. Math. 133 (2022), Paper No. 102268, 28 pp.
Uniform 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
Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups
Res. Math. Sci. 9 (2022), no. 1, Paper No. 12, 132 pp.
Moduli spaces of rational curves on Fano threefolds.
Adv. Math. 408 (2022), Paper No. 108557
The circular maximal operator on Heisenberg radial functions
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 23 (2022), no. 2, 501-568
On 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
Improved homological stability for certain general linear groups
June 2022 Proceedings of the London Mathematical Society DOI:10.1112/plms.12463
A phase field model for mass transport with semi-permeable interfaces
J. Comput. Phys. 464 (2022), Paper No. 111334, 23 pp.
Neural-network quantum states for periodic systems in continuous space
Physical. Rev. Research 4, 023138 (2022)
A 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.
A potential two-scale traveling wave singularity for 3D incompressible Euler equations
Phys. D 435 (2022), Paper No. 133257, 27 pp
Patterns of synchronization in 2D networks of inhibitory neuronsFront.
Front. Comput. Neurosci., 16 August 2022 https://doi.org/10.3389/fncom.2022.903883
An area-depth symmetric {\(q,t\)}-Catalan polynomial
Electron. J. Combin. 29 (2022), no. 2, Paper No. 2.13, 23 pp.
Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations
J. Stat. Phys. 187 (2022), no. 1, Paper No. 8, 49 pp.
On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
Invent. Math. 228 (2022), no. 1, 107-375
Equidistribution of \(\alpha p^\theta\) with a Chebotarev condition and applications to extremal primes
Mathematika 68 (2022), no. 3, 595-619
On the second homology of planar graph braid groups
J. Topol. 15 (2022), no. 2, 666-691
How well-conditioned can the eigenvector problem be?
Math. Comp. 91 (2022), no. 335, 1237-1245
Stratification 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.
Examples of deformed \(\rm G_2\)-instantons/Donaldson-Thomas connections
Ann. Inst. Fourier (Grenoble) 72 (2022), no. 1, 339-366
Sub-convexity bound for \(GL(3) \times GL(2)\) \(L\)-functions: the depth aspect
Math. Z. 301 (2022), no. 3, 2229-2268
Newton 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/
The Chern classes and Euler characteristic of the moduli spaces of Abelian differentials
Forum Math. Pi 10 (2022), Paper No. e16.
Möbius disjointness for \(C^{1+\varepsilon}\) skew products
Int. Math. Res. Not. IMRN 2022, no. 4, 2513-2531
A sharp multidimensional Hermite-Hadamard inequality
Int. Math. Res. Not. IMRN 2022, no. 2, 1297-1312
Universal approximation of symmetric and anti-symmetric functions
Commun. Math. Sci. 20 (2022), no. 5, 1397-1408
On the polynomiality of orbifold Gromov-Witten theory of root stacks
Math. Z. 300 (2022), no. 1, 235-246
Multi-experiment Parameter Identifiability of ODEs and Model Theory
SIAM J. Appl. Algebra Geom. 6 (2022), no. 3, 339-367
Prelog Chow groups of self-products of degenerations of cubic threefolds
Eur. J. Math. 8 (2022), no. 1, 260-290
On the dimension spectra of infinite conformal iterated function systems
J. Fractal Geom. 9 (2022), no. 1, 73-87
Optimal measures for \(p\)-frame energies on spheres
Rev. Mat. Iberoam. 38 (2022), no. 4, 1129-1160
Fourier-Mukai transforms of slope stable torsion-free sheaves on Weierstrass elliptic threefolds
J. Algebra 604 (2022), 40-86
2021
The generator rank of \(C^\ast\)-algebras
J. Funct. Anal. 280 (2021), no. 4, Paper No. 108874, 34 pp.
Open problems and questions about geodesics
Ergodic Theory Dynam. Systems 41 (2021), no. 3, 641-684
Persistence exponents in Markov chains
Ann. Inst. Henri Poincaré Probab. Stat. 57 (2021), no. 3, 1411-1441
Biologically-Based Mathematical Modeling of Tumor Vasculature and Angiogenesis via Time-Resolved Imaging Data
Cancers 2021, 13(12), 3008; https://doi.org/10.3390/cancers13123008
Sobolev improving for averages over curves in \(\Bbb{R}^4\)
Adv. Math. 393 (2021), Paper No. 108089, 85 pp.
A mosquito-borne disease model with non-exponentially distributed infection and treatment stages
Journal of Dynamics and Differential Equations volume 33, pages 1679-1709 (2021)
Effects 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
Finite 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
On toric geometry and K-stability of Fano varieties
Trans. Amer. Math. Soc. Ser. B 8 (2021), 548-577
Well-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
Asymptotic 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
Hilbert transforms and the equidistribution of zeros of polynomials
J. Funct. Anal. 281 (2021), no. 9, Paper No. 109199, 25 pp.
Deletion and contraction in configuration spaces of graphs
Algebr. Geom. Topol. 21 (2021), no. 7, 3663-3674
The limits of distribution-free conditional predictive inference
Inf. Inference 10 (2021), no. 2, 455-482
Predictive inference with the jackknife+
Ann. Statist. 49 (2021), no. 1, 486-507
Farber's conjecture for planar graphs
Selecta Math. (N.S.) 27 (2021), no. 5, Paper No. 90, 12 pp.
Geometric presentations of braid groups for particles on a graph
Comm. Math. Phys. 384 (2021), no. 2, 1109-1140
Model structures and structural identifiability: what? why? how?
2019-20 MATRIX annals, 185-213, MATRIX Book Ser., 4, Springer, Cham, [2021]
Spatially localized cluster solutions in inhibitory neural networks
Mathematical Biosciences, Volume 336, June 2021, 108591 doi: 10.1016/j.mbs.2021.108591
Bifurcation and sensitivity analysis reveal key drivers of multistability in a model of macrophage polarization
J. Theoret. Biol. 509 (2021), Paper No. 110511, 15 pp.
Autocatalytic networks: an intimate relation between network topology and dynamics
SIAM J. Appl. Math. 81 (2021), no. 4, 1623-1644
Rank varieties and \(\pi\)-points for elementary supergroup schemes
Trans. Amer. Math. Soc. Ser. B 8 (2021), 971-998
A novel regularization based on the error function for sparse recovery
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D3-branes wrapped on a spindle
Phys. Rev. Lett. 126 (2021), no. 11, Paper No. 111601, 6 pp.
Accelerating black holes and spinning spindles
Phys. Rev. D 104 (2021), no. 4, Paper No. 046007, 37 pp.
M5-branes wrapped on a spindle
J. High Energy Phys. 2021, no. 11, Paper No. 002, 20 pp.
Thermodynamics of accelerating and supersymmetric {\({\rm AdS}_4\)} black holes
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Regular Bernstein blocks
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Arcsine laws for random walks generated from random permutations with applications to genomics
J. Appl. Probab. 58 (2021), no. 4, 851-867.
On the construction of tame supercuspidal representations
Compos. Math. 157 (2021), no. 12, 2733-2746
Maximal rigid subalgebras of deformations and \(L^2\)-cohomology
Anal. PDE 14 (2021), no. 7, 2269-2306.
Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit
Arch. Ration. Mech. Anal. 240 (2021), no. 2, 699-760
Kissing number in non-Euclidean spaces of constant sectional curvature
Math. Comp. 90 (2021), no. 331, 2507-2525
Moduli spaces of generalized hyperpolygons
Q. J. Math. 72 (2021), no. 1-2, 137-161
Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture
Ann. of Math. (2) 194 (2021), no. 2, 519-584
WWPD elements of big mapping class groups
Groups Geom. Dyn. 15 (2021), no. 3, 825-848
Geometry of the graphs of nonseparating curves: covers and boundaries
Geom. Dedicata 212 (2021), 73-106
Nielsen realization for infinite-type surfaces
Proc. Amer. Math. Soc. 149 (2021), no. 4, 1791-1799
Homeomorphic subsurfaces and the omnipresent arcs
Ann. H. Lebesgue 4 (2021), 1565-1593.
Braided zesting and its applications
Comm. Math. Phys. 386 (2021), no. 1, 1-55
Bounded and compact Toeplitz+Hankel matrices
Studia Math. 260 (2021), no. 1, 103-120
Embedding spheres in knot traces
Compos. Math. 157 (2021), no. 10, 2242-2279
Topological flows for hyperbolic groups
Ergodic Theory Dynam. Systems 41 (2021), no. 11, 3474-3520
Branched covers bounding rational homology balls
Algebr. Geom. Topol. 21 (2021), no. 7, 3569-3599
A variational formulation for Dirac operators in bounded domains. Applications to spectral geometric inequalities
Comm. Math. Phys. 386 (2021), no. 2, 781-818
Limiting eigenfunctions of Sturm-Liouville operators subject to a spectral flow
Ann. Math. Qué. 45 (2021), no. 2, 249-269
The minimum modulus of Gaussian trigonometric polynomials
Israel J. Math. 245 (2021), no. 2, 543-566
Computing all identifiable functions of parameters for ODE models
Systems Control Lett. 157 (2021), Paper No. 105030, 13 pp.
An asymptotic expansion for the expected number of real zeros of Kac-Geronimus polynomials
Rocky Mountain J. Math. 51 (2021), no. 4, 1171-1188
Variance of real zeros of random orthogonal polynomials
J. Math. Anal. Appl. 498 (2021), no. 1, Paper No. 124954, 32 pp.
Graded \(C^\ast\)-algebras and twisted groupoid \(C^\ast\)-algebras
New York J. Math. 27 (2021), 205-252
Intermediate \(C^*\)-algebras of Cartan embeddings
Proc. Amer. Math. Soc. Ser. B 8 (2021), 27-41
Energy on spheres and discreteness of minimizing measures
J. Funct. Anal. 280 (2021), no. 11, Paper No. 108995, 28 pp.
The Chern-Ricci flow on primary Hopf surfaces
Math. Z. 299 (2021), no. 3-4, 1689-1702
\(C^{1,1}\) regularity of geodesics of singular Kähler metrics
J. Lond. Math. Soc. (2) 104 (2021), no. 1, 66-96
A Liouville theorem on the PDE \(\det(f_{i\bar{\jmath}})=1\)
Math. Z. 297 (2021), no. 3-4, 1623-1632 32U05 (32W50)
Dynamical Belyi maps and arboreal Galois groups
Manuscripta Math. 165 (2021), no. 1-2, 1-34
On the regularity radius of Delone sets in \(\Bbb{R}^3\)
Discrete Comput. Geom. 66 (2021), no. 3, 996-1024
Local duality for the singularity category of a finite dimensional Gorenstein algebra
Nagoya Math. J. 244 (2021), 1-24
Detecting nilpotence and projectivity over finite unipotent supergroup schemes
Selecta Math. (N.S.) 27 (2021), no. 2, Paper No. 25, 59 pp.
Branched coverings of \(CP^2\) and other basic 4-manifolds
Bull. Lond. Math. Soc. 53 (2021), no. 3, 825-842
Numerical Schubert calculus via the Littlewood-Richardson homotopy algorithm
Math. Comp. 90 (2021), no. 329, 1407-1433.
Rationality is decidable for nearly Euclidean Thurston maps
Geom. Dedicata 213 (2021), 487-512
A dynamical approach to semilinear elliptic equations
Ann. Inst. H. Poincar?? C Anal. Non Lin??aire 38 (2021), no. 2, 421-450
Disjointness between bounded rank-one transformations
Colloq. Math. 164 (2021), no. 1, 91-121
Improved bounds for Hermite-Hadamard inequalities in higher dimensions
J. Geom. Anal. 31 (2021), no. 1, 801-816
Extremal problems for convex geometric hypergraphs and ordered hypergraphs
Canad. J. Math. 73 (2021), no. 6, 1648-1666
The tree property at the two immediate successors of a singular cardinal
J. Symb. Log. 86 (2021), no. 2, 600-608
The rhombic triacontahedron and crystallography
Polytopes and discrete geometry, 235-249, Contemp. Math., 764, Amer. Math. Soc., [Providence], RI, [2021]
Harmonic spinors on the Davis hyperbolic 4-manifold
J. Topol. Anal. 13 (2021), no. 3, 699-737
2020
The KdV equation on the half-line: time-periodicity and mass transport
SIAM J. Math. Anal. 52 (2020), no. 2, 1009-1039.
Augmentations are sheaves
Geom. Topol. 24 (2020), no. 5, 2149-2286
Complex Legendre duality
Amer. J. Math. 142 (2020), no. 1, 323-339
Orbital exponential sums for prehomogeneous vector spaces
Amer. J. Math. 142 (2020), no. 1, 177-213
Graph towers, laminations and their invariant measures
J. Lond. Math. Soc. (2) 101 (2020), no. 3, 1112-1172
Modularity 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
Modularity 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
On groups with \(S^2\) Bowditch boundary
Groups Geom. Dyn. 14 (2020), no. 3, 791-811
Classification of super-modular categories by rank
Algebr. Represent. Theory 23 (2020), no. 3, 795-809
The free group on n generators modulo n+u random relations as n goes to infinity
J. Reine Angew. Math. 762 (2020), 123-166
A stability index for travelling waves in activator-inhibitor systems
Proc. Roy. Soc. Edinburgh Sect. A 150 (2020), no. 1, 517-548
Bounds 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
Multiplicity sequence and integral dependence
Math. Ann. 378 (2020), no. 3-4, 951-969.
Cohomology groups of Fermat curves via ray class fields of cyclotomic fields
J. Algebra 554 (2020), 78-105
Arithmetic 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
Unitary dual functors for unitary multitensor categories
High. Struct. 4 (2020), no. 2, 22-56
Opening Crystallography
Structural Chemistry (October 2020), 1 - 14; DOI 10.1007/s11224-020-01599-5)
Randomness 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.
Cubic 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
Self-dual cuspidal representations
Represent. Theory 24 (2020), 210-228
Target reproduction numbers for reaction-diffusion population models
J. Math. Biol. 81 (2020), no. 2, 625-647.
Kostant's partition function and magic multiplex juggling sequences
Ann. Comb. 24 (2020), no. 3, 439-473
Domains without dense Steklov nodal sets
J. Fourier Anal. Appl. 26 (2020), no. 3, Paper No. 45, 29 pp
Good weights for the Erdös discrepancy problem
Discrete Anal. 2020, Paper No. 8, 23 pp.
