Abstracts - Grouped by Session

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• Aperiodic Order
• Applicable Harmonic Analysis and Approximation Theory
• Asymptotic Geometric Analysis and Convex Geometry
• Banach Spaces and Operators Between Them
• Combinatorial Matrix Theory
• Computational Toric Geometry
• Dynamical Systems
• Geometry and Physics
• Homotopy and Categories
• L-Functions and Number Theory
• Lie Theory
• Mathematical Finance
• Mathematics Education
• New Mathematical Tools for the Modeling of Cellular Processes
• Operator Algebras
• Turbulent Flow and its Mathematical Foundations
• Contributed Papers

Aperiodic Order    [PDF]

• James Currie - A decision procedure for morphisms avoiding Abelian k-powers
• George Elliott - The role of C*-algebra K-theory in the study of the Hofstadter spectrum
• Natalie Frank - Fusion: a general framework for hierarchical tilings
• Jeong-Yup Lee - Algorithm for determining pure point spectrum on substitution tilings
• Robert Moody - Spatial stochastic processes and the inverse problem in pure point diffraction.
• Ian Putnam - Some conjectures on tiling cohomology
• Narad Rampersad - Decidable properties of automatic sequences
• Christoph Richard - Ergodic properties of randomly coloured point sets
• Lorenzo Sadun - A relative cohomology theory for tiling dynamical systems

Applicable Harmonic Analysis and Approximation Theory    [PDF]

• Twareque Ali - The Galilei group and its extensions in constructing signal transforms
• Elena Braverman - On fast multiscale algorithms incorporating FFT and domain decomposition
• Feng Dai - weighted quadrature in Besov spaces with $A_\infty$ weights on multivariate domains
• Zeev Ditzian - Use of Convexity of the Unit Ball of a Space for Improving on the Jackson Inequality
• Miroslav Englis - Wigner transform on symmetric spaces
• Jean-Pierre Gabardo - Self-affine scaling sets in $\mathbb{R}^2$.
• Bin Han - The Matrix Extension Problem and Orthogonal Wavelets over Algebraic Number Fields
• Kirill Kopotun - $Q$-monotone spline smoothing
• Ming-Jun Lai - Recent Advances on Sparse Solution and its Application for Image Denoising
• Andriy Prymak - Three-monotone spline approximation
• Keith Taylor - Variations on the Shearlet Transform
• Ozgur Yilmaz - Compressed sensing with partial support information

Asymptotic Geometric Analysis and Convex Geometry    [PDF]

• David Alonso-Gutierrez - Factoring Sobolev inequalities through classes of functions
• Ferenc Fodor - Convex bodies with a rolling ball and intrinsic volumes of random polytopes
• Peter Pivovarov - Rearrangements and Isoperimetric Inequalities
• Alina Stancu - On some isoperimetric inequalities for the p-affine surface area
• Viktor Vigh - Disc-polygonal approximations of planar spindle convex sets

Banach Spaces and Operators Between Them    [PDF]

• Razvan Anisca - The ergodicity of weak Hilbert spaces
• Qingying Bu - Orthogonally Additive Polynomials on Banach Lattices
• Gerard Buskes - Positive tensor products and homogeneous polynomials
• Hülya Duru - Multiplication operators on vector-valued function spaces
• Daniel Freeman - Schauder frames for Banach spaces
• Robb Fry - $C^{1}$ fine approximation on Banach spaces
• Arkady Kitover - The spectrum of disjointness preserving operators on rich subspaces of Banach lattices.
• Coenraad Labuschagne - The Radon-Nikodym Property in Banach spaces via the Chaney-Schaefer l-tensor product
• Chris Lennard - The closed, convex hull of every ai $c_0$-summing basic sequence fails the FPP for affine nonexpansive mappings.
• Denny Leung - Disjointness preserving operators on function spaces
• Timur Oikhberg - On almost commuting matrices
• Mehmet Orhon - Reflexivity of Banach C(K)-modules via the reflexivity of Banach lattices
• Alexey Popov - Norm closed operator ideals in Lorentz sequence spaces
• Haskell Rosenthal - The log of an operator with spectrum the unit circle
• Anton Schep - Inequalities for the spectral radius of Hadamard and Krivine products of positive operators.
• Eigeniu Spinu - Disjointly homogeneous Banach lattices
• Bentuo Zheng - Bounded Compact Approximation Property for Quotients of $\mathcal{L}_{\infty}$

