Abstracts - Grouped by Session

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• Analysis and Geometry of Nonlinear Partial Differential Equations
• Commutative Algebra and Combinatorics
• Compressed Sensing: Theory, Algorithms and Application
• Computational Number Theory
• Convex and Nonsmooth Analysis
• Discrete Mathematics
• Harmonic Analysis and Additive Combinatorics
• History and Philosophy of Mathematics
• Mathematics Education
• Methods in Nonlinear Dynamics
• p-adic groups, Automorphic forms, and Geometry
• Probability in Biology and Computer Science
• Spectral Theory
• Symbolic Dynamics and Ergodic Theory
• Symmetry Methods for Differential Equations
• Theory and Application of Sequences and Arrays
• Contributed Papers

Analysis and Geometry of Nonlinear Partial Differential Equations    [PDF]

• Martial Agueh - Barycenters in the Wasserstein space
• Lia Bronsard - Global minimizers for anisotropic superconductors
• Sun-Sig Byun - Hessian estimates for fourth-order elliptic systems with measurable coefficients
• Rustum Choksi - Asymptotic Analysis of the Dilute Regime in Phase Field Models
• Marina Chugunova - Convergence to equilibrium for a non-wellposed thin film equation
• Jaywan Chung - Long-time asymptotics of the zero level set for the heat equation
• Pengfei Guan - Curvature measures, isoperimetric inequalities and fully nonlinear PDE
• David Hartenstine - Asymptotic statistical characterizations of $p$-harmonic functions of two variables
• Weiyong He - The complex Monge-Ampere equation on compact Kaehler manifolds
• Slim Ibrahim - Global small solutions to the Navier-Stokes-Maxwell equations
• Robert Jerrard - Some remarks on binormal curvature flow
• Yong Jung Kim - The Newtonian potential in a relative sense
• Ki-Ahm Lee - Homogenization of Soft inclusions
• Adam Oberman - Numerical Methods for Geometric Elliptic Partial Differential Equations.
• Brendan Pass - The multi-marginal optimal transportation problem
• Louis P. Saumier - An Efficient Numerical Algorithm for the L2 Optimal Transport Problem with Periodic Densities
• Artur Sowa - Nonlinear eigenvalue problems with applications to quantum systems
• Vitali Vougalter - On the solvability conditions for a linearized Cahn-Hilliard equation
• Jie Xiao - Regularity of Morrey potentials

Commutative Algebra and Combinatorics    [PDF]

• Ali Alilooee - The Betti numbers of the path ideal of a cycle
• Jennifer Biermann - Cellular structure of the minimal free resolutions of edge ideals
• Shelly Bouchat - The Betti Numbers on the Linear Strand and a Bound on the Regularity for Path Ideals of Rooted Trees
• Ragnar-Olaf Buchweitz - Universal Annihilators
• Jaydeep Chipalkatti - Kronecker projections of Specht modules
• David Cook II - Punctured hexagons and almost complete intersections
• Anton Dochtermann - Mixed subdivisions and cellular resolutions of monomial ideals
• Tony Geramita - The Hilbert Function of Linear Arrangements in $\Bbb P^n$: thin and fat
• Andrew Hoefel - Gotzmann squarefree monomial ideals
• Claudia Miller - A direct limit for limit Hilbert-Kunz for smooth projective curves
• Susan Morey - Cores and Reductions of Edge Ideals of Graphs
• Uwe Nagel - Properties of Ferrers and threshold graphs
• Sonja Petrovic - Edge subrings of hypergraphs
• Thuy Pham - The Koszul Complex Blows Up a Point
• Greg Smith - Cones of Hilbert functions
• Rafael Villarreal - Algebraic methods for parameterized linear codes arising from graphs
• Gwyn Whieldon - Resolutions of Nerves of Graphs
• Russ Woodroofe - Matchings, coverings, and Castelnuovo-Mumford regularity

Compressed Sensing: Theory, Algorithms and Application    [PDF]

