2022
Fast matrix multiplication, additive combinatorics, and modular representations
Jonah Blasiak, Thomas Church, Henry Cohn, Joshua Grochow, Kevin Pratt, and Chris Umans
Drilling hyperbolic groups
Daniel Groves, Peter Haissinsky, Jason Manning, Damian Osajda, Alessandro Sisto, and Genevieve Walsh
Finite generation of cohomology for finite dimensional Hopf algebras and Nichols algebras
Nicolas Andruskiewitsch, Ivan Angiono, Julia Pevtsova, and Sarah Witherspoon
Papers:
Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups
by Nicolás Andruskiewitsch, Iván Angiono, Julia Pevtsova, and Sarah Witherspoon, Res Math Sci 9, 12 (2022)
Cohomology rings of finite-dimensional pointed Hopf algebras over abelian groups
by Nicolás Andruskiewitsch, Iván Angiono, Julia Pevtsova, and Sarah Witherspoon, Research in the Mathematical Sciences 9, Article 12 (2022)
Computing volumes and lattice points of flow polytopes
Carolina Benedetti Velasquez, Carolina Benedetti Velásquez, Carolina Benedetti, Carolina Benedetti-Velasquez, Rafael Gonzalez D'Leon, Rafael Gonzalez, Christopher Hanusa, Pamela Harris, Alejandro Morales, and Martha Yip
Papers:
Column convex matrices, G-cyclic orders, and flow polytopes
by Rafael S. González D'León, Christopher R. H. Hanusa, Alejandro H. Morales, and Martha Yip
A unifying framework for the v-Tamari lattice and principal order ideals in Young's lattice
by Matias von Bell, Rafael S. González D'León, Francisco A. Mayorga Cetina, and Martha Yip
Kostant's partition function and magic multiplex juggling sequences
by Carolina Benedetti, Christopher R. H. Hanusa, Pamela E. Harris, Alejandro H. Morales, and Anthony Simpson, Annals of Combinatorics 24 (2020), 439-473
A Fuss-Catalan variation of the caracol flow polytope
by Martha Yip
A combinatorial model for computing volumes of flow polytopes
by Carolina Benedetti, Rafael S. González D'León, Christopher R. H. Hanusa, Pamela E. Harris, Apoorva Khare, Alejandro H. Morales, and Martha Yip
Asymptotic behavior of Toeplitz and Toeplitz+Hankel determinants
Estelle Basor, Torsten Ehrhardt, Gyorgy Geher, Roozbeh Gharakhloo, Raffael Hagger, Kasia Kozlowska, and Jani Virtanen
Papers:
Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations
by Estelle Basor, Torsten Ehrhardt, Roozbeh Gharakhloo, Alexander Its, and Yuqi Li
Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermion
by L Brightmore, Gyorgy Pal Geher, Alexander R Its, Vladimir Korepin, Francesco Mezzadri, Man Yue Mo and Jani Virtanen
Bounded and compact Toeplitz+Hankel matrices
by Torsten Ehrhardt, Raffael Hagger, and Jani Virtanen
2021
Mathematics of ResNets: Representation and training
Xiuyuan Cheng, Jianfeng Lu, Yiping Lu, Yulong Lu, Chao Ma, and Lexing Ying
Vertex operator superalgebras, Jacobi functions and Mathieu moonshine
Matthew Krauel, Geoffrey Mason, Michael Tuite, and Gaywalee Yamskulna
Papers:
Decompositions of index one Jacobi forms into N=4 characters and formulas for mock modular forms
by Matthew Krauel, Geoffrey Mason, Michael Tuite, and Gaywalee Yamskulna
Network structure and oscillation patterns in neural models with time delay
Victoria Booth, Sue Ann Campbell, Jennifer Miller, Hwayeon Ryu, Zeynep Teymuroglu, and Xueying Wang
Papers:
Spatially localized clustersolutions in inhibitory neural networks
by H. Ryu, J. Miller, Z. Teymuroglu, X. Wang, V. Booth, and S.A. Campbell
Computational aspects of GIT with a view of moduli spaces
Patricio Gallardo, Jesus Martinez Garcia, Han-Bom Moon, and David Swinarski
Deep learning and quantum Monte Carlo
Giuseppe Carleo, Yixao Chen, Jiequn Han, Lin Lin, Jianfeng Lu, and James Stokes
Off-Diagonal Terms in the Moments of L-functions
Julio Andrade, Hung Bui, Chantal David, Alexandra Florea, Steve Gonek, Jon Keating, and Matilde Lalin
Multiscale stochastic modeling of neglected vector-borne diseases
Amarjit Budhiraja, Priscilla Greenwood, Xin Liu, Yunan Liu, Anuj Mubayi, and Amber Puha
Adaptivity, structure, and constraints in multiple testing problems
Rina Barber, Emmanuel Candes, Aaditya Ramdas, and Ryan Tibshirani
Papers:
Predictive inference with the jackknife+
by Rina Foygel Barber, Emmanuel J. Candes, Aaditya Ramdas, and Ryan J. Tibshirani, published at Annals of Statistics
The limits of distribution-free conditional predictive inference
by Rina Foygel Barber, Emmanuel J. Candès, Aaditya Ramdas, and Ryan J. Tibshirani, to appear at Information & Inferenc
Conformal Prediction Under Covariate Shift
by Ryan J. Tibshirani, Rina Foygel Barber, Emmanuel J. Candes, and Aaditya Ramdas, NeurIPS 2019
Geometric perspectives in harmonic analysis
Philip Gressman, Shaoming Guo, Lillian Pierce, Joris Roos, and Po-Lam Yung
Fast matrix multiplication, additive combinatorics, and modular representations
Jonah Blasiak, Thomas Church, Henry Cohn, Joshua Grochow, Kevin Pratt, and Chris Umans
Groups acting on rooted trees and their boundaries
Ievgen Bondarenko, Rostislav Grigorchuk, Kate Juschenko, Vadim Kaimanovich, Constantine Medynets, Kostya Medynets, and Dmytro Savchuk
Coordinatization of graded C*-algebras
Jonathan Brown, Jose Carrion, Kristin Courtney, Adam Fuller, James Gabe, David Pitts, Sarah Reznikoff, Christopher Schafhauser, Aaron Tikuisis, and Stuart White
Papers:
Graded C*-algebras and twisted groupoid C*-algebras
by Jonathan Brown, Adam Fuller, David Pitts, and Sarah Reznikoff
Intermediate C*-algebras of Cartan embeddings
by Jonathan H. Brown, Ruy Exel, Adam H. Fuller, David R. Pitts, and Sarah A. Reznikoff
2020
Computing volumes and lattice points of flow polytopes
Carolina Benedetti Velasquez, Carolina Benedetti Velásquez, Carolina Benedetti, Carolina Benedetti-Velasquez, Rafael Gonzalez D'Leon, Rafael Gonzalez, Christopher Hanusa, Pamela Harris, Alejandro Morales, and Martha Yip
Papers:
Column convex matrices, G-cyclic orders, and flow polytopes
by Rafael S. González D'León, Christopher R. H. Hanusa, Alejandro H. Morales, and Martha Yip
A unifying framework for the v-Tamari lattice and principal order ideals in Young's lattice
by Matias von Bell, Rafael S. González D'León, Francisco A. Mayorga Cetina, and Martha Yip
Kostant's partition function and magic multiplex juggling sequences
by Carolina Benedetti, Christopher R. H. Hanusa, Pamela E. Harris, Alejandro H. Morales, and Anthony Simpson, Annals of Combinatorics 24 (2020), 439-473
A Fuss-Catalan variation of the caracol flow polytope
by Martha Yip
A combinatorial model for computing volumes of flow polytopes
by Carolina Benedetti, Rafael S. González D'León, Christopher R. H. Hanusa, Pamela E. Harris, Apoorva Khare, Alejandro H. Morales, and Martha Yip
The crystal structure of the plethysm of Schur functions
Laura Colmenarejo Hernando, Laura Colmenarejo, Rosa Orellana, Franco Saliola, Anne Schilling, Michael Zabrocki, and Mike Zabrocki
Papers:
Plethysm and the algebra of uniform block permutations
by Rosa Orellana, Franco Saliola, Anne Schilling, and Mike Zabrocki
An insertion algorithm on multiset partitions with applications to diagram algebras
by Laura Colmenarejo, Rosa Orellana, Franco Saliola, Anne Schilling, and Mike Zabrocki
Maslov index techniques in spectral theory of quantum graphs
Gregory Berkolaiko, Yaiza Canzani, Graham Cox, and Jeremy Marzuola
Papers:
Limiting eigenfunctions of Sturm-Liouville operators subject to a spectral flow
by Thomas Beck, Isabel Bors, Grace Conte, Graham Cox, and Jeremy L. Marzuola
A local test for global extrema in the dispersion relation of a periodic graph
by Gregory Berkolaiko, Yaiza Canzani, Graham Cox, and Jeremy L. Marzuola
Asymptotic behavior of Toeplitz and Toeplitz+Hankel determinants
Estelle Basor, Torsten Ehrhardt, Gyorgy Geher, Roozbeh Gharakhloo, Raffael Hagger, Kasia Kozlowska, and Jani Virtanen
Papers:
Asymptotics of bordered Toeplitz determinants and next-to-diagonal Ising correlations
by Estelle Basor, Torsten Ehrhardt, Roozbeh Gharakhloo, Alexander Its, and Yuqi Li
Entanglement entropy of two disjoint intervals separated by one spin in a chain of free fermion
by L Brightmore, Gyorgy Pal Geher, Alexander R Its, Vladimir Korepin, Francesco Mezzadri, Man Yue Mo and Jani Virtanen
Bounded and compact Toeplitz+Hankel matrices
by Torsten Ehrhardt, Raffael Hagger, and Jani Virtanen
The tree property
James Cummings, Matthew Foreman, Yair Hayut, Menachem Magidor, Itay Neeman, Dima Sinapova, and Spencer Unger
Papers:
The tree property at the two immediate successors of a singular cardinal
by James Cummings, Yair Hayut, Menachem Magidor, Itay Neeman, Dima Sinapova, and Spencer Unger
The ineffable tree property and failure of the Singular Cardinals Hypothesis
by James Cummings, Yair Hayut, Menachem Magidor, Itay Neeman, Dima Sinapova, and Spencer Unger
Character computations and the local Langlands correspondence
Jeffrey Adler, Stephen DeBacker, Jessica Fintzen, Tasho Kaletha, Loren Spice, and Cheng-Chiang Tsai
Papers:
Regular Bernstein blocks
by Jeffrey D. Adler and Manish Mishra, J. Reine Angew. Math. 775 (2021), pp. 71-86
Self-dual cuspidal representations
by Jeffrey D. Adler and Manish Mishra, Rep. Theory 24 (2020), pp. 210-228
On the construction of tame supercuspidal representations
by Jessica Fintzen
On certain sign characters of tori and their extensions to Bruhat-Tits groups
by Jessica Fintzen, Tasho Kaletha, and Loren Spice
A global nullstellensatz for ideals of Denjoy-Carleman functions
by Francesca Acquistapace, Fabrizio Broglia, and Andreea Nicoara
Lifting Lagrangians from Donaldson divisors
Luis Diogo, Dmitry Tonkonog, Renato Vianna, Weiwei WU, and Weiwei Wu
Roots of Bernstein-Sato polynomials
Josep Alvarez Montaner, Daniel Hernandez, Jack Jeffries, Luis Nunez-Betancourt, Pedro Teixeira, and Emily Witt
Papers:
Bernstein-Sato functional equations, V-filtrations, and multiplier ideals of direct summands
by Josep Àlvarez Montaner, Daniel J. Hernández, Jack Jeffries, Luis Núñez-Betancourt, Pedro Teixeira, and Emily E. Witt
Indefinite theta functions and Moonshine
John Duncan, Michael Griffin, Jeffrey Harvey, Michael Mertens, Brandon Rayhaun, and Larry Rolen
2019
Epidemic dynamics of cholera in non-homogeneous environments
Stephen Kirkland, Zhisheng Shuai, Jin Wang, Xueying Wang, Xiaoqiang Zhao, and Pauline van den Driessche
Papers:
Target reproduction numbers for reaction-diffusion population models,
by X. Wang and X.-Q. Zhao, Journal of Mathematical Biology, 81(2): 625-647 (2020)
Impact of Varying Community Networks on Disease Invasion
by Stephen Kirkland, Zhisheng Shuai, P. van den Driessche, and Xueying Wang, SIAM J. Appl. Math., 81(3)
Stochastic model of Bovine Babesiosis with juvenile and adult cattle
by Xueying Wang, Chadi M. Saad-Roy, and P. van den Driessche
A cholera epidemic model in a spatiotemporally heterogeneous environment
by X. Wang, X.-Q. Zhao and J. Wang, Journal of Mathematical Analysis and Applications, 468(12) (2018), 893–912
Geometry of compactified strata of differentials
Matt Bainbridge, Dawei Chen, Quentin Gendron, Samuel Grushevsky, and Martin Moeller
Papers:
Masur-Veech volumes and intersection theory: the principal strata of quadratic differentials
by D. Chen, M. Möller, A. Sauvaget, with an appendix by G. Borot, A. Giacchetto, and D. Lewanski
The area is a good enough metric
by Matteo Costantini, Martin Möller, and Jonathan Zachhuber
The Chern classes and the Euler characteristic of the moduli spaces of abelian differentials
by Matteo Costantini, Martin Möller, and Jonathan Zachhuber
diffstrata -- a Sage package for calculations in the tautological ring of the moduli space of Abelian differentials
by Matteo Costantini, Martin Möller, and Jonathan Zachhuber
The moduli space of multi-scale differentials
by Matt Bainbridge, Dawei Chen, Quentin Gendron, Samuel Grushevsky, and Martin Möller
Stratifying module categories
David Benson, Srikanth Iyengar, Henning Krause, and Julia Pevtsova
Papers:
Stratification and duality for unipotent finite supergroup schemes
by Dave Benson, Srikanth B. Iyengar, Henning Krause and Julia Pevtsova, Equivariant Topology and Derived Algebra: A conference in honor of John Greenlees' 60th Birthday (Trondheim, 2019), Cambridge Univ. Press
Rank varieties and π-points for elementary supergroup schemes
by Dave Benson, Srikanth B. Iyengar, Henning Krause and Julia Pevtsova
Local duality for representations of finite group schemes
by Dave Benson, Srikanth B. Iyengar, Henning Krause, and Julia Pevtsova, Compos. Math. 155 (2019), no. 2, 424-453
Local duality for the singularity category of a finite dimensional Gorenstein algebra
by Dave Benson, Srikanth B. Iyengar, Henning Krause, and Julia Pevtsova, Nagoya Math. J., 244 (2021), 1–24
Detecting nilpotence and projectivity over finite unipotent supergroup schemes
by Dave Benson, Srikanth B. Iyengar, Henning Krause, and Julia Pevtsova, Selecta Math. (N.S.) 27 (2021), no. 2, Paper No. 25
Geometric frustration in the self-assembly of complex crystals
Pablo Damasceno, Yoav Kallus, Davide Proserpio, Marjorie Senechal, Jean Taylor, and Erin Teich
Papers:
Opening Crystallography
by Marjorie Senechal and Jean Taylor
The Rhombic Triacontrahedron and Crystallography
by Marjorie Senechal and Jean Taylor
On the form and growth of complex crystals: The case of Tsai-Type Clusters
by Jean E. Taylor, Erin G. Teich, Pablo F. Damasceno, Yoav Kallus, and Marjorie Senechal, Symmetry 2017, 9(9), 188; doi:10.3390/sym9090188
Connecting measure theory, fractal geometry, and Diophantine approximation
Vasileios Chousionis, Tushar Das, Lior Fishman, David Simmons, and Mariusz Urbanski
Papers:
Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism
by Tushar Das, Lior Fishman, David Simmons, and Mariusz Urbanski
On the dimension spectra of infinite iterated function systems
by Tushar Das and David Simmons
A variational principle in the parametric geometry of numbers
by Tushar Das, Lior Fishman, David Simmons, Mariusz Urbanski
A variational principle in the parametric geometry of numbers, with applications to metric Diophantine approximation
by Tushar Das, Lior Fishman, David Simmons, and Mariusz Urbański, C. R. Math. Acad. Sci. Paris 355 (2017), no. 8, 835–846 MR3693502
Persistence-based topological summaries of metric graphs
Ellen Gasparovic, Maria Gommel, Emilie Purvine, Radmila Sazdanovic, Bei Wang, Yusu Wang, and Lori Ziegelmeier
Papers:
A Complete Characterization of the 1-Dimensional Intrinsic Cech Persistence Diagrams for Metric Graphs
by Ellen Gasparovic, Maria Gommel, Emilie Purvine, Radmila Sazdanovic, Bei Wang, Yusu Wang, and Lori Ziegelmeier, Research in computational topology, 33-56, Assoc. Women Math. Ser., 13, Springer, Cham, 2018. MR3905000
On Homotopy Types of Vietoris-Rips Complexes of Metric Gluings
by Michal Adamaszek, Henry Adams, Ellen Gasparovic, Maria Gommel, Emilie Purvine, Radmila Sazdanovic, Bei Wang, Yusu Wang, Lori Ziegelmeier, Journal of Applied and Computational Topology, May 2020.
