Abstracts - grouped by session

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• Plenary Speakers
• Prize Lectures
• Coxeter-James Prize Lecture
• Doctoral Prize Lecture
• Adrien Pouliot Prize Lecture
• Applied Partial Differential Equations
• Combinatorics
• Discrete and Convex Geometry
• Ergodic Theory
• Graph Theory
• History of Mathematics
• Life Beyond Calculus
• Mathematics Inspired by Biological Models
• Matrix Analysis
• Nonlinear Analysis
• Operator Algebras
• Probability
• Topology
• Variational Analysis and Optimization
• Contributed Papers

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Plenary Speakers    [PDF]

• Robert Guralnick - Probabilistic Methods in Finite Group Theory
• Uffe Haagerup - Free probability and the invariant subspace problem for von Neumann algebras
• Bryna Kra - Additive Combinatorics and Ergodic Theory
• Andrew Majda - New waves, PDEs, and coarse-grained stochastic lattice models for the tropics
• Oded Schramm - Understanding 2D critical percolation: from Harris to Smirnov and beyond

Prize Lectures

• Coxeter-James Prize Lecture    [PDF]
  • Robert McCann - Free Boundaries in Optimal Transport
• Doctoral Prize Lecture    [PDF]
  • Vasilisa Shramchenko - Frobenius structures on Hurwitz spaces
• Adrien Pouliot Prize Lecture
  • Katherine Heinrich

Applied Partial Differential Equations    [PDF]

• Joe Biello - Rossby wave interaction between the tropics and midlatitudes: a novel asymptotic theory and solitary waves
• Anne Bourlioux - Modelling error analysis and estimation for unsteady flamelets
• Alexei Cheviakov - Framework for nonlocally-related PDE systems and nonlocal symmetries: Algorithmic approach
• Amik St. Cyr - Optimized Schwarz methods for high-order spectral elements
• Reinhard Illner - Entropy methods for degenerate drift-diffusion equations
• Nicolas Kevlahan - Multiscale space-time adaptive simulation of 2D turbulence
• Boualem Khouider - Multicloud parametrizations for convectively coupled tropical waves
• Horst Lange - On the controllabilty of nonlinear Schrödinger equations
• Adam Monahan - Covariance Structure of a Fluctuating Midlatitude Jet
• Adam Oberman - Numerical approximation of first and second order non-linear elliptic PDEs
• Vladislav Panferov - Global regularity of one-dimensional solutions of the Boltzmann equation
• Olivier Pauluis - Toward the end of cumulus parameterization
• Francis Poulin - Turbulent self-diffusion in isopycnal coordinates
• Steven Ruuth - Threshold Dynamics for Willmore Flow
• John Scinocca - Wave Forcing, Parameterization, and the Breakdown of Newton's Third Law
• Holger Teismann - Bilinear control of Schrödinger equations with confining potentials
• Vitali Vougalter - Eigenvalues of zero energy in the linearized NLS problem

Combinatorics    [PDF]

• Karoly Bezdek - The illumination problem and the cube
• Iliya Bluskov - Pair Covering Designs with Block Size 6
• Aiden Bruen - Combinatorial characterizations of perfect secrecy
• Jonathan Jedwab - Proof of the Barker array conjecture
• Veselin Jungic - Ramsey Rainbow Theory
• Mark Kayll - A variation of chip firing
• Hadi Kharaghani - On productive Hadamard matrices
• Esther Lamken - A few more Kirkman squares with block size 3
• Pierre Leroux - Characterization and enumeration of projective-planar and toroidal K_3,3-subdivision-free graphs
• Petr Lisonek - Combinatorial families enumerated by quasi-polynomials
• Eric Mendelsohn - When Systems Collide
• Marni Mishna - Walks in the quarter plane
• Daniel Panario - Asymptotics of largest and smallest components in combinatorial structures
• Andrew Rechnitzer - Disproving things is easier when you know they are false-experimenting with two conjectures on pattern-avoiding permutations
• Frank Ruskey - Counting strings over the integers mod a power of two with given elementary symmetric function evaluations
• Carla Savage - Partitions and compositions defined by digraphs
• Brett Stevens - Maximally Pair Separated Round Robin Tournaments: Ordering the Blocks of a Design
• Stephanie van Willigenburg - Multiplicity free expansions of Schur P-functions

