## Scientific Lectures

- 11-Oct-07

Why things don't fall down - Art, geometry and engineering

Why do some geometric shapes hold together, while others are floppy and fall down? An eggshell and a convex dome are rigid, while polygons, with four or more sides of fixed length in the plane, flex. The geometric principles for convex shapes go b more››

University of Calgary

- 11-Oct-07

MITACS Math Finance Seminar 2007

The Mutual Fund Theorem (MFT) is considered in a general semimartingale financial market $ with a finite time horizon T. It is established that: 1) If for given utility functions (i.e. investors) the MFT holds true in all Brown more››

University of British Columbia

- 10-Oct-07

The unfinished revolution: space, time and the quantum

Between 1905 and 1926 Einstein, Bohr and others initiated a scientific revolution by the introduction of quantum mechanics and relativity theory. The revolution is unfortunately still incomplete, because there are major unresolved issues. Th more››

University of British Columbia

- 10-Oct-07

The geometry of rigid and non-rigid structures

Convex triangulated surfaces in three-space are rigid by Cauchy's Theorem. But what about non-convex surfaces? Some interesting recent examples of classes of non-convex surfaces have some convex-like properties, and yet are still rigid. On the oth more››

University of Calgary

- 4-Oct-07

Total Positivity and its Applications

A matrix is called totally positive (resp. totally nonnegative)if all of its minors are positive (resp. nonnegative). This important class of matrices grew out of three separate applications: Vibrating systems, interpolation, and statistics. Since more››

University of Calgary

- 4-Oct-07
- 5-Oct-07

Optimal investment under partial information

We consider the problem of maximizing terminal utility in a model where asset prices are driven by Wiener processes, but where the various rates of returns are allowed to be arbitrary semi-martingales. The only information available to the investo more››

University of British Columbia

- 2-Oct-07

2-Dimensional Lp-Minkowski problem

et S^{n-1}subset R^n be the unit sphere. The L_p-Minkowski problem proposed by Lukwak is a natural generalization of the classical Minkowski problem. Analytically, it is equivalent to find positive solutions of the equation det( more››

University of British Columbia

- 2-Oct-07

Finite Element Analysis of CAD Large Assemblies

In today's product development and engineering process, usage of computer aided design (CAD) platform is obvious. It allows crating of quite realistic models, precisely describing not only the geometry of the developed prototype, but also its phys more››

University of British Columbia

- 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

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

- 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

- 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

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