Past Events

In 1849, Dirichlet showed that sum_{n le x} d(n) = x(log x+2gamma-1)+Delta(x) with Delta(x) ll sqrt{x} where d(n) counts the number of divisors of n and gamma is the Euler constant. An interesting problem is to study the behaviour of Delta(x), for...

I'll discuss some connections between algorithms for finding rational points on curves and some cryptosystems. Akiyama and Goto have proposed a cryptosystem based on rational points on curves over function fields (stated in the equivalent form of...

The outer automorphism group Out(F) of a free group F of finite rank shares many properties with the mapping class group of a surface, however the techniques for studying these groups are generally quite different. Analogues of the pseudo-Anosov...

In symbolic dynamics, a Z^d shift of finite type (or SFT) is the set of all ways to assign elements from a finite alphabet A to all sites of Z^d, subject to rules about which elements of A are allowed to appear next to each other. A simple example of...

A solution of the identifiability problem (IP) for hidden Markov models (HMMs), based on a novel algebraic theory for random sources, is presented. It gives rise to an efficient and practical algorithm that can be easily implemented. Extant...

An overview of the MITACS ACCELERATE Graduate Research Internship Program is given. This program connects companies with university researchers. Some examples of past internships will be given as well as the administrative details of how an...

Superlattice patterns and quasipatterns, while well-studied in waves on the surface of vertically vibrated viscous fluids (Faraday waves), have found little attention in forced oscillatory systems. We study such patterns, comprised of 4 or more...

Disjunctive programming is a classical technique for 0-1optimization in which a set of vertices of the hypercube is approximated by the convex hull of (carefully selected) polyhedra. Through the work of Lovasz, Schriver, Sherali and Adams, and others...

Recent experimental observations have revealed that during the onset of autoimmune Type 1 Diabetes (T1D), different clones of T cells with various T cell avidities and protein specificities are naturally generated in diabetic animal models. One...