Quantum security analysis of CSIDH
Advances in cryptology-EUROCRYPT 2020. Part II, 493-522, Lecture Notes in Comput. Sci., 12106, Springer, Cham, [2020]
Big mapping class groups: an overview
In the tradition of Thurston-geometry and topology, 459-496, Springer, Cham, [2020]
Detailed 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.
Entanglement 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.
Fredholm 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
Big fields that are not large
Proc. Amer. Math. Soc. Ser. B 7 (2020), 159-169
Unique equilibrium states for geodesic flows over surfaces without focal points
Nonlinearity 33 (2020), no. 3, 1118-1155
Spectral gaps of 1-D Robin Schrödinger operators with single-well potentials
J. Math. Phys. 61 (2020), no. 9, 091507, 15 pp.
Homotopy ribbon concordance and Alexander polynomials
Arch. Math. (Basel) 115 (2020), no. 6, 717-725
Bounds on Kronecker coefficients via contingency tables
Linear Algebra Appl. 602 (2020), 157-178
Breaking down the reduced Kronecker coefficients
C. R. Math. Acad. Sci. Paris 358 (2020), no. 4, 463-468
Stochastic model of bovine babesiosis with juvenile and adult cattle
Bull. Math. Biol. 82 (2020), no. 6, Paper No. 64, 17 pp.
Arboreal singularities from Lefschetz fibrations
Proceedings of the Gökova Geometry-Topology Conferences 2018/2019, 90-104, Int. Press, Somerville, MA, 2020
Generalized \(q, t\) - Catalan numbers
Algebr. Comb. 3 (2020), no. 4, 855-886
A particle method for the homogeneous Landau equation
J. Comput. Phys. X 7 (2020), 100066, 24 pp.
Families of toric chemical reaction networks
J. Math. Chem. 58 (2020), no. 9, 2061-2093
On homotopy types of Vietoris-Rips complexes of metric gluings
J. Appl. Comput. Topol. 4 (2020), no. 3, 425-454.
Infinite families of potential modular data related to quadratic categories
Comm. Math. Phys. 380 (2020), no. 3, 1091-1150.
Sparse bounds for the discrete spherical maximal functions
Pure Appl. Anal. 2 (2020), no. 1, 75-92
An insertion algorithm on multiset partitions with applications to diagram algebras
J. Algebra 557 (2020), 97-128.
\(l^p\)-improving inequalities for discrete spherical averages
Anal. Math. 46 (2020), no. 1, 85-95
Ordered and convex geometric trees with linear extremal function
Discrete Comput. Geom. 64 (2020), no. 2, 324-338
Hypergraphs 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
The ineffable tree property and failure of the singular cardinals hypothesis
Trans. Amer. Math. Soc. 373 (2020), no. 8, 5937-5955
Uniform Manin-Mumford for a family of genus 2 curves
Ann. of Math. (2) 191 (2020), no. 3, 949-1001
Tight paths in convex geometric hypergraphs
Adv. Comb. 2020, Paper No. 1, 14 pp.
The Engel-Lutz twist and overtwisted Engel structures
Geom. Topol. 24 (2020), no. 5, 2471-2546
The satisfiability threshold for random linear equations
Combinatorica 40 (2020), no. 2, 179-235
Szemerédi's proof of Szemerédi's theorem
Acta Math. Hungar. 161 (2020), no. 2, 443-487
On supra-SIM sets of natural numbers
Combinatorial and additive number theory. III, 123-132, Springer Proc. Math. Stat., 297, Springer, Cham, [2020]
A moduli stack of tropical curves
Forum Math. Sigma 8 (2020), Paper No. e23, 93 pp.
Logarithmic compactification of the Abel-Jacobi section
Proc. Lond. Math. Soc. (3) 121 (2020), no. 5, 1207-1250
Properties of a \(q\)-analogue of zero forcing
Graphs Combin. 36 (2020), no. 5, 1401-1419
Joining and decomposing reaction networks
J. Math. Biol. 80 (2020), no. 6, 1683-1731
The surface quasi-geostrophic equation with random diffusion
Int. Math. Res. Not. IMRN 2020, no. 23, 9370-9385
Model selection and local geometry
Ann. Statist. 48 (2020), no. 6, 3513-3544
On the Cantor-Bendixson rank of the Grigorchuk group and the Gupta-Sidki 3 group
J. Algebra 555 (2020), 386-405
Sparse bounds for pseudodifferential operators
J. Anal. Math. 140 (2020), no. 1, 89-116
Multiparty non-interactive key exchange and more from isogenies on elliptic curves
J. Math. Cryptol. 14 (2020), no. 1, 5-14
On logarithmic bounds of maximal sparse operators
Math. Z. 294 (2020), no. 3-4, 1271-1281
The Bousfield-Kuhn functor and topological André-Quillen cohomology
Invent. Math. 220 (2020), no. 3, 949-1022
Rational points of quiver moduli spaces
Ann. Inst. Fourier (Grenoble) 70 (2020), no. 3, 1259-1305
2019
On motivic vanishing cycles of critical loci
J. Algebraic Geom. 28 (2019), no. 3, 405-438
A Darboux theorem for derived schemes with shifted symplectic structure
J. Amer. Math. Soc. 32 (2019), no. 2, 399-443
Three Ehrhart quasi-polynomials
Algebr. Comb. 2 (2019), no. 3, 379-416
On the topological computation of \(K_4\) of the Gaussian and Eisenstein integers
J. Homotopy Relat. Struct. 14 (2019), no. 1, 281-291.
Smooth, identifiable supermodels of discrete DAG models with latent variables
Bernoulli 25 (2019), no. 2, 848-876
Random integral matrices and the Cohen-Lenstra heuristics
Amer. J. Math. 141 (2019), no. 2, 383-398.
Detecting fully irreducible automorphisms: a polynomial time algorithm, With an appendix by Mark C. Bell
Exp. Math. 28 (2019), no. 1, 24-38
The 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
Noncommutative resolutions using syzygies
Bull. Lond. Math. Soc. 51 (2019), no. 1, 43-48
Salem numbers and arithmetic hyperbolic groups
Trans. Amer. Math. Soc. 372 (2019), no. 1, 329-355
On the Erdős-Hajnal conjecture for six-vertex tournaments
European J. Combin. 75 (2019), 113-122
A heuristic for boundedness of ranks of elliptic curves
J. Eur. Math. Soc. (JEMS) 21 (2019), no. 9, 2859-2903
Improved bounds in Weaver and Feichtinger conjectures
J. Reine Angew. Math. 749 (2019), 267-293
A combinatorial model for computing volumes of flow polytopes.
Trans. Amer. Math. Soc. 372 (2019), no. 5, 3369-3404
On the maximal rank problem for the complex homogeneous Monge-Ampére equation
Anal. PDE 12 (2019), no. 2, 493-503
Analytic \(L\)-functions: definitions, theorems, and connections
Bull. Amer. Math. Soc. (N.S.) 56 (2019), no. 2, 261-280
Normal bundles of rational curves on complete intersections
Commun. Contemp. Math. 21 (2019), no. 2, 1850011, 29 pp.
Monoidal categories enriched in braided monoidal categories
Int. Math. Res. Not. IMRN 2019, no. 11, 3527-3579
Central stability for the homology of congruence subgroups and the second homology of Torelli groups
Adv. Math. 354 (2019), 106740
An 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
Isotopy of surfaces in 4-manifolds after a single stabilization
Adv. Math. 341 (2019), 609-615
Multigraded Cayley-Chow forms
Adv. Math. 348 (2019), 583-606
Deligne categories and representations of the infinite symmetric group
Adv. Math. 346 (2019), 1-47
Mixing time of an unaligned Gibbs sampler on the square.
Stochastic Process. Appl. 129 (2019), no. 9, 3570-3584
Intermittent 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
Dynamical Galois groups of trinomials and Odoni's conjecture
Bull. Lond. Math. Soc. 51 (2019), no. 2, 278-292
Quadratic Thurston maps with few postcritical points.
Geom. Dedicata 201 (2019), 33-55
Modular groups, Hurwitz classes and dynamic portraits of NET maps
Groups Geom. Dyn. 13 (2019), no. 1, 47-88
An algorithm for Komlós conjecture matching Banaszczyk's bound
SIAM J. Comput. 48 (2019), no. 2, 534-553
Nonabelian Cohen-Lenstra moments, With an appendix by the author and Philip Matchett Wood
Duke Math. J. 168 (2019), no. 3, 377-427
Presentations of NET maps
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Opening 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
Conformal prediction under covariate shift
Part of Advances in Neural Information Processing Systems 32 (NeurIPS 2019)
Chains in CR geometry as geodesics of a Kropina metric
Adv. Math. 350 (2019), 973-999
A deficiency-based approach to parametrizing positive equilibria of biochemical reaction systems
Bull. Math. Biol. 81 (2019), no. 4, 1143-1172.
Stabilization of the cohomology of thickenings
Amer. J. Math. 141 (2019), no. 2, 531-561.
Waveform parameters of retrobulbar vessels in glaucoma patients with different demographics and disease severity
European Journal of Ophthalmology, 2019, doi.org/10.1177/1120672119848259
Factoring a Homography to Analyze Projective Distortion
J. Math. Imaging Vision 61 (2019), no. 7, 967-989
Selectivity of the KcsA potassium channel: Analysis and computation
Phys. Rev. E 100, 022406 - Published 7 August 2019
Resilience in hierarchical fluid flow networks
Phys. Rev. E 99, 012321 - Published 25 January 2019
Microvscular networks with uniform flow [Corrected title: Microvascular networks with uniform flow]
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A parameter-free model comparison test using differential algebra
Complexity, Volume 2019, Article ID 6041981, 15 pages
Pluricomplex Green's functions and Fano manifolds
Épijournal Géom. Algébrique 3 (2019), Art. 9, 15 pp.
Period-index bounds for arithmetic threefolds
Invent. Math. 216 (2019), no. 2, 301-335.
Lacunary discrete spherical maximal functions
New York J. Math. 25 (2019), 541-557.
A 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
The relationship between the intrinsic Cech and persistence distortion distances for metric graphs
Journal of Applied and Computational Topology, 10(1), 477-499, 2019
Group actions on quiver varieties and applications
Internat. J. Math. 30 (2019), no. 2, 1950007, 46 pp
Bounded height in families of dynamical systems
Int. Math. Res. Not. IMRN 2019, no. 8, 2453-2482
Quasi-Mobius homeomorphisms of Morse boundaries
Bull. Lond. Math. Soc. 51 (2019), no. 3, 501-515
Weighted real Egyptian numbers
Funct. Approx. Comment. Math. 60 (2019), no. 2, 155-166
Modified Szegö-Widom asymptotics for block Toeplitz matrices with zero modes
J. Stat. Phys. 174 (2019), no. 1, 28-39
Linear Compartmental Models: Input-Output Equations and Operations That Preserve Identifiability.
SIAM J. Appl. Math. 79 (2019), no. 4, 1423-1447
A proof of a sumset conjecture of Erdős
Ann. of Math. (2) 189 (2019), no. 2, 605-652
Positive factorizations of symmetric mapping classes
J. Math. Soc. Japan 71 (2019), no. 1, 309-327
The generalized numerical range of a set of matrices
Linear Algebra Appl. 563 (2019), 24-46
The 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
Knotted surfaces in 4-manifolds by knot surgery and stabilization
Trans. Amer. Math. Soc. 371 (2019), no. 12, 8405-8427
Depth and regularity modulo a principal ideal
J. Algebraic Combin. 49 (2019), no. 1, 1-20
Restricted power domination and zero forcing problems
J. Comb. Optim. 37 (2019), no. 3, 935-956
Throttling positive semidefinite zero forcing propagation time on graphs
Discrete Appl. Math. 254 (2019), 33-46
Tropical geometry of genus two curves
J. Algebra 517 (2019), 457-512
Hypergraphs not containing a tight tree with a bounded trunk
SIAM J. Discrete Math. 33 (2019), no. 2, 862-873.
K-stability of cubic threefolds.
Duke Math. J. 168 (2019), no. 11, 2029-2073
Openness results for uniform K-stability
Math. Ann. 373 (2019), no. 3-4, 1529-1548
How ticks keep ticking in the adversity of host immune reactions
J. Math. Biol. 78 (2019), no. 5, 1331-1364
Persistence and spread of stage-structured populations in heterogeneous landscapes
J. Math. Biol. 78 (2019), no. 5, 1485-1527
Knots-quivers correspondence
Adv. Theor. Math. Phys. 23 (2019), no. 7, 1849-1902
Natural boundary and zero distribution of random polynomials in smooth domains
Comput. Methods Funct. Theory 19 (2019), no. 3, 401-410
Dyadic 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
Comparing dynamics: deep neural networks versus glassy systems
J. Stat. Mech. Theory Exp. 2019, no. 12, 124013, 15 pp.
2018
Equivariant Schubert calculus and jeu de taquin
Ann. Inst. Fourier (Grenoble) 68 (2018), no. 1, 275-318
Parametrized spectra, multiplicative Thom spectra and the twisted Umkehr map
Geom. Topol. 22 (2018), no. 7, 3761-3825
Quantum 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
The 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
Complex two-graphs
Houston J. Math. 44 (2018), no. 1, 283-300
The Bernardi process and torsor structures on spanning trees
Int. Math. Res. Not. IMRN 2018, no. 16, 5120-5147
Rigidity of frameworks on expanding spheres
SIAM J. Discrete Math. 32 (2018), no. 4, 2591-2611
Unique equilibrium states for Bonatti-Viana diffeomorphisms
Nonlinearity 31 (2018), no. 6, 2532-2570.
