Math 2000

Abstracts - grouped by symposium
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Public Lecture

James Stewart - How to enliven the mathematics classroom

Plenary Speakers

James Arthur - An introduction to the trace formula
Francis Clarke - The feedback problem in control theory
Ioannis Karatzas - Financial mathematics
Dusa McDuff - Some open problems in symplectic topology
Gene Myers - Whole genome assembly of the Drosophila and human genomes
Raymond Pierrehumbert - Statistical mechanics of chaotic advection-diffusion in the atmosphere
Carl Pomerance - Prime numbers: what we still don't know
Maurice Queyranne - Scheduling polyhedra: from cutting planes to approximation algorithms
Lawrence Shampine - Solving ODEs in new computing environments
Demetri Terzopoulos
Lou van den Dries - Logarithmic-exponential series
Shing-Tung Yau - PDE-to be confirmed
Efim I. Zelmanov - On some algebraic structures related to conformal field theory

Prize Lectures

CMS Krieger-Nelson Lecture

C. Kanta Gupta - Varieties of groups and group representations

CAIMS Doctoral Prize

Stephen Gustafson

Algebraic Groups

James Carrell - Singular loci of subvarieties of G/B stable under a maximal torus
Dragomir Z. Djokovic - Closure ordering of adjoint nilpotent orbits in simple real lie algebras
Bruce Gilligan - On globalization of holomorphic actions
Andy R. Magid - Pro-algebraic hulls of discrete groups: examples and questions
Arturo Pianzola - Line bundles and conjugacy theorems
Lex E. Renner - An explicit cell decomposition of the canonical compactification of a semisimple algebraic group
Carl Riehm - Orthogonal representations of finite groups
John Scherk
David Wehlau - Using ladders to compute invariants of p-groups

Biofluid Dynamics & Medical Science

James Drake - Requirement for new mathematical models of the brain for hydrocephalus treatment
Corina Drapaca - Transient ventricular wall dynamics in shunted hydrocephalus
Tony Heenan - Visualization of the flow through the human oro-pharynx
E. Krause - Flow-modeling for the human circulatory system
Katrin Rohlf - Stochastic theory of blood flow in small vessels
Marek Stastna - Some Problems in the application of consolidation theory to hydrocephalus
John Stockie - Simulating flexible fibres immersed in fluid

Control Theory

Francis Clarke - Robustness of discontinuous feedbacks
Geir E. Dullerud - Distributed control of inhomogeneous systems, with boundary conditions
Bruce Francis - Applications of postmodern control theory
Leon Glass - Control of complex rhythms in medicine: theory, experiment, and clinical applications
Kazifumi Ito - Receding horizon optimal control problem for infinite dimensional control systems
Andrew Lewis - Affine connection control systems
Kirsten Morris - Comparing finite-dimensional models for infinite-dimensional systems
Hitay Ozbay - Finite dimensional H-infinity controllers for a class of infinite dimensional systems
David Russell - Forced waves in a supported nonlinear elastic beam
Ron Stern - Some issues in discontinuous feedback design

Cryptography & Number Theory

Dan Bernstein - Sieving in cache
Tom Cusick - Boolean functions and cryptography
John Friedlander - Carmichael's function and the power generator
Rob Lambert - Solution of linear systems for discrete logarithm calculation
Michele Mosca - Quantum computers: powers and limitations
Kumar Murty - Points on Abelian varieties over finite fields
Renate Scheidler - Invariant computation and cryptography in function fields
Oliver Schirokauer - The discrete logarithm problem in finite fields
Jon Sorenson - A fast algorithm for approximately counting smooth numbers
Andreas Stein - Explicit bounds in function fields and cryptographic applications
Doug Stinson - Some baby-step giant-step algorithms for the low hamming weight discrete logarithm problem
Gary Walsh - Problems of fundamental importance in crypto number theory
Robert Zuccherato - Obtaining non-repudiation within a PKI environment