Local versus global distances for zigzag persistence modules
by Ellen Gasparovic, Maria Gommel, Emilie Purvine, Radmila Sazdanovic, Bei Wang, Yusu Wang, and Lori Ziegelmeier
The relationship between the intrinsic Cech and persistence distortion distances for metric graphs
by Ellen Gasparovic, Maria Gommel, Emilie Purvine, Radmila Sazdanovic, Bei Wang, Yusu Wang, and Lori Ziegelmeier, Journal of Applied and Computational Topology, 10(1), 477-499, 2019
Vietoris-Rips and Cech complexes of metric gluings
by Michal Adamaszek, Henry Adams, Ellen Gasparovic, Maria Gommel, Emilie Purvine, Radmila Sazdanovic, Bei Wang, Yusu Wang, and Lori Ziegelmeier, 34th International Symposium on Computational Geometry (SoCG 2018),(99) Leibniz International Proceedings in Informatics (LIPIcs), 3:1-3:15, Dagstuhl, Germany MR3824247
Geometry of Shimura varieties and arithmetic application to L-functions
Yifeng Liu, Yichao Tian, Liang Xiao, Wei Zhang, and Xinwen Zhu
Papers:
Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture
by Raphael Beuzart-Plessis, Yifeng Liu, Wei Zhang, and Xinwen Zhu, to appear Annals
On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
by Yifeng Liu, Yichao Tian, Liang Xiao, Wei Zhang, and Xinwen Zhu
Dynamical systems, agent based modeling, and Bayesian networks for modeling food security
Gnel Gabrielyan, Holly Gaff, Matthew Grainger, Mohammad Irfan, David Just, Steven Lord, and Mary Lou Zeeman
Dynamical properties of deterministic and stochastic models of reaction networks
David Anderson, Daniele Cappelletti, Gheorghe Craciun, Badal Joshi, Stefan Mueller, and Casian Pantea
Papers:
Autocatalytic networks: An intimate relation between network topology and dynamics
by Badal Joshi and Gheorghe Craciun
Detailed balance = complex balance + cycle balance. A graph-theoretic proof for reaction networks and Markov chains
by Stefan Müller and Badal Joshi
A generalization of Birch's theorem and vertex-balanced steady states for generalized mass-action systems
by Gheorghe Craciun, Stefan Muller, Casian Pantea, Polly Y. Yu, Mathematical Biosciences and Engineering, 16(6) (2019)8243–8267
Stochastic Chemical Reaction Networks for Robustly Approximating Arbitrary Probability Distributions
by Daniele Cappelletti, Andres Ortiz-Munoz, David F. Anderson and Erik Winfree
On the bijectivity of families of exponential/generalized polynomial maps
by Stefan Müller, Josef Hofbauer, and Georg Regensburger
A deficiency-based approach to parametrizing positive equilibria of biochemical reaction systems
by Matthew D. Johnston, Stefan Müller, and Casian Pantea, Bull. Math. Biol. 81 (2019), no. 4, 1143–1172 MR3918781
Dynamical Andre-Oort questions
Laura DeMarco, Dragos Ghioca, Holly Krieger, Khoa Nguyen, Thomas Tucker, and Hexi Ye
Papers:
A dynamical variant of the Pink-Zilber conjecture
by Dragos Ghioca and Khoa Dang Nguyen, Algebra Number Theory 12 (2018), no. 7, 1749–1771 MR3871509
Uniform Manin-Mumford for a family of genus 2 curves
by Laura DeMarco, Holly Krieger, and Hexi Ye
Bounded height in families of dynamical systems
by Laura DeMarco, Dragos Ghioca, Holly Krieger, Khoa D. Nguyen, Thomas J. Tucker, Hexi Ye, Int. Math. Res. Not. IMRN 2019, no. 8, 2453–2482 MR3942167
Invariants of contact structures in dimension three
Cagatay Kutluhan, Gordana Matic, and Jeremy Van Horn-Morris
Papers:
Filtering the Heegaard Floer contact invariant
by Cagatay Kutluhan, Gordana Matic, Jeremy Van Horn-Morris, and Andy Wand
Classifying fusion categories
Pinhas Grossman, Masaki Izumi, Scott Morrison, David Penneys, Emily Peters, and Noah Snyder
Papers:
The Extended Haagerup fusion categories
by Pinhas Grossman, Scott Morrison, David Penneys, Emily Peters and Noah Snyder
Unitary dual functors for unitary multitensor categories
by David Penneys, Higher Structures 4(2):22-56, 2020
Drinfeld centers of fusion categories arising from generalized Haagerup subfactors
by Pinhas Grossman, Masaki Izumi
Infinite families of potential modular data related to quadratic categories
by Pinhas Grossman, Masaki Izumi
The Extended Haagerup fusion categories
by Pinhas Grossman, Scott Morrison, David Penneys, Emily Peters, Noah Snyder
Completion for braided enriched monoidal categories
by Scott Morrison, David Penneys, and Julia Plavnik
Monoidal categories enriched in braided monoidal categories
by Scott Morrison and David Penneys, Int. Math. Res. Not. IMRN 2019, no. 11, 3527–3579 MR3961709
2018
Modeling Waning and Boosting in Immuno-Epidemiology
Lauren Childs, Zhilan Feng, John Glasser, Jane Heffernan, Jing Li, and Gergely Rost
Mathematical modeling of adaptive biological networks
Karen Alim, Eleni Katifori, Sebastien Roch, and Marcus Roper
Papers:
Resilience in hierarchical fluid flow networks
by T.Gavrilchenko and E. Katifori, Physical Review E 99(1):01232 (2019)
Microvascular networks with uniform flow
by S.S. Chang and M. Roper, Journal of theoretical biology (2019) 462:48-64
Minimal transport networks with general boundary conditions
by Shyr-Shea Chang and Marcus Roper, SIAM J. Appl. Math. 78 (2018), no. 3, 1511–1535 MR3805860
Ramifications of decorated minimal model program in arbitrary dimensions
Kenneth Chan, Colin Ingalls, Kelly Jabbusch, Shinnosuke Okawa, Susan Sierra, and Michel Van den Bergh
Papers:
The minimal model program for b-log canonical divisors and applications
by Daniel Chan, Kenneth Chan, Louis de Thanhoffer de Völcsey, Colin Ingalls, Kelly Jabbusch, Sándor J Kovács, Rajesh Kulkarni, Boris Lerner, Basil Nanayakkara, Shinnosuke Okawa, Michel Van den Bergh
Moonshine and string theory
Miranda Cheng, John Duncan, Sarah Harrison, Shamit Kachru, and Brandon Rayhaun
Mathematical analysis of inverse problems in seismology and radar
Margaret Cheney, Raluca Felea, Romina Gaburro, Allan Greenleaf, and Clifford Nolan
Papers:
Microlocal analysis of Doppler Synthetic Aperture Radar
by Raluca Felea, Romina Gaburro, Allan Greenleaf, and Clifford Nolan
Homogenization techniques in ecological and epidemiological models
Christina Cobbold, Martha Garlick, Thomas Hillen, Frithjof Lutscher, James Powell, and Brian Yurk
Papers:
Persistence and spread of stage-structured populations in heterogeneous landscapes
by Y. Alqawasmeh and F. Lutscher, Journal of Mathematical Biology, 78(5): 1485-1527 DOI 10.1007/s00285-018-1317-8
Homogenization techniques for population dynamics in strongly heterogeneous landscapes
by Brian P. Yurk, and Christina A. Cobbold , J. Biol. Dyn. 12 (2018), no. 1, 171-193 MR3799809
Movement behaviour determines competitive outcome and spread rates in strongly heterogeneous landscapes
by Gabriel Andreguetto Maciel, and Frithjof Lutscher, Theor Ecol (2018), Springer Netherlands, ISSN 1874-1738
Simulation-based optimization for agricultural decision making analysis
Scott Boyce, John Chrispell, Andres Colon, Matthew Farthing, Randall Hanson, Lea Jenkins, Kathleen Kavanagh, Matt Parno, and Timothy Weigand
Papers:
Use of visualization and metrics to aid in agricultural water management decisions
by A.I. Colon, K. Loar, E.W. Jenkins, and K.R. Kavanagh, Proceedings of the 2018 South Carolina Water Resources Conference, 2018
Building sustainable decision tools for a sustainable environment
by E.W. Jenkins, K.R. Kavanagh, and L.S. Mallot, SIAM News - April 2017
Math Modeling: Computing and Communicating
by Bliss, K.M.;Kavanaugh, K. R.;Galluzzo, B. J.; Levey, R.
