Abstracts - grouped by symposium

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• Prize Lectures
• CMS Jeffery-Williams Lecture
• CMS Krieger-Nelson Lecture
• Plenary Speakers
• Special Lecture
• Public Lecture
• Analysis
• Arithmetic Algebraic Geometry
• Associative Algebras
• Category Theory
• Combinatorics
• Cryptography
• Differential Geometry
• Dynamical Systems
• Graph Theory
• Mathematical Education: The teaching and learning of geometry: why, what, how.
• Mathematics of Finance
• Number Theory
• Probability Theory
• Universal Algebra
• Contributed Papers

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Prize Lectures

• CMS Jeffery-Williams Lecture
  • Edwin Perkins - Super-Brownian motion and critical spatial stochastic systems
• CMS Krieger-Nelson Lecture
  • Priscilla Greenwood - Random walk searches the Genome

Plenary Speakers

• David W. Henderson - How can we encourage students to think like a mathematician?
• Nikolai Nikolski - Resolvents bounds and their use in analysis
• Christophe Reutenauer - Tableaux bialgebras and noncommutative character theory of symmetric groups
• Paul D. Seymour - Strong perfect graph theorem
• Isadore M. Singer - Forty years of index theory

Special Lecture

• Robert P. Langlands - Et les démonstrations!

Public Lecture

• Jean-Marie De Koninck - Ces mathématiques amusantes, importantes et intrigantes

Analysis

• Line Baribeau - Iterated function systems and the l-lemma
• Alain Bourget - Nodal statistics for the Lamé ensemble
• Alex Brudnyi - Bounded analytic functions on special Riemann surfaces
• Yin Chen - An improved bound for spectral variation near algebraic elements
• Brian Cole - Polynomial formulas for the disk and the bidisk
• Galia Dafni - A duality theorem for some function spaces related to H¹ and BMO
• Richard Fournier - On certain spaces of metrics of hyperbolic type
• Andrea Fraser - A characterization of some singular integral operators on the Heisenberg group
• Paul Gauthier - The existence of universal inner functions on the unit ball of Cⁿ
• Finnur Larusson - Recent developments in the theory of disc functionals
• Norm Levenberg - Distribution of nodes on algebraic curves in C^N
• Javad Mashreghi - Argument of outer functions
• Petr Paramonov - Uniform approximation of (stationary) gravitational fields. Extension and related capacity
• Evgeny Poletsky - Analytic multifunctions and Jensen measures
• Dominic Rochon - A Cantor set for bicomplex numbers
• Jeremie Rostand - Sur les automorphismes de la boule unité spectrale / On the automorphisms of the spectral unit ball
• Anatoli M. Sedletski - Muntz-Szasz type approximation
• Zbigniew Slodkowski - Evolution of compact subsets of C² by Levi curvature
• Pascale Vitse - Functional calculus under Kreiss and Ritt condditions
• John Wermer - Approximation on the unit sphere in C2

Arithmetic Algebraic Geometry

• D. Arapura - Hodge cycles on some moduli spaces
• B. Conrad - J₁(p) has connected fibers
• H. Darmon - To be announced
• Jordan Ellenberg - Pro-p fundamental groups and rational points
• E. Goren - Hilbert modular varieties of low dimension
• Ernst Kani - Hurwitz spaces of genus 2 covers of elliptic curves
• H. Kisilevsky - To be announced
• J. Lewis - K₂ of curves and the Mumford-Manin conjecture
• Yu-ru Liu - Generalizations of the Turán Theorem and the Erdös-Kac Theorem
• R. Murty - Effective version of Serre's theorem
• Yi Ouyang - On the universal norm distribution
• Ivan Soprounov - Residues and tame symbols in toric geometry
• Y. Zarhin - Jacobians with prescribed cyclotomic endomorphism ring

Associative Algebras

• Ibrahim Assem - Laura algebras
• Josée Bilodeau - Hochschild cohomology of stable Auslander algebras
• Juan Carlos Bustamante - Hochschild cohomology and simplicial cohomology of algebras
• François Huard - Unit forms of tree algebras
• Mark Kleiner - The graded preprojective algebra of a quiver
• Marcelo Lanzilotta - About weakly shod algebras
• Jessica Lévesque - Module inclinant sur un produit fibré
• Shiping Liu - Mesh algebras without outer derivations
• Alex Martsinkovsky - Noncommutative sheaf cohomology over Koszul quiver algebras
• Robert Raphael - Ring epimorphisms and C(X)
• David Smith - From simplicial complexes to partially ordered sets and back