Education

Education 1 Models for the Education of Future School Teachers

Andrew Adler - A course on making and presenting problems
Bradd Hart and Eric Muller - To be announced
Kathy Heinrich - But the students won't know I hate math
David Henderson - Teachers as mathematicians-mathematicians as teachers
Bernard Hodgson - Specific mathematics courses in teacher education: some examples for prospective primary and secondary teachers
Andy Liu - Math fair
Miroslav Lovric - ``Teaching mathematics'' course at Mcmaster university-an innovative attempt at improving quality of teaching
Pat Rogers and Walter Whiteley - Some current mathematics courses for teachers
Harley Weston - Mathematics every teacher should know

Education 2 New Approaches, New Technologies

Efim A. Galperin - Web-aided spreadsheet education: the myth and realities
Jack Macki - Reforming the first two years of engineering mathematics
Bill Ralph - Mathematics meets multimedia-the journey through calculus software
Bill Ralph and Janet Piper - JTC (Journey through calculus) workshop

Education 3 Technology in the Teaching and Learning of Differential Equations

Edgardo Cheb-Terrab - Research and educational tools for differential equations in Maple
Robert Corless - Applications of the NODES package for solving IVPs for ODE in Maple: modules for classroom use
Chris Essex - Numerical monsters
Keith Geddes - Generating numerical ODE formulas via a symbolic calculus of divided differences
George Labahn - To be announced

Financial Mathematics

Nicolas Hernandez - Scenario generation techniques in mark-to-future analysis
Tom Hurd - Estimation of multivariate Levy distributions
Ali Lari-Lavassani - Modeling and valuing energy derivatives
Tom Salisbury - Knockout baskets and survivorship bias

Geophysical Fluid Dynamics

Lucy Campbell - Nonlinear critical layer development of forced wave packets in geophysical shear flows
Mike Foreman - Summer current simulations for Juan de Fuca Strait and southwestern Vancouver Island
Richard Greatbatch - Who needs the Boussinesq approximation?
Richard Karsten - A thermally and mechanically driven model of the circumpolar current
Balu Nadiga - Idealized studies of mesoscale-eddies in oceans
Martin Oberlack - Universal principles of turbulent wall-bounded flows
W. Schroeder and M. Meinke - Large-eddy simulation of internal flows
David Straub - Instability of chaotic 2 dimensional flow to 3D perturbations

Group Theory

Robert Burns - Constructible groups and a dichotomy in group laws
Lisa Carbone - Lattices on non-uniform trees
John Dixon - Using probabilistic methods to prove theorems in group theory
Anthony M. Gaglione - Are some groups less discriminating than others
Steve Gersten - To be announced
Bob Gilman - Languages of free generators
Sergei Ivanov - Intersecting free subgroups in free products of groups
Olga Kharlampovich - JSJ decomposition for finitely generated fully residually free groups
John Labute - On the cohomological dimension of one-relator pro-p-groups
Alexei Miasnikov - Exploiting links between the algebraic geometry over groups and logic
Akbar Rhemtulla - Incompatible group orderings, local indicability and braids
Luis Ribes - Finite extensions of free pro-p groups
Vladimir Shpilrain - Measuring sets in finitely generated groups
Francis Chi-Yu Tang - On the residual finiteness of the outer automorphism groups of certain generalized free products

