Abstracts - grouped by session

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• Plenary Speakers
• Prize Lectures
• Jeffery-Williams Lecture
• Doctoral Prize Lecture
• Adrien Pouliot Award Lecture
• Public Lecture
• Algebraic Combinatorics
• Calabi-Yau Varieties and Mirror Symmetry
• Cluster Algebras
• Commutative Algebra and Algebraic Geometry
• Complexity and Computability in Analysis, Geometry, and Dynamics
• Differentiable Dynamics and Smooth Ergodic Theory
• Functional Analysis
• Harmonic Analysis
• History of Mathematics
• Knot Homologies
• Mathematical Aspects of Continuum Physics: Analysis, Computation, and Modeling
• Mathematical Biology
• Mathematics Education
• Nonlinear Schrodinger Equations
• Poisson Geometry and Mathematical Physics
• Probabilistic Methods in Analysis and Algebra
• Representations of Algebras
• Contributed Papers

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Plenary Speakers    [PDF]

• Brent Davis - Mathematics-for-Teaching: Where are we with all of this?
• Dmitry Dolgopyat - Fermi acceleration
• Dimitri Shlyakhtenko - L² Invariants, Free Probability and Operator Algebras
• Karen Smith - Uniform Results in Algebra and Geometry via Multiplier Ideals
• Susan Tolman - Group actions and the symplectomorphism group
• Shmuel Weinberger - Quantitative Aspects of Topology

Prize Lectures

• Jeffery-Williams Lecture    [PDF]
  • Andrew Granville - Pretentious characters
• Doctoral Prize Lecture    [PDF]
  • Michael Newman - Using eigenspaces of graphs
• Adrien Pouliot Award Lecture    [PDF]
  • Peter Taylor - The structure of a mathematics curriculum

Public Lecture    [PDF]

• V. Kumar Murty - What is a proof?

Algebraic Combinatorics    [PDF]

• Marcelo Aguiar - Hopf monoids in Species and associated Hopf algebras
• François Bergeron - Harmonics for Steenrod Operators
• Philippe Choquette - The ring of r-quasisymmetric polynomials
• Ian Goulden - Combinatorics and intersection number conjectures
• Aaron Lauve - Noncommutative invariants and coinvariants of the symmetric group
• Rosa Orellana - Hopf algebra of uniform block permutations
• Muge Taskin - The properties of four partial orders on standard Young tableaux
• Hugh Thomas - A combinatorial rule for (co)minuscule Schubert calculus
• Stephanie Van Willigenburg - A combinatorial classification of skew Schur functions

Calabi-Yau Varieties and Mirror Symmetry    [PDF]

• Reza Akhtar - Chow-Kunneth and Lefschetz decompositions for quotients of abelian varieties
• Marie José Bertin - Mahler's measure and L-series of K3 hypersurfaces
• Vincent Bouchard - On the landscape of standard-model bundles on non-simply connected Calabi-Yau threefolds
• Xi Chen - Vojta's 1+epsilon Conjecture and Bergman metric
• Adrian Clingher - On a special class of lattice polarized K3 surfaces
• Chuck Doran - On Stokes Matrices of Calabi-Yau Hypersurfaces
• Yasuhiro Goto - Formal groups of Calabi-Yau threefolds in positive characteristic
• Shengda Hu - T-duality with H-flux from generalized Kähler geometry
• Matt Kerr - Algebraic K-theory and local mirror symmetry
• Nam-Hoon Lee - Some attempt at constructing infinitely many families of Calabi-Yau manifolds
• James Lewis - The Abel-Jacobi Map for Higher Chow Groups, II
• Bong H. Lian - Counting Fourier-Mukai Partners
• Ling Long - On the Coefficients of Noncongruence Modular Forms
• Steven Lu - On complex invariant metrics for some Calabi-Yau varieties
• John McKay - Towards an understanding of Monstrous Moonshine
• Matthias Schuett - Classifying singular K3 surfaces
• Andrey Todorov - Regularized Determinants of CY Metrics, Borchards Products; Applications to K3 Surfaces
• Johannes Walcher - Open Mirror Symmetry on the Quintic
• Shing-Tung Yau - Complex manifolds with torsion
• Jeng-Daw Yu - Local structure on non-supersingular Newton strata of K3 surfaces
• Noriko Yui - Motives, Mirror Symmetry and Modularity

Cluster Algebras    [PDF]

