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• Plenary Speakers
• Prizes
• CMS Coxeter-James Lecture
• CMS Doctoral Prize
• Combinatorics
• Dynamical Systems, Celestial Mechanics
• Graphs and Matroids
• Harmonic Analysis
• History of Mathematics
• Mathematical Biology
• Mathematical Education
• Model Theory and Recursion Theory
• Nonlinear Partial Differential Equations
• Number Theory
• Operator Algebras
• Quantum Cohomology and Mirror Symmetry
• Representations of Associative Algebras and Related Topics
• Universal Algebra and Lattice Theory
• Short-course on Cryptography
• Contributed Papers

Plenary Speakers

• Opening Address
• Tom Archibald - France, Germany, and the making of modern mathematics
• Deborah Ball and Hyman Bass - The role of definitions in teaching and learning mathematics
• Robert Calderbank - Quantum computers and cellular phones
• Andrew Granville - Uncertainty principles in arithmetic
• Anand Pillay - Stable theories, examples, and applications
• Madhu Sudan - List decoding of error correcting codes

Prizes

• CMS Coxeter-James Lecture
  • Jingyi Chen - Recent developments in mean curvature flow of higher codimension
• CMS Doctoral Prize
  • Alina Carmen Cojocaru - Elliptic curves modulo p

Combinatorics

• Richard Anstee - A conjecture for small forbidden configurations
• Francois Bergeron - On a conjecture about Littlewood-Richardson coefficients
• Nantel Bergeron - Combinatorial Hopf algebra have character
• Iliya Bluskov - LDEO in recent search for designs
• Jonathan Jedwab - Constructing binary sequences with merit factor greater than 6.34
• Mark Kayll - On weak Sidon sequences: a new proof with an improved bound
• Marni Mishna - Automatic combinatorial identities arising from symmetric functions
• Lucia Moura - Primitive pentanomials and orthogonal arrays
• Frank Ruskey - Some recent results about Venn diagrams
• Nabil Shalaby - Skolem and Rosa-type sequences
• John van Rees - (m,t)-splitting systems and set intersection systems
• Timothy Walsh - Generating gray codes in O(1) worst-case time per word
• David Wehlau - Complete caps in PG(n,2)
• Julian West - Perfect matchings for the Gale-Robinson sequence

Dynamical Systems, Celestial Mechanics

• Larry Bates - Complete integrabilty beyond Liouville-Arnol'd
• Stefanella Boatto - Curvature perturbations and vortex stability
• Monica Cojocaru - Periodic solutions for projected dynamical systems
• Zuosheng Hu - Favard's theorem for almost periodic processes on Banach space
• Wu Jianhong - Hyperbolic PDEs with delay: delayed diffusion and retarded reaction in biological systems
• Tomasz Kaczynski - Detection of interesting dynamics via combinatorial index pairs
• Bill Langford - Hopf meets Hamilton under Whitney's umbrella
• Dan Offin - Lagrangian singularities and stabiltity of periodic orbits
• Juan-Pablo Ortega - The geometry of Hamiltonian conservation laws
• George Patrick - Interactions of relative equilibria of point vortices
• Ernesto Perez-Chavela - Relative equilibria in the charged three body problem
• Mark Roberts - Relative periodic solutions of symmetric Lagrangian systems
• Christiane Rousseau - Modulus of orbital analytic classification of a family unfolding a generic saddle-node
• Manuele Santoprete - Qualitative properties of the anisotropic Manev problem
• Dana Schlomiuk - Recent results on global problems about planar polynomial vector fields
• Tanya Schmah - A slice theorem for cotangent-lifted symmetries
• Jedrzej Sniatycki - Poisson algebras in reduction of symmetries
• Cristina Stoica - Bifurcations from collinear relative equilibria for triatomic molecules
• Andre Vanderbauwhede - Bananas and banana splits: degenerate subharmonic branching in reversible systems