Isometric embedding via strongly symmetric positive systems
Asian J. Math. 22 (2018), no. 1, 1-40
Note on \(k\)-planar crossing numbers
Comput. Geom. 68 (2018), 2-6
On steady non-commutative crepant resolutions
J. Noncommut. Geom. 12 (2018), no. 2, 457-471
Almost sure invariance principle for random piecewise expanding maps
Nonlinearity 31 (2018), no. 5, 2252-2280
Adaptive time-stepping strategies for nonlinear stochastic systems
IMA J. Numer. Anal. 38 (2018), no. 3, 1523-1549
Nordhaus-Gaddum problems for power domination
Discrete Appl. Math. 251 (2018), 103-113
A discrete Carleson theorem along the primes with a restricted supremum
Math. Z. 289 (2018), no. 3-4, 1033-1057
One-bit compressive sensing of dictionary-sparse signals
Inf. Inference 7 (2018), no. 1, 83-104
Hyperbolic four-manifolds
Handbook of group actions. Vol. III, 37-58, Adv. Lect. Math. (ALM), 40, Int. Press, Somerville, MA, 2018
Constructions in Ramsey theory
J. Lond. Math. Soc. (2) 97 (2018), no. 2, 247-257
Bishellable drawings of \(K_n\)
SIAM J. Discrete Math. 32 (2018), no. 4, 2482-2492
Quantization 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
Lectures 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
Strong 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
Vanishing simplicial volume for certain affine manifolds
Proc. Amer. Math. Soc. 146 (2018), no. 3, 1287–1294
Patching and the \(p\)-adic Langlands program for \({\rm GL}_2(\Bbb Q_p)\)
Compos. Math. 154 (2018), no. 3, 503–548
Genera of Brill-Noether curves and staircase paths in Young tableaux
Trans. Amer. Math. Soc. 370 (2018), no. 5, 3405–3439
Poset edge densities, nearly reduced words, and barely set-valued tableaux
J. Combin. Theory Ser. A 158 (2018), 66–125
\(L({\Bbb R},\mu)\) is unique
Adv. Math. 324 (2018), 355–393
Edge contraction on dual ribbon graphs and 2{D} {TQFT}
J. Algebra 494 (2018), 1–27.
A computable functor from graphs to fields
J. Symb. Log. 83 (2018), no. 1, 326-348
Hilbert bases and lecture hall partitions
Ramanujan J. 47 (2018), no. 3, 509-531
The relationship between \(k\)-forcing and \(k\)-power domination
Discrete Math. 341 (2018), no. 6, 1789-1797
Proof 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
Applications 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
Cohen-Lenstra heuristics and local conditions
Res. Number Theory 4 (2018), no. 4, Art. 41, 22 pp
Instability of pulses in gradient reaction-diffusion systems: a symplectic approach
Philos. Trans. Roy. Soc. A 376 (2018), no. 2117, 20170187, 20 pp
Minimal transport networks with general boundary conditions
SIAM J. Appl. Math. 78 (2018), no. 3, 1511-1535
Representation stability for filtrations of Torelli groups
Math. Ann. 372 (2018), no. 1-2, 257-298
Margins of discrete Bayesian networks
Ann. Statist. 46 (2018), no. 6A, 2623-2656
Positivity of the diagonal
Adv. Math. 335 (2018), 664-695
Stability of periodic orbits in no-slip billiards
Nonlinearity 31 (2018), no. 10, 4443-4471
A \(C_2\)-equivariant analog of Mahowald's Thom spectrum theorem
Proc. Amer. Math. Soc. 146 (2018), no. 11, 5003-5012
Anderson and Gorenstein duality.
Geometric and topological aspects of the representation theory of finite groups, 105-130, Springer Proc. Math. Stat., 242, Springer, Cham, 2018
Embedding arithmetic hyperbolic manifolds
Math. Res. Lett. 25 (2018), no. 4, 1305-1328
Local arboreal representations
Int. Math. Res. Not. IMRN 2018, no. 19, 5974-5994
Distortion varieties
Found. Comput. Math. 18 (2018), no. 4, 1043-1071
Irreducibility of random polynomials
Exp. Math. 27 (2018), no. 4, 498-506
Primitive ideals of \(U(\mathfrak{sl}(\infty))\)
Bull. Lond. Math. Soc. 50 (2018), no. 3, 435-448
Unique equilibrium states for geodesic flows in nonpositive curvature
Geom. Funct. Anal. 28 (2018), no. 5, 1209-1259
Namba forcing, weak approximation, and guessing
J. Symb. Log. 83 (2018), no. 4, 1539-1565
Zeta functions of alternate mirror Calabi-Yau families
Israel J. Math. 228 (2018), no. 2, 665-705
The Galois action and cohomology of a relative homology group of Fermat Curves
J. Algebra 505 (2018), 33–69.
Remarks 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.
Truncated product representations for \(L\)-functions in the hyperelliptic ensemble
Mathematika 64 (2018), no. 1, 137–158.
Distribution of zeros for random Laurent rational functions
Comput. Methods Funct. Theory 18 (2018), no. 1, 143–157.
Primes and fields in stable motivic homotopy theory
Geom. Topol. 22 (2018), no. 4, 2187–2218
Four approaches to cohomology theories with reality. An alpine bouquet of algebraic topology, 139–156,
Contemp. Math., 708, Amer. Math. Soc., Providence, RI, 2018
Følner tilings for actions of amenable groups
Math. Ann. 371 (2018), no. 1-2, 663–683.
A spectral approach for quenched limit theorems for random expanding dynamical systems
Comm. Math. Phys. 360 (2018), no. 3, 1121–1187.
Hyperbolic Dehn filling in dimension four
Geom. Topol. 22 (2018), no. 3, 1647–1716. 57M50
On categories of admissible \((\frak{g}, \rm{sl}(2))\)-modules
Transform. Groups 23 (2018), no. 2, 463–489.
On the Lichnerowicz conjecture for CR manifolds with mixed signature
C. R. Math. Acad. Sci. Paris 356 (2018), no. 5, 532-537
Ordinal definable subsets of singular cardinals
Israel J. Math. 226 (2018), no. 2, 781-804
The eightfold way
J. Symb. Log. 83 (2018), no. 1, 349-371
Topological cyclic homology via the norm
Doc. Math. 23 (2018), 2101-2163
A 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.
A dynamical variant of the Pink-Zilber conjecture
Algebra Number Theory 12 (2018), no. 7, 1749-1771
A cholera epidemic model in a spatiotemporally heterogeneous environment
Journal of Mathematical Analysis and Applications, 468(12) (2018), no. 2, 893-912
A continuum of pure states in the Ising model on a halfplane
J. Stat. Phys. 172 (2018), no. 2, 611-626
Spectral gap estimates in mean field spin glasses
Comm. Math. Phys. 361 (2018), no. 1, 1-52
Abstract densities and ideals of sets.
Acta Arith. 185 (2018), no. 4, 301-313
On the existence of infinite-dimensional generalized Harish-Chandra modules
São Paulo J. Math. Sci. 12 (2018), no. 2, 290-294
Some multidimensional integrals in number theory and connections with the Painlevé V equation
J. Math. Phys. 59 (2018), no. 9, 091404, 14 pp
Notes on open book decompositions for Engel structures
Algebr. Geom. Topol. 18 (2018), no. 7, 4275-4303
Throttling for the game of Cops and Robbers on graphs
Discrete Math. 341 (2018), no. 9, 2418-2430
Calculating the homology and intersection form of a 4-manifold from a trisection diagram
Proc. Natl. Acad. Sci. USA 115 (2018), no. 43, 10869-10874
Computing trisections of 4-manifolds
Proc. Natl. Acad. Sci. USA 115 (2018), no. 43, 10901-10907
Full Szegő-type trace asymptotics for ergodic operators on large boxes
Comm. Math. Phys. 362 (2018), no. 3, 983-1005
Complex groups and root subgroup factorization
J. Lie Theory 28 (2018), no. 4, 1095-1118
Fredkin spin chain
Ludwig Faddeev memorial volume, 439-458, World Sci. Publ., Hackensack, NJ, 2018
On the origin of crystallinity: a lower bound for the regularity radius of Delone sets
Acta Crystallogr. Sect. A 74 (2018), no. 6, 616-629
Extensions of a theorem of Erdős on nonhamiltonian graphs
J. Graph Theory 89 (2018), no. 2, 176-193
Homogenization analysis of invasion dynamics in heterogeneous landscapes with differential bias and motility
J. Math. Biol. 77 (2018), no. 1, 27-54
Movement behaviour determines competitive outcome and spread rates in strongly heterogeneous landscapes
Theoretical Ecology September 2018, Volume 11, Issue 3, pp 351-365
Optimization 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
The 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
Group synchronization on grids
Math. Stat. Learn. 1 (2018), no. 3-4, 227-256
Estimation 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/
Vietoris-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
Homogenization techniques for population dynamics in strongly heterogeneous landscapes
J. Biol. Dyn. 12 (2018), no. 1, 171–193
Stability in the Erdős-Gallai theorem on cycles and paths, II
Discrete Math. 341 (2018), no. 5, 1253–1263
Families of graphs with maximum nullity equal to zero forcing number
Spec. Matrices 6 (2018), 56–67
Loops in \(\rm SL (2, \Bbb C)\) and root subgroup factorization
Random Matrices Theory Appl. 7 (2018), no. 3, 1850008, 26 pp
Classification of Engel knots
Math. Ann. 371 (2018), no. 1-2, 391–404
2017
Gauss composition for \(\Bbb P^1\), and the universal Jacobian of the Hurwitz space of double covers
J. Algebra 470 (2017), 320-352
Asymptotic Structure of Graphs with the Minimum Number of Triangles
Combin. Probab. Comput. 26 (2017), no. 1, 138-160.
Galois groups and cohomological functors
Trans. Amer. Math. Soc. 369 (2017), no. 4, 2697-2720
Quantum spectral curve for the Gromov-Witten theory of the complex projective line
J. Reine Angew. Math. 726 (2017), 267–289
On 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
Improved recovery guarantees for phase retrieval from coded diffraction patterns
Appl. Comput. Harmon. Anal. 42 (2017), no. 1, 37-64
Connectivity and irreducibility of algebraic varieties of finite unit norm tight frames
SIAM J. Appl. Algebra Geom. 1 (2017), no. 1, 38–72
Kantorovich duality for general transport costs and applications
J. Funct. Anal. 273 (2017), no. 11, 3327–3405
Exceptional and cosmetic surgeries on knots
Math. Ann. 367 (2017), no. 1-2, 581–62
On crossing numbers of complete tripartite and balanced complete multipartite graphs
J. Graph Theory 84 (2017), no. 4, 552–565
Turing degree spectra of differentially closed fields
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\(G\)-parking functions and tree inversions
Combinatorica 37 (2017), no. 2, 269–282
On the asymptotics of constrained exponential random graphs
J. Appl. Probab. 54 (2017), no. 1, 165–180
Brauer groups on K3 surfaces and arithmetic applications
Brauer groups and obstruction problems, 177–218,Progr. Math., 320, Birkhäuser/Springer, Cham, 2017
Unramified 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
Universal unramified cohomology of cubic fourfolds containing a plane
Brauer groups and obstruction problems, 29–55, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017
Classification theorems for operators preserving zeros in a strip
J. Anal. Math. 132 (2017), 177–215
The distribution of sandpile groups of random graphs
J. Amer. Math. Soc. 30 (2017), no. 4, 915–958
Stability of solitary-wave solutions of systems of dispersive equations
Appl. Math. Optim. 75 (2017), no. 1, 27–53
Teichmüller theory for conic surfaces
Geometry, analysis and probability, 127-164, Progr. Math., 310, Birkhäuser/Springer, Cham, 2017
Representation schemes and rigid maximal Cohen-Macaulay modules
Selecta Math. (N.S.) 23 (2017), no. 1, 1-14.
Membership in moment polytopes is in NP and coNP
SIAM J. Comput. 46 (2017), no. 3, 972–991
Total positivity in Markov structures
Ann. Statist. 45 (2017), no. 3, 1152–1184
Sparse univariate polynomials with many roots over finite fields
Finite Fields Appl. 46 (2017), 235–246
Rational points on K3 surfaces and derived equivalence
Brauer groups and obstruction problems, 87–113, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017
Exponential decay of reconstruction error from binary measurements of sparse signals
IEEE Trans. Inform. Theory 63 (2017), no. 6, 3368–3385
Stability of equilibria of randomly perturbed maps
Discrete Contin. Dyn. Syst. Ser. B 22 (2017), no. 2, 369–381
Fourientations and the Tutte polynomial
Res. Math. Sci. 4 (2017), 4:18
Breaking the coherence barrier: a new theory for compressed sensing
Forum Math. Sigma 5 (2017), e4, 84 p
Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples
Appl. Comput. Harmon. Anal. 42 (2017), no. 3, 508–535
On modeling and estimation for the relative risk and risk difference
J. Amer. Statist. Assoc. 112 (2017), no. 519,
The Alexander module, Seifert forms, and categorification
J. Topol. 10 (2017), no. 1, 22–100
Pseudospectra of the Schrödinger operator with a discontinuous complex potential
J. Spectr. Theory 7 (2017), no. 3, 659-697
Finite ramification for preimage fields of post-critically finite morphisms
Math. Res. Lett. 24 (2017), no. 6, 1633-1647
Hedgehogs are not colour blind
J. Comb. 8 (2017), no. 3, 475-485
Bigeodesics in First-Passage Percolation
Comm. Math. Phys. 349 (2017), no. 2, 753-776
Mean curvature flow of entire graphs evolving away from the heat flow
Proc. Amer. Math. Soc. 145 (2017), no. 2, 861-869
Origami, Affine Maps, and Complex Dynamics
Arnold Math. J. 3 (2017), no. 3, 365–395
The hyperbolicity of the sphere complex via surgery paths
J. Reine Angew. Math. 730 (2017), 135–161
Distinguished-root formulas for generalized Calabi-Yau hypersurfaces
Algebra Number Theory 11 (2017), no. 6, 1317–1356
An integral weight realization theorem for subset currents on free groups
Topology Proc. 50 (2017), 213–236
Exact Solution of the Classical Dimer Model on a Triangular Lattice: Monomer-Monomer Correlations
Comm. Math. Phys. 356 (2017), no. 2, 397–425
Modelling Wolbachia infection in a sex-structured mosquito population carrying West Nile virus
J. Math. Biol. 75 (2017), no. 3, 621–647
On cap sets and the group-theoretic approach to matrix multiplication
Discrete Anal. 2017, Paper No. 3, 27 pp
Note on von Neumann and Rényi entropies of a graph
Linear Algebra Appl. 521 (2017), 240–253
Asymptotic spectral analysis in colliding leaky quantum layers
J. Math. Anal. Appl. 446 (2017), no. 2, 1328–1355
Exact 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.