Combinatorial Matrix Theory    [PDF]

• Wayne Barrett - The Combinatorial Inverse Eigenvalue Problem
• Michael Cavers - Allow Problems Concerning Spectral Properties of Patterns
• Louis Deaett - The principal rank characteristic sequence of a real symmetric matrix
• Randy Elzinga - Graphs with Rational Normalized Adjacency Eigenvalues
• Shaun Fallat - On Two Colin de Verdiere Parameters of Chordal Graphs
• Yi Zheng Fan - Quadratic Forms on Graphs
• Chris Godsil - Graph Spectra and Quantum Computing
• In-Jae Kim - Unordered multiplicity lists of $\Phi$-binary trees
• Zhongshan Li - Irreducible 4 by 4 sign patterns that require 4 distinct eigenvalues
• Judi McDonald - Spectrally Arbitrary Matrix Patterns that Depend on Field Structure
• Karen Meagher - The Erd\H{o}s-Ko-Rado Theorem: an algebraic perspective
• Vladimir Nikiforov - Extremal norms of graphs and matrices
• Dale Olesky - Sign Patterns with a Nest of Positive Principal Minors
• Pauline van den Driessche - Refined Inertia of Pattern Matrices
• Kevin Vander Meulen - Index of Nilpotent Matrices and the Nilpotent-Jacobian Method

Computational Toric Geometry    [PDF]

• Tristram Bogart - Few smooth $d$-polytopes with $N$ lattice points
• Vincent Bouchard - Tops
• Volker Braun - Toric Geometry in Sage
• Charles Doran
• Andrey Novoseltsev - Geometric transitions through singular subfamilies in toric varieties
• Ursula Whitcher - The Griffiths-Dwork algorithm for toric hypersurfaces

Dynamical Systems    [PDF]

• Arno Berger - Digits and dynamics - an update
• Christopher Bose - Rigorous uniform approximation of invariant densities for interval maps
• Yongfeng Li - Nonlinear Oscillation and Multiscale Dynamics in a Closed Chemical Reaction
• William Mance - Normal numbers with respect to the Cantor series expansions
• James Muldowney - Lyapunov functions and exponential dichotomies for differential equations
• Cecilia Gonzalez Tokman - Semi-invertible Oseledets theorem for compositions
• Hao Wang - Global analysis of a stoichiometric producer-grazer model with Holling-type functional responses

Geometry and Physics    [PDF]

• Kai Behrend - Recent advances in Donaldson-Thomas theory
• Volker Braun - Calabi-Yau Threefolds with Really Small Hodge Numbers
• Freddy Cachazo
• Benoit Charbonneau - A Hodge filtration on vector bundles
• Jacques Hurtubise - Monopoles on the product of a surface and the circle.
• Lisa Jeffrey - K-theory of the based loop group
• Spiro Karigiannis - A new construction of compact $\mathrm{G}_2$ manifolds by glueing families of Eguchi-Hanson spaces
• Olivier Marchal - Matrix models, beta-ensembles and "quantum" algebraic geometry
• Brendan McLellan - Non-Abelian Localization and U(1) Chern-Simons Theory
• Stefan Mendez-Diez - K-theoretic Aspects of String Theory Dualities
• Andrey Novoseltsev - Hodge numbers of Calabi-Yau complete intersections
• Natalia Saulina - Surface Operators in Chern Simons Theory

Homotopy and Categories    [PDF]