Optimization of a basin network using global search algorithms
by J. Beauregard, B. Ritz, E.W. Jenkins, K.R. Kavanagh, and M.W. Farthing
Development and use of mathematical models and software frameworks for integrated analysis of agricultural systems and associated water use impacts
by K.R. Fowler, E.W. Jenkins, M. Parno, J.C. Chrispell, A.I. Colón, and R.T.Hanson, AIMS Agriculture and Food, 1(2): 208-226, 23 May 2016)AIMS Agriculture and Food, 1(2): 208-226, 23 May 2016
Building sustainable decision tools for a sustainable environment
by E.W. Jenkins, K.R. Kavanagh, and L.S. Matott, SIAM News, April 2017
Using simulation-based optimization to guide allocations of surface and ground water resources for sgricultural water use
by AI Colón, RT Hanson, EW Jenkins, and KR Kavanagh, Proceedings of the 2017 South Carolina Water Resources Conference, Columbia Metropolitan Convention Center, Columbia, SC, October 2016
Turan problems for sparse hypergraphs
Zoltan Furedi, Tao Jiang, Alexandr Kostochka, Dhruv Mubayi, and Jacques Verstraete
Papers:
Extremal problems on ordered and convex geometric hypergraphs
by Z. Furedi, T. Jiang, A. Kostochka, D. Mubayi, and J. Verstraete
Ordered and convex geometric trees with linear extremal function
by Zoltan Füredi, Alexandr Kostochka, Dhruv Mubayi, and Jacques Verstraete
Hypergraphs not containing a tight tree with a bounded trunk II: 3-trees with a trunk of size 2
by Z. Furedi, T. Jiang, A. Kostochka, D. Mubayi, and J. Verstraete
Stability in the Erdős--Gallai Theorem on cycles and paths, II
by Zoltán Füredi, Alexandr Kostochka, Ruth Luo, and Jacques Verstraëte, Discrete Math. 341 (2018), no. 5, 1253–1263 MR3777040
Extensions of a theorem of Erdős on nonhamiltonian graphs
by Zoltán Füredi, Alexandr Kostochka, and Ruth Luo, J. Graph Theory 89 (2018), no. 2, 176–193 MR3843180
Tight paths and matchings in convex geometric hypergraphs
by Zoltán Füredi, Tao Jiang, Alexandr Kostochka, Dhruv Mubayi, and Jacques Verstraëte
Hypergraphs not containing a tight tree with a bounded trunk
by Zoltán Füredi, Tao Jiang, Alexandr Kostochka, Dhruv Mubayi, and Jacques Verstraëte, SIAM J. Discrete Math. 33 (2019), no. 2, 862–873 MR3952672
Plasticity of ionic currents and synaptic efficacy in weakly coupled neural networks
Victoria Booth, Sue Campbell, and Xueying Wang
Papers:
Slowly varying modulation of neural networks
by V. Booth, S. A. Campbell, and X. Wang
Structures on spectral sequences calculating higher order topological Hochschild homology
Irina Bobkova, Eva Hoening, Ayelet Lindenstrauss, Katherine Poirier, Birgit Richter, and Inna Zakharevich
Papers:
Splittings and calculational techniques for higher THH
by Irina Bobkova, Eva Höning, Ayelet Lindenstrauss, Kate Poirier, Birgit Richter, and Inna Zakharevich, Algebr. Geom. Topol. 19 (2019), no. 7, 3711–3753
2017
Cohomological obstructions for rational points on Fermat curves
Rachel Davis, Rachel Pries, and Kirsten Wickelgren
Papers:
The Galois action and cohomology of a relative homology group of Fermat curves
by Rachel Davis, Rachel Pries, Vesna Stojanoska, and Kirsten Wickelgren, J. Algebra 505 (2018), 33–69 MR3789905
The isomorphism problem for rank-1 transformations
Matthew Foreman, Su Gao, Aaron Hill, Cesar Silva, and Benjamin Weiss
Papers:
Disjointness between bounded rank-one transformations
by Su Gao and Aaron Hill
Ideals in algebraic systems biology
Luis Garcia Puente, Elizabeth Gross, Heather Harrington, Nicolette Meshkat, and Anne Shiu
Papers:
Complexity of model testing for dynamical systems with toric steady states
by MF Adamer, M Helmer, Advances in Applied Mathematics 110, 42-75
Steady State Invariants and Multistationarity for Families of Toric Reaction Networks
by Michael F. Adamer, Martin Helmer
A parameter-free model comparison test using differential algebra
by Heather A. Harrington, Kenneth L. Ho, and Nicolette Meshkat
Linear compartmental models: input-output equations and operations that preserve identifiability
by Elizabeth Gross, Heather A. Harrington, Nicolette Meshkat, Anne Shiu, SIAM J. Appl. Math. 79 (2019), no. 4, 1423-1447 MR3986567
Joining and decomposing reaction networks
by Elizabeth Gross, Heather A Harrington, Nicolette Meshkat, and Anne Shiu
Identifiability of linear compartment models: the singular locus
by Elizabeth Gross, Nicolette Meshkat, and Anne Shiu
Ocular blood flow and its role in development of glaucoma
Julia Arciero, Lucia Carichino, Simone Cassani, Sergey Lapin, and Alice Verticchio
Papers:
Waveform parameters of retrobulbar vessels in glaucoma patients with different demographics and disease severity
by L. Carichino, A.C. Verticchio Vercellin, S. Lapin, G. Guidoboni, S. Cassani, G. Milano, A. De Silvestri, C. Tinelli, B. Siesky, A. Harris, European Journal of Ophthalmology, 2019, doi.org/10.1177/1120672119848259
Theoretical predictions of metabolic flow regulation in the retina
by S. Cassani, J. Arciero, G. Guidoboni, B. Siesky, A. Harris, 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
by M. Szopos, S. Cassani, G. Guidoboni, C. Prud'homme, R. Sacco, B. Siesky, A. Harris, 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
by L. Carichino, G. Guidoboni, A.C. Verticchio Vercellin, G. Milano, C.A. Cutolo, C. Tinelli, A. De Silvestri, S. Lapin, J.C. Gross, B.A. Siesky, A. Harris, Journal for Modeling in Ophthalmology, Vol. 1(2) (2016) 59-69
A theoretical investigation of the increase in venous oxygen saturation levels in glaucoma patients
by L. Carichino, A. Harris, G. Guidoboni, B.A. Siesky, L.A. Pinto, E. Vandewalle, O.B.Olafsdottir, S.H. Hardarson, K. Van Keer, I. Stalmans, E. Stefansson, and J.C. Arciero, , Journal for Modeling in Ophthalmology, Vol. 1 (2016) 64-87
Computer-aided ophthalmic artery waveform analysis in healthy individuals and glaucoma patients
by L. Carichino, G. Guidoboni, A. C. V. Vercellin, G. Milano, C. A. Cutolo, C. Tinelli, A. De Silvestri, S. Lapin, B. Siesky, and A. Harris, Investigative Ophthalmology & Visual Science, 2016, vol.57(12)
Theoretical analysis of the relationship between changes in retinal blood flow and ocular perfusion pressure
by S. Cassani, A. Harris, B. A. Siesky, and J. Arciero, Journal of Coupled Systems and Multiscale Dynamics, Vol 3(1) (2015) 38-46
Intraocular pressure, blood pressure and retinal blood flow autoregulation: a mathematical model to clarify their relationship and clinical relevance
by G. Guidoboni, A. Harris, S. Cassani, J. Arciero, B. Siesky, A. Amireskandari, L. Tobe, P. Egan, I. Januleviciene, and J. Park, Investigative Ophthalmology and Visual Science, 55(7) (2014) 4105-18
Random polynomials with bounded height
Igor Pritsker, Brian Rider, Christopher Sinclair, Jeffrey Vaaler, and Maxim Yattselev
Papers:
Zero distribution of random polynomials
by Pritsker, Igor E. , J. Anal. Math. 134 (2018), no. 2, 719-745 MR3771497
An asymptotic expansion for the expected number of real zeros of real random polynomials spanned by OPUC
by Maxim Yattselev and Hanan Aljubran, J. Math. Anal. Appl. 469 (2019), no. 1, 428–446 MR3857530
Height bounds for algebraic numbers satisfying splitting conditions
by Paul Fili and Igor Pritsker, J. Number Theory 175 (2017), 250–264 MR3608190
Energy integrals and small points for the Arakelov height
by Paul Fili, Clayton Petsche, and Igor Pritsker, Arch. Math. (Basel) 109 (2017), no. 5, 441–454 MR3710764
Natural boundary and zero distribution of random polynomials in smooth domains
by Igor Pritsker and Koushik Ramachandran, Comput. Methods Funct. Theory 19 (2019), no. 3, 401-410 MR3990269
Expected zeros of random orthogonal polynomials on the real line
by I. E. Pritsker, Jaen J. Approx. 9 (2017), no. 1, 1–24 MR3739138
Asymptotic zero distribution of random polynomials spanned by general bases
by I. E. Pritsker, Modern trends in constructive function theory, 121–140, Contemp. Math., 661, Amer. Math. Soc., Providence, RI, 2016 MR3489554
Distribution of zeros for random Laurent rational functions
by I. E. Pritsker, Comput. Methods Funct. Theory 18 (2018), no. 1, 143–157 MR3764716
Zeros of real random polynomials spanned by OPUC
by Maxim L. Yattselev and Aaron Yeager
The reciprocal Mahler ensembles of random polynomials
by Christopher D. Sinclair and Maxim L. Yattselev
Equidistribution of zeros of random polynomials
by Igor Pritsker and Koushik Ramachandran, J. Approx. Theory 215 (2017), 106–117 MR3600134
Expected number of real zeros for random orthogonal polynomials
by Doron S. Lubinsky, Igor E. Pritsker, and Xiaoju Xie, Math. Proc. Camb. Phil. Soc., 164 (2018) no. 1, 47-66 MR3733238
Hyperbolic geometry beyond dimension three
Vincent Emery, Matthieu Jacquemet, Ruth Kellerhals, Alexander Kolpakov, Bruno Martelli, John Ratcliffe, and Steven Tschantz
Papers:
Harmonic spinors on the Davis hyperbolic 4-manifold
by John G. Ratcliffe, Daniel Ruberman, and Steven T. Tschantz
Embedding arithmetic hyperbolic manifolds
by A. Kolpakov, A. Reid, and L. Slavich, Math. Res. Lett. 25 (2018), no. 4, 1305–1328 MR3882165
On minimal volume hyperbolic lattices
by R. Kellerhals, Mathematics 2017, 5, 43; doi:10.3390/math5030043
Hyperbolic Dehn filling in dimension four
by Bruno Martelli and Stefano Riolo, Geom. Topol. 22 (2018), no. 3, 1647–1716 MR3780443
Hyperbolic four-manifolds
by Bruno Martelli, Handbook of group actions. Vol. III, 37???58, Adv. Lect. Math. (ALM), 40, Int. Press, Somerville, MA, 2018 MR3888615
On commensurable hyperbolic Coxeter groups
by R. Guglielmetti, M. Jacquemet and Kellerhals, Geom. Dedicata 183 (2016), 143-167 MR3523123
Hyperbolic three-manifolds that embed geodesically
by Bruno Martelli
Hyperbolic four-manifolds, colourings and mutations
by Alexander Kolpakov and Leone Slavich, Proc. Lond. Math. Soc.(3) 113 (2016), no. 2, 163-184 MR3534970
On volumes of quasi-arithmetic hyperbolic lattices
by Vincent Emery, Selecta Math. (N.S.) 23 (2017), no. 4, 2849–2862 MR3703466
Salem numbers and arithmetic hyperbolic groups
by Vincent Emery, John G. Ratcliffe, Steven T. Tschantz, Trans. Amer. Math. Soc. 372 (2019), no. 1, 329–355 MR3968771
Measurable graph theory
Clinton Conley, Stephen Jackson, Andrew Marks, Brandon Seward, and Robin Tucker-Drob
Papers:
Hyperfiniteness and Borel combinatorics
by Clinton Conley, Steve Jackson, Andrew Marks, Brandon Seward, and Robin Tucker-Drob
Folner tilings for actions of amenable groups
by Clinton T. Conley, Steve Jackson, David Kerr, Andrew Marks, Brandon Seward, and Robin Tucker-Drob, Math. Ann. 371 (2018), no. 1-2, 663–683 MR3788861
Stabilization in 4-dimensional topology
David Auckly, Hee Kim, Hee Jung Kim, Paul Melvin, Daniel Ruberman, and Hannah Schwartz
Papers:
Equivariant hyperbolization of 3-manifolds via homology cobordisms
by Dave Auckly, Hee Jung Kim, Paul Melvin, and Daniel Ruberman
Equivariant Corks
by Dave Auckly, Hee Jung Kim, Paul Melvin, and Daniel Ruberman, Alg. & Geom. Topology, 17, (2017), 1771–1784 MR3677939
Isotopy of surfaces in 4-manifolds after a single stabilization
by Dave Auckly, Hee Jung Kim, Paul Melvin, Daniel Ruberman, and Hannah Schwartz, Adv. Math. 341 (2019), 609–615 MR3873547
Sheaf Theory and Legendrian Knots
Roger Casals, Lenhard Ng, Daniel Rutherford, Vivek Shende, Steven Sivek, Tao Su, David Treumann, and Eric Zaslow
Papers:
Ruling polynomials and augmentations for Legendrian tangles
by Tao Su
The cardinality of the augmentation category of a Legendrian link
by L. Ng, D. Rutherford, V. Shende, and S. Sivek, Math. Res. Lett. 24 (2017), no. 6, 1845–1874 MR3762698
Cluster varieties from Legendrian knots
by Vivek Shende, David Treumann, Harold Williams, and Eric Zaslow
On the combinatorics of exact Lagrangian surfaces
by Vivek Shende, David Treumann, and Harold Williams
Augmentations are sheaves
by Lenhard Ng, Dan Rutherford, Steven Sivek, Vivek Shende, and Eric Zaslow
Methods for causal inference in high-dimensional structured systems
Robin Evans, Thomas Richardson, James Robins, and Ilya Shpitser
Papers:
Model selection and local geometry
by Robin J. Evans
Estimation of personalized effects associated with causal pathways
by Razich Nabi, Phyllis Kanki, and Ilya Shpitser, Proceedings of the Conference in Uncertainty in AI, 2018
Identification of personalized effects associated With causal pathways
by Ilya Shpitser and Eli Sherman, Proceedings of the Conference in Uncertainty in AI, 2018
Acyclic linear SEMs obey the nested Markov property
by Ilya Shpitser, Robin Evans, and Thomas Richardson, Proceedings of the Conference in Uncertainty in AI, 2018
Introduction to nested Markov models
by I. Shpitser, R. J. Evans, T. S. Richardson, and J. M. Robins, Behaviormetrika, Vol.41, No.1, 2014, 3-39
Markovian acyclic directed mixed graphs for discrete data
by Robin J. Evans, and Thomas S. Richardson, The Annals of Statistics, 2014, Vol. 42, No. 4, 1452-1482 MR3262457
Margins of discrete Bayesian networks
by Robin J. Evans, Ann. Statist. 46 (2018), no. 6A, 2623–2656 MR3851750
Nested Markov properties for acyclic directed mixed graphs
by Thomas S. Richardson, Robin J. Evans, James M. Robins, and Ilya Shpitser
Recovering from selection bias using marginal structure in discrete models
by R.J. Evans and V. Didelez
Missing data as a causal and probabilistic problem
by I. Shpitser, K. Mohan, and J. Pearl , Proceedings of the 31st Conference on Uncertainty in Artificial Intelligence, Corvallis, OR: AUAI Press, 802–811, 2015.
Segregated graphs and marginals of chain graph models
by I. Shpitser, Advances in Neural Information Processing Systems 28 (NIPS 2015), Neural Information Processing Systems Foundation, Inc.
