Abstracts - grouped by symposium Abstracts are displayed on the website for information only and are not to be considered a published document. Some inconsistencies in display of fonts may occur in some web browser configurations. Public Lecture Roger Howe - Chinese excellence in mathematics teaching: can we match it in North America Plenary Speakers Patrick Dehornoy - From set theory to braids via self-distributive algebra Richard Durrett - Mathematical models of biodiversity Roger Howe - Challenges in teacher preparation and development Izabella Laba - Gowers's proof of Szemerédi's theorem, and applications to harmonic analysis Stanley Pliska - Risk sensitive asset management Paul Roberts - Intersection multiplicities of modules of finite projective dimension Peter Sarnak - Hilbert's Eleventh Problem Prize Lectures CMS Coxeter-James Lecture Damien Roy - Results and methods of transcendental number theory CMS Doctoral Prize Stephen Astels - Cantor sets and continued fractions Algebraic Geometry T. Asanuma - On generic A^{1}-fibrations A. Broer - Normality of nilpotent varieties S. D. Cutkosky - Monomialization of morphisms Daniel Daigle - Affine rulings of weighted projective planes and actions of (C,+) on C^{3} G. Freudenburg - A non-linearizable S_{3}-action on C^{4} Anthony Geramita - Higher secant varieties of Segre varieties S. Kaliman - Families of affine planes: the existence of a cylinder Joseph Khoury - On a conjecture of Nowicki F-V. Kuhlmann - On local uniformization in arbitrary characteristic K. Masuda - Algebraic G-vector bundles over G-representations M. Miyanishi - Equivariant classification of open algebraic surfaces Z. Reichstein - Birational geometry of algebraic group actions Paul Roberts - Intersection theory and commutative algebra Peter Russell - Birational endomorphisms of C^{2} and rational surfaces of the form ruled surface\ample section A. Sathaye - Planes over a two dimensional base Adam Van Tuyl - Hilbert functions of points in P^{n} ×P^{m} J. Wlodarczyk - Algebraic Morse theory and factorization of birational maps Classical and Computational Analysis Francois Bergeron - Diagonally harmonic polynomials Jon Borwein - Multi-variable sinc integrals and volumes of polyhedra Len Bos - Fekete type points for radial basis interpolation Jacque Carette - The relationship between ``function'' and ``expression'' Rob Corless - Derivatives Mark Geisbrect - Fast algorithms for integer matrices Ivo Klemes - Finite Toeplitz matrices and sharp Littlewood conjectures Adrian Lewis - Optimizing the stability of a matrix Igor Pritsker - Bounds for the integer Chebyshev constant Tomas Ransford - Countability via capacity Tony Thompson - Geometric means of ellipsoids Financial Mathematics Jerome Detemple - To be announced Daniel Dufresne - Pricing Asian options Ulrich Haussmann - Optimal portfolio selection based on observed prices Michael Taksar - Optimal financing of a corporation subject to random returns Fernando Zapatero - Executive stock options with effort disutility and choice of volatility History of Mathematics Tom Archibald - Hermite and Jacobi Craig Fraser - Adolph Mayer's proof of the multiplier rule in the calculus of variations Judith Grabiner - MacLaurin and Newton Hardy Grant - The parallel postulate revisited Alexander Jones - Ptolemy's numerical fudgings Greg Moore - The early development of Cantor's continuum problem: Hausdorff and Sierpinski Ram Murty - The work of Brahmagupta and Jayadeva Glen Van Brummelen - Mathematical computation in Medieval Islamic astronomy: a survey of approximation methods Mathematical Education Ed Barbeau - Teaching mathematics-a matter of acculturation Liping Ma - To be announced Kanwal Neel - Numeracy initiatives in British Columbia Cynthia Nicol - Mathematics by inquiry: a certificate programme for mathematics teachers Sergei Novocelskii - Math anxiety in prospective teachers Christian Siebeneicher - Euler's ``Art of Reckoning'' Ravi Vakil - A mathematician talks to high school students Number Theory Michael Bennett - Applications of the hypergeometric method to polynomial-exponential equations David Boyd - Mahler's measure and the dilogarithm John Friedlander - Class group L-functions Eyal Goren - Hilbert modular varieties over ramified primes David McKinnon - Vojta's conjectures and rational points Kumar Murty - Discrete logs on Elliptic curves and rank one liftings Ram Murty - The