Graphs and Matroids

• Kathie Cameron - Finding induced matchings and dissociation sets in graphs
• Dalibor Froncek - Factorizations of complete graphs into spanning trees
• Penny Haxell - Independent transversals in r-partite graphs
• Peter Horak - Covering vertices of a graph by trees
• Jing Huang - Bigraphs of Ferrers dimension two and circular arc graphs
• Gary McGillivray - Near-Unanimity functions of reflexive graphs
• Sean McGuinness - Sequential transversals in matroids
• Jenny McNulty - Non-orientable matroids and characteristic sets
• Wendy Myrvold - Hunting for torus obstructions
• Nancy Neudauer - Graph representations of a bicircular matroid
• Ortrud Oellermann - Contour vertices and convexity notions in graphs
• Bruce Reed - An odd version of Hadwiger's conjecture
• Nick Wormald - Tournaments with many Hamilton cycles
• Roger Yu
• Bing Zhou - List colouring the hypergraph of maximal cliques of planar graphs

Harmonic Analysis

• Michael Christ - On multilinear oscillatory integrals
• Walter Craig - On surface water waves
• Galia Dafni - Some results on the spaces Q_a(Rⁿ)
• Andrea Fraser - A classification by multipliers of Calderón-Zygmund SIO's on the Heisenberg group
• Sinan Gunturk - Accuracy of one-bit quantization and the fair-duel problem: some extremal problems on {-1,+1} sequences
• Steve Hofmann - L^p bounds for Riesz transforms
• Elliot Krop
• Michael Lacey - Hilbert transform on smooth families of lines
• Marius Mitrea - Estimates on Sobolev and Besov scales for elliptic PDE in non-smooth Riemannian manifolds
• Gerd Mockenhaupt - On the Hardy Littlewood majorant property
• Camil Muscalu - On an inequality of Kato and Ponce in non-linear PDE
• Melvyn Nathanson - Problems in additive number theory
• Malabika Pramanik - Averaging and maximal operators for curves in R³
• Eric Sawyer
• Andreas Seeger - Maximal functions associated with Mikhlin-Hoermander multipliers
• Daniel Tataru - L_p bounds for the eigenfunctions of the Hermite operator
• Gunther Uhlmann - The Dirichlet-to-Neumann map and the boundary distance function

History of Mathematics

• Tom Archibald - Jules Tannery, Paul Appell, and the mathematical research community in France, 1870-1914
• Lawrence D'Antonio - The solution of the Beha-Eddin problem: elliptic curves to the rescue!
• Hardy Grant - Greek mathematics in cultural context
• Alexander Jones - Ptolemy's mathematical tones
• Israel Kleiner - Fermat: The founder of modern number theory
• Gregory Moore - Attacking the infinite, defending the infinite: Cantor's strategy and tactics
• Ram Murty - History of the Euclidean algorithm
• Nathan Sidoli - Menelaus' Theorem in Ptolemy & Theon
• Glen Van Brummelen - Taking latitude with Ptolemy: Al-Kashi's final solution to the determination of the positions of the planets

Mathematical Biology

• Fred Brauer - A discrete model for SARS transmission
• Daniel Coombs - Equilibrium behaviour of cell-cell synapses
• Gerda de Vries - Using mathematical models to deduce the spatio-temporal dynamics of nuclear proteins from experimental fluorescence recovery curves
• Roderick Edwards - Central pattern generators for digging behaviour in sandcrabs
• Maren Friesen - Sympatric ecological diversification due to frequency-dependent competition in Escherichia coli
• Daniel Grunbaum - Extracting social behavior rules from group dynamics of schooling fish
• Yue-Xian Li - A theory of forced pattern formation in excitable media
• Gerald Lim - A numerical study of the mechanics of red blood cell shapes and shape transformations
• Frithjof Lutscher - A solution of the drift paradox
• Nathaniel K. Newlands - Multi-scale modeling of tuna population dynamics: search behaviour drives schooling, aggregation and dispersal
• Eirikur Palsson - Chemotaxis, cell adhesion, and cell sorting using Dictyostelium as a model
• Alexei Potapov - Climate and competition: the effect of moving range boundaries on habitat invasibility
• Peter Taylor - Negotiation in evolutionary games of conflict
• Brian G. Topp - The pathogenesis of type 2 diabetes: a dynamical bifurcation?
• Rebecca Tyson - Dispersal of the codling moth
• Pauline van den Driessche - The spatial spread of a multi-species disease
• James Watmough - Spatial patterns of biological invasions