Smooth, identifiable supermodels of discrete DAG models with latent variables
by Robin J. Evans and Thomas S. Richardson
On Modeling and Estimation for the Relative Risk and Risk Difference
by Thomas S. Richardson, James M. Robins, and Linbo Wang, J. Amer. Statist. Assoc. 112 (2017), no. 519 MR3735364
Causal Inference with a Graphical Hierarchy of Interventions
by Ilya Shpitser and Eric Tchetgen, Ann. Statist. 44 (2016), no. 6, 2433-2466 MR3576550
Stochastic thermodynamics and random billiards
Timothy Chumley, Scott Cook, Christopher Cox, Renato Feres, Matthew Wallace, and Hongkun Zhang
Papers:
Reaction-diffusion on metric graphs: from 3D to 1D
by R. Feres, M. Wallace, and G. Yablonsky, Computers & Mathematics with Applications, Volume 73, Issue 9, 2017 p. 2035- 2052
Ergodicity in umbrella billiards
by Maria Correia, Christopher Cox, and Hong-Kun Zhang, New Horizons in Mathematical Physics, Vol. 1, No. 2, September 2017, pp. 56-67
Stability of periodic orbits in no-slip billiards
by Christopher Cox, Renato Feres and Hong-Kun Zhang, Nonlinearity 31 (2018), no. 10, 4443–4471 MR3846436
Exact discretization of harmonic tensors
by T. Chumley, R. Feres, and M. Wallace
No-slip billiards in dimension two
by Chris Cox and Renato Feres
Explicit formulas for reaction probability in reaction-diffusion experiments
by Renato Feres, Matthew Wallace, Ari Stern, and Gregory Yablonsky
Intermittent preventive treatment and the spread of drug resistant malaria
Katharine Gurski, Carrie Manore, Angela Peace, Olivia Prosper, and Miranda Teboh-Ewungkem
Papers:
The role of intermittent preventive treatment IPT and the spread of drug resistant malaria
by M. Teboh-Ewungkem, O. Prosper, K. Gurski, C. Manore, A. Peace, and Z. Feng, Applications of Dynamical Systems in Biology and Medicine, The IMA Volumes in Mathematics and its Applications 158, DOI 10.1007/978-1-4939-2782-1
Intermittent Preventive Treatment IPT: Its role in averting disease-induced mortalities in children and in promoting the spread of antimalarial drug resistance
by Carrie A. Manore, Miranda I. Teboh-Ewungkem, Olivia Prosper, Angela L. Peace, Katharine Gurski, and Zhilan Feng, Bull. Math. Biol. 81 (2019), no. 1, 193–234 MR3895814
Arithmetic approaches to P versus NP
Qi Cheng, Shuhong Gao, J. Maurice Rojas, Joseph Rojas, and Daqing Wan
Papers:
Sub-linear root detection, and new hardness results, for sparse polynomials over finite fields
by Jingguo Bi, Qi Cheng, and J. Maurice Rojas, ISSAC 2013 Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation, 61–68, ACM, New York, 2013 MR3206341
Sparse univariate polynomials with many roots over finite fields
by Qi Cheng, Shuhong Gao, J. Maurice Rojas, and Daqing Wan, Finite Fields Appl. 46 (2017), 235–246 MR3655757
Contact and symplectic geometry and the mapping class groups
Inanc Baykur, John Etnyre, Matthew Hedden, Keiko Kawamuro, and Jeremy Van Horn-Morris
Papers:
The defect of Bennequin-Eliashberg inequality and Bennequin surfaces
by Tetsuya Ito and Keiko Kawamuro
Positive factorizations of symmetric mapping classes
by Tetsuya Ito and Keiko Kawamuro, J. Math. Soc. Japan 71 (2019), no. 1, 309–327 MR3909923
Generalized Harish-Chandra Modules
Sarah Kitchen, Ivan Penkov, Alexey Petukhov, Vera Serganova, and Gregg Zuckerman
Papers:
On the existence of infinite-dimensional generalized harish-chandra modules
by Ivan Penkov and Gregg Zuckerman, São Paulo J. Math. Sci. 12 (2018), no. 2, 290–294 MR3871678
On categories of admissible $(\mathfrak g,sl(2))$-Modules
by Ivan Penkov, Vera Serganova, and Gregg Zuckerman, Transform. Groups 23 (2018), no. 2, 463–489. MR3805213
Primitive ideals of $U(\mathfrak sl(\infty))$
by Ivan Penkov and Alexey Petukhov, Bull. Lond. Math. Soc. 50 (2018), no. 3, 435–448 MR3829731
Persistence probabilities
Frank Aurzada, Amir Dembo, Jian Ding, Naomi Feldheim, Ohad Feldheim, Fuchang Gao, Sumit Mukherjee, Thomas Simon, and Ofer Zeitouni
Papers:
Persistence exponents via perturbation theory: AR(1)-processes
by Frank Aurzada, Marvin Kettner
A reverse Gaussian correlation inequality by adding cones
by Xiaohong Chen and Fuchang Gao, Statist. Probab. Lett. 123 (2017), 84–87 MR3598622
Persistence of Gaussian processes: non- summable correlations
by Amir Dembo and Sumit Mukherjee, Probab. Theory Related Fields 169 (2017), no. 3-4, 1007–1039 MR3719062
Persistence exponents in Markov chains
by Frank Aurzada, Sumit Mukherjee, Ofer Zeitouni
Windings of the stable Kolmogorov process
by Christophe Profeta and Thomas Simon, ALEA Lat. Am. J. Probab. Math. Stat. 12 (2015), no. 1, 115-127 MR3340374
Persistence exponent for discrete-time, time-reversible processes
by Frank Aurzada and Nadine Guillotin-Plantard
New connections between link homologies and physics
Sergei Gukov, Satoshi Nawata, Ingmar Saberi, Marko Stosic, and Piotr Sulkowski
Papers:
Knots and ones
by Estelle Basor, Brian Conrey, and Kent E. Morrison
Knots-quivers correspondence
by Piotr Kucharski, Markus Reineke, Marko Stosic, and Piotr Sułkowski
Refined large N duality for torus knots
by Masaya Kameyama and Satoshi Nawata
BPS counting for knots and combinatorics on words
by Piotr Kucharski and Piotr Sulkowski, J. High Energy Phys. 2016, no. 11, 120, front matter+38 pp MR3594783
Sequencing BPS spectra
by Sergei Gukov, Satoshi Nawata, Ingmar Saberi, Marko Stosic, and Piotr Sułkowski, High Energy Phys. 2016, no. 3, 004, front matter+160 pp MR3501778
Knots, BPS states, and algebraic curves
by Stavros Garoufalidis, Piotr Kucharski, and Piotr Sułkowski
Colored HOMFLY polynomials can distinguish mutant knots
by Satoshi Nawata, P. Ramadevi, and Vivek Kumar Singh, J. Knot Theory Ramifications 22 (2013), no. 13, 1350078, 58 pp MR3152220
2016
Effective computations in arithmetic mirror symmetry
Charles Doran, Tyler Kelly, Adriana Salerno, Steven Sperber, John Voight, and Ursula Whitcher
Papers:
Zeta functions of alternate mirror Calabi-Yau families
by Charles F. Doran, Tyler L. Kelly, Adriana Salerno, Steven Sperber, John Voight, and Ursula Whitcher, Israel J. Math. 228 (2018), no. 2, 665–705 MR3874856
Distinguished-root formulas for generalized Calabi-Yau hypersurfaces
by Alan Adolphson and Steven Sperber, Algebra Number Theory 11 (2017), no. 6, 1317–1356 MR3687099
Strong arithmetic mirror symmetry and toric isogenies
by Christopher Magyar and Ursula Whitcher, Higher genus curves in mathematical physics and arithmetic geometry, 117–129, Contemp. Math., 703, Amer. Math. Soc., Providence, RI, 2018 MR3782462
Modularity of generating series for special cycles
Jan Bruinier, Benjamin Howard, Stephen Kudla, Michael Rapoport, and Tonghai Yang
Papers:
Arithmetic of Borcherds products
by Benjamin Howard and Keerthi Madapusi Pera, Astérisque est un périodique de la Société Mathématique de France. Numéro 421, 2020
Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications
by Jan Bruinier, Benjamin Howard, Stephen S. Kudla, Michael Rapoport, and Tonghai Yang, Astérisque est un périodique de la Société Mathématique de France. Numéro 421, 2020
Modularity of generating series of divisors on unitary Shimura varieties
by Jan Bruinier, Benjamin Howard, Stephen S. Kudla, Michael Rapoport, and Tonghai Yang, Astérisque est un périodique de la Société Mathématique de France. Numéro 421, 2020
Fast matrix multiplication via representation theory of finite groups
Jonah Blasiak, Thomas Church, Henry Cohn, Joshua Grochow, and Christopher Umans
Papers:
Which groups are amenable to proving exponent two for matrix multiplication?
by Jonah Blasiak, Thomas Church, Henry Cohn, Joshua A. Grochow, and Chris Umans
On cap sets and the group-theoretic approach to matrix multiplication
by Jonah Blasiak, Thomas Church, Henry Cohn, Joshua A. Grochow, Eric Naslund, William F. Sawin, and Chris Umans, Discrete Anal. 2017, Paper No. 3, 27 pp MR3631613
Validated Numerics for Harmonic Analysis and Partial Differential Equations
Hussein Awala, Irina Mitrea, Marius Mitrea, Katharine Ott, and Warwick Tucker
Papers:
Invertibility properties of singular integral operators associated with the Lamé and Stokes systems on infinite sectors in two dimensions
by Irina Mitrea, Katharine Ott, and Warwick Tucker , Integral Equations Operator Theory 89 (2017), no. 2, 151-207. MR3717826
On the solvability of the Zaremba problem in infinite sectors and the invertibility of associated singular integral operators
by Hussein Awala, Irina Mitrea and Katharine Ott, Recent applications of harmonic analysis to function spaces, differential equations, and data science, 719-751, Appl. Numer. Harmon. Anal., Birkhäuser/Springer, Cham, 2017 MR3701281
Numerical Schubert Calculus
Anton Leykin, Abraham Martin del Campo, Frank Sottile, Ravi Vakil, and Jan Verschelde
Papers:
Numerical Schubert Calculus via the Littlewood-Richardson Homotopy Algorithm
by Anton Leykin, Abraham Martin del Campo, Frank Sottile, Ravi Vakil, and Jan Verschelde
Cohen-Macaulay representations and categorical characterizations of singularities
Hailong Dao, Osamu Iyama, Srikanth Iyengar, Ryo Takahashi, Michael Wemyss, and Yuji Yoshino
Papers:
Gorenstein modifications and $\mathbb Q$-Gorenstein rings
by Hailong Dao, Osamu Iyama, Ryo Takahashi, and Michael Wemyss
Noncommutative resolutions using syzygies
by Hailong Dao, Osamu Iyama, Srikanth B. Iyengar, Ryo Takahashi, Michael Wemyss, and Yuji Yoshino, Bull. Lond. Math. Soc. 51 (2019), no. 1, 43–48 MR3919560
On steady non-commutative crepant resolutions
by Osamu Iyama and Yusuke Nakajima, J. Noncommut. Geom. 12 (2018), no. 2, 457–471 MR3825193
Representation schemes and rigid maximal Cohen-Macaulay modules
by Hailong Dao and Ian Shipman, Selecta Math. (N.S.) 23 (2017), no. 1, 1-14 MR3595886
Developing the theory of one-bit compressive sensing
Richard Baraniuk, Simon Foucart, Deanna Needell, Yaniv Plan, and Mary Wootters
Papers:
De-biasing low-rank projection for matrix completion
by S. Foucart, D. Needell, Y. Plan, and M. Wootters , Proc. SPIE Optics and Photonics, San Diego, Aug. 2017, Conference: Wavelets and Sparsity XVII
One-bit compressive sensing of dictionary-sparse signals
by Rich Baraniuk, Simon Foucart, Deanna Needell, Yaniv Plan and Mary Wootters, Inf. Inference 7 (2018), no. 1, 83–104 MR3801519
Exponential decay of recostrnuction error from binary measurements of sparse signals
by R. Baraniuk, S. Foucart, D. Needell, Y. Plan, and M. Wootters, IEEE Trans. Inform. Theory 63 (2017), no. 6, 3368–3385 MR3677739
Wolbachia infections in mosquitos carrying West Nile virus
Lydia Bourouiba, Jozsef Farkas, Stephen Gourley, Rongsong Liu, and Abdul-Aziz Yakubu
Papers:
The impact of Wolbachia-infected mosquito release on Dengue fever disease dynamics in an age-structured human population,
by J. Z. Farkas, S. A. Gourley, and R. Liu
Using mathematics at AIM to outwit mosquitoes
by J. Z. Farkas, S. A. Gourley, R. Liu, and A.-A. Yakubu, Notices of the AMS 63:292-293,2016
Wolbachia infection in a sex-structured mosquito population carrying West Nile virus
by Jozsef Z. Farkas, Stephen A. Gourley, Rongsong Liu, Abdul-Aziz Yakubu, J. Math. Biol. 75 (2017), no. 3, 621–647 MR3680591
Equilibrium states for geodesic flows in nonpositive curvature
Jayadev Athreya, Keith Burns, Vaughn Climenhaga, Todd Fisher, and Daniel Thompson
Papers:
Equilibrium states for Mañé diffeomorphisms
by V. Climenhaga, T. Fisher, and D.J. Thompson, Ergodic Theory Dynam. Systems 39 (2019), no. 9, 2433-2455 MR3989124
Unique equilibrium states for geodesic flows in nonpositive curvature
by Keith Burns, Vaughn Climenhaga, Todd Fisher, and Daniel J. Thompson, Geom. Funct. Anal. 28 (2018), no. 5, 1209-1259 MR3856792
Unique equilibrium states for Bonatti-Viana diffeomorphisms
by V. Climenhaga, T. Fisher, and D.J. Thompson, Nonlinearity 31 (2018), no. 6, 2532-2570 MR3816730
Unique equilibrium states for flows and homeomorphisms with non-uniform structure
by Vaughn Climenhaga and Daniel J. Thompson, Adv. Math. 303 (2016), 745-799 MR3552538
Coadjoint orbits of nilpotent Lie groups
Dmitry Fuchs, Alexander Kirillov, Sophie Morier-Genoud, and Valentin Ovsienko
Papers:
On tangent cones of Schubert varieties
by Dmitry Fuchs, Alexandre Kirillov, Sophie Morier-Genoud and Valentin Ovsienko, Arnold Math. J. 3 (2017), no. 4, 451–482 MR3766071
Applications of the Maslov index to multidimensional stability problems
Margaret Beck, Paul Cornwell, Graham Cox, Chris Jones, Yuri Latushkin, Kelly McQuighan, Selim Sukhtaiev, and Alim Sukhtayev
Papers:
The Maslov and Morse indices for Schrödinger operators on $\mathbfR$
by P. Howard, Y. Latushkin and A. Sukhtayev, Indiana University Math. J., 67 No. 5 (2018). MR3875243
An index theorem for Schrödinger operators on metric graphs
by Y. Latushkin and S. Sukhtaiev
The Maslov index for Lagrangian pairs on $R^2n$
by P. Howard, Y. Latushkin and A. Sukhtayev, J. Math. Anal. Appl., 451 (2017), 794–821. MR3624767
Hadamard-type formulas via the Maslov form
by Y. Latushkin and A. Sukhtayev, J. Evolution Eqns., 17 (1) (2016), 443–472. MR3630329