History of Mathematics at the Dawn of a New Millennium

Francine Abeles - Game theory and politics: a note on C. L. Dodgson
Amy Ackerberg-Hastings - The semi-secret history of Charles Davies
Christopher Baltus - Gauss's algebraic proof of the fundamental theorem of algebra
Edward Cohen - The leap-year problem has not gone away
Tom Drucker - Language, truth, and logic in Russell's mathematics
Craig Fraser - Hilbert's Grundlagen der geometrie and its relation to Euclid's elements
Roger Godard - Interpolation theory at the dawn of a new millennium: an historical approach
Hardy Grant - Greek mathematics in cultural context
Nicholas Griffin - Russell's logicism is not `If-Thenism'
Agnes Kalemaris - Grace Murray Hopper was a mathematician
Israel Kleiner - Aspects of the evolution of field theory
Erwin Kreyszig - ``Modern'' starts
Sharon Kunoff - A commentary on the first Hebrew geometry and its relationship to the first arabic geometry
Gregory Lavers - Gödel, Carnap and Friedman on analyticity
David Laverty - Kit Fine's theory of variable objects and his
Daryn Lehoux - The Zodiacal days in the Geminus and Miletus parapegmata
Albert Lewis - The contrasting views of Charles S. Peirce and Bertrand Russell on Cantor's transfinite paradise
Hugh McCague - The mathematics of building and analysing a medieval cathedral
Duncan Melville - Third millennium mathematics: A brief survey
Mike Millar
Gregory Moore - Editing mathematicians: Bertrand Russell and Kurt Goedel
Ram Murty - Euclid, Brahmagupta, and ABC
Adrian Rice
Ariane Robitaille - Can we learn something about combinatorics from review journals?
Donna Spraggon - Felix Klein's ``Erlanger programm'' and its influence
Jim Tattersall - Vignettes from Gerbert's mathematics
Rudiger Thiele - On Hilbert's 24th problem
Robert Thomas - Mathematics and fiction: A pedagogical comparison
Glen Van Brummelen - sin 10: From Ptolemy to al-Kashi

Imaging & Vision

Peter Belhumeur - To be announced
Robert Dony
Paul Fieguth - To be announced
Jacques Levy-Vehel - To be announced
Ross Mitchell - To be announced
Dietmar Saupe - To be announced

Industrial Statistics

Manou Hosseini - Performance-dependability prediction in an uncertain environment
Ivan Miletic and Adam Smyth - Controller performance monitoring in the steel industry
Mike G. Richards - Multivariate process analysis-advanced tool for six sigma quality
Samuel Shen - Optimal estimation of climate parameters

Logic

Luc Bélair - Delta-rings and axioms for Frobenius on Witt vectors
Max Burke - Borel measurability of separately continuous functions
Ilijas Farah - Layered Ramseyan structures (joint work with Neil Hindman, Howard University)
Klaas Pieter Hart - Fun with model theory in topology
Michael Hrusak - Combinatorics of MAD families
Salma Kuhlmann - A maximality property of the Hardy field H(R_an^Powers)
Justin Moore - Dimensions of Martin's axiom
David Pierce - Differential geometry in model theory
Sergei Starchenko - On stable structures definable in o-minimal models
Simon Thomas - Asymptotic cones of finitely generated groups
Stevo Todorcevic - Parametrized Ramsey theory

Mathematical Biology

Jacques Belair - Delayed regulation in hormonal systems: oscillations and control
David Bryant - The combinatorics of quartet phylogenies
Sue Ann Campbell - Multistability in coupled, near-identical neural models
Gerda de Vries - From spikers to bursters via coupling: effects of noise and heterogeneity
Michael Doebeli - Evolutionary branching and sympatric speciation caused by different types of ecological interactions
Leah Edelstein-Keshet - Recent progress in biomedical modelling
Roderick Edwards - Structure and behaviour in gene networks
Herb Freedman - Competition models of cancer treatment
Leon Glass - Dynamics of reentrant tachycardia
John Hsieh - Statistical inference of stochastic models in life sciences
Lila Kari - Life like a theorem
Yue-Xian Li - Tango waves in a bidomain model of fertilization calcium waves
Andre Longtin - Dynamical gain control in electrosensory systems
Michael Mackey - Periodic hematological diseases: insight into the pathology from mathematical modeling
Robert Miura - Resonances in excitable cells
Shigui Ruan - Global Analysis in a predator-prey system with nonmonotonic functional response
Frances Skinner - Cellular mechanisms of neuronal network behaviour
Jack Tuszynski - Nonlinearity and fractality in the mathematical modelling of pharmacokinetic processes
Pauline van den Driessche - The number of limit cycle solutions to n-dimensional dynamical systems with biological applications