• Aslak Bakke Buan - Cluster-tilted algebras and quiver mutation
• Sergey Fomin - Cluster complexes of bordered surfaces
• Ralf Schiffler - m-replicated algebras and m-cluster categories
• Hugh Thomas - Noncrossing partitions via representations of quivers
• Gordana Todorov - m-cluster categories and m-replicated algebras

Commutative Algebra and Algebraic Geometry    [PDF]

• Luchezar L. Avramov - Koszul modules over small graded rings
• Sunil Chebolu - Which finite p-groups are like a finite product of fields?
• Kia Dalili - The reconstruction conjecture for edge ideals
• Harm Derksen - A symmetric function generalization of the Tutte polynomial
• Neil Epstein - Pieces of closures
• Sara Faridi - On ideals of conjugacy classes of nilpotent matrices
• Noam Horwitz - Linear resolutions of edge ideals
• Colin Ingalls - Spaces of Linear Modules on Regular Graded Clifford algebras
• Srikanth B. Iyengar - Dimension of the stable category of a commutative ring
• David A. Jorgensen - Linear acyclic complexes
• Antonio Laface
• Diane Maclagan - Equations and degenerations of [`(M)]_0,n
• Claudia Miller - A Riemann-Roch formula for the blow-up of a nonsingular affine scheme
• Irena Peeva - Generalized Green's Theorem
• Thuy Pham - jdeg of algebraic structures
• Ravi Vakil - Murphy's Law in algebraic geometry: badly-behaved moduli spaces
• Adam Van Tuyl - Some resolutions of double points in P¹ × P¹
• Mauricio Velasco - Grobner bases, monomial group actions and the Cox rings of Del Pezzo surfaces
• Alexander Yong - A combinatorial rule for (co)minuscule Schubert calculus

Complexity and Computability in Analysis, Geometry, and Dynamics    [PDF]

• Carlos Beltran - Advances in homotopy methods for solving systems of complex polynomial equations
• Ilia Binder - Computational complexity of conformal maps
• Mark Braverman - Computability and non-Computability of Julia sets
• Joel Hass - Complexity of Knotting
• Pascal Koiran - Decision versus evaluation in algebraic complexity theory
• Avner Magen - Integrality gaps of SDP for Vertex Cover and relations to l₁ embeddability of negative type metrics
• Donald Marshall - Geodesic zippers
• Volodymyr Nekrashevych - Algorithmic aspects of self-similar groups
• Mark Sapir - Computational complexity and the Dehn functions of groups
• Richard Schwartz - billiards obtuse and irrational
• Yosef Yomdin - Fourier Transform of Semi-Algebraic Functions

Differentiable Dynamics and Smooth Ergodic Theory    [PDF]

• Jayadev Athreya - A lattice point problem in Teichmuller space
• Pavel Batchourine - On ergodicity of multidimensional dispersing billiards
• Bassam Fayad - Smooth linearization of commuting circle diffeomorphisms
• Vadim Kaloshin - Hausdorff dimension of oscillatory motions for the 3-body problem
• Federico Rodriguez-Hertz - Partial hyperbolicity and ergodicity in dimension three
• Mike Shub - Non-Zero Lyapunov Exponents in Families of Dynamical Systems
• Corinna Ulcigrai - Mixing of flows over interval exchange maps
• Amie Wilkinson - Asymmetrical diffeomorphisms

Functional Analysis    [PDF]

• Razvan Anisca - On the number of mutually non-isomorphic infinite-dimensional subspaces of a Banach space
• Jonathan Borwein - Maximality of Sums of Monotone Operators
• Manuel Cepedello-Boiso - Functions with no critical points on separable Banach spaces
• Man-Duen Choi - What sort of non-commutative analysis is needed in quantum information theory?
• Chandler Davis - Subspaces of Hilbert space
• Mahir Hasanov - On some classes of nonlinear equations in Hilbert spaces arising from the spectral theory
• Alexander Litvak - Asymmetry of convex polytopes and vertex index of symmetric convex bodies
• Gordon MacDonald - Topologically Transitive Matrix Semigroups
• Peter Rosenthal - Semigroups of matrices; and operators?
• Mohamed Tawhid
• Keith Taylor - Smooth Points in Operator Algebras
• Victor Zakharov - Construction of compactly supported wavelets adapted to differential operators

Harmonic Analysis    [PDF]