Category Theory

• Michael Barr - Absolute homology
• Rick Blute - Constructing *-autonomous categories
• Marta Bunge - A Van Kampen theorem for Grothendieck toposes
• Robin Cockett - Games as polarized categorical proof theory
• Pierre Damphousse - Groupe des automorphismes des la categorie des G-ensembles / The automorphisms of the category of G-sets
• Robert Dawson - Adjoining adjoints
• Jack Duskin - Nerves of bicategories and Simpson-Tamsamani weak 2-categories
• Peter Freyd - Algebraic real analysis
• Jonathon Funk - More results on branched covers in topos theory
• Dale Garraway - Generalized supremum-enriched categries and their sheaves
• André Joyal - Kan complexes and quasi-categories
• Fred Linton - On associativity for tensor products in varieties
• John MacDonald - Embedding of algebras
• Michael Makkai - Comparing definitions of weak n-category for low values of n
• Susan Niefield - Homotopy pullbacks, lax pullbacks, and exponentiability
• Dorette Pronk - Free extensions of double categories
• Robert Rosebrugh - Updating views universally
• Phil Scott - Yoneda techniques and decision problems
• Robert Seely - Poly bicategories of modules
• Javad Tavakoli - On completion of a poset in a topos
• Joan Wick Pelletier - Spatiality of involutive quantales
• Richard Wood - 2-categories of algebras for double dualization 2-monads

Combinatorics

• F. Bergeron - Ideals of quasi-symmetric polynomials and related varieties
• M. Bousquet - Dénombrement de 2-arbres solides
• M. Bousquet-Melou - Walks in a quarter plane
• Gerard Duchamp - Algèbres de Hopf de fonctions quasi-symétriques non commutatives / Hopf algebras of non commutative quasi-symmetric functions
• I. Gessel - Two-stack-sortable multipermutations
• Ian Goulden - Hurwitz numbers and combinatorics
• A. Goupil - Polynômes de classes de S_n / Class Polynomials of S_n
• G. Labelle - Structures partiellement étiquetées asymétriques
• P. Lalonde - Partitions planes descendantes et dualité de chemins
• V. Liskovets - Some asymptotic distribution patterns for planar maps
• Peter McNamara
• Marni Mishna
• J. Morse - k-Schur functions and Kostka coefficients
• I. Pak - Fighting the involution principle
• F. Ruskey - Counting aperiodic strings with given elementary symmetric function evaluations
• C. Savage - Anti-lecture hall compositions
• G. Schaeffer - The diameter of random planar maps
• R. Stanley - Kerov's character polynomial and irreducible symmetric group of rectangular shape
• B. van Rensburg - Exchange relations, Dyck paths and copolymer adsorption
• X. Viennot - Gravitation quantique Lorentzienne et empilements de dominos / Lorentzian quantum gravity and heaps of dimers
• T.R. Walsh - Génération de chaque mot d'un code gray en temps constant / Constant time generation of each word of a gray code
• J. West - Somos sequences and perfect matchings
• C. Yan - Goncarov polynomials and parking functions
• Doron Zeilberger - Deranged Wilf classes
• J. Zeng - New identities of Hall-Littlewood polynomials and new identities of Rogers-Ramanujan type

Cryptography

• M. Bauer - Comparative efficiency of cubic function fields
• D. Bernstein - Speed records for cryptographic software: an update
• I. Blake - Certificates for primes and RSA modulii
• P. D'Arco - Distributed oblivious transfer and applications in cryptography
• Karl Dilcher - Fermat numbers, Wieferich and Wilson primes: computations and generalizations
• S. Hamdy - IQ cryptography: a secure and efficient alternative
• A. Hasan - DPA attack resistant Koblitz curve cryptosystems
• M. Jacobson - Unconditionally computing fundamental units of real quadratic fields in parallel
• R. LaFlamme - Quantum computing
• S. Magliveras - Group theoretic cryptography
• Dominic Mayers - Non ideal Quantum bit commitment
• Mike Mosca - Private quantum channels
• K. Murty - Non-linear secret sharing and prime numbers
• N. Pippenger - Information attenuation in Quantum channels
• R. Scheidler - Efficiency and security of real quadratic field based key exchange
• A. Silverberg - Abelian varieties in cryptography
• A. Stein - Solving elliptic curve discrete logarithm problems using Weil descent
• Alain Tapp - Quantum authentication
• S. Tavares - GST: A new family of stream ciphers based on a cascade of small s-boxes
• E. Teske - A constructive application of Weil descent in ECC
• G. Walsh - An applied application of a conjecture of Oesterle
• R. Wei - Cover-free problems in cryptography