Math on the Internet

Jonathan Borwein - CEIC: International Mathematical Union Initiatives
Richard Cannings and Claude Laflamme - Interactive Mathematics on the Web using Java and T_EX
Bill Casselman - Archimedes animated
Stan Devitt - Mathematical semantics, OpenMath and the Web
Angel Diaz - XML Based Interactive Scientific Publishing With The Mathematical Markup Language
Larry Husch - Visual calculus-a report
Nicholas Jackiw - JavaSketchpad: web-based dynamic geometry
Loki Jörgenson - Three years later: are the CMS' digital journals a success?
Ulrich Kortenkamp - Interactive geometry
Konrad Polthier - Mathematical visualization and online experiments with JavaView
Paul R. Wellin - Mathematica and Mathematics on the Web
Eric Woolgar - A proposal for a mathematics digital library

Operations Research - presented by CORS

Operations Research 1 Operational Research Applications at DOFASCO

Brian Denton - To be announced
Vit Vaculik and François Boudreau - To be announced

Operations Research 2 Mathematical Programming

Allen Holder - Radiotherapy planning via linear optimization
Tamás Terlaky - New proximities and search directions for linear and semidefinite optimization

Operations Research 3 Operational Research Applications to Health Care

John Blake - Goal programming in hospital case mix management
Michael Carter - To be announced

Partial Differential Equations

Stephen Anco
Dan Burns - Algebraicization of entire Grauert tubes
S. Chanillo
Walter Craig
Nassif Ghoussoub - To be announced
Zheng-chao Han - Existence and compactness results of the Yamabe problem with boundary
Victor Ivrii - Spectral asymptotics with sharp remainder estimates for operators with low regularity condition
Howard Jacobowitz - On the existence of elliptic pseudodifferential operators
Song-Ying Li - Boundedness of the second derivatives of Green's operators on H¹ and BMO
Xinan Ma - To be announced
Robert McCann - Kinetic equilibration rates for granular media
Hayato Nawa - Blowup of solutions of a class of nonlinear Schrödinger equations
Dmitry Pelinovsky - Degenerate rational solutions of the KP hierarchy
E. Poletsky - To be announced
Joel Smoller - Non-formation of vacuum states for the compressible Navier-Stokes equations
Catherine Sulem - Asymptotic stability of solitary waves for nonlinear Schrödinger equations
Daniel Tataru - On Strichartz type estimates and the nonlinear wave equation
John Toth - To be announced

Symplectic Geometry

Maxim Braverman - Quantization of non-compact Hamiltoninan G-spaces
Ana Cannas da Silva - Index of contact diffeomorphisms and folded symplectic structures
Viktor Ginzburg - Existence of periodic orbits for some classes of Hamiltonian systems
Rebecca Goldin - A generalization of a theorem of Goresky-Kottwitz-MacPherson I
Victor Guillemin - Morse theory on graphs, part I
Tara Holm - A generalization of a theorem of Goresky-Kottwitz-MacPherson II
Jacques Hurtubise - Integrable systems, loop groups and surfaces
Lisa Jeffrey - Intersection pairings on singular quotients
Young-Hoon Kiem - Intersection homology of symplectic torus quotients
Mikhail Kogan - Schubert varieties and Gelfand-Cetlin polytop
Eugene Lerman - Contact cuts
Steven Lillywhite - The topology of symplectic reductions of loop spaces
Eyal Markman - Hyperkahler varieties; their reflections and monodromy
Reyer Sjamaar - Moment maps and Riemannian symmetric pairs
Jennifer Slimowitz - Shortening the Hofer length of Hamiltonian circle actions
Margaret Symington - Singular Lagrangian fibrations in dimension four
Sue Tolman - Symplectic packing, Gromov width, and Grassmanians
Lisa Traynor - Invariants for legendrian tangles
Thomas Treloar - Manin pairs and the symplectic geometry of polygons
Jonathan Weitsman - To be announced
Catalin Zara - Morse theory on graphs, part II