• Kristine Bauer - Cotriples, stabilization and Andre-Quillen homology
• Ryan Budney - What operads have to say about knots
• Robin Cockett - Differential Categories to Tangential Structure
• Martin Frankland - Moduli spaces of 2-stage Postnikov systems
• Rick Jardine - Dynamical systems and diagrams
• Gábor Lukács - On abelian topobornological groups: A convenient category for duality theory
• Peter LeFanu Lumsdaine - “Axiomatising the circle”: higher inductive types in dependent type theory
• Michael Makkai - Generalization of FOLDS (First Order Logic with Dependent Sorts) in a hyperdoctrinal setting
• Bob Paré - The Double Category of Lax Presheaves
• Emily Riehl - Algebraic model structures
• Laura Scull - Simplicial Structures in 2-Categories
• Jeff Smith
• Don Stanley
• Claire Tomesch - Segalic Models of $(\infty, n)$-categories
• Michael Warren - Recent advances relating homotopy theory and type theory

L-Functions and Number Theory    [PDF]

• Alina Bucur - Counting points on curves over finite fields
• Michael Coons - An irrationality exponent related to Fermat numbers
• Michael Dewar - The image and kernel of Atkin's $U_p$ operator modulo $p$
• Brandon Fodden - Lower bounds for fractional moments of L-functions
• Leo Goldmakher - Subconvexity for a family of double Dirichlet series
• Hester Graves - A Generalization of the Lagrange and Jacobi 4-Square Theorems
• Nathan Jones - The Lang-Trotter Conjecture for Frobenius fields
• Dimitris Koukoulopoulos - When the sieve works
• Matilde Lalin - Remarks on $\frac{\zeta(2j+1)}{\pi^{2j+1}}$ and variants of the Ramanujan polynomials
• Xiannan Li - Bounds on the least quadratic non-residue
• Charles Samuels - Mahler measures in products of algebraic numbers
• Ethan Smith - Elliptic curves with a given number of points modulo $p$
• Matthew Smith - On solution-free sets via local uniformity and energy incrementing
• Frank Thorne - Secondary terms in counting functions for cubic fields
• Tim Trudgian - Tightening the screws on $S(t)$

Lie Theory    [PDF]

• Katrina Barron - On certain constructions of supersymmetric vertex operator superalgebras and twisted sectors
• Yuly Billig - Representation of Lie algebras of vector fields on loop manifolds
• Erik Carlsson - grassmannians and vertex operators
• Scott Carnahan - Conformal blocks on nodal curves
• Gerald Cliff - Super and q Schur algebras
• Clifton Cunningham - Geometrization of two stably-conjugate, self-dual distributions on $p$-adic $sl(2)$
• Ivan Dimitrov - Lagrangian subalgebras of basic classical Lie superalgebras
• Alex Feingold - Decomposition of level-1 representations of $D_4^{(1)}$ with respect to its subalgebra $G_2^{(1)}$ in the spinor construction
• Jacob Greenstein - Quantum folding
• Michael Lau - Gelfand-Zetlin system for $GL(\infty)$
• Frantisek Marko - Bideterminants for Schur Superalgebras
• Erhard Neher - Finite-dimensional representations of equivariant map algebras
• Juana Sanchez Ortega - Finite gradings of Lie algebras
• Arturo Pianzola - Derivations, automorphisms and ideals of certain algebras given by descent
• Marina Tvalavadze - Universal enveloping algebra of a symplectic anti-Jordan triple system

Mathematical Finance    [PDF]

• Carole Bernard - Optimal Investment under State-Dependent Constraints
• Christoph Frei - A financial market with interacting investors: does an equilibrium exist?
• Cody Hyndman - Existence and Uniqueness for nonlinear FBSDEs related to quadratic term-strucutre models
• Alexey Kuznetsov - A Wiener-Hopf Monte-Carlo simulation technique for Levy processes
• Nadia Massoud - Hedge Funds in M\&A Deals: Is there Exploitation of Private Information?
• Don McLeish - Transform-Based Simulations and Option Pricing
• Tom Salisbury - Optimal utilization of variable annuity guarantees
• Martin Schweizer - ean-variance problems in mathematical finance
• Anatoliy Swishchuk - Variance and volatility swaps in energy markets
• Aerambamoorthy Thavaneswaran - Fuzzy Sets Approach in Mathematical Finance

Mathematics Education    [PDF]