Discrete and Convex Geometry    [PDF]

• Karoly Bezdek - On the illumination parameters of smooth convex bodies
• Ted Bisztriczky - Transversals and Convex Sets
• Aiden Bruen - Co-tangency sets and a configuration theorem
• Bob Erdahl - Reducible and irreducible Voronoi polytopes for lattices
• Thomas Hales
• Alex Iosevich - Erdos distance problem in vector spaces over finite fields
• David Kirkpatrick - On the existence and construction of bounded curvature paths in narrow roadways
• Izabella Laba - An incidence theorem for pseudoflats
• Zsolt Langi - Ball-polytopes and 1-convexity
• Marton Naszodi - Touching Homothetic Bodies and Antipodality
• Subhash Suri - Detecting Cuts in Sensor Networks
• Gabor Tardos - Extremal theory of geometric graphs
• Nicole Tomczak-Jaegermann
• Csaba Toth - The number of minimum volume tetrahedra
• Catherine Yan - Crossings and Nestings of Chord Configurations

Ergodic Theory    [PDF]

• Wael Bahsoun - Deterministic representation for position dependent random maps
• Adam Fieldsteel - Relative pressure and the variational principle
• Nikos Frantzikinakis - Sets of multiple recurrence
• Emily Gamber - Topological Properties of D-dimensional Cellular Automata
• Thierry Giordano - Connes and Woods Approximate Transitivity and Dimension Spaces
• Pawel Gora - Properties of invariant densities of random maps
• Guangyue Han - Analyticity of Hidden Markov Chains
• Shafiqul Islam - Approximation of absolutely continious invariant measures for random dynamical systems
• Dave McClendon - Orbit discontinuities of Borel semiflows on Polish spaces
• Randall McCutcheon - Central sets and multiple recurrence for non-amenable group actions
• Marcus Pivato - Crystallographic Defects in Cellular Automata
• Ian Putnam - Orbit equivalence for Cantor minimal Z² systems
• Anthony Quas - SRB measures for expanding mappings
• Joe Rosenblatt - Convergence and Divergence of Convolution Operators
• Dan Rudolph - Kakutani equivalence in the finitary and Cantor minimal categories: the beginnings of a theory
• Ayse Sahin - Directional Entropy, Rank One and Even Kakutani Equivalence of Z^d Actions
• Cesar Silva - Measure-preserving locally scaling transformations of compact-open subsets of non-archimedean local fields
• Pierre Tisseur - Inequalities, equalities between spatial and temporal entropies of cellular automata
• Reem Yassawi - Rank One measures which are not asymptotically randomised by linear cellular automata

Graph Theory    [PDF]