The Maslov Index and the spectra of second order elliptic operators
by Y. Latushkin and S. Sukhtaiev, Advances in Mathematics, 329 (2018), 422–486. MR3783419
Exponential dichotomies for elliptic PDE on radial domains
by Margaret Beck, Graham Cox, Christopher Jones, Yuri Latushkin, Alim Sukhtayev
A dynamical approach to semilinear elliptic equations
by Margaret Beck, Graham Cox, Christopher Jones, Yuri Latushkin, Alim Sukhtayev
A stability index for traveling waves in activator-inhibitor systems
by Paul Cornwell and Christopher K.R.T. Jones
Opening the Maslov box for traveling waves in skew-gradient systems
by Paul Cornwell
Instability of pulses in gradient reaction-diffusion systems: A symplectic approach
by Margaret Beck, Graham Cox, Christopher Jones, Yuri Latushkin, Kelly McQuighan, and Alim Sukhtayev, Philos. Trans. Roy. Soc. A 376 (2018), no. 2117, 20170187, 20 pp MR3789546
The Morse and Maslov indices for Schrodinger operators
by Y. Latushkin, A. Sukhtayev and S. Sukhtaiev, Trans. Amer. Math. Soc. 368 (2016), no. 11, 8145-8207 MR3546796
The Morse and Maslov indices for multidimensional Schrodinger operators with matrix-valued potentials
by G. Cox, C.K.R.T. Jones, Y. Latushkin and A. Sukhtayev, Trans. Amer. Math. Soc. 368 (2016), no. 11, 8145-8207 MR3546796
Power series expansions of modular forms on Shimura curves
Srinath Baba, Hakan Granath, Paul Nelson, John Voight, and Yifan Yang
Papers:
Modular forms on genus zero groups
by Srinath Baba, Håkan Granath, Paul Nelson, John Voight, Yifan Yang
Power series expansions of modular forms: Analysis, geometry, and arithmetic
by Srinath Baba, Håkan Granath, Paul Nelson, John Voight, Yifan Yang
Stochastic stabilisation of limit-cycle dynamics arising in ecology and neuroscience
John Appleby, Elena Braverman, Evelyn Buckwar, Conall Kelly, Georgi Medvedev, and Alexandra Rodkina
Papers:
Adaptive timestepping strategies for nonlinear stochastic systems
by C0nall Kelly and Gabriel J. Lord, IMA J. Numer. Anal. 38 (2018), no. 3, 1523–1549 MR3829168
Sufficient conditions for polynomial asymptotic behaviour of the stochastic pantograph equation
by John A. D. Appleby and Evelyn Buckwar, 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 MR3631074
On the admissibility of unboundedness properties of forced deterministic and stochastic sublinear Volterra summation equations
by John A. D. Appleby and Denis D. Patterson, Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 63, 44 pp. MR3547439
Exact and memory-dependent decay rates to the non-hyperbolic equilibrium of differential equations with unbounded delay and maximum functional
by John A. D. Appleby, Electron. J. Qual. Theory Differ. Equ. 2017, Paper No. 40, 65 pp. MR3661716
Stochastic stability analysis of a reduced galactic dynamo model with perturbed α-effect
by Conall Kelly, Phys. A 457 (2016), 480-49 MR3493357
Stochastic difference equations with the Allee effect
by E. Braverman and A. Rodkina, Discrete Contin. Dyn. Syst. 36 (2016), no. 11, 5929-5949 MR3543576
Stabilization of difference equations with noisy proportional feedback control
by Elena Braverman and Alexandra Rodkina, Discrete Contin. Dyn. Syst. Ser. B 22 (2017), no. 6, 2067–2088 MR3664695
Stabilisation of difference equations with noisy prediction-based control
by Elena Braverman, Conall Kelly and Alexandra Rodkina, Phys. D 326 (2016), 21-31 MR3499497
On convergence of solutions to difference equations with additive perturbations
by E. Braverman and A. Rodkina, Difference Equ. Appl. 22 (2016), no. 7, 878-903 MR3567271
Stability of equilibria of randomly perturbed maps
by Pawel Hitczenko and Georgi S. Medvedev, Discrete Contin. Dyn. Syst. Ser. B 22 (2017), no. 2, 369–381 MR3639120
Categorification, bordered Floer homology and the Seifert form
Jennifer Hom, Tye Lidman, and Liam Watson
Papers:
The Alexander module, Seifert forms, and categorification
by Jennifer Hom, Tye Lidman, and Liam Watson, J. Topol. 10 (2017), no. 1, 22–100 MR3653063
Classification of modular categories
Paul Bruillard, Cesar Galindo Martinez, Siu-Hung Ng, Julia Plavnik, Eric Rowell, and Zhenghan Wang
Papers:
Modular Categories of Dimension $p^3 m$ with $m$ Square-Free
by Paul Bruillard, Julia Yael Plavnik, and Eric C. Rowell, Proc. Amer. Math. Soc. 147 (2019), no. 1, 21-34 MR3876728
Classification of super-modular categories by rank
by Paul Bruillard, César Galindo, Siu-Hung Ng, Julia Yael Plavnik, Eric C. Rowell, and Zhenghan Wang
Rank 4 premodular categories
by Paul Bruillard, Appendix by Cesar Galindo, Siu-Hung Ng, Julia Plavnik, Eric Rowell, and Zhenghan Wang, New York J. Math. 22 (2016), 775–800 MR3548123
Ferminoic modular categories and the 16-fold way
by Paul Bruillard, Cesar Galindo, Tobias Hagge, Siu-Hung Ng, Julia Yael Plavnik, Eric C. Rowell, and Zhenghan Wang, J. Math. Phys. 58 (2017), 041704 MR3641612
On the Classification of Weakly Integral Modular Categories
by Paul Bruillard, César Galindo, Siu-Hung Ng, Julia Plavnik, Eric C. Rowell, and Zhenghan Wang, J. Pure Appl. Algebra 220, no. 6 (2016), 2364-2388 MR3448800
Reduction of varieties modulo p, nilpotence of the Frobenius, and related questions
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik, Anurag Singh, and Wenliang Zhang
Papers:
Stabilization of the cohomology of thickenings
by Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik, Anurag K. Singh, and Wenliang Zhang, Amer. J. Math. 141 (2019), no. 2, 531–561 MR3928045
Local cohomology modules of a smooth Z-algebra have finitely many associated primes
by Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik, Anurag K. Singh, and Wenliang Zhang, Inventiones Mathematicae 197 (2014), 509–519 MR3251828
Understanding the mathematical underpinnings in medical imaging
Ben Adcock, Benjamin Adcock, Rick Archibald, Anne Gelb, Jan Hesthaven, Rodrigo Platte, Guohui Song, and Edward Walsh
Papers:
Generalised sampling and the stable and accurate reconstruction of piecewise analytic functions from their Fourier coefficients
by B. Adcock and A. C. Hansen, Math. Comp. 84:237-270, 2015
Image reconstruction from undersampled Fourier data using the polynomial annihilation transform
by R. Archibald, A. Gelb, and R. Platte
Fourier reconstruction of univariate piecewise smooth functions from non-uniform spectral data with exponential convergence rates
by Rodrigo B. Platte, Alexander J. Gutierrez,and Anne Gelb, , Appl. Comput. Harmon. Anal. 39 (2015), no. 3, 427–449 MR3398944
Image reconstruction from Fourier data using sparsity of edges
by G. Wasserman, R. Archibald and A. Gelb
A frame theoretic approach to the non-uniform fast Fourier transform
by Anne Gelb and Guohui Song, SIAM J. Numer. Anal. 52 (2014), no. 3, 1222-1242 MR3209727
Breaking the coherence barrier: A new theory for compressed sensing
by Ben Adcock, Anders C. Hansen, Clarice Poon, and Bogdan Roman, Forum Math. Sigma 5 (2017), e4, 84 p MR3615409
Weighted frames of exponentials and stable recovery of multidimensional functions from nonuniform Fourier samples
by Ben Adcock, Milana Gataric, and Anders C. Hansen, Appl. Comput. Harmon. Anal. 42 (2017), no. 3, 508–535 MR3613399
The Giroux correspondence
Ken Baker, Jeremy Van Horn-Morris, David Vela-Vick, Shea Vela-Vick, and Vera Vertesi
Singular cardinal combinatorics
James Cummings, Sy-David Friedman, Menachem Magidor, Assaf Rinot, and Dima Sinapova
Papers:
The eightfold way
by James Cummings, Sy Friedman, Menachem Magidor, Assaf Rinot, and Dima Sinapova, J. Symb. Log. 83 (2018), no. 1, 349–371 MR3796288
Ordinal definable subsets of singular cardinals
by James Cummings, Sy Friedman, Menachem Magidor, Assaf Rinot, and Dima Sinapova, Israel J. Math. 226 (2018), no. 2, 781–804 MR3819709
2015
Displacement convexity for interacting Markov chains
Matthias Erbar, Max Fathi, Chris Henderson, Jan Maas, Georg Menz, Andre Schlichting, and Prasad Tetali
Papers:
Displacement convexity for interacting Markov chains
by Matthias Erbar, Max Fathi, Chris Henderson, Jan Maas, Georg Menz, Andre Schlichting, and Prasad Tetali
Ricci curvature bounds for weakly interacting Markov chains
by Matthias Erbar, Christopher Henderson, Georg Menz, Prasad Tetali, Electron. J. Probab. 22 (2017), Paper No. 40, 23 pp. MR3646066
The geometry of Azumaya algebras in dimension 3
Benjamin Antieau, Asher Auel, Colin Ingalls, Daniel Krashen, and Max Lieblich
Papers:
Period-index bounds for arithmetic threefolds
by Benjamin Antieau, Asher Auel, Colin Ingalls, Daniel Krashen, and Max Lieblich, Invent. Math. 216 (2019), no. 2, 301–335 MR3953504
Subgroups of Out(FN) and their action on outer space
Matt Clay, Thierry Coulbois, Arnaud Hilion, Ilya Kapovich, Martin Lustig, Hossein Namazi, Alexandra Pettet, and Kasra Rafi
Papers:
The hyperbolicity of the sphere complex via surgery paths
by Arnaud Hilion and Camille Horbez, J. Reine Angew. Math. 730 (2017), 135–161 MR3692016
Ergodic currents dual to a real tree
by Thierry Coulbois and Arnaud Hilion, Ergodic Theory and Dynamical Systems 36 (2016), no. 3, 745-766 MR3480341
Invariant measures for train track towers
by Nicolas Bédaride, Arnaud Hilion and Martin Lustig
Detecting fully irreducible automorphisms: a polynomial time algorithm. With an appendix by Mark C. Bell
by Ilya Kapovich , Exp. Math. 28 (2019), no. 1, 24–38 MR3938575
Endomorphisms, train track maps, and fully irreducible monodromies
by Spencer Dowdall, Ilya Kapovich and Christopher J. Leininger, Groups Geom. Dyn. 11 (2017), no. 4, 1179–1200 MR3737279
The primitivity index function for a free group, and untangling closed curves on hyperbolic surfaces. With an appendix by Khalid Bou-Rabee
by Neha Gupta and Ilya Kapovich, Math. Proc. Cambridge Philos. Soc. 166 (2019), no. 1, 83–121 MR3893306
McMullen polynomials and Lipschitz flows for free-by-cyclic groups
by Spencer Dowdall, Ilya Kapovich and Christopher J. Leininger, J. Eur. Math. Soc. (JEMS) 19 (2017), no. 11, 3253–3353 MR3713041
An integral weight realization theorem for subset currents on free groups
by Ilya Kapovich, Topology Proc. 50 (2017), 213–236 MR3580039
Cannon-Thurston maps for hyperbolic free group extensions
by Spencer Dowdall, Ilya Kapovich and Samuel J. Taylor, Israel Journal of Mathematics, 216, (2016), no. 2, 753–797 MR3557464
On purely loxodromic actions
by Ilya Kapovich, Monatshefte für Mathematik 181, (2016), no. 1, 89–101 MR3535906
Conical limit points and the Cannon-Thurston map
by Woojin Jeon, Ilya Kapovich, Christopher Leininger and Kenichi Ohshika, Conform. Geom. Dyn. 20 (2016), 58-80 MR3488025
Nielsen equivalence in a class of random groups
by Ilya Kapovich and Richard Weidmann, Journal of Topology, 9, (2016), no. 2, 502–534 MR3509971
Dynamics on free-by-cyclic groups
by Spencer Dowdall, Ilya Kapovich and Christopher J. Leininger, Geometry and Topology, 19, (2015), 2801–2899 MR3416115
Patterson-Sullivan currents, generic stretching factors and the asymmetric Lipschitz metric for Outer space
by Ilya Kapovich and Martin Lustig, Pacific Journal of Mathematics, 277 (2015), no. 2, 371–398 MR3402355
A train track directed random walk on $Out(F_r)$
by Ilya Kapovich and Catherine Pfaff, International Journal of Algebra and Computation,25, (2015), no. 5, pp. 745–798 MR3384080
Cannon-Thurston fibers for iwip automorphisms of $F_N$
by Ilya Kapovich and Martin Lustig, Journal of the London Mathematical Society, 91, (2015), no. 1, 203–224 MR3335244
Unbounded asymmetry of stretch factors
by Spencer Dowdall, Ilya Kapovich and Christopher J Leininger, Comptes Rendus Mathematique, 352, (2014), no. 11, 885–887 MR3268757
Invariant laminations for irreducible automorphisms of free groups
by Ilya Kapovich and Martin Lustig, Quarterly Journal of Mathematics 65, (2014), no. 4, pp. 1241-1275 MR3285770
On hyperbolicity of free splitting and free factor complexes
by Ilya Kapovich and Kasra Rafi, Groups Geom. Dyn. 8 (2014), no. 2, 391-414 MR3231221
Algorithmic detectability of iwip automorphisms
by Ilya Kapovich, Bulletin of the London Mathematical Society,46, (2014), no. 2, pp. 279–290 MR3194747
An algorithm to detect full irreducibility by bounding the volume of periodic free factors
by Matt Clay, Johanna Mangahas and Alexandra Pettet, Michigan Math. J. 64 (2015), no. 2, 279-292 MR3359026
Uniform hyperbolicity of the curve graph via surgery sequences
by Matt Clay, Kasra Rafi and Saul Schleimer, Algebr. Geom. Topol. 14 (2014), no. 6, 3325-3344 MR3302964
The p-adic Langlands program for non-split groups
Ana Caraiani, Matthew Emerton, Toby Gee, David Geraghty, Vytautas Paskunas, and Sug Woo Shin
Papers:
Patching and the p-adic Langlands program for $GL(2, Q_p)$
by Ana Caraiani, Matthew Emerton, Toby Gee, David Geraghty, Vytautas Paskunas, and Sug Woo Shin, Compos. Math. 154 (2018), no. 3, 503–548 MR3732208
Patching and the p-adic local Langlands correspondence
by Ana Caraiani, Matthew Emerton, Toby Gee, David Geraghty, Vytautas Paskunas, and Sug Woo Shin, Camb. J. Math. 4 (2016), no. 2, 197–28 MR3529394