• Cristina Anton - Concocting an undergraduate mathematical seminar: the Torus Talks
• Pamini Thangarajah, Roberta La Haye - Mount Royal’s Initiatives: Promoting a Deeper Understanding in Junior Level, Courses through Projects and Presentations
• Judith Rioux-Wilson - Math Fairs For All!
• SNAP Math Fair
• Nicolae Strungaru - Math for the young

New Mathematical Tools for the Modeling of Cellular Processes    [PDF]

• Dana Cobzas - Tumor Invasion Margin on the Riemannian Space of Brain Fibers
• Adriana Dawes - Cortical thickening and negative curvature may position the Par protein boundary in the early C. elegans embryo
• Gerda de Vries - Quantitative Analysis of Single Particle Tracking Experiments: Applying Ecological Methods in Cell Biology
• Peter Hinow - A Kinetic Model for Cell Movement in Network Tissues
• John Loewengrub
• Zhian Wang - Stochastic and deterministic models of chemotaxis

Operator Algebras    [PDF]

• Serban Belinschi - Convolution semigroups in operator-valued probability
• Julian Buck - Strict Comparison for Crossed Products of Certain Non-Simple, Non-Commutative C*-Algebras
• Man-Duen Choi - Normal Dilations Made Simple but Difficult
• Ken Davidson - Semicrossed products of the disk algebra
• Valentin Deaconu - Residually AF embeddable $C^*$-algebras
• Andrew Dean - Classification of C*-dynamical systems
• George Elliott - Some remarks on the classification of C*-algebras
• Doug Farenick - Representations of operator systems
• Cristian Ivanescu - The Cuntz semigroup of dimension drop C*-algebras
• David Kerr - Sofic dimension for measured groupoids
• Brady Killough - A Ring Structure on the K-theory of Certain C*-Algebras.
• Michael Lamoureux - Outer preserving linear operators
• Frederic Latremoliere - Isomorphisms of Non Commutative Domain Algebras
• Terry Loring - Topological insulators and real almost commuting matrices
• Jamie Mingo - Graphs and Random Matrices
• Nishan Charitha Mudalige - Normal Compressions of Higher Rank Numerical Ranges
• Bogdan Nica - Fredholm modules and boundary actions of hyperbolic groups
• Zhuang Niu - Homomorphisms between simple $\mathcal Z$-stable C*-algebras
• Ian Putnam - Duality and spectral triples for Ruelle algebras
• Mike Whittaker - K-theoretic duality for Smale spaces

Turbulent Flow and its Mathematical Foundations    [PDF]

• Luke Blackbourn - Number of degrees of freedom and energy spectrum of SQG turbulence.
• John Bowman - Casimir Cascades in Two-Dimensional Turbulence
• David Dritschel
• Evelyn Lunasin - Global well-posedness for the 2D Boussinesq system without heat diffusion with anisotropic viscosity
• Phil Morrison - On the zero viscoscity limits of turbulence models
• Malcolm Roberts - Continuum Shell Models of Turbulence
• Chuong Van Tran - A quantitative description of turbulence
• Xinwei Yu - On The Exact Laws of MHD Turbulence
• Zhichun Zhai - Analytical results for the Lagrangian averaged Euler equations

Contributed Papers    [PDF]

• Bhagwan Aggarwala - Effect of Antibodies on an HIV Positive Patient
• Abdulrasool Azizi - On generalization of Nakayama's Lemma
• Adam Felix - A Problem of Fomenko's related to Artin's Conjecture on Primitive Roots
• Himadri Ganguli - On the equation $f(g(x)) =f(x)h^m(x)$ for composite polynomials
• Md. Kamrujjaman - Effect of Oscillating surface temperature due to time dependent free stream velocity on mixed convection flow along a horizontal
• Nishan Charitha Mudalige - The Geometry of Higher Rank Numerical Ranges
• Richard Mikael Slevinsky - A comparative study of extrapolation methods, sequence transformations and steepest descent methods for semi-infinite integrals
• Tara Taylor - Using Cantor Sets to Study the Connectivity of Sierpinski Relatives