Euclidean algorithm Ken Ono - q-series identities and values of L-function Christopher Skinner - Denominators of some Eisenstein classes for GL(3) Cameron Stewart - On intervals with few prime numbers Siman Wong - On the rank of Jacobian Fibrations (progess report) Operator Algebras Berndt Brenken - Representations of graph C^{*}-algebras and endomorphisms of type I algebras with discrete center Ken Davidson - Primitive limit algebras and C^{*}-envelopes George Elliott - On the classification of non-simple C^{*}-algebras Juliana Erlijman - N-sided braid type subfactors Douglas R. Farenick - An algebraic analogue of the Fukamiya-Kaplansky Lemma David Kribs - Completely positive maps in dilation and wavelet decompositions Dan Kucerovsky - Ideal-related extensions Huaxin Lin - Classification of simple amanable C^{*}-algebras Laurent Marcoux - Linear combinations of projections in certain C^{*}-algebras James Mingo - q-circular and z-circular elements of a C^{*}-algebra Alexandru Nica - R-cyclic families of matrices in free probability John Phillips - Spectral Flow and the Dixmier trace N. Christopher Phillips - C^{*}-algebras of minimal diffeomorphisms Christian Skau - Toeplitz flows and Choquet simplices-using Bratteli diagrams and dimension groups to establish a connection Keith Taylor - A connection between projections in the L^{1}-algebra of a locally compact group and wavelets Ordered Groups Steven Boyer - Orderings of 3-manifold groups Patrick Dehornoy - Gaussian groups are torsion-free Juan Gonzalez-Meneses - Ordering pure braid groups on closed surfaces Peter Linnell - Left ordered and locally indicable groups Akbar Rhemtulla - Which classes of right orderable groups are locally indicable? Dale Rolfsen - Group orderings respecting automorphisms, with applications Bert Wiest - Orderings of mapping class groups after Thurston Peter Zvengrowski - Fundamental groups of Seifert manifolds Partial Differential Equations Stephen Anco - Well-posedness of the Cauchy problem for a novel generalization of Yang-Mills equations Changfeng Gui - On some mathematical problems related to phase transition Dirk Hundertmark - An optimal L^{p} bound on the Krein spectral shift function Reinhard Illner - Existence and use of kinetic equilibria in traffic dynamics, diffusive granular flow and rarefied gases Alex Iosevich - To be announced Peter Perry - Zeta functions and determinants on hyperbolic manifolds of infinite volume Daniel Pollack - Gluing and wormholes for the Einstein constraint equations Randall Pyke - Characterization of bound states for nonlinear wave and Schrodinger equations Hart Smith - Fundamental solutions for low regularity wave equations Catherine Sulem - The water-wave problem and its long-wave and modulational limits Gunther Uhlmann - Determining riemannian manifolds from the Dirichlet-to-Neumann map Man-Wah Wong - The special Hermite semigroup Probability and its Applications David Brillinger Peter Calabrese - Microsatellite models Don Dawson - Some aspects of the infinitely many Alleles model Joe Felsenstein - Constructing a robotic evolutionary geneticist Steve Krone - When can one detect overdominant selection in the infinite alleles model? Neal Madras - A model of segregation Peter March - To be announced Jeremy Quastel - Internal DLA Byron Schmuland - To be announced Contributed Papers Session Ghada Alobaidi - Using Monte Carlo methods to evaluate sub-optimal exercise policies for American options Raluca Balan - A Markov property for set-indexed processes Howard E. Bell - Almost-commutativity in rings Alina Carmen Cojocaru - On the cyclicity of the reduction modulo p of an elliptic curve over Q without complex multiplication Francois Dubeau - On impulsive ordinary and delay differential equations Zhaosheng Feng - The existence of the algebraic curve solution for second order polynomial autonomous systems in the complex domain Gail Ivanoff - Random censoring in set-indexed survival analysis Tomasz Kaczynski - Recursive coboundary formula for cycles in acyclic chain complexes Roland Mallier - Laplace transforms and American call options Doug Pitney - Web-based mathematics instruction: two Australian models Volker Runde - Quasi-central, bounded approximate identities for group algebras Dieter Ruoff - Hyperbolic parallelograms-properties and applications David Savitt - Modularity of some potentially Barsotti-Tate Galois representations