• Christine Carracino - Estimates for the Szegö kernel and the [`(¶)]_b equation
• Jim Colliander - Strichartz refinements and concentration in NLS
• Galia Dafni - Classes of measures generated by capacities
• Burak Erdogan - Strichartz estimates for Schrodinger equations with large magnetic potentials
• Raluca Felea - Composition calculus in inverse scattering
• Michael Greenblatt - A resolution of singularities and some applications
• Allan Greenleaf - Counterexamples to Calderón's problem as the mathematics of invisibility
• Kathryn Hare - Directional maximal operators with smooth densities
• Alex Iosevich
• Ahyoung Kim - Discrete Schrodinger Operators with Slowly Oscilating Potentials
• Sung Eun Kim - Calderon's inverse problem for piecewise linear conductivities
• Michael Lacey - On the Small Ball Problem
• Neil Lyall - On a Theorem of Sárközy and Furstenberg
• Akos Magyar - Maximal operators associated to discrete subgroups of nilpotent Lie groups
• Adrian Nachman - Imaging Obstacles In Inhomogeneous Media
• Alexander Nagel - Bergman and Szego kernels on tubular domains near points of infinite type
• Richard Oberlin - The (d,k) Kakeya problem
• Jill Pipher - Square function variants adapted to boundary value problems
• Eric Sawyer - Interpolating sequences for the Dirichlet space
• Andreas Seeger - Fourier restriction theorems for curves
• Roman Shterenberg - Blow up and regularity for Burgers equation with fractional dissipation
• Gigliola Stafillani - On the L² critical NLS
• Paul Taylor - Bochner-Riesz Means With Respect to a 2 by 2 Cylinder
• Erin Terwilleger - The Wiener-Wintner Theorem for the Hilbert Transform

History of Mathematics    [PDF]

• Tom Archibald - Mittag-Leffler's Theorem: Genesis and Development of a Mathematical Fact
• Marcus Barnes - Some Aspects of the Mathematical Work of J. C. Fields
• Craig Fraser - Analysis and the Emergence of Analytic Mechanics in the Eighteenth Century
• Alexander Jones - Some Properties of Arithmetical Functions in Ancient Astronomy
• Deborah Kent - Analytic Mechanics, Astronomy, and Linear Associative Algebra?: Context and Motivation for B. Peirce's Anomalous Paper
• Toke Lindegaard Knudsen - Jñ¯anar¯aja and mathematical astronomy in early 16th century India
• Shawnee McMurran - The Impact of Ballistics on Mathematics
• Duncan Melville - Reflections on Sargonic Arithmetic
• V. Frederick Rickey - Some History of the Calculus of the Trigonometric Functions
• Dirk Schlimm - On the importance of asking the right research questions: Could Jordan have proved the Jordan-Hölder Theorem?

Knot Homologies    [PDF]

• Carmen Caprau - A sl(2) tangle homology for dotted, seamed cobordisms
• Olivier Collin - Non-trivial actions on Floer homology
• Joel Kamnitzer - Knot homology via derived categories of coherent sheaves
• Mikhail Khovanov - Braid cobordisms and triangulated categories
• Peter Lee - Closed-Form Associators in a "Toy" Quotient
• Robert Lipshitz - Some recent developments in Heegaard-Floer homology
• Gad Naot - The Universal Khovanov Link Homology Theory-Extracting Algebraic Information
• Juan Ariel Ortiz-Navarro - Khovanov Homology and Reidemeister Torsion
• Jake Rasmussen - Stable KR-homology of torus knots
• Lev Rozansky - Virtual knots, convolutions and a categorification of the SO(2N) Kauffman polynomial
• Paul Seidel - Localization in Floer homology and applications
• Dylan Thurston
• Robb Todd - Khovanov Homology and the Twist Number of Alternatinng Knots

Mathematical Aspects of Continuum Physics: Analysis, Computation, and Modeling    [PDF]