A discrete quadratic Carleson theorem on with \(\ell^2\) with a restricted supremum
Int. Math. Res. Not. IMRN 2017, no. 10, 3180–3208
Resonance in orbits of plane partitions and increasing tableaux
J. Combin. Theory Ser. A 148 (2017), 244–274
On volumes of quasi-arithmetic hyperbolic lattices
Selecta Math. (N.S.) 23 (2017), no. 4, 2849–2862
The CDE property for minuscule lattices
J. Combin. Theory Ser. A 152 (2017), 45–103
Braid moves in commutation classes of the symmetric group
European J. Combin. 62 (2017), 15–34
Stabilization of difference equations with noisy proportional feedback control
Discrete Contin. Dyn. Syst. Ser. B 22 (2017), no. 6, 2067–2088
On 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
Universal spaces for unramified Galois cohomology
Brauer groups and obstruction problems, 57–86, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017
Rational points on twisted K3 surfaces and derived equivalences
Brauer groups and obstruction problems, 13–28, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017.
Twisted derived equivalence for affine schemes
Brauer groups and obstruction problems, 7–12, Progr. Math., 320, Birkhäuser/Springer, Cham, 2017.
Non-abelian Cohen-Lenstra heuristics over function fields
Compos. Math. 153 (2017), no. 7, 1372–1390
Mass formulas for local Galois representations and quotient singularities II: Dualities and resolution of singularities
Algebra Number Theory 11 (2017), no. 4, 817–840
Off-diagonal hypergraph Ramsey numbers
J. Combin. Theory Ser. B 125 (2017), 168–177
Endomorphisms, train track maps, and fully irreducible monodromies
Groups Geom. Dyn. 11 (2017), no. 4, 1179–1200
McMullen polynomials and Lipschitz flows for free-by-cyclic groups
J. Eur. Math. Soc. (JEMS) 19 (2017), no. 11, 3253–3353
Square function estimates on layer potentials for higher-order elliptic equations
Math. Nachr. 290 (2017), no. 16, 2459–2511
Abelian \(n\)-division fields of elliptic curves and Brauer groups of product Kummer & abelian surfaces
Forum Math. Sigma 5 (2017), e26, 42 pp.
On tangent cones of Schubert varieties
Arnold Math. J. 3 (2017), no. 4, 451–482 14N15 (14M15)
On \(\ell\)-torsion in class groups of number fields
Algebra Number Theory 11 (2017), no. 8, 1739–1778
The expected jaggedness of order ideals
Forum Math. Sigma 5 (2017), e9, 27 pp
No-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
Fermionic modular categories and the 16-fold way
J. Math. Phys. 58 (2017), no. 4, 041704, 31 pp.
Universally Baire sets and generic absoluteness
J. Symb. Log. 82 (2017), no. 4, 1229–1251
The dynamical André-Oort conjecture: unicritical polynomials
Duke Math. J. 166 (2017), no. 1, 1–25.
The \(p\)-filter: multilayer false discovery rate control for grouped hypotheses
J. R. Stat. Soc. Ser. B. Stat. Methodol. 79 (2017), no. 4,
Restricted invertibility revisited
A journey through discrete mathematics, 657–691, Springer, Cham, 2017
The cardinality of the augmentation category of a Legendrian link
Math. Res. Lett. 24 (2017), no. 6, 1845-1874
Expected zeros of random orthogonal polynomials on the real line
Jaen J. Approx. 9 (2017), no. 1, 1-24
A reverse Gaussian correlation inequality by adding cones
Statist. Probab. Lett. 123 (2017), 84-87
A large arboreal Galois representation for a cubic postcritically finite polynomial
Res. Number Theory 3 (2017), Art. 29, 21 pp
De-biasing low-rank projection for matrix completion
Proc. SPIE 10394, Wavelets and Sparsity XVII, 1039417 (24 August 2017); doi: 10.1117/12.2275004
Using simulation-based optimization to guide allocations of surface and ground water resources for sgricultural water use
Proceedings of the 2017 South Carolina Water Resources Conference, Columbia Metropolitan Convention Center, Columbia, SC
General 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
Equidistribution of zeros of random polynomials
J. Approx. Theory 215 (2017), 106–117
Equivariant corks
Algebr. Geom. Topol. 17 (2017), no. 3, 1771–1783
The euclidean distance degree of orthogonally invariant matrix varieties
Israel J. Math. 221 (2017), no. 1, 291–316
Congruences and concurrent lines in multi-view geometry
Adv. in Appl. Math. 88 (2017), 62–91
The strong tree property and weak square
MLQ Math. Log. Q. 63 (2017), no. 1-2, 150–154
On minimal covolume hyperbolic lattices
Mathematics 2017, 5, 43; doi:10.3390/math5030043
Expected zeros of random orthogonal polynomials on the real line
Jaen Journal on Approximation 9(1):1-24, January 2017
Zero forcing propagation time on oriented graphs
Discrete Appl. Math. 224 (2017), 45–59
The enhanced principal rank characteristic sequence for Hermitian matrices
Electron. J. Linear Algebra 32 (2017), 58–75
Generalizations 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.
On the \(C^{1,1}\) regularity of geodesics in the space of Kähler metrics
Ann. PDE 3 (2017), no. 2, Art. 15, 12 pp.
Note on power propagation time and lower bounds for the power domination number
J. Comb. Optim. 34 (2017), no. 3, 736–741.
On the Form and Growth of Complex Crystals: The Case of Tsai-Type Clusters
Symmetry 2017, 9(9), 188
Gorenstein duality for real spectra
Algebr. Geom. Topol. 17 (2017), no. 6, 3547–3619
Polynomial 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
Persistence of Gaussian processes: non-summable correlations
Probab. Theory Related Fields 169 (2017), no. 3-4, 1007–1039
Ricci curvature bounds for weakly interacting Markov chains
Electron. J. Probab. Volume 22 (2017), paper no. 40, 23 pp
A 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
The Maslov index for Lagrangian pairs on \(R^{2n}\)
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Height bounds for algebraic numbers satisfying splitting conditions
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Energy integrals and small points for the Arakelov height
Arch. Math. (Basel) 109 (2017), no. 5, 441-454
Reaction-diffusion on metric graphs: from 3D to 1D
Comput. Math. Appl. 73 (2017), no. 9, 2035-2052
Building sustainable decision tools for a sustainable environment
SIAM News, Research April 03, 2017
2016
Optical knots and contact geometry II. From Ranada dyons to transverse and cosmetic knots
Ann. Physics 371 (2016), 77-124
Tight contact structures on the Brieskorn spheres \(-\Sigma(2,3,6n-1)\) and contact invariants
J. Reine Angew. Math. 718 (2016), 1-24
A 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
Quadratic 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
Moduli of generalized line bundles on a ribbon
J. Pure Appl. Algebra 220 (2016), no. 2, 822-844
Dynamics 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
Quasisymmetric dimension distortion of Ahlfors regular subsets of a metric space
Geom. Funct. Anal. 26 (2016), no. 2, 379-421.
Diophantine approximations and directional discrepancy of rotated lattices
Trans. Amer. Math. Soc. 368 (2016), no. 6, 3871–3897
Dynamics 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
Statistics for ordinary Artin-Schreier covers and other p-rank strata
Trans. Amer. Math. Soc. 368 (2016), no. 4, 2371-2413
Quantitative Darboux theorems in contact geometry
Trans. Amer. Math. Soc. 368 (2016), no. 11, 7845-7881
Rank-finiteness for modular categories
J. Amer. Math. Soc. 29 (2016), no. 3, 857-881
Intransitive dice
Math. Mag. 89 (2016), no. 2, 133-143
Affine permutations and rational slope parking functions
Trans. Amer. Math. Soc. 368 (2016), no. 12, 8403-8445
Modeling an augmented Lagrangian for blackbox constrained optimization
Technometrics 58 (2016), no. 1, 1-11
Hypersurfaces quartiques de dimension 3: non-rationalité stable
Ann. Sci. Éc. Norm. Supér. (4) 49 (2016), no. 2, 371-397
Symbolic Powers of Monomial Ideals
Proc. Edinb. Math. Soc. (2) 60 (2016), no. 1, 39-55
On the cohomology of linear groups over imaginary quadratic fields
J. Pure Appl. Algebra 220 (2016), no. 7, 2564-2589
Moriwaki divisors and the augmented base loci of divisors on the moduli space of curves
Michigan Math. J. 65 (2016), no. 3, 533-546
Sign 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
Rainbow arithmetic progressions
J. Comb. 7 (2016), no. 4, 595-626
Asymptotic quantization of exponential random graphs
Ann. Appl. Probab. 26 (2016), no. 6, 3251-3285
Abelian networks I. Foundations and examples
SIAM J. Discrete Math. 30 (2016), no. 2, 856-874
Variational Bayes model averaging for graphon functions and motif frequencies inference in W-graph models
Stat. Comput. 26 (2016), no. 6, 1173-1185
A strong restricted isometry property, with an application to phaseless compressed sensing
Appl. Comput. Harmon. Anal. 40 (2016), no. 2, 386-395
Ends of the moduli space of Higgs bundles
Duke Math. J. 165 (2016), no. 12, 2227-2271
Volume and homology growth of aspherical manifolds
Geom. Topol. 20 (2016), no. 2, 1035-1059
Distance two links
Geom. Dedicata 180 (2016), 17-37
A relative Grace theorem for complex polynomials
Math. Proc. Cambridge Philos. Soc. 161 (2016), no. 1, 17-30
Fields on the bottom
J. Théor. Nombres Bordeaux 28 (2016), no. 1, 213-219
A global Nullstellensatz for ideals of Denjoy-Carleman functions
Proc. Amer. Math. Soc. 144 (2016), no. 5, 2067-2071
Intermediate sums on polyhedra II: bidegree and Poisson formula
Mathematika 62 (2016), no. 3, 653-684
Patching and the \(p\)-adic local Langlands correspondence
Camb. J. Math. 4 (2016), no. 2, 197–28
Image reconstruction from undersampled Fourier data using the polynomial annihilation transform
J. Sci. Comput. 67 (2016), no. 2, 432-452
Disjoint edges in topological graphs and the tangled-thrackle conjecture
Graph drawing (2016) 284-293
Counting rational points on the Cayley ruled cubic
Eur. J. Math. 2 (2016), no. 1, 55-72
Failures of weak approximation in families
Compos. Math. 152 (2016), no. 7, 1435-1475
Counting rational points on smooth cubic surfaces
Math. Res. Lett. 23 (2016), no. 1, 127-143
Sobolev inequalities and the d-Neumann operator
J. Geom. Anal. 26 (2016), no. 1, 287-293.
On the number of generators of ideals in polynomial rings
Ann. of Math. (2) 184 (2016), no. 1, 315-33
Approximate polynomial structure in additively large sets
Integers 16 (2016), Paper No. A49, 11 pp
Knots, BPS states, and algebraic curves
Comm. Math. Phys. 346 (2016), no. 1, 75-113
Representations of integers by systems of three quadratic forms
Proc. Lond. Math. Soc. (3) 113 (2016), no. 3, 289-344
Critical exponents of graphs
J. Combin. Theory Ser. A 139 (2016), 30-58.
Inertia of Loewner matrices
Indiana Univ. Math. J. 65 (2016), no. 4, 1251-1261.
Algebraic systems biology: a case study for the Wnt pathway
Bull. Math. Biol. 78 (2016), no. 1, 21-51
The distribution of \(\Bbb{F}_q\)-points on cyclic \(\ell\)-covers of genus \(g\)
Int. Math. Res. Not. IMRN 2016, no. 14, 4297-4340
Loops in \(\rm SU(2)\), Riemann surfaces, and factorization, I
SIGMA Symmetry Integrability Geom. Methods Appl. 12 (2016), Paper No. 025, 29 pp
A monad measure space for logarithmic density
Monatsh. Math. 181 (2016), no. 3, 577-599
Small-data shock formation in solutions to 3D quasilinear wave equations: an overview
J. Hyperbolic Differ. Equ. 13 (2016), no. 1, 1-105
Unique equilibrium states for flows and homeomorphisms with non-uniform structure
Adv. Math. 303 (2016), 745-799
The Morse and Maslov indices for multidimensional Schrödinger operators with matrix-valued potentials
Trans. Amer. Math. Soc. 368 (2016), no. 11, 8145-8207
An inequality for tensor product of positive operators and its applications
Linear Algebra Appl. 498 (2016), 99-105
High density piecewise syndeticity of product sets in amenable groups
J. Symb. Log. 81 (2016), no. 4, 1555-1562
On the classification of weakly integral modular categories
J. Pure Appl. Algebra 220 (2016), no. 6, 2364-238
\(L^p\) mapping properties of the Bergman projection on the Hartogs triangle
Proc. Amer. Math. Soc. 144 (2016), no. 4, 1643-1653
The 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
Brieskorn manifolds, positive Sasakian geometry, and contact topology
Forum Math. 28 (2016), no. 5, 943-965
Proof of Stembridge's conjecture on stability of Kronecker coefficients
J. Algebraic Combin. 43 (2016), no. 1, 1-10.
Short intervals with a given number of primes
J. Number Theory 163 (2016), 159-171
Limit points and long gaps between primes
Q. J. Math. 67 (2016), no. 2, 233-260
Detecting Fourier subspaces
J. Fourier Anal. Appl. 22 (2016), no. 4, 878-886
Causal inference with a graphical hierarchy of interventions
Ann. Statist. 44 (2016), no. 6, 2433-2466
A note on small gaps between primes in arithmetic progressions
Acta Arith. 172 (2016), no. 4, 351-375
Noncrossing partitions, toggles, and homomesies
Electron. J. Combin. 23 (2016), no. 3, Paper 3.52, 26 pp
Shock 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
Matrix positivity preservers in fixed dimension. I
Adv. Math. 298 (2016), 325–368.
Equiconsistencies at subcompact cardinals
Arch. Math. Logic 55 (2016), no. 1-2, 207-238.
