Scientific Lectures

  • 29-Sep-07

6th Pacific Northwest PDE Meeting

The 6th Pacific Northwest PDE meeting will be held at Simon Fraser University in Burnaby on Saturday, September 29, 2007.    more››

Simon Fraser University

  • 28-Sep-07

2007 PIMS-CSC Seminar - 02

Towards Robust Finite Element Formulations for Acoustics   more››

Simon Fraser University

  • 27-Sep-07

lambda(lambda(n)): A case study in analytic number theory

A 2005 result of Carl Pomerance and myself identifies the normal order (that is, the asymptotic size for 100% of integers) of the twice-iterated Carmichael lambda-function ?(?(n)), a function that arises when considering an exponential pseudorandom n   more››

University of British Columbia

  • 27-Sep-07

Powers in progression, Chebotarev, and Hilbert class polynomials

I will sketch some rather odd connections between ternary Diophantine equations, the Chebotarev Density Theorem and heights of Hilbert class polynom   more››

University of British Columbia

  • 27-Sep-07

Modeling the Spread of West Nile Virus

West Nile virus was detected in New York State in 1999, and has spread rapidly across the continent causing bird, horse and human mortality. The aim of this lecture is to model this spread. Biological assumptions are summarized and lead to the dev   more››

University of British Columbia

  • 26-Sep-07

Recent progress in the random conductance model

TBA   more››

University of British Columbia

  • 26-Sep-07

Bounds on the Crosscap Numbers of Torus Knots

In joint work with Sizemore, we build on Teragaito's calculation of the crosscap number $c(K)$ of a torus knot $K$ to give bounds in terms of the genus $g(K)$ and crossing number $n(K)$: $c(K) leq lfloor (g(K) + 9)/6 floor$ and $c(K) leq l   more››

University of British Columbia

  • 25-Sep-07

On renormalized solutions of parabolic equations

TBA   more››

University of British Columbia

  • 24-Sep-07

Turbulent heat transport: upper bounds by a priori estimates

We are interested in the transport of heat through a layer of viscous fluid which is heated from below and cooled from above. Two mechanisms are at work: Heat is transported by simple diffusion and by advection through the flow. The transport by a   more››

University of British Columbia

  • 24-Sep-07

Fast Iterative Solution of Models of Incompressible Flow

We discuss new efficient algorithms for computing the numerical solution of the incompressible Navier-Stokes equations. We show that preconditioning algorithms that take advantage of the structure of the linearized equations can be combined with K   more››

University of British Columbia

  • 21-Sep-07

2007 PIMS-CSC Seminar - 01

Design of a high quality optical resonator   more››

Simon Fraser University

  • 21-Sep-07

Design of a high quality optical resonator

We consider resonance phenomena for the scalar wave in an inhomogeneous medium. Resonance can be described as a solution to the wave equation that is spatially localized while its time dependence is (mostly) harmonic except for decay due to radiat   more››

Simon Fraser University

  • 20-Sep-07

Gradient Flows and Energy Landscapes II

Micromagnetics deals with the spatial pattern formed by the magnetization of a ferromagnet. From the point view of mathematics, micromagnetics is an ideal testbed for a pattern-forming system in materials science: There are abundant experiments on   more››

Simon Fraser University

  • 19-Sep-07

Boundary Slope Diameter and Crossing Number of 2-Bridge Knots

In joint work with Maybrun and Robinson, we prove that for 2-bridge knots, the diameter of the set of boundary slopes is twice the crossing number. We also show that 2-bridge knots with four or fewer boundary slopes have a boundary slope of genus two   more››

University of British Columbia

  • 19-Sep-07

Linear Stochastic Differential-Algebraic Equations

A Differential-Algeraic Equation is, essentially, an Ordinary Differential Equation F(x,dot x)=0 that cannot be solved for the derivative dot x . In a recent joint paper with A. Alabert of UAB, Barcelona, we studied the linear st   more››

University of British Columbia

  • 18-Sep-07

Gradient Flows and Energy Landscapes I

Micromagnetics deals with the spatial pattern formed by the magnetization of a ferromagnet. From the point view of mathematics, micromagnetics is an ideal testbed for a pattern-forming system in materials science: There are abundant experiments on   more››

Simon Fraser University

  • 18-Sep-07

Exact Bounds for Forbidden Configurations

We explore some exact bounds for Forbidden Configurations, which have a design theory flavour. Let q be given. Consider an m-rowed (0,1)-matrix A, which has no repeated columns. Assume there is no qx2 submatrix of A which is a r   more››

University of British Columbia

  • 17-Sep-07

Donaldson-Thomas and Gromov-Witten theory of orbifolds and their resolutions

A general principle in physics asserts that string theory on a Calabi-Yau orbifold should be equivalent to string theory on any Calabi-Yau resolution of the orbifold. A mathematical realization of this principle is the idea that Donaldson-Th   more››

University of British Columbia

  • 14-Sep-07

Early History of Singular Perturbations (1904-1940)

This equationless talk will describe how singular perturbations began in the ten-minute talk of Ludwig Prandtl at the 3rd International Congress of Mathematicians and how it developed slowly, culminating in the efflux out of Goettingen after 1933   more››

University of British Columbia

  • 13-Sep-07

Cubic points on cubic curves and the Brauer-Manin obstruction on K3 surfaces

It is well-known that not all varieties over Q satisfy the Hasse principle. The famous Selmer curve given by 3x3 + 4y3 + 5z3 = 0 in P2, for instance, indeed has points over every completion of Q, but no points over Q itself. Though it is trivial to f   more››

University of British Columbia