• Richard Anstee - Robustness of the property of being matchable subject to vertex deletion
• Anthony Bonato - Random graph models and the web
• Rick Brewster - Switch invariant homomorphism targets
• Sean Daugherty - Exploring the Influence and Total Influence Numbers of a Graph
• Danny Dyer - Time constrained searching and sweeping
• Stephen Finbow - Generalisations of Domination, Independence and Irredundance
• Shannon Fitzpatrick - Independent Domination, Domination and Chromatic Number
• Patrick Fowler - Cospectrality and the fullerenes
• Luis Goddyn - Silver Cubes
• Gena Hahn - Recent bounds on the injective chromatic number
• Bert Hartnell - Monitoring a Network with fewer Watchpeople: the trade offs
• Nora Hartsfield - Self-dual embeddings of strongly regular self-complementary graphs
• Peter Horak - Perfect dominating sets
• Ross Kang - The t-improper chromatic number of random graphs
• Bill Kocay - Degree Sequence Problems for 3-Hypergraphs
• Jim Liu - On the recognition of probe graphs of some self-complementary classes of perfect graphs
• Joy Morris - Cyclic Hamiltonian (Near-)Decompositions of the Complete Graph
• Wendy Myrvold - Fast Enumeration of All Independent Sets of a Graph
• Ortrud Oellermann - The Strong Metric Dimension of a Graph
• David Pike - Pancyclic PBD block-intersection graphs
• Mateja Sajna - Two models for transitive closure of bipolar weighted digraphs
• Jozsef Solymosi - Extremal problems for linear k-uniform hypergraphs
• Ladislav Stacho - Ordered k-colorings dichotomy
• Baogang Xu - Some results on minimally circular-imperfect graphs

History of Mathematics    [PDF]

• Len Berggren - Creating Mathematics Textbooks in the Thirteenth Century: The Case of Nasir al-Din al-Tusi and Aristarchos of Samos
• Hardy Grant - The Curious Case of the "Mathematicals" in Greek Antiquity
• Alexander Jones - The Euclid Enigma
• Nathan Sidoli - Ratio in the Late Ancient Commentators
• Glen Van Brummelen - Controversies in the Early History of Trigonometry
• Byron Wall - John Venn's Opposition to Probability as Degree of Belief

Life Beyond Calculus    [PDF]

• Malgorzata Dubiel - Hitchhiker's Guide to Mathematics
• Dave Lidstone - Discrete Mathematics in school curricula across Canada
• Peter Liljedahl - Mathematics for the Liberal Arts
• Susan Milner - Unleashing Enthusiasm: Teaching the History of Mathematics
• Susan Oesterle - Mathematics for Liberal Arts: Realities, Opportunities & Challenges
• Frank Ruskey - The Amazing Mathematical Object Factory and its Relatives
• Tara Stuckless - "Math on the Move" in Saskatchewan

Mathematics Inspired by Biological Models    [PDF]

• Julien Arino - An alternative formulation for a delayed logistic equation
• Caroline Bampfylde - Perturbing a littoral-zone lake community to release a biological
• Daniel Coombs - Virus competition at multiple scales
• Eric Cytrynbaum - Finding the center-how to solve simple geometry problems at the cellular scale
• Leah Edelstein-Keshet - Models of actin dynamics and cell motility
• Rod Edwards - Stochastic feedback and beats: a generic model for circadian rhythms
• Meredith Greer - Interaction of Infectious and Noninfectious Proteins in Prion Disease: Models, Simulations, and Steady State Study
• Abba Gumel - Modeling the Impact of an Imperfect Vaccine and ART in Curtailing HIV Spread
• Thomas Hillen - Mathematical Models for Mesenchymal Motion
• Lev Idels - Time delays in periodic harvesting
• Mark Lewis - Spread and persistence of competitive species in advective flows
• Connell McCluskey - Stability for a Class of Epidemic Models with Mass Action Incidence
• Rebecca Tyson - Recolonization of Harvested Forest stands by Tamiasciurus hudsonicus
• Lin Wang - Transient Oscillations in Chemostat Models
• James Watmough - Disease transmission at home and abroad
• Jianhong Wu - Modeling Eradicating Vector-borne Diseases via Structured Culling
• Xingfu Zou - Existence and global attractivity of posititve periodic solution in Lotka-Volterra competition systems with deviating argument

Matrix Analysis    [PDF]

