Past SQuaREs

2020

The tree property
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
Papers:
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
Roots of Bernstein-Sato polynomials
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

2019

Epidemic dynamics of cholera in non-homogeneous environments
Papers:
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
Papers:
The moduli space of multi-scale differentials
by  Matt Bainbridge, Dawei Chen, Quentin Gendron, Samuel Grushevsky, and Martin Möller

Stratifying module categories
Papers:
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
Detecting nilpotence and projectivity over finite unipotent supergroup schemes
by  Dave Benson, Srikanth B. Iyengar, Henning Krause, and Julia Pevtsova

Geometric frustration in the self-assembly of complex crystals
Papers:
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
Papers:
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
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
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
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
Papers:
Isolation of cuspidal spectrum, with application to the Gan-Gross-Prasad conjecture
by  Raphael Beuzart-Plessis, Yifeng Liu, Wei Zhang, and Xinwen Zhu
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
Dynamical properties of deterministic and stochastic models of reaction networks
Papers:
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
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
Papers:
Filtering the Heegaard Floer contact invariant
by  Cagatay Kutluhan, Gordana Matic, Jeremy Van Horn-Morris, and Andy Wand

Classifying fusion categories
Papers:
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
Mathematical modeling of adaptive biological networks
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
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

Mathematical analysis of inverse problems in seismology and radar
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
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
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
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
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
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

The isomorphism problem for rank-1 transformations
Papers:
Disjointness between bounded rank-one transformations
by  Su Gao and Aaron Hill

Ideals in algebraic systems biology
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Papers:
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
Modularity of generating series of divisors on unitary Shimura varieties
by  Jan Bruinier, Benjamin Howard, Stephen S. Kudla, Michael Rapoport, and Tonghai Yang

Fast matrix multiplication via representation theory of finite groups
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Singular cardinal combinatorics
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
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
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
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
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
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
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
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
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
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
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
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

Ordinary powers and symbolic powers
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
Higher divergence functions
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
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
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
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
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
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
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
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
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
Papers:
Annular-Efficient Triangulations of 3-manifolds
by  William Jaco and J. Hyam Rubinstein