Mathematical Education

• Brent Davis - A study of mathematics pedagogy
• Panel Discussion - School Mathematics Curriculum: Is there any hope left for "Less is More"?
• Peter Liljedahl - What can mathematicians tell us about learning mathematics?
• Christine Stewart - Any valid method will be accepted...but should it be?

Model Theory and Recursion Theory

• John Baldwin - Categoricity and model completeness
• Gregory Cherlin - Countable universal graphs with forbidden subgraphs: a decision problem
• Paul Eklof - Tilting toward definability
• Yuri Gurevich - Logic of choice
• Carl Jockusch - Completing pseudojump operators
• Julia Knight - Computable classification
• Richard Ladner - The influence of recursion theory on computational complexity theory
• Chris Laskowski - The complexity of trivial, uncountably categorical theories
• David Lippel - One-based theories and finite axiomatizability
• Dave Marker - Remarks on Zilber's pseudoexponentiation
• L. Newelski - Countable coverings of groups and graphs
• Gerald Sacks - Bounding theorems
• Ted Slaman - Random sequences and recursive measures
• Robert Soare - Automorphisms of the computably enumerable sets
• Simon Thomas - Asymptotic cones of finitely presented groups

Nonlinear Partial Differential Equations

• Georg Dolzmann - Nonconvex variational problems and minimizing Young measures
• Stephen Gustafson - Asymptotic stability and completeness in the energy space for nonlinear Schroedinger equations with small solitary waves
• Robert Jerrard - Vortex fliaments in Bose Einstein condensates
• Nathan Kutz - Dynamics and stability of periodic solutions of the optical parametric oscillator equations
• Giovanni Leoni - On optimal regularity for free boundary problems
• Yi A. Li - Hamiltonian approximation of the Green-Naghdi (GN) equations to the water wave problem
• Bob Pego - Dynamic scaling, Smoluchowski ripening and Burgers turbulence
• Dmitry Pelinovski - Bifurcations and stability of BEC solitons in optical lattices
• Keith Promislow - Bifurcation in elliptic-parabolic models of membrane hydration
• Arnd Scheel - Absolute instabilities of standing pulses
• Daniel Spirn - Dynamics and instability of vortex sheets with surface tension
• Vitali Vougalter - Spectra of positive and negative energies in the linearized NLS problem

Number Theory

• Amir Akbary - On non-vanishing of convolution of Dirichlet series
• Chantal David - Average Frobenius distribution for inert primes in Q(i)
• Karl Dilcher - Resultants of Chebyshev and related polynomials
• John Friedlander - On a zero-sum problem
• Hershy Kisilevsky - Twisting elliptic L-functions by Dirichlet characters
• Claude Levesque - Fundamental systems of units for some families of number fields of degree 12 over Q
• David McKinnon - Rational approximation and counting points
• Ram Murty - Modular forms and Dirichlet series
• Nathan Ng - Discrete moments of the Riemann zeta function
• Damien Roy - Simultaneous approximation and small value estimates
• Cam Stewart - On a family of pseudorandom sequences
• Gary Walsh - Ternary recurrence sequences and torsion points on Williams curves
• Hugh Williams - Periodic continued fractions with short periods