• Tsuyoshi Ando - Indefinite Contractions
• Paul Binding - A generalized eigenvalue problem in the max-algebra
• Wai-Shun Cheung - A matrix approach to the study of generalised derivatives of polynomials
• Man-Duen Choi - Completely Positive Linear Maps
• Shaun Fallat - Compressions of totally positive matrices
• Doug Farenick - Pure matrix states on operator systems
• Peter Gibson - Fast iterative Gaussian quadrature
• Ronald Haynes - Inverse Positivity of Perturbed M-Matrices
• Steve Kirkland - Conditioning of the Entries in Google's PageRank Vector
• Ivo Klemes - Alexandrov's inequality and some conjectures on Toeplitz matrices
• David Kribs - Passive Quantum Error Correction
• Peter Lancaster - The Boundary of the Pseudo-spectrum
• Chi-Kwong Li - Spectrum preserving maps
• Matjaz Omladic - Semigroups of matrices satisfying commutator equations
• Rajesh Pereira - Majorization Relations in the Geometry of Polynomials
• Heydar Radjavi - An Approximate Version of Specht's Theorem
• Peter Rosenthal - Equations such as AX + YB = Z in Matrices and Operators
• Peter Semrl - Maps on matrix spaces
• Michael Tsatsomeros - The Principal Minor Assignment Problem

Nonlinear Analysis    [PDF]

• Rustum Choksi - The Periodic Isoperimetric and Cahn-Hilliard Problems and Nonlocal Perturbations
• Daniela De Silva - A singular energy minimizing free boundary
• Ivar Ekeland - A new type of equation arising from noncommitment in economics
• Pierpaolo Esposito - On a semilinear PDE with a singular nonlinearity
• Richard Froese - AC spectrum for the Anderson model on a tree: a geometric proof
• Nassif Ghoussoub - Concentration estimates for Emden-Fowler equations with boundary singularities and critical growth
• Stephen Gustafson - Schroedinger maps near harmonic maps
• David Hartenstine - Regularity of Weak Solutions of the Monge-Ampère Equation
• Richard Kenyon - Dimers and the complex Burgers equation
• Ruediger Landes - Wave front solutions in the theory of boiling liquids
• Abbas Momeni - Self-dual variational principles for periodic solutions of Hamiltonian and other dynamical systems
• Truyen Nguyen - On Monge-Ampère Type Equations Arising In Optimal Transportation Problems
• Adam Oberman - Numerical methods for Mass Transportation
• Gunther Uhlmann - The Calderon problem with partial data
• Michael Ward - Eigenvalue Optimization, Spikes, and the Neumann Green's Function

Operator Algebras    [PDF]

• Beatriz Abadie - Morita equivalence for Quantum Heisenberg Manifolds
• Berndt Brenken - The isolated ideal of a correspondence associated with a topological quiver
• Ken Davidson - Nest representations of directed graph algebras
• George Elliott - On the classification of non-simple inductive limits of matrix algebras over the interval-the theorem of Robert
• Heath Emerson - A Gysin sequence in noncommutative geometry
• Thierry Giordano - Topological orbit equivalence of free, minimal actions of Z² on the Cantor set
• Daniel Goncalves - An Introduction to New C^*-algebras from Tilings
• Cristian Ivanescu - Continuous trace C^*-algebras with spectrum [0,1], inductive limits of continuous trace C^*-algebras and their classification
• David Kerr - Dynamics and rigidity in simple C^*-algebras
• Claus Koestler - Central Limit Laws on Jones Towers
• Hangfeng Li - A Topology for Ergodic Actions of Compact Quantum Groups
• Huaxin Lin - The Rokhlin property for automorphisms on simple C*-algebras
• Jamie Mingo - Second Order Freeness and Compound Wishart Matrices
• Ian Putnam - Relative K-theory for C^*-algebras and applications
• Gunnar Restorff - Classification of Cuntz-Krieger algebras
• Ana Savu - Closed and exact functions in interacting particle systems

Probability    [PDF]