Stochastic dynamics: Markov chains and random transformations
Discrete Contin. Dyn. Syst. Ser. B 21 (2016), no. 7, 2337-2361
Sequencing BPS spectra
High Energy Phys. 2016, no. 3, 004, front matter+160 pp
Hypergraph Ramsey numbers: tight cycles versus cliques
Bull. Lond. Math. Soc. 48 (2016), no. 1, 127-134
Ramsey numbers of cubes versus cliques
Combinatorica 36 (2016), no. 1, 37-70
Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients
Manuscripta Math. 151 (2016), no. 3-4, 375-418
A case of the dynamical Andre-Oort conjecture
Int. Math. Res. Not. IMRN 2016, no. 3, 738-758
Serre's problem on the density of isotropic fibres in conic bundles
Proc. Lond. Math. Soc. (3) 113 (2016), no. 2, 261-288
On convergence of solutions to difference equations with additive perturbations
Difference Equ. Appl. 22 (2016), no. 7, 878-903
Stabilisation of difference equations with noisy prediction-based control
Phys. D 326 (2016), 21-31
Stochastic difference equations with the Allee effect
Discrete Contin. Dyn. Syst. 36 (2016), no. 11, 5929-5949
Stochastic stability analysis of a reduced galactic dynamo model with perturbed \(\alpha\)-effect
Phys. A 457 (2016), 480-49
Hyperbolic 4-manifolds, colourings and mutations
Proc. Lond. Math. Soc.(3) 113 (2016), no. 2, 163-184
On commensurable hyperbolic Coxeter groups
Geom. Dedicata 183 (2016), 143-167
On a trilinear singular integral form with determinantal kernel
Proc. Amer. Math. Soc. 144 (2016), no. 8, 3465-3477
Rudnick and Soundararajan's theorem for function fields
Finite Fields Appl. 37 (2016), 311-327
On 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.
Quantum mock modular forms arising from eta-theta functions
Res. Number Theory 2 (2016), Art. 14, 41 pp
Generalised cosine functions, basis and regularity properties
J. Math. Anal. Appl. 444 (2016), no. 1, 25-46
Toward GIT stability of syzygies of canonical curves
Algebr. Geom. 3 (2016), no. 1, 1-22
Nielsen equivalence in a class of random groups
J. Topol. 9 (2016), no. 2, 502-534
Conical limit points and the Cannon-Thurston map
Conform. Geom. Dyn. 20 (2016), 58-80
On purely loxodromic actions
Monatsh. Math. 181 (2016), no. 1, 89-101
Cannon-Thurston maps for hyperbolic free group extensions
Israel J. Math. 216 (2016), no. 2, 753-797
Ergodic currents dual to a real tree
Ergodic Theory Dynam. Systems 36 (2016), no. 3, 745-766
BPS counting for knots and combinatorics on words
J. High Energy Phys. 2016, no. 11, 120, front matter+38 pp
Using Mathematics at AIM to Outwit Mosquitoes
March 2016, Notices of the AMS. Volume 63, number 3, 292-293
A local curvature estimate for the Ricci flow
J. Funct. Anal. 271 (2016), no. 9, 2604–2630
Sufficient 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
Rank 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
Asymptotics for number fields and class groups
Directions in number theory, 291–339, Assoc. Women Math. Ser., 3, Springer, Cham, 2016
Inner model theoretic geology
J. Symb. Log. 81 (2016), no. 3
A case of the dynamical André-Oort conjecture
Int. Math. Res. Not. IMRN 2016, no. 3, 738–758
Coincidences of homological densities, predicted by arithmetic
2016, Semantic Scholar
Signatures 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
On the distance spectra of graphs
Linear Algebra Appl. 497 (2016), 66-87
Using 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
Expected number of real zeros for random linear combinations of orthogonal polynomials
Proc. Amer. Math. Soc. 144 (2016), no. 4, 1631–1642
Towards 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
Theoretical predictions of metabolic flow regulation in the retina
Journal for Modeling in Ophthalmology, Vol 1, No 2 (2016), 70-78
Mathematical 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
Computer-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
Fractional zero forcing via three-color forcing games
Discrete Appl. Math. 213 (2016), 114–129.
Asymptotic 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
Galois action on the homology of Fermat curve
Directions in number theory, 57-86, Assoc. Women Math. Ser., 3, Springer, [Cham], 2016
Interpreting the Bökstedt smash product as the norm
Proc. Amer. Math. Soc. 144 (2016), no. 12, 5419-5433.
Inverse scattering transform for the defocusing nonlinear Schrödinger equation with fully asymmetric non-zero boundary conditions
Phys. D 333 (2016), 117-136
Relative Manin-Mumford for semi-Abelian surfaces
Proc. Edinb. Math. Soc. (2) 59 (2016), no. 4, 837-875
Pair correlation and twin primes revisited
Proc. A. 472 (2016), no. 2194, 20160548, 11 pp
Moments of zeta and correlations of divisor-sums: IV
Res. Number Theory 2 (2016), Art. 24, 24 pp
Development 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
2015
Cosmetic surgeries on knots in \(S^3\)
J. Reine Angew. Math. 706 (2015), 1-17
On the character degrees of Sylow \(p\)-subgroups of Chevalley groups \(G(p^f)\) of type \(E\)
Forum Math. 27 (2015), no. 1, 1-55
Logic circuits from zero forcing
Nat. Comput. 14 (2015), no. 3, 485-490
Finitely many smooth d-polytopes with n lattice points
Israel J. Math. 207 (2015), no. 1, 301-329.
Linear embeddings of graphs and graph limits
J. Combin. Theory Ser. B 113 (2015), 162-184
Duflo'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
The highest lowest zero of general L-functions
J. Number Theory 147 (2015), 364-373
Splitting varieties for triple Massey products
J. Pure Appl. Algebra 219 (2015), no. 5, 1304-1319.
Persistence and stability properties of powers of ideals
J. Pure Appl. Algebra 219 (2015), no. 3, 530-542
Semiample Bertini theorems over finite fields
Duke Math. J. 164 (2015), no. 1, 1-38
Discrete components in restriction of unitary representations of rank one semisimple Lie groups
J. Funct. Anal. 269 (2015), no. 12, 3689-3713
Discriminants in the Grothendieck ring
Duke Math. J. 164 (2015), no. 6, 1139-1185
Sperner's theorem and a problem of Erdős, Katona and Kleitman
Combin. Probab. Comput. 24 (2015), no. 4, 585-608
Indecomposable \(F_N\)-trees and minimal laminations
Groups Geom. Dyn. 9 (2015), no. 2, 567-597
Cyclic extensions of fusion categories via the Brauer-Picard groupoid
Quantum Topol. 6 (2015), no. 2, 313-331
Constructing spoke subfactors using the jellyfish algorithm
Trans. Amer. Math. Soc. 367 (2015), no. 5, 3257-3298
Phase transitions and equilibrium measures in random matrix models
Comm. Math. Phys. 333 (2015), no. 3, 1109-1173
Strong asymptotics of the orthogonal polynomials with respect to a measure supported on the plane
Comm. Pure Appl. Math. 68 (2015), no. 1, 112-172
Cheeger constants and \(L^2\)-Betti numbers
Duke Math. J. 164 (2015), no. 3, 569-615
The index of a threefold canonical singularity
Amer. J. Math. 137 (2015), no. 1, 271-280
Symmetries and stabilization for sheaves of vanishing cycles
With an appendix by Jörg Schürmann. J. Singul. 11 (2015), 85-151
On a Sumset Conjecture of Erdős
Canad. J. Math. 67 (2015), no. 4, 795-809
The discriminant and oscillation lengths for contact and Legendrian isotopies
J. Eur. Math. Soc. (JEMS) 17 (2015), no. 7, 1657-1685
High density piecewise syndeticity of sumsets
Adv. Math. 278 (2015), 1-33
All order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials
Quantum Topol. 6 (2015), no. 1, 39-138
Abstract loop equations, topological recursion and new applications
Commun. Number Theory Phys. 9 (2015), no. 1, 51-187
Computation 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
Path cover number, maximum nullity, and zero forcing number of oriented graphs and other simple digraphs
Involve 8 (2015), no. 1, 147-167
Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves
Camb. J. Math. 3 (2015), no. 3, 275-321
A classical model for derived critical loci
J. Differential Geom. 101 (2015), no. 2, 289-367
Purity for graded potentials and quantum cluster positivity
Compos. Math. 151 (2015), no. 10, 1913-1944
A 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
Microlocal analysis in tomography
Handbook of mathematical methods in imaging. Vol. 1, 2, 3, 847-902, Springer, New York, 2015
Parameter identifiability of discrete Bayesian networks with hidden variables
J. Causal Inference 3 (2015), no. 2, 189-205
Discrete branching laws for minimal holomorphic representations
J. Lie Theory 25 (2015), no. 4, 949-983
Unirational threefolds with no universal codimension 2 cycle
Invent. Math. 201 (2015), no. 1, 207-237
Componentwise regularity (I)
J. Pure Appl. Algebra 219 (2015), no. 1, 175-182
An algorithm to detect full irreducibility by bounding the volume of periodic free factors
Michigan Math. J. 64 (2015), no. 2, 279-292
A global convergence result for processive multisite phosphorylation systems
Bull. Math. Biol. 77 (2015), no. 1, 126-155
Interface problems for dispersive equations
Stud. Appl. Math. 134 (2015), no. 3, 253-275
Sandpiles, spanning trees, and plane duality
SIAM J. Discrete Math. 29 (2015), no. 1, 461-471
Threshold state and a conjecture of Poghosyan, Poghosyan, Priezzhev and Ruelle
Comm. Math. Phys. 335 (2015), no. 2, 1003-1017
Computing Néron-Severi groups and cycle class groups
Compos. Math. 151 (2015), no. 4, 713-734
Chip-firing and energy minimization on M-matrices
J. Combin. Theory Ser. A 132 (2015), 14-31
The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients
Math. Ann. 361 (2015), no. 3-4, 863-907
Representing Scott sets in algebraic settings
Arch. Math. Logic 54 (2015), no. 5-6, 631-637
Ruling polynomials and augmentations over finite fields
J. Topol. 8 (2015), no. 1, 1-37
A heuristic for the distribution of point counts for random curves over finite field
Philos. Trans. A 373 (2015), no. 2040, 20140310, 12 pp
s-lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones
Ramanujan J. 36 (2015), no. 1-2, 123-147
On a Cohen-Lenstra heuristic for Jacobians of random graphs
J. Algebraic Combin. 42 (2015), no. 3, 701-723
Descente 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
Bounding 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
On rational connectedness of globally F-regular threefolds
Adv. Math. 280 (2015), 47-78
Frame potentials and the geometry of frames
J. Fourier Anal. Appl. 21 (2015), no. 6, 1344-1383
Rotor-routing and spanning trees on planar graphs
Int. Math. Res. Not. IMRN 2015, no. 11, 3225-3244
Equivalence classes of augmentations and Morse complex sequences of Legendrian knots
Algebr. Geom. Topol. 15 (2015), no. 6, 3323-3353
Lyapunov functions, stationary distributions, and non-equilibrium potential for reaction networks
Bull. Math. Biol. 77 (2015), no. 9, 1744-1767
Lagrangian cobordisms via generating families: construction and geography
Algebr. Geom. Topol. 15 (2015), no. 4, 2439-2477
Coefficients of Sylvester's denumerant
Integers 15 (2015), Paper No. A11, 32 pp
Asymptotics of determinants of Hankel matrices via non-linear difference equations
J. Approx. Theory 198 (2015), 63-110
Finite-horizon parameterizing manifolds, and applications to suboptimal control of nonlinear parabolic PDEs
Acta Appl. Math. 135 (2015), 81-144
Approximate tensorization of entropy at high temperature
Ann. Fac. Sci. Toulouse Math. (6) 24 (2015), no. 4, 691-716
An algebraic characterization of injectivity in phase retrieval
Appl. Comput. Harmon. Anal. 38 (2015), no. 2, 346–356
The 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
Adaptive Wick-Malliavin approximation to nonlinear SPDEs with discrete random variables
SIAM J. Sci. Comput. 37 (2015), no. 4, A1872–A1890
Lectures 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
Generalized sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients
Math. Comp. 84 (2015), no. 291, 237-270
Recovering from selection bias using marginal structure in discrete models
Published in ACI@UAI 2015
A decision making framework with MODFLOW-FMP2 via optimization: Determining trade-offs in crop selection
Environmental Modelling & Software Volume 69, July 2015, Pages 280-291
Bounded gaps between primes in number fields and function fields
Proc. Amer. Math. Soc. 143 (2015), no. 7, 2841-2856
Moments of zeta functions associated to hyperelliptic curves over finite fields
Philos. Trans. A 373 (2015), no. 2040, 20140307, 37 pp
Arithmetic functions at consecutive shifted primes
Int J. Number Theory 11 (2015), no. 5, 1477-1498
Intersection multiplicity of Serre in the unramified case
J. Algebra 428 (2015), 91-121
Windings of the stable Kolmogorov process
ALEA Lat. Am. J. Probab. Math. Stat. 12 (2015), no. 1, 115-127
Dualité 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
Anchored boundary conditions for locally isostatic networks
Phys. Rev. E 92, 053306 – Published 30 November 2015
Moments of zeta and correlations of divisor-sums: I
Philos. Trans. Roy. Soc. A 373 (2015), no. 2040, 20140313, 11 pp
Moments 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
Moments of zeta and correlations of divisor-sums: III
Indag. Math. (N.S.) 26 (2015), no. 5, 736-747
\(R\)-equivalence and \(\Bbb A^1\)-connectedness in anisotropic groups
Int. Math. Res. Not. IMRN 2015, no. 22, 11816–11827
Sequential design for achieving estimated accuracy of global sensitivities
Appl. Stoch. Models Bus. Ind. 31 (2015), no. 6, 782–800
Optimization under constraints by applying an asymmetric entropy measure
J. Comput. Graph. Statist. 24 (2015), no. 2, 379–393
The mesh adaptive direct search algorithm with treed Gaussian process surrogates
Pac. J. Optim. 11 (2015), no. 3, 419–447
Fourier 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
Image reconstruction from Fourier data using sparsity of edges
J. Sci. Comput. 65 (2015), no. 2, 533–552
Segregated graphs and marginals of chain graph models
Part of: Advances in Neural Information Processing Systems 28 (NIPS 2015), Neural Information Processing Systems Foundation, Inc.
Missing 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.