Differential Geometry

• C. Arezzo - To be announced
• J. Bryan - Gromov-Witten theory of local Calabi-Yau's and TQFT
• Mihail Cocos - On the heat-equation method of M. Gaffney
• A. Fraser - Fundamental groups of manifolds with positive isotropic curvature
• Jacques Hurtubise - G-bundles over an elliptic curve and dynamical r-matrices
• X. Liu - Solving universal equations in Gromov-Witten invariants
• P. Lu - Cheeger-Gromov type compactness theorem on oribifolds
• D. Matessi - Families of special Lagrangian tori
• M. Wang - Painleve analysis, Diophantine conditions, and special holonomy
• R. Wentworth - The Yang-Mills flow revisited
• Baozhong Yang - Analytic aspects of gauge theories in higher dimensions

Dynamical Systems

• Bhagwan Aggarwala - Application of predator prey equations to development of HIV/AIDS in Canada
• William Basener - Disk global cross sections in flows on manifolds
• Bernard Brooks - A rrequency and density dependent multi-allele haploid dynamic
• Pietro-Luciano Buono - Restrictions on flows in double Hopf bifurcations for functional differential equations
• Monica Gabriela Cojocaru - Projected dynamical systems
• Abba Gumel - Dynamics analysis of the effect of condom use on HIV epidemiology
• Henrik Kalisch - The effect of attenuation and amplification on dispersion-managed solitons
• Candace Kent - The boundedness nature of positive solutions of the sifference squation x[n+1] = max{ A[n]/x[n], B[n]/x[n-1]} with periodic parameters
• Witold Kosmala - On the recursive sequence x(n+1) = (p + x(n-k))/x(n)
• Herbert Kunze - Solving inverse problems in differential equations using Banach's fixed point theorem
• William Langford - Near-reversible 1:1 resonant Hopf bifurcation
• Israel Ncube - Possible change in criticality of Hopf bifurcation in a multiple-delayed neural system
• Dmitry Pelinovsky - Spectral analysis of optical bistability in finite and semi-infinite nonlinear photonic gratings
• Mario Roy - Is the composition of two expansive maps expansive?
• Shigui Ruan - Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Hassan Sedaghat - On semiconjugates of one dimensional maps
• Michael Yampolsky - Mating of quadratic polynomials

Graph Theory

• P. Balister - Cycle decompositions
• E. Dobson - On isomorphisms of circulant digraphs of bounded degree
• L. Goddyn - Circular flows and tensions on maps of high edge width
• P. Hell - Intersection graphs and list homomorphisms
• J. Janssen - A list-colouring algorithm for series-parallel graphs
• D. Marusic - Cubic semisymmetric graphs on up to 768 vertices
• M. Muzychuk - A solution of the isomorphism problem for circulant graphs
• M. Sajna - Almost self-complementary circulant graphs
• M. Schultz - Cayley maps and e-morphisms
• D. Witte - Flows that are sums of hamiltonian cycles in abelian Cayley graphs
• X. Yu - Long cycles in graphs
• C.-Q. Zhang - K_p-minor in p-connected graphs

Mathematical Education: The teaching and learning of geometry: why, what, how.

• Janos Baracs - The teaching of spatial geometry: the 9 basic problems
• David W. Henderson and Daina Taimina - Experiencing geometry-workshop
• William Higginson - Beyond monocular mathematics
• Klaus Hoechsmann - A la recherche du plan perdu
• Jacques Hurtubise - Invariance and global properties
• Yvan Saint Aubin - Teaching geometry to future teachers
• Margaret Sinclair - Using JavaSketchpad to enhance geometry learning
• Walter Whiteley - Geometry with eye and hand

Mathematics of Finance

• Tahir Choulli - An optimization model for a company with constraints on risk control
• Abdessamad Karem - Volatlité du CAC40 et changements structurels
• Rogemar Mamon - A synthesis of interest rate derivative pricing under the forward measure
• George Stoica - Spike prices and spectrum swings
• Ruppa K. Thulasiram - A second order L₀ stable algorithm for evaluating European options