• Stan Alama - Vortices in multiply connected Bose-Einstein condensates
• Fernando Brambila - Complete Vectorial Radon Transform
• Irene Fonseca - Surfactants in Foam Stability: a Phase Field Model
• Carlos Garcia-Cervera - An Efficient Real Space Method for Orbital-Free Density Functional Theory
• Joy Ko - Steady rotational water waves near stagnation
• Jonathan Mattingly - Challenges in the analysis of degenerately forced stochastic PDEs
• Robert McCann - Nonlinear diffusion from a delocalized source: affine self-similarity, spacetime asymptotics, and focusing geometry
• Govind Menon - Domain coarsening in a 1D bubble bath
• Bob Pego - Scaling dynamics of coagulation equations with dust and gel
• Maria G. Reznikoff - Slow Motion of Gradient Flows
• Silvia Serfaty - The Ginzburg-Landau energy close to the second critical field
• Thomas Wanner - Complex Transient Patterns and their Topology

Mathematical Biology    [PDF]

• Julien Arino - Effect of the introduction of refractory vectors in a vector-borne disease
• Elena Braverman - On Nicholson's Blowflies and Other Models with a Distributed Delay
• Sue Ann Campbell - Synchronization, Multistability and Clustering: how useful are predictions from phase models?
• Yuming Chen - Global Attractivity of a Positive Periodic Solution of a Delayed Periodic Respiration Model
• Troy Day - Modeling the emergence and control of infectious diseases
• Herb Freedman - Mathematical Models of Cancer Treatment Using Competition
• Michael Li - Global Stability in Multigroup Epidemic Models
• Xinzhi Liu - Study on HIV transmission among intravenous drug users
• Connell McCluskey - A Study of Mimicry in Poison Arrow Frogs
• Stephanie Portet - Dynamics of in vivo intermediate filament organization
• Robert Smith - Predicting the potential impact of a cyctotoxic T-lymphocyte HIV vaccine: how often should you vaccinate and how strong should the vaccine be?
• James Watmough - The final size of an epidemic
• Jianhong Wu - Progress in modeling pandemic influenza and bird flu
• Huaiping Zhu - Stability and Oscillations for SIR Epidemiological Models
• Xingfu Zou - Can the cut-burn strategy eradicate a wood-boring beetle infestation?

Mathematics Education    [PDF]

• Malgorzata Dubiel - Evolution of Math for Elementary Teachers course at SFU
• Fréderic Gourdeau - Mathematics for teaching: the case of Université Laval
• Kathy Kubota-Zarivnij
• Louis Lim - Incorporating the History of Mathematics in High School
• John Percy - Undergraduate Science/Math Education Programs at the University of Toronto at Mississauga
• Kathryn Stewart
• Tara Taylor - Math and Service Learning: Bringing Math to the Community
• Walter Whiteley - Programs in Mathematics for Future Teachers

Nonlinear Schrodinger Equations    [PDF]

• Ioan Bejenaru - Global solutions for Schroedinger Maps
• Pieter Blue - Decay of waves on a warp product manifold with an unstable, closed geodesic surface
• Daniela De Silva - Low regularity solutions for a 2D quadratic non-linear Schrodinger equation
• Roy Goodman - Fractal Structure in Solitary Wave Interactions
• Manoussos Grillakis
• Natasa Pavlovic - Global well-posedness for the L²-critical NLS in higher dimensions
• Zoi Rapti - Modulational Instability for NLS equations with a periodic potential
• Lenya Ryzhik - Diffusion and flow mixing
• Nikos Tzirakis - Morawetz type inequalities and improved global well-posedness for the quintic NLS in 1d
• Monica Visan - The mass-critical NLS
• Jie Xiao - Old and New Morrey Spaces with Heat Kernel Bounds
• Vadim Zharnitsky - Dispersion managed NLS and Strichartz inequality
• Gang Zhou - Perturbation Expansion and N-th Order Fermi Golden Rule of the Nonlinear Schrödinger Equations

Poisson Geometry and Mathematical Physics    [PDF]