• Lorne Applebaum - Multiuser Detection in Asynchronous On--Off Random Access Channels Using Lasso
• Stephen Becker - First-order methods for constrained linear inverse problems
• Jim Burke - Sparsity and Nonconvex Nonsmooth Optimization
• Mike Davies - Rank Aware Algorithms for Joint Sparse Recovery
• Laurent Demanet - Fitting matrices from applications to random vectors
• Felix Herrmann - Compressive Sensing and Sparse Recovery in Exploration Seismology
• Gitta Kutyniok - Geometric Separation by Single-Pass Alternating Thresholding
• Zhaosong Lu - Penalty Decomposition Methods for Rank and $l_0$-Norm Minimization
• Hassan Mansour - Recovery of Compressively Sampled Signals Using Partial Support Information
• Ali Pezeshki - Sense and Sensitivity: Model Mismatch in Compressed Sensing
• Holger Rauhut - Recovery of functions in high dimensions via compressive sensing
• Benjamin Recht - The Convex Geometry of Inverse Problems
• Justin Romberg - Random coding for forward modeling
• Rayan Saab - Sobolev Duals of Random Frames and Sigma-Delta Quantization for Compressed Sensing
• Thomas Strohmer - How sparsity can enrich wireless communications
• Ewout van den Berg - Spot - A linear operator toolbox for Matlab
• Rachel Ward - New and improved Johnson-Lindenstrauss embeddings via the Restricted Isometry Property
• Rebecca Willet - Compressed Sensing with Poisson Noise

Computational Number Theory    [PDF]

• Paul Buckingham - Implementing Zagier's inductive procedure for constructing higher $K$-groups of number fields
• Sander Dahmen - Elliptic curves of high rank
• Felix Fontein - Rigorous Computation of Fundamental Units in Number Fields
• Eyal Goren - The computational complexity of generating genus 2 curves suitable for cryptography
• Matt Greenberg - On the computation of algebraic modular forms
• Patrick Ingram - Post-critically finite polynomials
• Matilde Lalin - Higher Mahler measure and Lehmer's question
• Matthew Musson - A Second Look at the GHS Attack on the Elliptic Curve Discrete Log Problem
• Mathew Rogers - Computational proofs of Mahler measure identities
• Renate Scheidler - The $\ell$-Rank Structure of a Global Function Field
• Katherine Stange - Elliptic divisibility sequences and elliptic nets in computation
• Hugh Williams - A Problem Concerning Divisibility Sequences

Convex and Nonsmooth Analysis    [PDF]

• Heinz Bauschke - A Demiclosedness Principle and its Applications
• James V. Burke - On the subdifferential regularity of max root functions for polynomials
• Mclean Edwards - Relationships between classes of monotone operators
• Nassif Ghoussoub - Modern convexity methods in nonlinear PDEs
• Yasin Gocgun - Approximate Dynamic Programming for Dynamic Stochastic Resource Allocation
• Rafal Goebel - Set-valued Lyapunov functions for pointwise asymptotic stability
• Eldad Haber
• Zhaosong Lu - First-order Methods for Constrained Nonsmooth Optimization
• Yves Lucet - Recent Developments in Computational Convex Analysis: Convex Hulls and Graph-Matrix Calculus
• Tamon Stephen - Minimal Conflicting Sets in ancestral genome reconstruction
• Mohamed Tawhid - Solving Nonlinear Complementarity Problem by a Derivative-Free Descent Method
• Shawn Wang - Self-dual Regularization of Monotone Operators via the Resolvent Average
• Lin Xiao - Optimizing Orthogonality
• Liangjin Yao - The sum of a maximal monotone operator of type (FPV) and a maximal monotone operator with full domain is maximal monotone
• Jim Zhu - Why bankers need to know convex analysis
• Yurij Zinchenko - Numerical estimation of the relative entropy of entanglement in Quantum Information Theory

Discrete Mathematics    [PDF]

• Richard Anstee - Forbidden Configurations: Progress towards a Conjecture
• Matt Beck - Symmetrically constrained compositions
• Nantel Bergeron - Primitive orthogonal idempotents for R-trivial monoids
• Karoly Bezdek
• Sara Billey - Singularities of generalized Richardson varieties
• Ted Bisztriczky - Combinatorial Constructions of Polytopes
• Fan Chung - Flipping edges and vertices in graphs
• Chris Godsil - State Transfer of Graphs
• Angele Hamel - Symplectic Schur Function Identities
• Penny Haxel - On Schnyder's Theorem
• David Kirkpatrick - Competitive search in symmetric trees
• Fu Liu - Pure-cycle Hurwitz factorizations and multi-noded rooted trees
• Gary MacGillivray - Injective oriented colourings
• Marni Mishna - Recent progress in exact lattice path enumeration
• Bojan Mohar - Average degree condition forcing complete graph immersion
• Isabella Novik - Face numbers of balanced spheres and manifolds
• Bruce Reed - Some recent evidence for the Erdos-Hajnal Conjecture
• Jeff Remmel - Ascent Sequences, $2+2$-free posets, Upper Triangular Matrices, and Genocchi numbers.
• Frank Ruskey - Tatami Tilings of Rectangles
• Anne Schilling - The Murnaghan-Nakayama rule for $k$-Schur functions
• Rekha Thomas - Cone Lifts of Convex Bodies
• Csaba D. Toth - The size of topological graphs with restricted crossings
• Karen Yeats - Patterns in Feynman graph denominators