Operator Algebras

• Martin Argerami - Young's inequality for trace-class operators
• Berndt Brenken - A C^*-algebra for a winding on the torus
• Julian Buck - Connes-Chern characters of hexic and cubic modules
• Michael Burns - Extending Jones' planar algebras to broader classes of subfactors
• Ken Davidson - A Kaplansky Theorem for free semigroup algebras
• Andrew Dean - Classification of C^*-dynamical systems
• George Elliott - Amenable C^*-algebras: The gathering storm
• Juliana Erlijman - On braid subfactors and generalisations
• Remus Floricel - E₀-semigroups in standard form
• Thierry Giordano - Some developments on orbit equivalence
• David Kerr - Noncommutative geodesic flows and dynamical growth
• Dan Kucerovsky - Locally full extensions
• Michael Lamoureux - Representation of linear operators by Gabor multipliers
• Jamie Mingo - Orthogonal Polynomials and non-crossing annular diagrams
• Andu Nica - On and around the q-circular element
• Igor Nikolaev - Moduli of Riemann surfaces and classification of simple dimension groups of rank 2n
• Vladimir Pestov - Distortion property and the infinite unitary group
• John Phillips - From spectral flow to the local index formula
• N.C. Phillips - Crossed products of irrational rotation algebras by actions of finite groups
• Bahram Rangipour - Cyclic homology of Hopf algebras and duality in cyclic category
• Christian Skau - Free continuous actions of countable groups on the Cantor set
• Keith Taylor - From projections to tight frames

Quantum Cohomology and Mirror Symmetry

• Ionut Ciocan-Fontanine - Gromov-Witten invariants of GIT quotients
• Alastair Craw - Towards the McKay correspondence in higher dimensions
• Chuck Doran - Integral structures, toric geometry, and homological mirror symmetry
• Barbara Fantechi - Quantum cohomology for orbifiolds
• Holger Kley
• Sándor Kovács - Zero sets of holomorphic one forms on varieties of general type
• Ravi Vakil - Schubert induction

Representations of Associative Algebras and Related Topics

• Yuri Bahturin - Gradings on finite-dimensional algebras
• Raymundo Bautista - The category of morphisms between projective modules
• Frauke Bleher - Actions of finite groups on homogeneous coordinate rings
• Thomas Bruestle - Elliptic Lie algebras and tubular algebras
• Ragnar Buchweitz - The derived Eckmann-Hilton argument and commutativity of Hochschild cohomology
• Xueqing Chen - Root vectors and integral PBW basis of the composition algebra of the Kronecker algebra
• Christof Geiss - Semicanonical bases and preprojective algebras
• Ed Green - Ext-algebras of Koszul-like algebras
• Ellen Kirkman - Fixed subrings of Noetherian graded regular rings
• Shiping Liu - The no loop conjecture for special biserial algebras
• Frank Marko - Properties of Schur superalgebras in positive characteristics
• Alex Martsinkovsky - Stabilizing the Auslander-Reiten formula
• Markus Schmidmeirer - Birkhoff's problem and poset representations
• Rita Zuazua - Almost split sequences for complexes of fixed size

Universal Algebra and Lattice Theory

• Erin Beveridge - Irresponsible homomorphisms and rank infinity
• David Casperson - ALDOR and universal algebra
• Dejan Delic - Hereditarily homogeneous locally finite groups
• Dwight Duffus - A lattice theoretic approach to union-closed set systems
• Jie Fang - The endomorphism kernel Property in finite semi-simple Ockham algebras
• George Gratzer - Games sectional complements play
• Benoit Larose - The complexity of solving polynomial equations over finite algebras
• Ralph McKenzie - The interplay between structural insight and algorithmic problems in general algebra
• Bob Quackenbush - The classical umbral calculus via universal algebra
• Michael Roddy - Bruns' conjecture
• Boza Tasic - HSP ¹ SHPS for commutative rings with identity
• Matt Valeriote - Definable principal congruences and solvability
• Shelly Wismath - Inflations and generalized inflations

Short-course on Cryptography

• Neal Koblitz - Introduction to elliptic curve cryptography
• Mike Mosca - Quantum computing and quantum cryptography
• Doug Stinson - Introduction to cryptography
• Hugh Williams - Cryptography and number theory

Contributed Papers