Topology of Manifolds

Hans Boden - Integral and non-integral SU(3) generalizations of the Casson invariant, Part I
Leo Butler - Topology and integrable geodesic flows
Diarmuid Crowley - Classification of 3-sphere bundles over the 4-sphere
James F. Davis - Algebraic K-theory of virtually cyclic groups
Chris Herald - Integral and non-integral SU(3) generalizations of the Casson invariant, Part II
Heather Johnston - Homology manifold bordism: Everyone has an evil twin
Lowell Jones - Classifying chain complexes
Young-Hoon Kiem - Intersection homology of representation spaces of surface groups
Slawomir Kwasik - 3-dimensional surgery, UNil-groups and the Borel conjecture
Tian-Ju Li - Intersection forms of non-spin manifolds
Michael McCooey - Symmetry groups of four-manifolds
Erik Pederson - To be announced
Ranja Roy - The trace conjecture-a counterexample
Darius Wilczynski - Group actions on Hirzebruch surfaces
Bruce Williams - Transfer maps for K-theory and L-theory

Contributed Papers Session

Anne Bourlioux - The mathematics behind the computation of turbulent flames
Christina Christara - Fast solvers for quadratic spline collocation equations
John Clements - Investigation of the equal anisotropy ratio assumption in the bidomain model for a human ventricular myocardium
Boris Dekster - Each convex body in E³ symmetric about a plane can be illuminated by 8 directions
David Earn - A simple model for complex dynamical transitions in epidemics
A.B. Gumel, Beni Sahai, and P.N. Shivakumar - Numerical model for the dynamics between HIV and CD4+ T cells in vivo
Ranis Ibragimov - On the tidal motion around the earth complicated by the circular geometry of the ocean's shape
David Iron - The stability of spike solutions to the 1-dimensional Gierer-Meinhardt model
Jun Li and S. Dubuc - Le pavage du plan par la coube de Lévy
X. Li, C. Essex, and M. Davidson - Oscillation and stability of age structured population
Dong Liang, Huaxiong Huang, and Brian Wetton - Motion of a liquid drop on a partially wetting surface under shear
Roland Mallier - Modal interactions in a bickley jet by direct numerical simulation
Sergey Sadov - A mathematical model of ice melting on transmission lines
Paul J. Sullivan and Tom Schopflocher - The PDF of scalar concentration in turbulent flows
W. Yao, C. Essex, and P. Yu - Analysis on a simple quiet standing model
Pei Yu - Computation of simplest normal forms using a perturbation technique
Yuan Yuan and Pei Yu - Computation of simplest normal forms of Bodganov-Takens singularities
Huaiping Zhu - Stability and bifurcation of a multiple delayed system of coupled excitatory and inhibitory neurons

Graduate Student Poster Session

Lindsay Anderson - Pricing a fixed-strike asian call option with continuous arithmetic averaging
Wael Bahsoun - Invariant measures for inner functions
Sharene Bungay - Optimization of first order saddle points using genetic algorithms
Andrea Doeschal - Assessment of a cellular model for sediment transport in braided rivers
John Jan Drozd - The apsidal angle and its derivative in Newton's apsidal precession theorem
Khalid Elyassini - A new resolution approach for linear programming problems
Boulaem Khouider - Université de Montréal, Montréal, Quebec
Joseph Khoury - On some properties of elementary derivations in dimension six
Sehjung Kim - Dynamical behaviors of a network of three neurons with a piecewise linear signal function
Xiaorang Li - Fractional differential equation with maple
Ramin Mohammadalikhani - Moduli spaces of flat connections on surfaces
Israel Ncube - Stochastic approximation for a simple automatic classifier via a dynamical systems approach
Kit-Sun Ng - Quadratic spline collocation methods for systems of PDEs
Lila Rasekh - Discrete cosine transform
Robert Smith - Self-cycling fermentation and impulsive dynamical systems