Number Theory

• E. Benjamin - To be announced
• David Bradley - Shuffles and multiple zeta values
• Stephen Choi - Norm of Littlewood polynomials
• Alina Cojocaru - Square-free orders for non-CM elliptic curves modulo p
• Clifton Cunningham - The geometry of depth-zero representations
• Henri Darmon - To be announced
• Chantal David - To be announced
• Leslie Davison - Levy constants for classes of continued fractions
• Jean-Marie De Koninck - The median value of the k-th prime factor of an integer
• Saïd El Morchid - Base des unités cyclotomiques de certains composés de trois corps abéliens
• James G. Huard - Sums of twelve and sixteen squares
• Colin Ingalls - Birational classification of orders
• Ernst Kani - The class number relations of Kronecker, Gierster and Hurwitz
• John Labute - Central series of Galois groups over Q with restricted ramification
• Ram Murty - Generalized Hurwitz zeta functions
• Ali Ozluk - Distribution of zeros of Dedekind Zeta functions of quadratic extensions of imaginary quadratic number fields
• Damien Roy - Approximation of real numbers by cubic algebraic integers
• Chip Snyder - On a class number formula for real quadratic
• Cameron Stewart - On shifted products which are powers
• Francisco Thaine - Cyclic polynomials and the multiplication matrices of their roots
• Alain Togbé - On related cubic Thue equations
• Gary Walsh - On the product of like-indexed terms in binary recurrence sequences

Probability Theory

• Martin Barlow - Random walk on supercritical percolation clusters
• Claude Belisle - Convergence properties of hit-and-run samplers
• T. Cox - Measure-valued limits of a Lotka-Volterra model
• D. Dawson - Hierarchical random walks and HMF limits
• W. Hong - Large deviations for the super-Brownian motion
• Michael Kouritzin - Markov chain approximations of stochastic reaction-diffusion equations
• Neal Madras - Decomposition of Markov chains
• C. Mueller - The 3-dimensional wave equation with a singular random potential
• J. Quastel - Time decay and fluctuations in conservative particle systems
• A. Sakai - High-dimensional graphical networks of self-avoiding walks
• Gordon Slade - The incipient infinite cluster for high-dimensional oriented percolation
• Chris Soteros - The statistics of embeddings of eulerian graphs in Z^d
• George Stoica - Case study of a nonlinear stochastic delay equation
• J. Walsh - To be announced
• X. Zhou - Dualities involving coalescing Brownian motion

Universal Algebra

• Ji Young Choi - The dimension of a finite algebra
• George Gratzer - The case of the shrinking proof: The Dilworth Theorem on embedding every lattice into a uniquely complemented lattice
• Benoit Larose - Constraint satisfaction problems, posets and Taylor operations
• JB Nation - A gluing construction for projective planes
• Bill Sands - Finite distributive lattices and the splitting property
• Matt Valeriote - Varieties with few finite members
• Ross Willard - Failure of injectivity in finitely generated quasivarieties

Contributed Papers

• Richard Basener - Boundaries for spaces of functions
• Nicolas Beauchemin - Théorie des points critiques pour une fonctionnelle multivoque
• Sukhwinder Kaur Bhullat - Thermal stresses in a hexagon region with an elliptic hole under a heat generation
• Nicolas Chaumont - Optimisation de créatures virtuelles
• Gabriel Chênevert - Sphères homologiques et groupes parfaits
• Fabrice Colin - Lemmes de décomposition appliqués à des inégalités de type Hardy-Sobolev
• Constantin Costara - La variante spectrale pour le problème de Nevanlinna-Pick
• Jean-Lou De Carufel - Une caractérisation des courbes elliptiques sur Q pour certains groupes de torsion donnés
• Lassina Dembébé - Explicit computation of Hilbert modular forms on Q(Ö5)
• Alexandre Girouard - Enlacement homologique relatif
• Alexander Hariton - Symmetries and invariant solutions of a hydrodynamical model
• Mikhail Kotchetov - Identities of the smash product of a group algebra and the universal envelope of a Lie superalgebra
• Yves Langlois - Inégalité concernant la variation spectrale de matrices
• Kevin Vander Meulen - Neighbourly cubes, Hadamard matrices and graph decompositions
• Ravil Moukhometov - The Radon transform on the Riemannian manifold
• Alvarez Moraga Nibaldo - États propres d'algèbre et états cohérents et comprimés
• Marc-Hubert Nicole - F-cristaux avec multiplication réelle
• Eduardo Ochs - A system of natural deduction for categories
• Primoz Potocnik - Edge-coloring of cubic vertex-transitive graphs
• Ralf Schiffler - Singularités des variétés de carquois de type A
• Evgenia Soprunova - Zeros of systems of exponential sums
• Nicolas Thériault - Weil descent attack for Artin-Schreier curves
• Fridolin Ting - Pinning of magnetic vortices by an external potential
• Kjell Wooding - Exponentiation and the double based number system