Singular integrals and boundary problems for elliptic equations with rough coefficients
Ariel Barton, Steve Hofmann, Carlos Kenig, Svitlana Mayboroda, Yumeng Ou, and Jill Pipher
Papers:
Square function estimates on layer potentials for higher-order elliptic equations
by Ariel Barton, Steve Hofmann and Svitlana Mayboroda, Math. Nachr. 290 (2017), no. 16, 2459–2511 MR3722489
Gradient estimates and the fundamental solution for higher-order elliptic systems with rough coefficients
by Ariel Barton, Manuscripta Math. 151 (2016), no. 3-4, 375-418 MR3556825
The Regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients
by Steve Hofmann, Carlos Kenig, Svitlana Mayboroda, Jill Pipher, Math. Ann. 361 (2015), no. 3-4, 863-907 MR3319551
Partition rank functions
Amanda Folsom, Sharon Garthwaite, Soon-Yi Kang, Holly Swisher, and Stephanie Treneer
Papers:
Mock theta functions of order 2 and their shadow computations
by Soon-Yi Kang and Holly Swisher , Bull. Korean Math. Soc. 54 (2017), no. 6, 2155-2163 MR3733791
Quantum mock modular forms arising from eta-theta functions
by Amanda Folsom, Sharon Garthwaite, Soon-Yi Kang, Holly Swisher and Stephanie Treneer, Res. Number Theory 2 (2016), Art. 14, 41 pp MR3534170
The global dynamics of Thurston's pullback map
William Floyd, Gregory Kelsey, Sarah Koch, Russell Lodge, Walter Parry, Kevin Pilgrim, and Arturo Saenz
Papers:
Rationality is decidable for nearly Euclidean Thurston maps
by William Floyd, Walter Parry, Kevin M. Pilgrim
Quadratic Thurston maps with few postcritical points
by Gregory Kelsey and Russell Lodge, Geom. Dedicata 201 (2019), 33–55 MR3978534
Modular groups, Hurwitz classes and dynamic portraits of NET maps
by William Floyd, Walter Parry, and Kevin M. Pilgrim, Groups Geom. Dyn. 13 (2019), no. 1, 47–88 MR3900764
Presentations of Net Maps
by K. Pilgrim, W. Floyd, and W. Parry, Fund. Math. 244 (2019), no. 1, 49-72 MR3874665
Origami, affine maps, and complex dynamics
by William Floyd, Gregory Kelsey, Sarah Koch, Russell Lodge, Walter Parry, Kevin M. Pilgrim, and Edgar Saenz, Arnold Math. J. 3 (2017), 365-395 MR3692494
Net Maps (website)
by William Floyd, Gregory Kelsey, Sarah Koch, Russell Lodge, Kevin Pilgrim, and Edgar Saenz Maldonado
New directions in mass transport: discrete versus continuous
Sergey Bobkov, Kevin Costello, Nathael Gozlan, James Melbourne, Will Perkins, Cyril Roberto, Paul-Marie Samson, and Prasad Tetali
Papers:
Kantorovich duality for general transport costs and applications
by Nathael Gozlan, Cyril Roberto, Paul-Marie Samson and Prasad Tetali, J. Funct. Anal. 273 (2017), no. 11, 3327–3405 MR3706606
Approximate tensorization of entropy at high temperature
by Pietro Caputo, Georg Menz and Prasad Tetali, Ann. Fac. Sci. Toulouse Math. (6) 24 (2015), no. 4, 691-716 MR3434252
Nonstandard methods in number theory
Mauro Di Nasso, Isaac Goldbring, Renling Jin, Steven Leth, Martino Lupini, and Karl Mahlburg
Papers:
Approximate polynomial structure in additively large sets
by Mauro Di Nasso, Isaac Goldbring, Renling Jin, Steven Leth, Martino Lupini, and Karl Mahlburg , Integers 16 (2016), Paper No. A49, 11 pp MR3522829
High density piecewise syndeticity of product sets in amenable groups
by Mauro Di Nasso, Isaac Goldbring, Renling Jin, Steven Leth, Martino Lupini, and Karl Mahlburg, J. Symb. Log. 81 (2016), no. 4, 1555-1562 MR3580478
A monad measure space for logarithmic density
by Mauro Di Nasso, Isaac Goldbring, Renling Jin, Steven Leth, Martino Lupini, and Karl Mahlburg, Monatsh. Math. 181 (2016), no. 3, 577-599 MR3552800
High density piecewise syndeticity of sumsets
by Mauro Di Nasso, Isaac Goldbring, Renling Jin, Steven Leth, Martino Lupini, and Karl Mahlburg, Adv. Math. 278 (2015), 1-33 MR3341782
On a sumset conjecture of Erdős
by Mauro Di Nasso, Isaac Goldbring, Renling Jin, Steven Leth, Martino Lupini, and Karl Mahlburg, Canad. J. Math. 67 (2015), no. 4, 795-809 MR3361013
Secondary terms in the Davenport-Heilbronn theorems
Manjul Bhargava, Bob Hough, Arul Shankar, Takashi Taniguchi, Frank Thorne, Jacob Tsimerman, and Yongqiang Zhao
Papers:
Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves
by Manjul Bhargava, Arul Shankar, Takashi Taniguchi, Frank Thorne, Jacob Tsimerman, and Yongqiang Zhao
Orbital exponential sums for prehomogeneous vector spaces
by Takashi Taniguchi and Frank Thorne
2014
Nonlinear analysis and special geometric structures
Rafe Mazzeo, Jan Swoboda, Hartmut Weiss, and Frederik Witt
Papers:
Limiting configurations for solutions of Hitchin's equation
by Rafe Mazzeo, Jan Swoboda, Hartmut Weiss and Frederik Witt, Sémin. Théor. Spectr. Géom. 31 (2012-2014), 91-116
Teichmueller theory for conic surfaces
by Rafe Mazzeo, Hartmut Weiss, Geometry, analysis and probability, 127-164, Progr. Math., 310, Birkhäuser/Springer, Cham, 2017 MR3821926
Ends of the moduli space of Higgs bundles
by Rafe Mazzeo, Jan Swoboda, Hartmut Weiss, and Frederik Witt, Duke Math. J. 165 (2016), no. 12, 2227-2271 MR3544281
Statistics for zeta zeros of curves over finite fields
Alina Bucur, Chantal David, Brooke Feigon, and Matilde Lalin
Papers:
Statistics for ordinary Artin-Schreier covers and other p-rank strata
by Alina Bucur, Chantal David, Brooke Feigon, and Matilde Lalin, Trans. Amer. Math. Soc. 368 (2016), no. 4, 2371-2413 MR3449243
Ordinary powers and symbolic powers
Giulio Caviglia, Tai Ha, Juergen Herzog, Manoj Kummini, Naoki Terai, and Ngo Trung
Papers:
Depth and regularity modulo a principal ideal
by Giulio Caviglia, Huy Tai Ha, Jörgen Herzog, Manoj Kummini, Naoki Terai, and Ngo Viet Trung, J. Algebraic Combin. 49 (2019), no. 1, 1–20 MR3908353
Poset embeddings of Hilbert functions and Betti numbers
by Giulio Caviglia and Manoj Kummini, J. Algebra 410 (2014), 244-257 MR3201052
On the associated primes and the depth of the second power of squarefree monomial ideals
by Naoki Terai and Ngo Viet Trung, J. Pure Appl. Algebra 218 (2014), no. 6, 1117-1129 MR3153618
Symbolic powers of monomial ideals
by Susan M. Cooper, Robert J. D. Embree, Huy Tai Ha and Andrew H. Hoefel, Proc. Edinb. Math. Soc. (2) 60 (2016), no. 1, 39-55 MR3589840
Bounding the socles of powers of squarefree monomial ideals
by Jürgen Herzog and Takayuki Hibi, Commutative algebra and noncommutative algebraic geometry. Vol. II, 223-229, Math. Sci. Res. Inst. Publ., 68, Cambridge Univ. Press, New York, 2015 MR3496867
Component wise regularity $($I$)$
by Giulio Caviglia and Matteo Varbaro, J. Pure Appl. Algebra 219 (2015), no. 1, 175-182 MR3240831
Powers of squarefree monomial ideals and combinatorics
by Christopher A. Francisco, Huy Tai Ha, and Jeffrey Mermin, Commutative algebra, 373-392, Springer, New York, 2013 MR3051379
Cohen--Macaulayness for symbolic power ideals of edge ideals
by Giancarlo Rinaldo, Naoki Terai, and Ken-ichi Yoshida, J. Algebra 347 (2011), 1-22 MR2846393
On the second powers of Stanley-Reisner ideals
by Giancarlo Rinaldo, Naoki Terai, and Ken-ichi Yoshida, J. Commut. Algebra 3 (2011), no. 3, 405-430 MR2826479
The eventual shape of Betti tables of powers of ideals
by Amir Bagheri, Marc Chardin, and Huy Tai Ha, Math. Res. Lett. 20 (2013), no. 6, 1033-1046 MR3228618
On the stable set of associated prime ideals of a monomial ideal
by Shamila Bayati, Juergen Herzog, and Giancarlo Rinaldo, Arch. Math. (Basel) 98 (2012), no. 3, 213-217 MR2897443
Monomial ideals whose depth function has any given number of strict local maxima
by Somayeh Bandari, Juegen Herzog, and Takayuki Hibi, Ark. Mat. 52 (2014), no. 1, 11-19 MR3175291
Persistence and stability properties of powers of ideals
by Juergen Herzog and Ayesha Asloob Qureshi, J. Pure Appl. Algebra 219 (2015), no. 3, 530-542 MR3279372
Squarefree monomial ideals with constant depth function
by Juergen Herzog and Marius Vladoiu, J. Pure Appl. Algebra 217 (2013), no. 9, 1764-1772 MR3042636
The formation of shocks
Gustav Holzegel, Sergiu Klainerman, Jonathan Luk, Jared Speck, Willie Wong, and Shiwu Yang
Papers:
Shock formation in small-data solutions to 3D quasilinear wave equations: An overview
by Gustav Holzegel, Sergiu Klainerman, Jared Speck, Willie Wong, J. Hyperbolic Differ. Equ. 13 (2016), no. 1, 1-105 MR3474069
Shock formation in small-data solutions to 3D quasilinear wave equations
by Jared Speck, Mathematical Surveys and Monographs, 214. American Mathematical Society, Providence, RI, 2016. xxiii+515 pp. ISBN: 978-1-4704-2857-0 MR3561670
Mathematical modeling, simulation, and optimal design for agricultural water management
Stephen Carter, John Chrispell, Matthew Farthing, Kathleen Fowler, Stacy Howington, Lea Jenkins, Corey Ostrove, Matthew Parno, and Tsvetanka Sendova
Papers:
A decision making framework with MODFLOW-FMP2 via optimization: Determining trade-offs in crop selection
by K.R. Fowler, E.W. Jenkins, C.I. Ostrove, J.C. Chrispell, M.W. Farthing, and M.D. Parno, Proceedings of the 2014 SC Water Resources Conference, October 2014
Optimization of a managed aquifer recharge network
by J.C. Chrispell, M.W. Farthing, K.R. Fowler, S.E. Howington, E.W. Jenkins, S. Dutta, and B. Ji, Proceedings of the 2014 SC Water Resources Conference, Columbia, SC, October 2012)
Modeling and optimization for crop portfolio management under limited irrigation strategies
by J. Bokhira, K.R. Fowler, and E.W. Jenkins, Journal of Agricultural and Environmental Management, 3(1), 209–237, 2014
Meeting a sustainable water yield for agricultural practices through crop rotation and catchment basin design
by J.C. Chrispell, K.R. Fowler, S.E. Howington, E.W. Jenkins, M. Minik, and T. Sendova, Proceedings of the S.C. Water Resources Conference, Columbia, SC, October 2012
The Baum-Connes conjecture and geometric representation theory
David Ben Zvi, Jonathan Block, Nigel Higson, and David Nadler
Papers:
Beilinson-Bernstein localization over the Harish-Chandra center
by David Ben-Zvi and David Nadler
Weyl character formula in KK-theory
by Jonathan Block and Nigel Higson, Noncommutative geometry and physics. 3, 299-334, Keio COE Lect. Ser. Math. Sci., 1, World Sci. Publ., Hackensack, NJ, 2013 MR3098596
Robustness for black-box optimization problems in resource management
Robert Gramacy, Genetha Gray, Sebastien Le Digabel, Herbert Lee, Garth Wells, and Stefan Wild
Papers:
Sequential design for achieving estimated accuracy of global sensitivities
by J. Guenther, H.K.H. Lee, and G.A. Gray, Appl. Stoch. Models Bus. Ind. 31 (2015), no. 6, 782–800 MR3445971
Optimization under constraints by applying an asymmetric entropy measure
by D. Lindberg, D. and H.K.H. Lee, J. Comput. Graph. Statist. 24 (2015), no. 2, 379–393 MR3357386
The mesh adaptive direct search algorithm with treed Gaussian process surrogates
by R.B. Gramacy and S. Le Digabel, Pac. J. Optim. 11 (2015), no. 3, 419–447 MR3384548
Simultaneous optimization and uncertainty quantification
by J. Guenther, H.K.H. Lee, and G.A. Gray, Journal of Computational Methods in Sciences and Engineering, Volume 12, Number 1-2, pp. 99-110
Modeling an augmented Lagrangian for improved blackbox constrained optimization
by Robert B. Gramacy, Genetha A. Gray, Sebastien Le Digabel, Herbert K. H. Lee, Pritam Ranjan, Garth Wells, and Stefan M. Wild, Technometrics 58 (2016), no. 1, 1-11 MR3463148
Variable selection and sensitivity analysis via dynamic trees with an application to computer code performance tuning
by Robert B. Gramacy, Matthew A. Taddy, and Stefan M. Wild, Ann. Appl. Stat. 7 (2013), no. 1, 51-80 MR3086410
2013
Interactions between convex geometry and complex geometry
Bo Berndtsson, Dario Cordero-Erausquin, Boaz Klartag, and Yanir Rubinstein
Papers:
Complex Legendre duality
by Bo Berndtsson, Dario Cordero-Erausquin, Bo'az Klartag and Yanir A. Rubinstein
Complex interpolation of R-norms, duality and foliations
by Bo Berndtsson, Dario Cordero-Erausquin, Boaz Klartag and Yanir A. Rubinstein
Geometry and physics of the new topological recursion
Vincent Bouchard, Fusheng Deng, Bertrand Eynard, Motohico Mulase, Alexei Oblomkov, Piotr Sulkowski, and Jian Zhou
Papers:
Think globally, compute locally
by Vincent Bouchard and Bertrand Eynard
The remodeling conjecture and the Faber-Pandharipande formula
by Vincent Bouchard, Andrei Catuneanu, Olivier Marchal, and Piotr Sulkowski
Topological recursion and mirror curves
by Vincent Bouchard and Piotr Sulkowski, Adv. Theor. Math. Phys. 16 (2012), no. 5, 1443–1483 MR3056954
The Kontsevich constants for the volume of the moduli of curves and topological recursion
by Kevin Chapman, Motohico Mulase, and Brad Safnuk, Commun. Number Theory Phys. 5 (2011), no. 3, 643–698 MR2864463
Quantum mirror curves for C^3 and the resolved conifold
by Jian Zhou
The spectral curve and the Schroedinger equation of double Hurwitz numbers and higher spin structures
by Motohico Mulase, Sergey Shadrin, and Loek Spitz, Commun. Number Theory Phys. 7 (2013), no. 1, 125-143 MR3108774
Topological recursion for the Poincare polynomial of the combinatorial moduli space of curves