Stabilisation of the LHS spectral sequence for algebraic groups
J. Lie Theory 25 (2015), no. 3, 807-813
Mass formulas for local Galois representations and quotient singularities. I: a comparison of counting functions
Int. Math. Res. Not. IMRN 2015, no. 23, 12590-12619
Cannon-Thurston fibers for iwip automorphisms of \(F_N\)
J. Lond. Math. Soc. (2) 91 (2015), no. 1, 203-224
A train track directed random walk on \({\rm Out}(F_r)\)
Internat. J. Algebra Comput. 25 (2015), no. 5, 745-798
Patterson-Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for outer space
Pacific J. Math. 277 (2015), no. 2, 371-398
Dynamics on free-by-cyclic groups
Geom. Topol. 19 (2015), no. 5, 2801-2899
Intermittent 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 https://doi.org/10.1007/978-1-4939-2782-1_9 Conference proceedings ?? 2015
A theoretical investigation of the increase in venous oxygen saturation levels in glaucoma patients
Investigative Ophthalmology & Visual Science June 2015, Vol.56, 2739. doi:
Theoretical 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
Finite hypergeometric functions
Pure Appl. Math. Q. 11 (2015), no. 4, 559–589.
2014
Pair correlation of the zeros of the derivative of the Riemann \(\xi\)-function
J. Lond. Math. Soc. (2) 90 (2014), no. 1, 241-269
\(n\)-level density of the low-lying zeros of quadratic Dirichlet \(L\)-functions
Int. Math. Res. Not. IMRN 2014, no. 6, 1699–1728
Large scale geometry of negatively curved \(\Bbb{R}^n\rtimes\Bbb{R}\)
Geom. Topol. 18 (2014), no. 2, 831-872
Parametrization of ideal classes in rings associated to binary forms
J. Reine Angew. Math. 689 (2014), 169-199
A new way to analyze paired comparison rules
Math. Oper. Res. 39 (2014), no. 3, 647-655
Homological actions on sutured Floer homology
Math. Res. Lett. 21 (2014), no. 5, 1177-1197
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R-equivalence on low degree complete intersections
J. Algebraic Geom. 21 (2012), no. 4, 707-719
On the graph complement conjecture for minimum rank
Linear Algebra Appl. 436 (2012), no. 12, 4373-4391
Certified numerical homotopy tracking
Exp. Math. 21 (2012), no. 1, 69-83
An algebraic approach to the radius of comparison
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Freeness and multirestriction of hyperplane arrangements
Compos. Math. 148 (2012), no. 3, 799-806
Restrictions of representations of classical groups: examples
Sur les conjectures de Gross et Prasad. I. Astérisque No. 346 (2012), 111-170.
Symplectic local root numbers, central critical L values, and restriction problems in the representation theory of classical groups
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Cabling, contact structures and mapping class monoids
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On the topology of the double spherical pendulum
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Patch ideals and Peterson varieties
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Mock modular forms as p-adic modular forms
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\(\ell\)-adic properties of the partition function
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Expansions of k-Schur functions in the affine nilCoxeter algebra
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Note on positive semidefinite maximum nullity and positive semidefinite zero forcing number of partial 2-trees
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Propagation time for zero forcing on a graph
Discrete Appl. Math. 160 (2012), no. 13-14, 1994-2005.
Discriminants, symmetrized graph monomials, and sums of squares
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The distribution of the number of points on trigonal curves over \(\Bbb F_q\)
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A problem of Klee on inner section functions of convex bodies
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Detaching embedded points
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Half-trek criterion for generic identifiability of linear structural equation models
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The Hilbert series of N=1SO(Nc) and Sp(Nc) SQCD, Painlevé VI and integrable systems
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Asymptotic improvements to the lower bound of certain bipartite Turán numbers
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Exact solution of the six-vertex model with domain wall boundary conditions: critical line between disordered and antiferroelectric phases
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The Beilinson-Drinfeld Grassmannian and symplectic knot homology
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Arithmetic harmonic analysis on character and quiver varieties
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On the number of rational iterated preimages of the origin under quadratic dynamical systems
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Redundancy for localized frames
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Connections between Floer-type invariants and Morse-type invariants of Legendrian knots
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Thurston norm and cosmetic surgeries
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Dehn surgeries on knots in product manifolds
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The structure of surfaces and threefolds mapping to the moduli stack of canonically polarized varieties
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Additive invariants on quantum channels and regularized minimum entropy
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Gale duality and Koszul duality
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Multivariate Pólya-Schur classification problems in the Weyl algebra
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Mass equidistribution for Hecke eigenforms
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Legendrian helix and cable links
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Minimum rank problems
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The solvability problem for quadratic equations over free groups is NP-complete
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Glauber 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
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Invent. Math. 180 (2010), no. 1, 111-159
Coherent sheaves and categorical sl2 actions
Duke Math. J. 154 (2010), no. 1, 135-179
Minimum rank of skew-symmetric matrices described by a graph
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Large deviations of empirical measures of zeros of random polynomials
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Isometric immersions and compensated compactness
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Weak continuity of the Gauss-Codazzi-Ricci system for isometric embedding
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On the ranks and border ranks of symmetric tensors
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Positivity and optimization for semi-algebraic functions
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Boundedness of families of canonically polarized manifolds: a higher dimensional analogue of Shafarevich's conjecture
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Planar open books, monodromy factorizations and symplectic fillings
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Contact spheres and hyperkähler geometry
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Moments of the Riemann zeta function
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A definition of the crystal commutor using Kashiwara's involution
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Elliptic curves of odd modular degree
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The Caccetta-Häggkvist conjecture and additive number theory
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Higher topos theory
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From tenure-track to emeritus. American Mathematical Society, Providence, RI, 2009. xvi+310 pp.
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Congruence for rational points over finite fields and coniveau over local fields
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Regularization by free additive convolution, square and rectangular cases
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The inverse inertia problem for graphs: cut vertices, trees, and a counterexample
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An ontology of directional regularity implying joint regularity
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On the minimum rank of not necessarily symmetric matrices: a preliminary study
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Universally optimal matrices and field independence of the minimum rank of a graph
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Determinant computations for some classes of Toeplitz-Hankel matrices
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Two applications of twisted Floer homology
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The String bordism of \(BE_8\) and \(BE_8 \times BE_8\) through dimension 14
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Pólya-Schur master theorems for circular domains and their boundaries
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Negative dependence and the geometry of polynomials
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The 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
Cohomogeneity one disk bundles with normal homogeneous collars
Proc. Lond. Math. Soc. (3) 99 (2009), no. 3, 609-632
Homogeneous metrics with nonnegative curvature
J. Geom. Anal. 19 (2009), no. 4, 929-943
A duality exact sequence for Legendrian contact homology
Duke Math. J. 150 (2009), no. 1, 1-75
Palindromic random trigonometric polynomials
Proc. Amer. Math. Soc. 137 (2009), no. 5, 1835-1839
A rank inequality for the Tate conjecture over global function fields
Expo. Math. 27 (2009), no. 2, 93-108
On the distribution of imaginary parts of zeros of the Riemann zeta function. II
Math. Ann. 343 (2009), no. 3, 487-505
Finitude homotopique et isotopique des structures de contact tendues
Publ. Math. Inst. Hautes Études Sci. No. 109 (2009), 245-293
Sign patterns that require eventual positivity or require eventual nonnegativity
Electron. J. Linear Algebra 19 (2009), 98-107
On isoperimetric profiles of algebras
J. Algebra 322 (2009), no. 1, 177-209
Critical percolation of virtually free groups and other tree-like graphs
Ann. Probab. 37 (2009), no. 6, 2262-2296
On 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
Projective background of the infinitesimal rigidity of frameworks
Geom. Dedicata 140 (2009), 183-203
Generating potentially nilpotent full sign patterns
Electron. J. Linear Algebra 18 (2009), 162-175
On the classification of topological field theories
Current developments in mathematics, 2008, 129-280, Int. Press, Somerville, MA, 2009
Rigidity of the Mori cone for Fano manifolds
Bull. Lond. Math. Soc. 41 (2009), no. 5, 779-781
Allow problems concerning spectral properties of sign pattern matrices: a survey
Linear Algebra Appl. 430 (2009), no. 11-12, 3080-3094
Sign patterns that allow eventual positivity
Electron. J. Linear Algebra 19 (2009), 108-120
Uniform bounds on pre-images under quadratic dynamical systems
Math. Res. Lett. 16 (2009), no. 1, 87-101
Minimal triangulations for an infinite family of lens spaces
J. Topol. 2 (2009), no. 1, 157-180
A non-solvable Galois extension of \(\Bbb Q\) at 2 only
C. R. Math. Acad. Sci. Paris 347 (2009), no. 3-4, 111-116
Posets of annular non-crossing partitions of types B and D
Discrete Math. 309 (2009), no. 6, 1443-1466
On Fk-like groups
Algebra Logika 48 (2009), no. 2, 245-257, 284, 286-287; translation in Algebra Logic 48 (2009), no. 2, 140-146
New examples of finitely presented groups with strong fixed point properties
J. Topol. Anal. 1 (2009), no. 1, 1-12
On spinor varieties and their secants
SIGMA Symmetry Integrability Geom. Methods Appl. 5 (2009), Paper 078, 22 pp
Global 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
Optimization of 3D Plasmonic Crystal Structures for Refractive Index Sensing
J. Phys. Chem. C 2009, 113, 10493-10499
Revisiting the Bourgain-Tzafriri restricted invertibility theorem
Oper. Matrices 3 (2009), no. 1, 97-110
Paths 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
Eventually cyclic matrices and a test for strong eventual nonnegativity
Electron. J. Linear Algebra 19 (2009), 129-140
2008
An explicit formula for Hecke \(L\)-functions
Integers 8 (2008), no. 2, A8, 18 pp.
The zeros of random polynomials cluster uniformly near the unit circle
Compos. Math. 144 (2008), no. 3, 734-746.
Framed knot contact homology
Duke Math. J. 141 (2008), no. 2, 365-406.
Converse theorems assuming a partial Euler product
Ramanujan J. 15 (2008), no. 2, 205-218.
Approximating reals by sums of two rationals
J. Number Theory 128 (2008), no. 5, 1182-1194.
The \(K\)-theory of abelian symplectic quotients
Math. Res. Lett. 15 (2008), no. 1, 57-72.
Large gaps between the zeros of the Riemann zeta function
J. Number Theory 128 (2008), no. 3, 509-556.
A smoothed GPY sieve
Bull. Lond. Math. Soc. 40 (2008), no. 2, 298-310.
Shellability and higher Cohen-Macaulay connectivity of generalized cluster complexes
Israel J. Math. 167 (2008), 177-191.
Orbifold cohomology of hypertoric varieties
Internat J. Math. 19 (2008), no. 8, 927-956.
Large annihilators in Cayley-Dickson algebras
Comm. Algebra 36 (2008), no. 2, 632-664.
The Carathéodory and Kobayashi metrics and applications in complex analysis
Amer. Math. Monthly 115 (2008), no. 4, 304-329.
On exceptional eigenvalues of the Laplacian for \(\Gamma_ 0(N)\)
Proc. Amer. Math. Soc. 136 (2008), no. 6, 1945-1953.
Ehrhart 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.
Triple correlation of the Riemann zeros
J. Théor. Nombres Bordeaux 20 (2008), no. 1, 61-106.
Moduli spaces of self-dual connections over asymptotically locally flat gravitational instantons
Comm. Math. Phys. 280 (2008), no. 2, 285-313.
Complex scaling and geometric analysis of several variables
Bull. Korean Math. Soc. 45 (2008), no. 3, 523-561.
Geometric integration theory
Cornerstones. Birkhäuser Boston, Inc., Boston, MA, 2008. xvi+339 pp.
The Lagrange inversion theorem in the smooth case
J. Math. Anal. Appl. 340 (2008), no. 2, 1263-1270.
Lower order terms in the full moment conjecture for the Riemann zeta function
J. Number Theory 128 (2008), no. 6, 1516-1554.
Disk enumeration on the quintic 3-fold
J. Amer. Math. Soc. 21 (2008), no. 4, 1169-1209
Rigidity and modularity of vertex tensor categories
Commun. Contemp. Math. 10 (2008), suppl. 1, 871-911
Convergence 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
Pretentious 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
Knot homology via derived categories of coherent sheaves. I. The \({\frak{sl}}(2)\)-case
Duke Math. J. 142 (2008), no. 3, 511-588.
CLT for \(L^ p\) moduli of continuity of Gaussian processes
Stochastic Process. Appl. 118 (2008), no. 7, 1107-1135.
Cycles in dense digraphs
Combinatorica 28 (2008), no. 1, 1-18.
Zero forcing sets and the minimum rank of graphs
Linear Algebra Appl. 428 (2008), no. 7, 1628-1648.
Differential inequalities for Riesz means and Weyl-type bounds for eigenvalues
J. Funct. Anal. 254 (2008), no. 12, 3173-3191.
Lieb-Thirring inequalities on the half-line with critical exponent
J. Eur. Math. Soc. (JEMS) 10 (2008), no. 3, 739-755.
The Bergman kernel and projection on non-smooth worm domains
Houston J. Math. 34 (2008), no. 3, 873-950.
Extreme values of \(\zeta'(\rho)\)
J. Lond. Math. Soc. (2) 78 (2008), no. 2, 273-289.
Minimum 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.
Divisorial valuations via arcs
Publ. Res. Inst. Math. Sci. 44 (2008), no. 2, 425-448.
An upper bound for the minimum rank of a graph
Linear Algebra Appl. 429 (2008), no. 7, 1629-1638.
Extreme values of zeta and \(L\)-functions
Math. Ann. 342 (2008), no. 2, 467-486.
Algorithmic randomness of continuous functions
Arch. Math. Logic 46 (2008), no. 7-8, 533-546.
A dynamical systems approach to the Kadison-Singer problem
J. Funct. Anal. 255 (2008), no. 1, 120-132.
Some new equivalences of Anderson's paving conjectures
Proc. Amer. Math. Soc. 136 (2008), no. 12, 4275-4282.
The Hartogs extension phenomenon redux
Complex Var. Elliptic Equ. 53 (2008), no. 4, 343-353.
A decomposition theorem for frames and the Feichtinger conjecture
Proc. Amer. Math. Soc. 136 (2008), no. 6, 2043-2053.
A guide to complex variables
The Dolciani Mathematical Expositions, 32. MAA Guides, 1. Mathematical Association of America, Washington, DC, 2008.
Knot homology via derived categories of coherent sheaves. II. \(\frak{sl}_ m\) case
Invent. Math. 174 (2008), no. 1, 165-232.
Analysis and geometry on worm domains
J. Geom. Anal. 18 (2008), no. 2, 478-510.
Effective packing dimension of \(\Pi^ 0_ 1\)-classes
Proc. Amer. Math. Soc. 136 (2008), no. 10, 3655-3662.