• Juan Alvarez - Morita approximations to random copolymer localization
• Omer Angel - 1 Dimensional DLA
• Virag Balint - Noise limits for complex eigenvalues
• David Brydges - Joint density for the local times of continuous-time random walks
• Jean-Francois Delmas - Fragmentation associated to continuous random trees
• Antal Jarai - A self-organized critical forest fire model
• Richard Kenyon - Groves, Pfaffians, and crossing probabilities
• Mike Kozdron - Loop-erased random walk and Fomin's identity
• Vlada Limic - Recent progress on the attracting edge problem
• Jeremy Quastel - Travelling fronts in the stochastically perturbed KPP equation
• Bruce Reed - On the diameter of a random Minimum Weight Spanning Tree
• Tom Salisbury - Singular stochastic integral equations
• Chris Soteros - Self-avoiding walk models of random copolymers

Topology    [PDF]

• Alejandro Adem - On spaces of homomorphisms
• Kristine Bauer - The topological Lie operad
• Steven Boyer
• Ian Hambleton - Free actions on products of spheres
• Gabriel Indurskis - On the character varieties of manifolds obtained from the Whitehead link exterior by Dehn filling
• Rick Jardine - Cocycle categories
• Richard Kane - Invariant Theory and Lie Groups
• Robion Kirby - Singular Lefschetz fibrations
• Elena Kudryavtseva - On coincidence points of mappings of the torus into a surface
• Victor Nuñez - Classical drawings of branched coverings
• Dorette Pronk - The Orbifold Construction
• Antonio Ramirez - Open-closed string topology
• Dale Rolfsen - Ordering knot groups
• Laura Scull - The Equivariant Fundamental Groupoid
• Donald Stanley - Refining Poincaré Duality
• Jens von Bergmann - Compactness for Moduli Spaces of H-Holomorphic Maps
• Genevieve Walsh - Which knots are great?
• Liam Watson - Tangle surgery and the Jones polynomial
• Peter Zvengrowski - Recent Progress in the Span of Smooth Manifolds

Variational Analysis and Optimization    [PDF]

• Didier Aussel - On quasiconvex mathematical programming problems with equilibrium constraints
• Heinz Bauschke - Fitzpatrick functions and (cyclically) monotone operators
• Jim Burke - Variational Analysis and the Roots of Polynomials
• Rick Caron - Random methods for the analysis of quadratic constraint sets
• John Dennis - Mesh Adaptive Direct Search Algorithms
• Yuying Li - A Graduated Non-convexity Method for Applications in Finance
• Yves Lucet - Fast Moreau Envelope Algorithms and Applications
• Jiming Peng - 0-1 Semidefinite Programming for Clustering: Modeling and Approximation
• Mohamed Tawhid - On some applications of H-differentiability to optimization and complementarity problems
• Paul Tseng - SOCP Relaxation of Sensor Network Localization
• Xianfu Wang - The extremal characterization of reflexive spaces
• Herre Wiersma - Asplund Decomposition of Monotone Operators
• Henry Wolkowicz - Approximate and Exact Completion Problems for Euclidean Distance Matrices using Semidefinite Programming
• Jane Ye - Optimality conditions for generalized semi-infinite programming problems
• Xiaoming Yuan - Some hybrid methods for structured monotone variational inequalities

Contributed Papers    [PDF]

• Lennard Bakker - The Multiplier Group of a Quasiperiodic Flow
• Robb Fry - Beyond partitions of unity
• Mudassar Imran - The Model of Antibiotic Resistance in Biofilm
• In-Jae Kim - Smith Normal Form and Acyclic Matrices
• Maia Lesosky - Medical Imaging and Euclidean Motion Deconvolution
• Xiao Ping Liu - Determinantal inequalities for certain classes of totally nonnegative matrices
• Tufail Malik - A Resource-Based Model of Microbial Quiescence
• Mitja Mastnak - About Linear Spaces of Matrices
• Michael Szafron - The Probability of Knotting after a Local Strand Passage in an Unknotted SAP
• Luis Verde-Star - Computation of the matrix exponential via the dynamic solution