Harmonic Analysis and Additive Combinatorics    [PDF]

• Michael Bateman - Hilbert transforms along vector fields
• Karsten Chipeniuk - Sumsets of positive relative density subsets of the primes
• Brian Cook - "Constellations in $P^d$"
• Ciprian Demeter - Proof of the HRT conjecture for special configurations
• Burak Erdogan - Smoothness and decay of dispersion managed solitons
• S. Zubin Gautam - On the finite linear independence of lattice Gabor systems
• John Griesmer - Sumsets with one dense and one infinite summand
• Mariah Hamel - Arithmetic structure in sumsets and difference sets
• Alex Iosevich - Distribution of simplexes, directions, angles and volumes in Euclidean and non-Euclidean settings
• Nets Katz
• Michael Lacey
• Neil Lyall - Simultaneous Polynomial Recurrence
• Richard Oberlin - A variation-norm Carleson theorem
• Steven Senger - ome connections between discrete and continuous geometric combinatorics, with recent illustrative results.
• Olof Sisask - A probabilistic approach to the almost-periodicity of convolutions
• Matthew Smith - On solution-free sets for systems of quadratic equations
• Lindsay Stovall - Averages on curves with affine arclength
• Krystal Taylor - Rotational curvature, Falconer's Distance problem, and Dimensions of sets
• Tyler Whitehouse - Asymptotics for Riesz d-energies of some d-rectifiable manifolds
• Kelan Zhai - The Favard length of product Cantor set with tiling condition

History and Philosophy of Mathematics    [PDF]

• Tom Archibald - Picard and a Galois Theory for Differential Equations
• J. L. Berggren - Numbers and Numerical Algorithms in China and Medieval Islam
• James Evans - New Views of the Antikythera Mechanism
• Deborah Kent - \textit{The American Journal of Mathematics}: Circulation and Community Formation
• Menolly Lysne - Why do we remember Lagrange’s but not Laplace’s work on singular solutions?
• Josipa Petrunic - The local nature of mathematical knowledge: mathematics in Edinburgh, 1830-1870
• Robert Thomas - The dramatis personae of the Spherics of Theodosios
• Glen van Brummelen - The Mathematical Study of Historical Numerical Tables: Successes, Failures, Issues

Mathematics Education    [PDF]

• Melania Alvarez & David Leeming - Math Outreach Initiatives and activities sponsored by PIMS
• Warren Code - "Clicker" use in first year calculus
• Malgorzata Dubiel - Inspiring Mathematical Creativity in Future Elementary Teachers
• Fred Harwood - Crafting Connections Through Creative Chunking
• Jennifer Hyndman - Creative Discomfort in Mathematics Projects
• Djun Kim & Joanne Nakonechy - Cognitive Load Theory for Constructing Questions
• Jesse Mason & Eric Naslund - Student Panel on Creativity
• Sandi Merchant - Assessing and Improving Learning in an Introductory Proof Course
• Costanza Piccolo - The Calculus Workshop Program: An Alternative to Traditional Lectures in a Large Multi-section Course
• Round Table on Creativity
• Nathalie Sinclair - Using dynamic mathematical imagery to promote creativity

Methods in Nonlinear Dynamics    [PDF]

• Juan Artes - ON COPPEL’S DREAM
• Lennard Bakker - Periodic SBC Orbits in the Planar Pairwise Symmetric Problem
• Pietro Luciano Buono - Symmetry-breaking bifurcations of the Hip-Hop orbit
• Florin Diacu - Singularities of the curved n-body problem
• Razvan Fetecau - Nonlocal PDE models for self-organization of biological groups
• Juan Luis García Guirao - $\mathcal{C}^{1}$ self--maps with all their periodic orbits hyperbolic
• Antonio Hernandez-Garduno - Bifurcation and stability of Lagrangian relative equilibria in a generalized three-body problem
• Eduardo Goes Leandro - Applications of Group Theory to the Linear Stability Analysis of Relative Equilibria
• Jaume Llibre - On the integrability of surface vector fields and of polynomial vector fields in $\mathbb{R}^n$ or $\mathbb{C}^n$
• George Patrick - Automatically generated variational integrators
• Manuele Santoprete - Title: On the topology of the double spherical pendulum
• Tanya Schmah - Diffeomorphic Image Matching
• Sebastian Walcher - Quasi-Steady State and Tikhonov's Theorem

p-adic groups, Automorphic forms, and Geometry    [PDF]