The spectral decomposition of shifted convolution sums
Duke Math. J. 144 (2008), no. 2, 321-339.
Graph energy change due to edge deletion
Linear Algebra Appl. 428 (2008), no. 8-9, 2070-2078.
Orthogonal representations, minimum rank, and graph complements
Linear Algebra Appl. 428 (2008), no. 11-12, 2560-2568.
Two-loop superstrings. VII. Cohomology of chiral amplitudes
Nuclear Phys. B 804 (2008), no. 3, 421-506
Autocorrelation of ratios of \(L\)-functions
Commun. Number Theory Phys. 2 (2008), no. 3, 593-636
Pseudoconvexity, analytic discs and invariant metrics
Bull. Allahabad Math. Soc. 23 (2008), no. 2, 245-262
Complex variables
A physical approach with applications and MATLAB\(^\circledR\) Textbooks in Mathematics. Chapman \& Hall/CRC, Boca Raton, FL, 2008. xviii+421 pp.
The distribution of smooth numbers in arithmetic progressions
Anatomy of integers, 115-128, CRM Proc. Lecture Notes, 46, Amer. Math. Soc., Providence, RI, 2008
Complex analysis as catalyst
Amer. Math. Monthly 115 (2008), no. 9, 775-794
A vanishing theorem for finitely supported ideals in regular local rings
Special volume in honor of Melvin Hochster. Michigan Math. J. 57 (2008), 573-585
Quasi-socle ideals in Gorenstein numerical semigroups rings
J. Algebra 320 (2008), no. 1, 276-293.
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J. Pure Appl. Algebra 212 (2008), no. 5, 969-980.
F-thresholds, tight closure, integral closure, and multiplicity bounds
Special volume in honor of Melvin Hochster. Michigan Math. J. 57 (2008), 463-483
Derivatives of (modified) Fredholm determinants and stability of standing and traveling waves
J. Math. Pures Appl. (9) 90 (2008), no. 2, 160-200.
Correlations of eigenvalues and Riemann zeros
Commun. Number Theory Phys. 2 (2008), no. 3, 477-536
Log Fano varieties over function fields of curves
Invent. Math. 173 (2008), no. 1, 7-21.
Applications of stable polynomials to mixed determinants: Johnson's conjectures, unimodality, and symmetrized Fischer products
Duke Math. J. 143 (2008), no. 2, 205-223.
Rational 6-cycles under iteration of quadratic polynomials
LMS J. Comput. Math. 11 (2008), 367-380
On four-dimensional gradient shrinking solitons
Int. Math. Res. Not. IMRN 2008, no. 4, Art. ID rnm152, 13 pp.
Critical percolation of free product of groups
Internat. J. Algebra Comput. 18 (2008), no. 4, 683-704
A sufficient condition for a polynomial to be stable
J. Math. Anal. Appl. 347 (2008), no. 1, 81-89
The Kadison-Singer problem and the uncertainty principle
Proc. Amer. Math. Soc. 136 (2008), no. 12, 4235-4243
2007
Higher correlations of divisor sums related to primes. III. Small gaps between primes
Proc. Lond. Math. Soc. (3) 95 (2007), no. 3, 653-686.
Classification of Ding's Schubert varieties: finer rook equivalence
Canad. J. Math. 59 (2007), no. 1, 36-62
Vanishing 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
Ranks of elliptic curves and random matrix theory
London Mathematical Society Lecture Note Series, 341. Cambridge University Press, Cambridge, 2007. vi+361 pp
Fire containment in grids of dimension three and higher
Discrete Appl. Math. 155 (2007), no. 17, 2257-2268.
Higher 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.
A non-regular Gröbner fan
Discrete Comput. Geom. 37 (2007), no. 3, 443-453.
Rigidity theory for matroids
Comment. Math. Helv. 82 (2007), no. 1, 197-233.
The maximum size of \(L\)-functions
J. Reine Angew Math. 609 (2007), 215-236.
Low-lying zeros of \(L\)-functions with orthogonal symmetry
Duke Math. J. 136 (2007), no. 1, 115-172.
Secondary 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.
Discretisation 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.
Applications of the \(L\)-functions ratios conjectures
Proc. Lond. Math. Soc. (3) 94 (2007), no. 3, 594-646.
A note on \(S(t)\) and the zeros of the Riemann zeta-function
Bull. Lond. Math. Soc. 39 (2007), no. 3, 482-486.
Modeling 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.
A hybrid Euler-Hadamard product for the Riemann zeta function
Duke Math. J. 136 (2007), no. 3, 507-549.
The path to recent progress on small gaps between primes
Analytic number theory, 129-139, Clay Math. Proc., 7, Amer. Math. Soc., Providence, RI, 2007.
The crystal structure on the set of Mirković-Vilonen polytopes
Adv. Math. 215 (2007), no. 1, 66-93.
A converse theorem for \(\Gamma_ 0(13)\)
J. Number Theory 122 (2007), no. 2, 314-323.
On zeros of Eisenstein series for genus zero Fuchsian groups
Proc. Amer. Math. Soc. 135 (2007), no. 8, 2391-2401
Tropical polytopes and cellular resolutions
Experiment.Math. 16 (2007), no. 3, 277-291.
Diophantine definability and decidability in extensions of degree 2 of totally real fields
J. Algebra 313 (2007), no. 2, 846-896.
Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas
J. Algebra 308 (2007), no. 1, 270-294.
Integration over compact quantum groups
Publ. Res. Inst. Math. Sci. 43 (2007), no. 2, 277-302.
New scaling of Itzykson-Zuber integrals
Ann. Inst. H. Poincaré Probab. Statist. 43 (2007), no. 2, 139-146.
Distribution of lattice orbits on homogeneous varieties
Geom. Funct. Anal. 17 (2007), no. 1, 58-115.
An overview of the Riemannian metrics on spaces of curves using the Hamiltonian approach
Appl. Comput. Harmon. Anal. 23 (2007), no. 1, 74-113.
On some enumerative aspects of generalized associahedra
European J. Combin. 28 (2007), no. 4, 1208-1215.
The boundary behavior of holomorphic functions: global and local results
Asian J. Math. 11 (2007), no. 2, 179-199.
Interior 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.
Evans functions, Jost functions, and Fredholm determinants
Arch. Ration. Mech. Anal. 186 (2007), no. 3, 361-421.
Fredholm determinants and the Evans function for difference equations
Perspectives in operator theory, 111-135, Banach Center Publ., 75, Polish Acad. Sci., Warsaw, 2007.
The mathematical contributions of Serge Lang
Notices Amer. Math. Soc. 54 (2007), no. 4, 476-497.
Rational points on compactifications of semi-simple groups
J. Amer. Math. Soc. 20 (2007), no. 4, 1135-1186
Zeros of random polynomials on \(\Bbb C^ m\)
Math. Res. Lett. 14 (2007), no. 3, 469-479.
On directed triangles in digraphs
Electron. J. Combin. 14 (2007), no. 1, Note 19, 9 pp.
The Carathéodory-Cartan-Kaup-Wu theorem on an infinite-dimensional Hilbert space
Nagoya Math. J. 185 (2007), 17-30.
Decay of weak solutions to the 2D dissipative quasi-geostrophic equation
Comm. Math. Phys. 276 (2007), no. 1, 93-115.
The minimum rank of symmetric matrices described by a graph: a survey
Linear Algebra Appl. 426 (2007), no. 2-3, 558-582.
New results on the Bergman kernel of the worm domain in complex space
Electron. Res. Announc. Math. Sci. 14 (2007), 35-41.
Hives and the fibres of the convolution morphism
Selecta Math. (N.S.) 13 (2007), no. 3, 483-496.
Approximate bivariate factorization, a geometric viewpoint
SNC'07, 1-10, ACM, New York, 2007.
Operator-valued semicircular elements: solving a quadratic matrix equation with positivity constraints
Int. Math. Res. Not. IMRN 2007, no. 22, Art. ID rnm086, 15 pp.
The number of imaginary quadratic fields with a given class number
Hardy-Ramanujan J. 30 (2007), 13-18.
\({}^ \perp N\) as an abstract elementary class
Ann. Pure Appl. Logic 149 (2007), no. 1-3, 25-39.
A discrete mean value of the derivative of the Riemann zeta function
Mathematika 54 (2007), no. 1-2, 113-155.
The polytope of dual degree partitions
Linear Algebra Appl. 426 (2007), no. 2-3, 458-461.
Singular value inequality and graph energy change
Electron. J. Linear Algebra 16 (2007), 291-299.
Random 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.
Algorithmic randomness of closed sets
J. Logic Comput. 17 (2007), no. 6, 1041-1062.
Bounds for modular \(L\)-functions in the level aspect
Ann. Sci. École Norm. Sup. (4) 40 (2007), no. 5, 697-740.
Some properties of the Hoffman-Singleton graph
Appl. Anal. Discrete Math. 1 (2007), no. 2, 438-445.
Graphs with extremal energy should have a small number of distinct eigenvalues
Bull. Cl. Sci. Math. Nat. Sci. Math. No. 32 (2007), 43-57.
K-trivial closed sets and continuous functions
Computation and logic in the real world, 135-145, Lecture Notes in Comput. Sci., 4497, Springer, Berlin, 2007
Constructive dimension and weak truth-table degrees
Computation and logic in the real world, 63-72, Lecture Notes in Comput. Sci., 4497, Springer, Berlin, 2007
A 2-generated 2-related group with no non-trivial finite quotients
Algebra Discrete Math. 2007, no. 2, 111–114
Some group theory problems
Internat. J. Algebra Comput. 17 (2007), no. 5-6, 1189-1214
Projections and the Kadison-Singer problem
Oper. Matrices 1 (2007), no. 3, 391-408
Positive 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
The strong perfect graph theorem
Ann. of Math. (2) 164 (2006), no. 1, 51-229.
Pseudomoments of the Riemann zeta-function and pseudomagic squares
J. Number Theory 117 (2006), no. 2, 263-278.
The number of extensions of a number field with fixed degree and bounded discriminant
Ann. of Math. (2) 163 (2006), no. 2, 723-741.
Prolongations of geometric overdetermined systems
Internat. J. Math. 17 (2006), no. 6, 641-664.
The density of rational points on a certain singular cubic surface
J. Number Theory 119 (2006), no. 2, 242-283.
Tropical secant varieties of linear spaces
Discrete Comput. Geom. 35 (2006), no. 1, 117-129.
Fibred sites and stack cohomology
Math. Z. 254 (2006), no. 4, 811-836.
Dimensions of tight spans
Ann. Comb. 10 (2006), no. 1, 53-61.
Lower order terms of the second moment of \(S(t)\)
Acta Arith. 123 (2006), no. 4, 313-333.
Random matrix theory and the Fourier coefficients of half-integral-weight forms
Experiment. Math. 15 (2006), no. 1, 67-82.
Conormal 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.
On the non-vanishing of elliptic curve \(L\)-functions at the central point
Proc. London Math. Soc. (3) 93 (2006), no. 1, 1-42.
Non-Archimedean amoebas and tropical varieties
J. Reine Angew. Math. 601 (2006), 139-157.
Rook poset equivalence of Ferrers boards
Order 23 (2006), no. 2-3, 179-195.
Plane curves and contact geometry
Proceedings of Gökova Geometry-Topology Conference 2005, 165-174, Gökova Geometry/Topology Conference (GGT), Gökova, 2006.
The correspondence between augmentations and rulings for Legendrian knots
Pacific J. Math. 224 (2006), no. 1, 141-150.
Finding almost squares
Acta Arith. 121 (2006), no. 3, 221-232.
A note on primes in short intervals
Int. J. Number Theory 2 (2006), no. 1, 105-110.
Connectivity properties of moment maps on based loop groups
Geom. Topol. 10 (2006), 1607-1634.
Small gaps between primes exist
Proc. Japan Acad. Ser. A Math. Sci. 82 (2006), no. 4, 61-65.
An efficient shooting algorithm for Evans function calculations in large systems
Phys. D 220 (2006), no. 2, 116-126.
Random polynomials, random matrices and \(L\)-functions
Nonlinearity 19 (2006), no. 4, 919-936.
Moments of the derivative of characteristic polynomials with an application to the Riemann zeta function
Comm. Math. Phys. 267 (2006), no. 3, 611-629
Crystallization of random trigonometric polynomials
J. Stat. Phys. 123 (2006), no. 6, 1219-1230.
On permanental polynomials of certain random matrices
Int. Math. Res. Not. 2006, Art. ID 61570, 37 pp.
The expected number of zeros of a random system of \(p\)-adic polynomials
Electron. Comm. Probab. 11 (2006), 278-290.
The 2-adic eigencurve is proper
Doc. Math. 2006, Extra Vol., 211-232
Automorphic forms and rational homology 3-spheres
Geom. Topol. 10 (2006), 295-329
On the enumeration of positive cells in generalized cluster complexes and Catalan hyperplane arrangements
J. Algebraic Combin. 23 (2006), no. 4, 355-375.
\(h\)-vectors of generalized associahedra and noncrossing partitions
Int. Math. Res. Not. 2006, Art. ID 69705, 28 pp.
On a generalization of Szemerédi's theorem
Proc. London Math. Soc. (3) 93 (2006), no. 3, 723-760.
Compactification of the moduli space of hyperplane arrangements
J. Algebraic Geom. 15 (2006), no. 4, 657-680.
Polyhedral conditions for the nonexistence of the MLE for hierarchical log-linear models
J. Symbolic Comput. 41 (2006), no. 2, 222-233.
On the asymptotic dynamics of a quantum system composed by heavy and light particles
Comm. Math. Phys. 268 (2006), no. 3, 819-852.
On the computation of the coefficients of a modular form
Algorithmic number theory, 30-39, Lecture Notes in Comput. Sci., 4076, Springer, Berlin, 2006.
Jacobiens, jacobiennes et stabilité numérique
Groupes de Galois arithmétiques et différentiels, 91-125, Sémin. Congr., 13, Soc. Math. France, Paris, 2006.
Integrable systems and modular forms of level 2
J. Phys. A 39 (2006), no. 50, 15341-15353.
A geometric boson-fermion correspondence
C. R. Math. Acad. Sci. Soc. R. Can. 28 (2006), no. 3, 65-84.
The topology of asymptotically locally flat gravitational instantons
Phys. Lett. B 641 (2006), no. 6, 461-465.