• Tom Baird - Moduli space of flat SU(2) bundles over nonorientable surfaces
• Oleg Bogoyavlenskij - Invariant foliations with dynamical systems for the Poisson brackets of hydrodynamic type
• Henrique Bursztyn - Quasi-Poisson geometry and Dirac structures
• Sam Evens - Poisson geometry of the Grothendieck resolution
• Shay Fuchs - Additivity of spin-c Quantization Under Cutting
• Marco Gualtieri - Holomorphic Poisson D-branes
• Megumi Harada - Orbifold cohomology of hypertoric varieties
• Tara Holm - Integral cohomology of symplectic quotients
• Greg Landweber - Equivariant formality in K-theory
• Eugene Lerman - Is it useful to think of orbifolds as stacks?
• Yi Lin - Hamiltonian actions on generalized complex manifolds and the equivariant [`(¶)]¶-lemma
• Johan Martens - Euler characteristics of GIT quotients
• Markus Pflaum - Cyclic cohomology of deformation quantizations over orbifolds
• Martin Pinsonnault - Maximal Tori in the Hamiltonian groups of 4-manifolds
• Romaric Pujol - Poisson Groupoids, Duality and Classical Dynamical Yang-Baxter Equation
• Reyer Sjamaar - Torsion and abelianization in equivariant cohomology
• Xiang Tang - Algebraic structures on Hochschild cohomology of an orbifold
• Aissa Wade - Poisson fiber bundles
• Jonathan Weitsman
• Graeme Wilkin - The Lojasiewicz inequality for Higgs bundles
• Christopher Woodward - Gauged pseudoholomorphic maps on cylindrical end surfaces

Probabilistic Methods in Analysis and Algebra    [PDF]

• Miklos Abert - Invariants and actions of residually finite groups
• Razvan Anisca - Banach spaces with two non-isomorphic complex structures
• Michael Anshelevich - Hilbert space representations of quadratic exponential families, classical and free
• Serban T. Belinschi - Burgers equation in some matrix models
• Benoit Collins - Convergence of unitary matrix integrals
• George Elliott - What is a classification functor?
• Wojciech Jaworski - Powers of averages of unitary representations
• Todd Kemp - Haagerup's Inequality in Free Probability
• Claus Koestler - A noncommutative version of de Finetti's theorem
• Jamie Mingo - Second Order Cumulants of Products
• Alexandru Nica - Eta-series and a Boolean Bercovici-Pata bijection for bounded k-tuples
• Vladimir Pestov - Urysohn metric space and Kirchberg approximation property
• Brian Rider - The Riccati map in Random Schroedinger and RMT
• Joseph Rosenblatt - Probabilistic Constructions in Ergodic Theory
• Michael Rubinstein - Hide and Seek-a naive factoring algorithm
• Volker Runde - Harmonic operators: a look from the dual side
• David Sherman - Some aspects of operator theory in von Neumann algebras
• Ben Steinberg - Spectral computations for self-similar groups
• Balazs Szegedy - A generalization of the moment problem

Representations of Algebras    [PDF]

• Raymundo Bautista - Generic complexes and derived representation type for Artin algebras
• Frauke Bleher - Universal deformation rings and dihedral defect groups
• Walter Burgess - On the quasi-stratified algebras of Liu and Paquette
• Xueqing Chen - Root Vectors, PBW and Canonical Bases of Ringel-Hall Algebras and Quantum Groups
• Flavio Ulhoa Coelho - On the composition of irreducible morphisms
• José Antonio de la Peña - Coxeter transformations: from Lie algebras to singularity theory
• Edward Green - Noetherianity and Ext
• Mark Kleiner - Reduced words in the Weyl group of a Kac-Moody algebra and preprojective representations of valued quivers
• Marcelo Lanzilotta - La technique de coupement à deux côtés pour la conjecture finitistique / Double cut approach for the finitistic conjecture
• Aaron Lauve - On novel ways to invert a matrix
• Roberto Martinez-Villa - Artin-Schelter regular algebras and categories
• Markus Schmidmeier - Nilpotent Linear Operators
• David Smith - Piecewise hereditary skew group algebras
• Sonia Trepode - On Auslander-Reiten Components with Bypasses
• Rita Zuazua - When the graph subrings admit standard Noether normalizations?

Contributed Papers    [PDF]

• Bhagwan Aggarwala - HIV: From Infection to AIDS
• A. Bass Bagayogo - Hybrid Grid Generation: A Symbolic Programming Approach
• Adam Coffman - Unfolding CR singularities of real 4-manifolds in C⁵
• Muhammad Dur-e-Ahmad - A model of activity-dependent changes in dendritic spine density and spine structure
• Hadi Jorati - Mikhlin multiplier theorem for nonhomogeneous dilations
• Anh Vinh Le - Some colouring problems of unit-quadrance graphs
• Jing Li - Modeling the Latency and Spatial Non-Locality in Susceptible-Infectious Epidemic Models
• Franklin Mendivil - Fractal set-valued measures
• Jie Xiao - The sharp Sobolev and isoperimetric inequalities split twice
• Kate Zhang - Asymptotic Behavior of A Reaction-Diffusion Model With A Quiescent