Simon Fraser University

Let M be a smooth submanifold of R^n equipped with the Euclidean(chordal) metric. This talk will consider the smallest dimension, m, for which there exists a bi-Lipschitz function f:M →R^m with bi-Lipschitz constants close to one. We will begin by...

A Landau-Ginzburg (LG) model is a triplet of data (X, W, G) consisting of a regular function $W:X\to\mathbb{C}$ from a quasi-projective variety $X$ with a group $G$ acting on $X$ leaving $W$ invariant. One can build an analogue of Hodge theory and...

Manin’s conjecture is a conjectural asymptotic formula for the counting function of rational points on Fano varieties over global fields. Mainly with Brian Lehmann, I have been studying exceptional sets arising in this conjecture. In this talk I...

All talks will take place on the Burnaby Mountain campus of Simon Fraser University. Details to follow.

First example of applying tensor optimization to combinatorial problems was shown in IPCO 1992: pages 406-420. We improve and strengthen those results in several ways and obtain computational results on three problems – graph partitioning...

Given a family R of rectangles in the plane, the packing number of R, denoted by $\nu$(R), is the maximum size of a set of pairwise disjoint rectangles in R, and the hitting number, denoted by $\tau$(R), is the minimum size of a set of points having...

When we iterate functions over finite structures, there is an underlying natural functional graph. For a function $f$ over a finite field $\mathbb{F}_q$, this graph has $q$ nodes and a directed edge from vertex $a$ to vertex $b$ if and only if $f(a)...

I will discuss my joint work with José Carrillo on a large family of Riesz-type singular interaction potentials with anisotropy in two dimensions. Their associated global energy minimizers are given by explicit formulas whose supports are determined...

Recently, Mohar introduced a variant of the cops and robber game that is played on geodesic spaces. In this talk we discuss the rules of the game and strategies for the players when the game is played on compact surfaces of constant curvature, in...

Many geometry processing tasks can be performed by solving partial differential equations (PDEs) on surfaces. These PDEs usually involve boundary conditions (e.g., Dirichlet or Neumann) defined anywhere on the surface, not just on the physical...