The 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
A geometric proof of the existence of Whitney stratifications
Mosc. Math. J. 5 (2005), no. 1, 125-133.
On the trace of Hecke operators for Maass forms for congruence subgroups. II
Forum Math. 17 (2005), no. 1, 1-30.
Around the Hilbert-Arnold problem
On finiteness in differential equations and Diophantine geometry, 111–162, CRM Monogr. Ser., 24, Amer. Math. Soc., Providence, RI, 2005
Integral moments of \(L\)-functions
Proc. London Math. Soc. (3) 91 (2005), no. 1, 33-104.
Knot and braid invariants from contact homology. I
Geom. Topol. 9 (2005), 247-297.
Deformations of Maass forms
Math. Comp. 74 (2005), no. 252, 1967-1982.
On a wave map equation arising in general relativity
XIVth International Congress on Mathematical Physics, 330-336, World Sci. Publ., Hackensack, NJ, 2005.
Knot and braid invariants from contact homology. II
Geom. Topol. 9 (2005), 1603-1637.
Degree 1 elements of the Selberg class
Expo. Math. 23 (2005), no. 1, 65-70.
Convexity of the figure eight solution to the three-body problem
Pacific J. Math. 219 (2005), no. 2, 271-283.
Differentiation evens out zero spacings
Trans. Amer. Math. Soc. 357 (2005), no. 9, 3789-3811.
Slopes of overconvergent 2-adic modular forms
Compos. Math. 141 (2005), no. 3, 591-604.
On the ramification of Hecke algebras at Eisenstein primes
Invent. Math. 160 (2005), no. 1, 97-144.
On the rank of a tropical matrix
Combinatorial and computational geometry, 213-242, Math. Sci. Res. Inst. Publ., 52, Cambridge Univ. Press, Cambridge, 2005
Coefficients 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.
An arithmetic formula for certain coefficients of the Euler product of Hecke polynomials
J. Number Theory 113 (2005), no. 1, 175-200.
The Gromov norm of the product of two surfaces
Topology 44 (2005), no. 2, 321-339.
Basic 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.
Lower-order terms of the 1-level density of families of elliptic curves
Int. Math. Res. Not. 2005, no. 10, 587-633.
Higher moments of primes in short intervals. II
Int J. Number Theory 1 (2005), no. 2, 207-214.
Notes 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.
The moduli space of \(n\) tropically collinear points in \(\Bbb R^d\)
Collect. Math. 56 (2005), no. 1, 1-19
Finding almost squares. II
Integers 5 (2005), no. 1, A23, 4 pp.
A Legendrian Thurston-Bennequin bound from Khovanov homology
Algebr. Geom. Topol. 5 (2005), 1637-1653
Friendly measures, homogeneous flows and singular vectors
Algebraic and topological dynamics, 281-292, Contemp. Math., 385, Amer. Math. Soc., Providence, RI, 2005.
Calculation and estimation of the Poisson kernel
J. Math. Anal. Appl. 302 (2005), no. 1, 143-148.
Small contingency tables with large gaps
SIAM J. Discrete Math. 18 (2005), no. 4, 787-793
Horizontal configurations of points in link complements
European Congress of Mathematics, 233-245, Eur. Math. Soc., Zürich, 2005.
Differentiability 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
Sample path properties of the stochastic flows
Ann. Probab. 32 (2004), no. 1A, 1-27.
Random matrix ensembles associated to compact symmetric spaces
Comm. Math. Phys. 244 (2004), no. 1, 29-61.
On the Gabai-Eliashberg-Thurston theorem
Comment. Math. Helv. 79 (2004), no. 3, 502-515.
A limit shape theorem for periodic stochastic dispersion
Comm. Pure Appl. Math. 57 (2004), no. 9, 1127-1158.
Strong multiplicity one for the Selberg class
Canad. Math. Bull. 47 (2004), no. 3, 468-474.
Friedmann cosmology and almost isotropy
Geom. Funct. Anal. 14 (2004), no. 4, 853-912.
Invariant sets and measures of nonexpansive group automorphisms
Israel J. Math. 144 (2004), 29-60.
On the distribution of lattice points in thin annuli
Int. Math. Res. Not. 2004, no. 13, 637-658.
The average analytic rank of elliptic curves
Duke Math. J. 122 (2004), no. 3, 591-623.
The number of unsieved integers up to \(x\)
Acta Arith. 115 (2004), no. 4, 305-328.
Tropical convexity
Doc. Math. 9 (2004), 1-27.
Maximal triangulations of a regular prism
J. Combin. Theory Ser. A 106 (2004), no. 1, 159-164.
A counterexample to the Gouvêa-Mazur conjecture
C. R. Math. Acad. Sci. Paris 338 (2004), no. 10, 751-753.
The Hecke algebra \(T_ k\) has large index
Math. Res. Lett. 11 (2004), no. 1, 125-137.
Modular parametrizations of Neumann-Setzer elliptic curves
Int. Math. Res. Not. 2004, no. 27, 1395-1405.
Legendrian solid-torus links
J Symplectic Geom. 2 (2004), no. 3, 411-443.
2003
Decay of mean values of multiplicative functions
Canad. J. Math. 55 (2003), no. 6, 1191-1230.
The existential Hilbert 16-th problem and an estimate for cyclicity of elementary polycycles
Invent. Math. 151 (2003), no. 3, 451-512.
The splitting of primes in division fields of elliptic curves
Experiment. Math. 11 (2002), no. 4, 555-565 (2003).
Computable Legendrian invariants
Topology 42 (2003), no. 1, 55-82.
New upper bounds on sphere packings. I
Ann. of Math. (2) 157 (2003), no. 2, 689-714.
Multiple Dirichlet series and moments of zeta and \(L\)-functions
Compositio Math. 139 (2003), no. 3, 297-360.
Tight contact structures on fibered hyperbolic 3-manifolds
J. Differential Geom. 64 (2003), no. 2, 305-358.
Higher correlations of divisor sums related to primes. I. Triple correlations
Integers 3 (2003), A5, 66 pp.
The distribution of values of \(L(1,\chi_ d)\)
Geom. Funct. Anal. 13 (2003), no. 5, 992-1028.
On the topology of vacuum spacetimes
Ann. Henri Poincaré 4 (2003), no. 2, 369-383.
Random matrix theory and the zeros of \(\zeta'(s)\)
Random matrix theory J. Phys. A 36 (2003), no. 12, 2945-2962.
Autocorrelation of random matrix polynomials
Comm. Math. Phys. 237 (2003), no. 3, 365-395.
Lectures on sieves
Proceedings of the Session in Analytic Number Theory and Diophantine Equations, 50 pp Bonner Math. Schriften, 360, Univ. Bonn, Bonn, 2003.
The 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
\(0\)-efficient triangulations of 3-manifolds
J. Differential Geom. 65 (2003), no. 1, 61-168.
Normal families of holomorphic functions and mappings on a Banach space
Expo. Math. 21 (2003), no. 3, 193-218.
Random matrix theory and discrete moments of the Riemann zeta function
Random matrix theory. J. Phys. A 36 (2003), no. 12, 2907-2917.
Linear statistics of low-lying zeros of \(L\)-functions
Q. J. Math. 54 (2003), no. 3, 309-333.
Rationality of partial zeta functions
Indag. Math. (N.S.) 14 (2003), no. 2, 285-292.
Compactness results in symplectic field theory
Geom. Topol. 7 (2003), 799-888.
2002
Algebraic \(K\)-theory and trace invariants
Proceedings of the International Congress of Mathematicians, Vol. II (Beijing, 2002), 415-425, Higher Ed. Press, Beijing, 2002.
Beyond pair correlation
Paul Erdős and his mathematics, I (Budapest, 1999), 507-514, Bolyai Soc. Math. Stud., 11, János Bolyai Math. Soc., Budapest, 2002.
Tight contact structures with no symplectic fillings
Invent. Math. 148 (2002), no. 3, 609-626.
A convexity theorem for torus actions on contact manifolds
Illinois J. Math. 46 (2002), no. 1, 171-184.
On 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.
Invariants of Legendrian knots and coherent orientations
J. Symplectic Geom. 1 (2002), no. 2, 321-367.
Growth of solutions for QG and 2D Euler equations
J. Amer. Math. Soc. 15 (2002), no. 3, 665-670.
Scalars convected by a two-dimensional incompressible flow
Comm. Pure Appl. Math. 55 (2002), no. 2, 255-260.
Convex decomposition theory
Int. Math. Res. Not. 2002, no. 2, 55-88.
On symplectic cobordisms
Math. Ann. 323 (2002), no. 1, 31-39.
Generating a random sink-free orientation in quadratic time
Electron J. Combin. 9 (2002), no. 1, Research Paper 10, 13 pp.
Contact reduction
Trans. Amer. Math. Soc. 354 (2002), no. 10, 4245-4260.
Upper bounds for \(\vert L(1,\chi)\vert \)
Q. J. Math. 53 (2002), no. 3, 265-284.
Elliptic curves with large rank over function fields
Ann. of Math. (2) 155 (2002), no. 1, 295-315.
On the multiplicativity of quantum cat maps
Nonlinearity 15 (2002), no. 3, 905-922.
Spacing of zeros of Hecke \(L\)-functions and the class number problem
Acta Arith. 103 (2002), no. 3, 259-312.
Real zeros of quadratic Dirichlet \(L\)-functions
Invent. Math. 150 (2002), no. 1, 1-44.
New upper bounds on sphere packings. II
Geom. Topol. 6 (2002), 329-353
Hausdorff dimension in stochastic dispersion
J. Statist. Phys. 108 (2002), no. 5-6, 943-971.
Black hole interaction energy
Phys. Rev. D (3) 66 (2002), no. 8, 084019, 8 pp.
2001
Constant mean curvature surfaces with Delaunay ends
Comm. Anal. Geom. 9 (2001), no. 1, 169-237.
Low lying zeros of families of \(L\)-functions
Inst. Hautes Études Sci. Publ. Math. No. 91 (2000), 55-131 (2001).
High moments of the Riemann zeta-function
Duke Math. J. 107 (2001), no. 3, 577-604.
Large character sums
J. Amer. Math. Soc. 14 (2001), no. 2, 365-397.
An Eulerian-Lagrangian approach for incompressible fluids: local theory
J. Amer. Math. Soc. 14 (2001), no. 2, 263-278.
On the trace of Hecke operators for Maass forms for congruence subgroups
Forum Math. 13 (2001), no. 4, 447-484.
Connected sums of constant mean curvature surfaces in Euclidean 3 space
J. Reine Angew. Math. 536 (2001), 115-165.
The spectrum of multiplicative functions
Ann. of Math. (2) 153 (2001), no. 2, 407-470.
\(L\)-functions and random matrices
Mathematics unlimited–2001 and beyond, 331-352, Springer, Berlin, 2001.
Minimizing area among Lagrangian surfaces: the mapping problem
J. Differential Geom. 58 (2001), no. 1, 1-86.
A variational principle for domino tilings
J. Amer. Math. Soc. 14 (2001), no. 2, 297-346.
Rank frequencies for quadratic twists of elliptic curves
Experiment. Math. 10 (2001), no. 4, 559-569.
Diophantine properties of elements of \({\rm SO}(3)\)
Geom. Funct. Anal. 11 (2001), no. 5, 953-970.
Une infinité de structures de contact tendues sur les variétés toroïdales
Comment. Math. Helv. 76 (2001), no. 2, 353-372.
A 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.
The topological structure of contact and symplectic quotients
Internat. Math. Res. Notices 2001, no. 1, 33-52
An index for closed orbits in Beltrami fields
Phys. D 159 (2001), no. 3-4, 180-189.
Holonomic 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.
On the collapse of tubes carried by 3D incompressible flows
Comm. Math. Phys. 222 (2001), no. 2, 293-298.
Symplectic fillability of tight contact structures on torus bundles
Algebr. Geom. Topol. 1 (2001), 153-172.
The Tate conjecture for certain abelian varieties over finite fields
Acta Arith. 100 (2001), no. 2, 135-166
2000
The cubic moment of central values of automorphic \(L\)-functions
Ann. of Math. (2) 151 (2000), no. 3, 1175-1216.
Factoring Hecke polynomials modulo a prime
Pacific J. Math. 196 (2000), no. 1, 123-130.
A note on some positivity conditions related to zeta and \(L\)-functions
Internat. Math. Res. Notices 2000, no. 18, 929-940.
Nonvanishing of quadratic Dirichlet \(L\)-functions at \(s=\frac12\)
Ann. of Math. (2) 152 (2000), no. 2, 447-488.
Transition mean values of real characters
J. Number Theory 82 (2000), no. 1, 109-120.
Mean values of \(L\)-functions and symmetry
Internat. Math. Res. Notices 2000, no. 17, 883-908.
Zeros of Fekete polynomials
Ann. Inst. Fourier (Grenoble) 50 (2000), no. 3, 865-889.
On the Iwasawa invariants of elliptic curves
Invent. Math. 142 (2000), no. 1, 17-63.
Structures de contact en dimension trois et bifurcations des feuilletages de surfaces
Invent. Math. 141 (2000), no. 3, 615-689.
Navier-Stokes equations and fluid turbulence
ICIAM 99 (Edinburgh), 35-46, Oxford Univ. Press, Oxford, 2000.
Introduction to symplectic field theory
GAFA 2000 (Tel Aviv, 1999). Geom. Funct. Anal. 2000, Special Volume, Part II, 560-673.
Mirror symmetry for open strings
Phys. Rev. D (3) 62 (2000), no. 12, 126005, 14 pp
Shellability of noncrossing partition lattices
J. Geom. Phys. 33 (2000), no. 1-2, 939-949
1999
Iwasawa theory for elliptic curves
Arithmetic theory of elliptic curves (Cetraro, 1997), 51-144, Lecture Notes in Math., 1716, Springer, Berlin, 1999.
M-theory, topological strings and spinning black holes
Adv. Theor. Math. Phys. 3 (1999), no. 5, 1445-1537.
On 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
A conjecture for the sixth power moment of the Riemann zeta-function
Internat. Math. Res. Notices (1998), no. 15, 775-780.
Stability for holomorphic spheres and Morse theory
Geometry and topology: Aarhus (1998), 87-106, Contemp. Math., 258, Amer. Math. Soc., Providence, RI, 2000.
Omega results for the divisor and circle problems
Int. Math. Res. Not. 2003, no. 36, 1987-1998.