• Hesameddin Abbaspour - Indefinite Kac-Moody groups
• Pramod Achar - Derived Satake equivalence and geometric restriction to a Levi subgroup
• Moshe Adrian - Local Langlands correspondence - from real to p-adic groups
• Amir Akbary - Reductions of points on elliptic curves
• Bill Casselman - An explicit formula for the canonical pairing
• Clifton Cunningham - Geometric construction of characters of $\mathbb{Z}_p^\ast$
• Dragos Ghioca - p-adic analysis in algebraic dynamics
• Eyal Goren - Canonical subgroups for Shimura varieties
• Matt Greenberg - $p$-adic interpolation and $p$-adic Jacquet-Langlands
• Masoud Kamgarpour - A family of Satake isomorphisms
• Guillermo Mantilla-Soler - Mordell-Weil ranks in towers of modular Jacobians.
• Paul Mezo - Character identities in twisted endoscopy
• Dragan Milicic - Geometry and Unitarity
• Hadi Salmasian - Fourier coefficients of Siegel Eisenstein series
• Lior Silberman - A uniform spectral gap for congruence covers of a hyperbolic manifold
• Jonathan Sparling - Nilpotents associated to Lie algebras with involution
• Loren Spice - Harmonic analysis on $p$-adic $\operatorname{SL}_2$
• Tasho Statev-Kaletha - L-packets and endoscopy for p-adic groups
• Zhiwei Yun - The Jacquet-Rallis fundamental lemma

Probability in Biology and Computer Science    [PDF]

• Shankar Bhamidi - Flows, first passage percolation and random disorder in networks
• Steve Evans - Trickle-down processes and their boundaries
• Christoph Hauert - Sanctioning institutions for governing the commons
• Alexander Holroyd - Multi-dimensional percolation
• Richard Hoshino - Calibrated Confidence Scoring for Biometric Identification
• Sylvie Meleard - Random modeling of adaptive dynamics for sexual populations
• Yuval Peres - Mobile Geometric Graphs: Detection, Coverage and Percolation
• Leah Popovic
• Bruce Reed - The Lovasz Local Lemma

Spectral Theory    [PDF]

• Ben Adcock - Stable sampling in Hilbert spaces
• Tayeb Aissiou - Semiclassical limits of eigenfunctions of the Laplacian on $\mathbb{T}^{n}$
• Shimon Brooks - Spectral Multiplicities and Arithmetic QUE
• Yaiza Canzani - Scalar curvature of random metrics
• Serguei Denissov - Generic behavior of evolution equations: asymptotics and Sobolev norms
• Ailana Fraser - Geometric bounds on low Steklov eigenvalues
• Joel Friedman - Sheaves in Algebraic Graph Theory and the Hanna Neumann Conjecture
• Carolyn Gordon - Quantum equivalent magnetic fields that are not classically equivalent
• Alex Iosevich - On a fractal variant of the regular value theorem
• Dmitry Jakobson - Lower bounds for Resonances
• Vojkan Jaksic - Quantum Chernoff Bound
• Eugene Kritchevski - The scaling limit of the critical one-dimensional random Schrodinger operator
• Peter Perry - The Davey-Stewartson Equation Revisited
• Emmanuel Schenck - Stabilization for the wave equation without geometric control
• Lior Silberman - Toward high-rank Quantum Unique Ergodicity
• Melissa Tacy - Classical flow and semiclassical eigenfunction estimates
• Balint Virag
• Vitali Vougalter - On the solvability conditions for the diffusion equation with convection terms
• Steve Zelditch - Intertwining classical and quantum mechanics on hyperbolic surfaces

Symbolic Dynamics and Ergodic Theory    [PDF]