by Motohico Mulase and Michael Penkava, Adv. Math. 230 (2012), no. 3, 1322-1339 MR2921181
The Laplace transform, mirror symmetry, and the topological recursion of Eynard-Orantin
by Motohico Mulase, Geometric methods in physics, 127-142, Trends Math., Birkhäuser/Springer, Basel, 2013 MR3363998
Quantum curves for simple Hurwitz numbers of an arbitrary base curve
by Xiaojun Liu, Motohico Mulase, and Adam Sorkin, Topological recursion and its influence in analysis, geometry, and topology, 533-549, Proc. Sympos. Pure Math., 100, Amer. Math. Soc., Providence, RI, 2018 MR3888791
About the $x-y$ symmetry of the $F_g$ algebraic invariants
by Bertrand Eynard and Nicolas Orantin
Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture
by Bertrand Eynard and Nicolas Orantin, Comm. Math. Phys. 337 (2015), no. 2, 483-567 MR3339157
Invariants of spectral curves and intersection theory of moduli spaces of complex curves
by Bertrand Eynard, Commun. Number Theory Phys. 8 (2014), no. 3, 541-588 MR3282995
Intersection numbers of spectral curves
by Bertrand Eynard
Quantum spectral curve for the Gromov-Witten theory of the complex projective line
by Petr Dunin-Barkowski, Motohico Mulase, Paul Norbury, Alexandr Popolitov, and Sergey Shadrin, J. Reine Angew. Math. 726 (2017), 267–289 MR3641659
The spectral curve of the Eynard-Orantin recursion via the Laplace transform
by Olivia Dumitrescu, Motohico Mulase, Brad Safnuk, and Adam Sorkin, Algebraic and geometric aspects of integrable systems and random matrices, 263-315, Contemp. Math., 593, Amer. Math. Soc., Providence, RI, 2013 MR3087960
Quantum curves for Hitchin fibrations and the Eynard-Orantin theory
by Olivia Dumitrescu and Motohico Mulase
Fermionic gluing principle of the topological vertex
by Fusheng Deng and Jian Zhou, J. High Energy Phys. 2012, no. 6, 166, front matter+26 pp MR3006827
On fermionic representation of the Gromov-Witten invariants of the resolved Conifold
by Fusheng Deng and Jian Zhou
Intersection numbers on Deligne-Mumford moduli spaces and quantum Airy curve
by Jian Zhou
Mirror symmetry for orbifold Hurwitz numbers
by Vincent Bouchard, Daniel Hernandez Serrano, Xiaojun Liu, and Motohico Mulase, J. Differential Geom. 98 (2014), no. 3, 375-423 MR3263522
Abstract loop equations, topological recursion, and applications
by Gaëtan Borot, Bertrand Eynard, and Nicolas Orantin, Commun. Number Theory Phys. 9 (2015), no. 1, 51-187 MR3339853
All-order asymptotics of hyperbolic knot invariants from non-perturbative topological recursion of A-polynomials
by Gaëtan Borot and Bertrand Eynard, Quantum Topol. 6 (2015), no. 1, 39-138 MR3335006
A generalized topological recursion for arbitrary ramification
by Vincent Bouchard, Joel Hutchinson, Prachi Loliencar, Michael Meiers, and Matthew Rupert, Ann. Henri Poincaré 15 (2014), no. 1, 143-169 MR3147410
Identification of latent variables in graphical models
Elizabeth Allman, John Rhodes, Elena Stanghellini, and Marco Valtorta
Papers:
Parameter identifiability of discrete Bayesian networks with hidden variables
by Elizabeth S. Allman, John A. Rhodes, Elena Stanghellini, and Marco Valtorta, Journal of Causal Inference
Hausdorff geometry of complex polynomials, positive charge distributions and normal operators
Julius Borcea, Dmitry Khavinson, Rajesh Pereira, Mihai Putinar, Edward Saff, Blagovest Sendov, and Serguei Shimorin
Papers:
A relative Grace Theorem for complex polynomials
by Daniel Plaumann and Mihai Putinar, Math. Proc. Cambridge Philos. Soc. 161 (2016), no. 1, 17-30 MR3505666
Quillen property of real algebraic varieties
by Mihai Putinar and Claus Scheiderer, Münster J. Math. 7 (2014), no. 2, 671-696 MR3426234
Riesz polarization inequalities in higher dimensions
by Tamas Erdélyi and Edward B. Saff, J. Approx. Theory 171 (2013), 128-147 MR3053720
Polarization optimality of equally spaced points on the circle for discrete potentials
by D. P. Hardin, A. P. Kendall, and E. B. Saff, Discrete Comput. Geom. 50 (2013), no. 1, 236-243 MR3070548
Borcea's variance conjectures on the critical points of polynomials
by Dmitry Khavinson, Rajesh Pereira, Mihai Putinar, Edward B. Saff, and Serguei Shimorin, Notions of positivity and the geometry of polynomials, 283-309, Trends Math., Birkhäuser/Springer Basel AG, Basel, 2011 MR3051172
Applications of thin position to uniqueness problems
Ryan Blair, Marion Campisi, Jesse Johnson, Scott Taylor, and Maggy Tomova
Papers:
Distance two links
by Ryan Blair, Marion Campisi, Jesse Johnson, Scott A. Taylor, and Maggy Tomova, Geom. Dedicata 180 (2016), 17-37 MR3451454
Exceptional and cosmetic surgeries on knots
by Ryan Blair, Marion Campisi, Jesse Johnson, Scott A. Taylor, and Maggy Tomova, Math. Ann. 367 (2017), no. 1-2, 581–62 MR3606449
Genus bounds bridge number for high distance knots
by Ryan Blair, Marion Campisi, Jesse Johnson, Scott A. Taylor, and Maggy Tomova
Computations with explicit reduction theories
Mathieu Dutour Sikiric, Herbert Gangl, Paul Gunnells, Jonathan Hanke, Achill Schuermann, Martin Weissman, and Dan Yasaki
Papers:
On the topological computation of K4 of the Gaussian and Eisenstein integers
by Mathieu Dutour Sikiric, Herbert Gangl, Paul E. Gunnells, Jonathan Hanke, Achill Schuermann, and Dan Yasaki, J. Homotopy Relat. Struct. 14 (2019), no. 1, 281-291 MR3913976
The Voronoi cone method for homology computations
by Herbert Gangl, Paul E. Gunnells, Jonathan Hanke, Achill Schuermann, Mathieu Dutour Sikiric, and Dan Yasaki
On the cohomology of linear groups over imaginary quadratic fields
by Herbert Gangl, Paul E. Gunnells, Jonathan Hanke, Achill Schuermann, Mathieu Dutour Sikiric, and Dan Yasaki, J. Pure Appl. Algebra 220 (2016), no. 7, 2564-2589 MR3457984
Microlocal analysis and imaging
Gaik Ambartsoumian, Raluca Felea, Venky Krishnan, Clifford Nolan, and Eric Quinto
Papers:
Singular FIOs in SAR Imaging, II: Transmitter and Receiver at Different Speeds
by Gaik Ambartsoumian, Raluca Felea, Venkateswaran Krishnan, and Clifford Nolan, SIAM J. Math. Analysis, 50(1)2018, 591-621.
Microlocal Analysis and Imaging
by Gaik Ambartsoumian, Raluca Felea, Venkateswaran Krishnan, Cliff Nolan , The Mathematics of the Planet Earth: An International Year of Scientific and Outreach Activities, Chapter 7.6, pages 116-119, Editors, Hans Kaper and Christianne Rousseau, SIAM, Philadelphia, 2015.
Common Midpoint versus Common Offset Acquisition Geometry in Seismic Imaging
by Raluca Felea, Venkateswaran Krishnan, and Clifford Nolan, Inverse Problems and Imaging, 10(a)(2016), 87-102
Microlocal analysis in tomography, Handbook of Mathematical Methods in Imaging, 2e
by V. P. Krishnan and E. T. Quinto, Scherzer O. (eds) Handbook of Mathematical Methods in Imaging. Springer, Berlin, Heidelberg, Online ISBN 978-3-642-27795-5
Inversion of the spherical Radon transform in a spherical shell
by G. Ambartsoumian, R. Gouia-Zarrad, and V.P. Krishnan
Injectivity and exact inversion of ultrasound operator in the spherical geometry,
by G. Ambartsoumian and V. P. Krishnan
A class of singular Fourier integral operators in synthetic aperture radar imaging
by G. Ambartsoumian, R. Felea, V. P. Krishnan, C. Nolan, and E. T. Quinto, J. Funct. Anal. 264 (2013), no. 1, 246-269 MR2995706
Microlocal analysis of an ultrasound transform with circular source and receiver trajectories
by Gaik Ambartsoumian, Venky P. Krishnan, and Eric Todd Quinto, Geometric analysis and integral geometry, 45-58. Contemp. Math., 598, Amer. Math. Soc., Providence, RI, 2013 MR3156437
Viscosity solutions for Hamilton-Jacobi PDEs in the space of probability measures
Lorenzo Bertini, Jin Feng, Fausto Gozzi, Thomas Kurtz, and Andrzej Swiech
Papers:
Optimal control for a mixed flow of Hamiltonian and gradient type in space of probability measures
by J. Feng and A. Swiech, Trans. Amer. Math. Soc. 365 (2013), no. 8, 3987–4039 MR3055687
Optimal transport and large number of particles
by W. Gangbo and A. Swiech, Discrete Contin. Dyn. Syst. 34 (2014), no. 4, 1397–1441 MR3117847
Augmentations, rulings, and generating families
Dmitry Fuchs, Michael Henry, Paul Melvin, Dan Rutherford, Josh Sabloff, and Lisa Traynor
Papers:
Computing Homology Invariants of Legendrian Knots
by Emily E. Casey and Michael B. Henry, J. Knot Theory Ramifications 23 (2014), no. 11, 1450056, 18 pp MR3293043
Ruling polynomials and augmentations over finite fields
by Michael B. Henry and Dan Rutherford, J. Topol. 8 (2015), no. 1, 1-37 MR3335247
Equivalence classes of augmentations and Morse complex sequences of Legendrian knots
by Michael B. Henry and Dan Rutherford, Algebr. Geom. Topol. 15 (2015), no. 6, 3323-3353 MR3450763
A combinatorial DGA for Legendrian knots from generating families
by Michael B. Henry and Dan Rutherford, Commun. Contemp. Math. 15 (2013), no. 2, 1250059, 60 pp MR3037194
Obstructions to Lagrangian cobordisms between Legendrian submanifolds
by Joshua M. Sabloff and Lisa Traynor, Algebr. Geom. Topol. 13 (2013), no. 5, 2733-2797 MR3116302
Simplicial volume and the barycenter method
Michelle Bucher, Chris Connell, Roberto Frigerio, Jean-Francois Lafont, Roman Sauer, and Ben Schmidt
Papers:
Vanishing simplicial volume for certain affine manifolds
by Michelle Bucher, Chris Connell, and Jean-François Lafont, Proc. Amer. Math. Soc. 146 (2018), no. 3, 1287–1294 MR3750239
Volume and homology growth of aspherical manifolds
by Roman Sauer, Geom. Topol. 20 (2016), no. 2, 1035-1059 MR3493098
Gaussian beam superposition methods for high frequency wave propagation
Hailiang Liu, Maksym Pryporov, James Ralston, Olof Runborg, Nicolay Tanushev, and Neelesh Tiruviluamala
Papers:
Gaussian beam methods for the Helmholtz equation
by Hailiang Liu, James Ralston, Olof Runborg, and Nicolay M. Tanushev, SIAM J. Appl. Math. 74 (2014), no. 3, 771-793 MR3215069
Problems of division in quasi-analytic classes
Francesca Acquistapace, Fabrizio Broglia, Michail Bronshtein, Andreea Nicoara, and Nahum Zobin
Papers:
Failure of the Weierstrass Preparation Theorem in quasi-analytic Denjoy-Carleman rings
by Francesca Acquistapace, Fabrizio Broglia, Michail Bronshtein, Andreea Nicoara, and Nahum Zobin, Adv. Math. 258 (2014), 397-413 MR3190431
Descriptive inner model theory
Andres Caicedo, Paul Larson, Grigor Sargsyan, Ralf Schindler, John Steel, and Martin Zeman
Papers:
Square principles in Pmax extensions
by Andres Caicedo, Paul Larson, Grigor Sargsyan, Ralf Schindler, John Steel, and Martin Zeman, Israel J. Math. 217 (2017), no. 1, 231-261 MR3625110
L-functions in explicit terms
David Farmer, Ameya Pitale, Nathan Ryan, and Ralf Schmidt
Papers:
Analytic L-functions: Definitions, Theorems, and Connections
by David W. Farmer, Ameya Pitale, Nathan C. Ryan, and Ralf Schmidt, Bull. Amer. Math. Soc. (N.S.) 56 (2019), no. 2, 261-280 MR3923345
Characterizations of the Saito-Kurokawa lifting: a survey
by David W. Farmer, Ameya Pitale, Nathan C. Ryan, and Ralf Schmidt, Rocky Mountain J. Math. 43 (2013), no. 6, 1747-1757 MR3178443
Multiplicity one for $L$-functions and applications
by David W. Farmer, Ameya Pitale, Nathan C. Ryan and Ralf Schmidt
Nonlinear wave equations and integrable systems
Mark Ablowitz, Gino Biondini, Anh Bui, Emily Fagerstrom, Guenbo Hwang, Daniel Kraus, Barbara Prinari, Paolo Santini, and Avrom Trubatch
Papers:
Polarization interactions in multi-component defocusing media
by G. Biondini, D. K. Kraus, B. Prinari and F. Vitale, J. Phys. A 48, 395202 (2015)
The defocusing nonlinear Schrödinger equation with fully asymmetric non-zero boundary conditions
by G. Biondini, E. Fagerstrom and B. Prinari
Inverse scattering transform for the defocusing Manakov system with non-zero boundary conditions
by G. Biondini and D. K. Kraus, SIAM J. Math. Anal. 47, 607-757 (2015)
The integrable nature of modulational instability
by G. Biondini and E. Fagerstrom, SIAM J. Appl. Math. 75, 136-163 (2015)
The three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions
by G. Biondini, D. K. Kraus and B. Prinari, Commun. Math. Phys. 348, 475-533 (2016)
Dark-bright soliton solutions with nontrivial polarization interactions for the three-component defocusing nonlinear Schrodinger equation with nonzero boundary conditions
by G. Biondini, B. Prinari and F. Vitale, J. Math. Phys. 56, 071505 (2015)
On the spectrum of the Dirac operator and the existence of discrete eigenvalues for the defocusing nonlinear Schrödinger equation
by G. Biondini and B. Prinari , Stud. App. Math. 132, pp. 138-159 2014 MR3167091
The inverse scattering transfom for the defocusing nonlinear Schroedinger equation with nonzero boundary conditions
by F. Demontis, B. Prinari, C. van der Mee, and F. Vitale,Stud. App. Math. 131, pp 1-40, 2013, J. Math. Phys. 55 (2014), no. 10, 101505, 40 pp. MR3390449
2012
Partition theory and polyhedral geometry
Matthias Beck, Benjamin Braun, Matthias Koeppe, Peter Paule, Carla Savage, and Zafeirakis Zafeirakopoulos
Papers:
s-Lecture hall partitions, self-reciprocal polynomials, and Gorenstein cones
by Matthias Beck, Benjamin Braun, Matthias Koeppe, Carla Savage, and Zafeirakis Zafeirakopoulos, Ramanujan J. 36 (2015), no. 1-2, 123-147 MR3296715
Compositions constrained by graph Laplacian minors
by Benjamin Braun, Robert Davis, Ashley Harrison, Jessica McKim, Jenna Noll, and Clifford Taylor, Integers 13 (2013), Paper No. A41, 22 pp MR3097155
Lattice point generating functions and symmetric cones
by Matthias Beck, Thomas Bliem, Benjamin Braun, and Carla Savage, J. Algebraic Combin. 38 (2013), no. 3, 543-566 MR3104728
Mahonian partition identities via polyhedral geometry
by Matthias Beck, Benjamin Braun and Nguyen Le, From Fourier analysis and number theory to Radon transforms and geometry, 41-54, Dev. Math., 28, Springer, New York, 2013 MR2986952
Euler-Mahonian statistics via polyhedral geometry
by Matthias Beck and Benjamin Braun, Adv. Math. 244 (2013), 925-954 MR3077893
Directional discrepancy
Dmitriy Bilyk, William Chen, Xiaomin Ma, Jill Pipher, Craig Spencer, and Armen Vagharshakyan
Papers:
Diophantine approximation and directional discrepancy of rotated lattices
by Bilyk, Dmitriy, Ma, Xiaomin, Pipher, Jill, Spencer, Craig, Trans. Amer. Math. Soc. 368 (2016), no. 6, 3871–3897 MR3453360
Directional discrepancy in two dimensions
by Dmitriy Bilyk, Xiaomin Ma, Jill Pipher, and Craig Spencer, Bull. Lond. Math. Soc. 43 (2011), no. 6, 1151-1166 MR2861537
Modeling cortical spreading depression
KC Brennan, Josh Chang, Thomas Chou, Dongdong He, Huaxiong Huang, Robert Miura, Phillip Wilson, Jonathan Wylie, and Wei Yao
Papers:
Dynamics of calcium signal and leukotriene C4 release in mast cells network induced by mechanical stimuli and modulated by interstitial fluid flow
by Wei Yao, Hongwei Yang, Yabei Li and Guangdong Ding, Adv. Appl. Math. Mech. 8 (2016), no. 1, 67–81 MR3436002
A dynamics model of calcium signaling and LTC4 release induced by mechanical stimuli in mast cells
by Wei Yao
A mathematical model of the metabolic and perfusion effects on cortical spreading depression
by Joshua C. Chang, K. C. Brennan, Dongdong He, Huaxiong Huang, Robert M. Miura, Phillip L. Wilson, and Jonathan J. Wylie
A continuum neuronal model for the instigation and propagation of cortical spreading depression
by Wei Yao, Huaxiong Huang, and Robert M. Miura, Bull. Math. Biol. 73 (2011), no. 11, 2773-2790 MR2855191
Ehrhart functions
Maria Baldoni, Nicole Berline, Jesus De Loera, Brandon Dutra, Matthias Koeppe, Gregory Pinto, and Michele Vergne
Papers:
Coefficients of Sylvester's Denumerant
by Velleda Baldoni, Nicole Berline, Jess De Loera, Brandon Dutra, Matthias Koppe and Michele Vergne, Integers 15 (2015), Paper No. A11, 32 pp MR3335388
Intermediate Sums on Polyhedra II: Bidegree and Poisson Formula
by Velleda Baldoni, Nicole Berline, Jess A. De Loera, Matthias Koppe and Michele Vergne, Mathematika 62 (2016), no. 3, 653-684 MR3464986
Three Ehrhart Quasi-polynomials
by Velleda Baldoni, Nicole Berline, Jesús A. De Loera, Matthias Koppe and Michele Vergne, Algebr. Comb. 2 (2019), no. 3, 379-416 MR3968744
Software for Exact Integration of Polynomials over Polyhedra
by Jesus De Loera, Brandon Dutra, Matthias Koeppe, Stanislav Moreinis, Gregory Pinto, and Jianqiu Wu
Intermediate Sums on Polyhedra: Computation and Real Ehrhart Theory
by Velleda Baldoni, Nicole Berline, Matthias Köppe, and Michéle Vergne, Mathematika 59 (2013), no. 1, 1-22 MR3028168
Computation of the highest coefficients of weighted Ehrhart quasi-polynomials of rational polyhedra
by Velleda Baldoni, Nicole Berline, Jesús A. De Loera, Matthias Kóppe, and Michéle Vergne, Found. Comput. Math. 12 (2012), no. 4, 435-469 MR2946460
2011
Nonsmooth and nonconvex optimization problems with matrix variables
Xiaojun Chen, Zhaosong Lu, Jiawang Nie, Jiming Peng, and Jane Ye
Higher divergence functions
Aaron Abrams, Noel Brady, Pallavi Dani, Moon Duchin, and Robert Young
Papers:
Homological and homotopical Dehn functions are different
by Aaron Abrams, Noel Brady, Pallavi Dani, and Robert Young, Proc. Natl. Acad. Sci. USA 110 (2013), no. 48, 19206-19212 MR3153947
Filling loops at infinity in the mapping class group
by Aaron Abrams, Noel Brady, Pallavi Dani, Moon Duchin, and Robert Young, Michigan Math. J. 61 (2012), no. 4, 867-874 MR3049293
Pushing fillings in right-angled Artin groups
by Aaron Abrams, Noel Brady, Pallavi Dani, Moon Duchin, and Robert Young, J. Lond. Math. Soc. (2) 87 (2013), no. 3, 663-688 MR3073670
Algebraic K-groups
Vigleik Angeltveit, Andrew Blumberg, Teena Gerhardt, and Michael Hill
Papers:
Topological cyclic homology via the norm
by V. Angeltveit, A. Blumberg, T. Gerhardt, M. Hill, T. Lawson, and M. Mandell, Doc. Math. 23 (2018), 2101-2163 MR3933034
Interpreting the Bokstedt smash product as the norm
by Vigleik Angeltveit, Andrew J. Blumberg, Teena Gerhardt, Michael A. Hill, and Tyler Lawson, Amer. Math. Soc. 144 (2016), no. 12, 5419-5433 MR3556283
On the algebraic K-theory of truncated polynomial algebras in several variables
by Vigleik Angeltveit, Teena Gerhardt, Michael A. Hill and Ayelet Lindenstrauss, J. K-Theory 13 (2014), no. 1, 57-81 MR3177818
Towards solving Smale's sixth problem
Alain Albouy, Eduardo Goes Leandro, Marshall Hampton, Anders Jensen, Vadim Kaloshin, John Little, Rick Moeckel, Gareth Roberts, and Manuele Santoprete
Papers:
Relative equilibria in the four-vortex problem with two pairs of equal vorticities
by Marshall Hampton, Gareth E. Roberts, and Manuele Santoprete, J. Nonlinear Sci. 24 (2014), no. 1, 39-92 MR3162500
Finiteness of spatial central configurations in the five-body problem
by Marshall Hampton and Anders Jensen, Celestial Mech. Dynam. Astronom. 109 (2011), no. 4, 321-332 MR2783101
On the topology of the double spherical pendulum
by Shengda Hu, Eduardo Leandro, and Manuele Santoprete , Regul. Chaotic Dyn. 17 (2012), no. 1, 36-53 MR2886625
Algebraic topology and physics
Matthew Ando, John Francis, Nora Ganter, Mike Hill, Mikhail Kapranov, Nitu Kitchloo, David Lipsky, Jack Morava, Corbett Redden, and Hisham Sati
Papers:
Parametrized spectra, multiplicative Thom spectra, and the twisted Umkehr map
by Matthew Ando, Andrew J. Blumberg, and David Gepner, Geom. Topol. 22 (2018), no. 7, 3761–3825 MR3890766
On the geometry of the supermultiplet in M-theory
by Hisham Sati, Int. J. Geom. Methods Mod. Phys. 8 (2011), no. 7, 1519-1551 MR2873821
Geometric and topological structures related to M-branes
by Hisham Sati, Int. J. Geom. Methods Mod. Phys. 8 (2011), no. 5, 1097-1116 MR2838539
On anomalies of E8 gauge theory on String manifolds
by Hisham Sati, Internat. J. Modern Phys. A 26 (2011), no. 13, 2177-2197 MR2803340
OP2 bundles in M-theory
by Hisham Sati, Commun. Number Theory Phys. 3 (2009), no. 3, 495-530 MR2591881
The String bordism of $BE_8$ and $BE_8\times BE_8$ through dimension 14
by Michael A. Hill, Illinois J. Math. 53 (2009), no. 1, 183-196 MR2584941
String orientations of simplicial homology manifolds
by Jack Morava, Adv. Theor. Math. Phys. 14 (2010), no. 3, 991-1000 MR2801416
Hybrid optimization methods
Ioannis Akrotirianakis, Katie Fowler, Matthew Grace, Genetha Gray, Josh Griffin, Thomas Hemker, Loren Matott, and Matthew Parno
Papers:
Derivative Free Surrogate Optimization for Mixed-Integer Nonlinear Black Box Problems in Engineering
by Thomas Hemker
Hybrid optimization schemes for simulation-based problems
by Genetha Gray, Katie Fowler, Josh Griffin
Isometric embedding of higher dimensional Riemannian manifolds
Gui-Qiang Chen, Jeanne Clelland, Marshall Slemrod, Dehua Wang, and Deane Yang
Papers:
Isometric embedding via strongly symmetric positive systems
by Gui-Qiang Chen, Jeanne Clelland, Marshall Slemrod, Dehua Wang, and Deane Yang, Asian J. Math. 22 (2018), no. 1, 1–40 MR3805155
Lectures on the Isometric Embedding Problem - Proceedings of International Center for Math
by Marshall Slemrod, Differential geometry and continuum mechanics, 77–120, Springer Proc. Math. Stat., 137, Springer, Cham, 2015 MR3447485
Weak Continuity of the Gauss-Codazzi-Ricci System for Isometric Embedding
by Gui-Qiang Chen, Marshall Slemrod, and Dehua Wang, Proc. Amer. Math. Soc. 138 (2010), no. 5, 1843-1852 MR2587469
Arrangements, logarithmic vector fields, and D-modules
Graham Denham, Hal Schenck, Mathias Schulze, Max Wakefield, and Uli Walther
Papers:
Dual logarithmic residues and free complete intersections
by Michel Granger and Mathias Schulze, Compos. Math. 150 (2014), no. 9, 1607-1622 MR3260143
A geometric deletion-restriction formula
by Graham Denham, Mehdi Garrousian, and Mathias Schulze, Adv. Math. 230 (2012), no. 4-6, 1979-1994 MR2927361
Local cohomology of logarithmic forms
by Graham Denham, Hal Schenck, Mathias Schulze, Uli Walther, and Max Wakefield, Ann. Inst. Fourier (Grenoble) 63 (2013), no. 3, 1177-1203 MR3137483
Freeness and multirestriction of hyperplane arrangements
by Mathias Schulze, Compos. Math. 148 (2012), no. 3, 799-806 MR2925399
Complexes, duality and Chern classes of logarithmic forms along hyperplane arrangements
by Graham Denham and Mathias Schulze, Arrangements of hyperplanes, Sapporo 2009, 27-57, Adv. Stud. Pure Math., 62, Math. Soc. Japan, Tokyo, 2012 MR2933791
2010, or earlier
The Kadison-Singer problem
Bernhard Bodmann, Jameson Cahill, Peter Casazza, Vern Paulsen, Darin Speegle, and Darrin Speegle
Papers:
Revisiting the Bourgain-Tzafriri restricted invertibility theorem
by Peter Casazza and Janet Tremain, Oper. Matrices 3 (2009), no. 1, 97-110 MR2500595
Concrete constructions of non-pavable projections
by Peter G. Casazza, Matt Fickus, Dustin Mixon, and Janet C. Tremain, Oper. Matrices 5 (2011), no. 2, 351–363 MR2830604
The Kadison-Singer problem and the uncertainty principle
by Peter Casazza and Eric Weber, Proc. Amer. Math. Soc. 136 (2008), no. 12, 4235-4243 MR2431036
Projections and the Kadison-Singer problem
by Peter Casazza, Dan Edidin, D kalra, and Vern Paulsen, Oper. Matrices 1 (2007), no. 3, 391-408 MR2344683
The Feichtinger Conjecture and Reproducing Kernel Hilbert Spaces
by Sneh Lata and Vern I. Paulsen, Indiana Univ. Math. J. 60 (2011), no. 4, 1303-1317 MR2975345
Syndetic sets, paving, and the Feichtinger conjecture
by Vern I. Paulsen, Proc. Amer. Math. Soc. 140 (2012), no. 6, 1997-2001 MR2888187
A brief introduction to Hilbert space frame theory and its applications
by Peter G. Casazza and Janet C. Tremain, Finite frame theory, 1-51, Proc. Sympos. Appl. Math., 73, AMS Short Course Lecture Notes, Amer. Math. Soc., Providence, RI, 2016 MR3526431
Spanning and independence properties of frame partitions
by Bernhard G. Bodmann, Peter G. Casazza, Vern I. Paulsen, and Darrin Speegle, Proc. Amer. Math. Soc. 140 (2012), no. 7, 2193-2207 MR2898683
Fusion frames: Existence and construction
by Robert Calderbank, Peter G. Casazza, Andreas Heinecke, Gitta Kutyniok, and Ali Pezeshki, Adv. Comput. Math. 35 (2011), no. 1, 1-31 MR2805789
Infinite dimensional restricted invertibility
by Peter G. Casazza and Goetz E. Pfander, J. Funct. Anal. 263 (2012), no. 12, 3784-3803 MR2990058
Minimum rank of symmetric matrices described by a graph
Francesco Barioli, Wayne Barrett, Shaun Fallat, Huntington Hall, Daniel Hershkowitz, Leslie Hogben, Bryan Shader, Pauline van den Driessche, and Hein van der Holst
Papers:
Parameters related to tree-width, zero forcing, and maximum nullity of a graph
by F. Barioli, W. Barrett, S. Fallat, H. T. Hall, L. Hogben, B. Shader, P. van den Driessche, and H. van der Holst, J. Graph Theory 72 (2013), no. 2, 146-177 MR3010007
On the Graph Complement Conjecture for minimum rank
by F. Barioli, W. Barrett, S. Fallatt, T. Hall, L. Hogben, H. van der Holst, Linear Algebra Appl. 436 (2012), no. 12, 4373-4391 MR2917415
Zero forcing parameters and minimum rank problems
by F. Barioli, W. Barrett, S. Fallat, T. Hall, L. Hogben, B. Shader, P. van den Driessche, H. van der Holst, Linear Algebra Appl. 433 (2010), no. 2, 401-411 MR2645093
Expected values of parameters associated with the minimum rank of a graph
by Tracy Hall, Leslie Hogben, Ryan Martin, Bryan Shader, Linear Algebra Appl. 433 (2010), no. 1, 101-117 MR2645069
Minimum rank problems
by Leslie Hogben, Linear Algebra Appl. 432 (2010), no. 8, 1961-1974 MR2599835
On the minimum rank of not necessarily symmetric matrices: A preliminary study
by Francesco Barioli, Shaun M. Fallat, H. Tracy Hall, Daniel Hershkowitz, Leslie Hogben, Hein Van Der Holst, and Bryan Shader, Electron. J. Linear Algebra 18 (2009), 126-145 MR2294340
A note on minimum rank and maximum nullity of sign patterns
by Leslie Hogben, Electron. J. Linear Algebra 22 (2011), 203-213 MR2781047
Maximum generic nullity of a graph
by Leslie Hogben and Bryan Shader, Linear Algebra Appl. 432 (2010), no. 4, 857-866 MR2577633
Triangulations of 3-manifolds
William Jaco, Joseph Maher, Darryl McCullough, and Eric Sedgwick
Papers:
Annular-Efficient Triangulations of 3-manifolds
by William Jaco and J. Hyam Rubinstein