• Mahsa Allahbakhshi - Uniform Conditional Distribution and Class Degree
• Marcy Barge - Maximal equicontinuous factors of Pisot family tiling spaces
• Arno Berger - Some dynamical properties of Benford sequences
• Chris Bose - An amateur's guide to the ergodic theory of nonuniformly hyperbolic systems
• Sasha Fish - Ergodic Plunnecke inequalities with applications
• Brady Killough - A construction of the Bowen measure from heteroclinic points
• Jarek Kwapisz - Rigidity and Mapping Class Group for Self-Similar Tiling Spaces
• Doug Lind - Principal Actions of Discrete Groups
• Brian Marcus - Limiting Entropy and Independence Entropy of d-dimensional shift spaces I
• Tom Meyerovitch - Gibbs and equilibrium measures for some families of subshifts
• Robert Moody - Ergodic dynamical systems in the study of diffraction
• Dave Morris - When do subsets of $\{0,1\}^{G \times G}$ contain recurrent points?
• Viorel Nitica - Transitivity of Heisenberg group extensions
• Piotr Oprocha - On distributional chaos and subshifts
• Ronnie Pavlov - Limiting Entropy and Independence Entropy of d-dimensional shift spaces II
• Marcus Pivato - Positive expansiveness versus network dimension in symbolic dynamical systems
• Anthony Quas - Semi-invertible Multiplicative Ergodic Theorems
• Cecilia Gonzalez Tokman - ACIMs for metastable systems
• Reem Yassawi - Adic representations of one sided substitution subshifts

Symmetry Methods for Differential Equations    [PDF]

• Sajid Ali - Symmetry Analysis and Exact Solutions of Semilinear Heat Flow in Multi-Dimensions
• Stephen Anco - New conserved integrals for Euler's equations in $n>1$ spatial dimensions
• Alexei Cheviakov - On Nonlocally Related PDE Systems in Multi-dimensions
• Raouf Dridi
• Changzheng Qu - Conditional Lie Backlund Symmetries and Invariant subspaces of nonlinear parabolic equations
• Thomas Wolf - Integrable non-abelian Laurent ODEs

Theory and Application of Sequences and Arrays    [PDF]

• Robert Bailey - Generalized covering and packing designs
• Jim Davis - Association schemes from McFarland Difference Sets
• Megan Dewar - Monotone Gray Codes for vectors of the form $[-m,m]^k$ and $[0,m]^k$
• Peter Dukes - Randomness expansion using orthogonal arrays
• Frank Fiedler - Non-Existence of Golay Sequence Pairs and Vanishing Sums of Roots of Unity
• Aaron Gulliver - Extended Binary Linear Codes from Legendre Sequences
• Richard Hoshino - A Multi-Round Generalization of the Traveling Tournament Problem and its Application to Japanese Baseball
• Honggang Hu - New Ternary and Quaternary Sequences with Two-Level Autocorrelation
• Jonathan Jedwab - The asymptotic merit factor of binary sequences
• Daniel Katz - Pairs of Maximal Length Sequences with Few Cross-Correlations
• Hadi Kharaghani - Turyn type sequences
• Mahdad Khatirinejad - On the Nonexistence of $3$-Phase Barker Arrays
• Petr Lisonek - Identities for Kloosterman sums
• Daniel Panario - Divisibility of Polynomials over Finite Fields and Combinatorial Applications
• Andrew Rechnitzer - Some numerical experiments on a very combinatorial group
• Kai-Uwe Schmidt - From Dirichlet characters to binary sequences with large merit factor
• Brett Stevens - Sequences in Groups: covering arrays, costas arrays and APN permutations
• Doug Stinson - Some new results and conjectures on Costas and honeycomb arrays
• Stephanie van Willigenburg - Composition tableaux
• Steven Wang - On interleaved sequences of Legendre sequences
• Amy Wiebe - A new source of seed pairs for Golay sequences of length $2^m$

Contributed Papers    [PDF]

• Bhagwan Aggarwala - Entry Inhibitors of HIV
• Reza Akhtar - Small-sum pairs in abelian groups
• Mashhoor Al-Refai - On Some Properties Defined Over Strongly Graded Rings and Graded Modules
• A. Bass Bagayogo - Discrete Element Method for Granular Flow and Cracks Propagation
• Ross Churchley - Monopolar claw-free graphs
• Pinar Colak - Two-sided chain conditions in Leavitt path algebras
• Lorraine Dame - Student Readiness and Success in Entry Level Undergraduate Mathematics
• Dennis Epple - Proper Circular Arc Graphs and Path Systems on Tori
• Ross J. Kang - Maximum bounded-density subgraphs of random graphs
• Huilan Li, Trueman MacHenry - The Convolution Ring of Arithmetic Functions and Symmetric Polynomials
• Shahla Nasserasr - Complete Solution to the TP$_2$-Completion Problem
• James Nastos - A novel branching strategy for parameterized graph modification problems
• Varvara Shepelska - Slicely Countably Determined Banach Spaces
• Chester Jay Weatherby - On the transcendence of Fourier and other infinite series
• Yongjun Xing - Spread of some classes of normal matices