Past Events

The Selberg class consists of functions sharing similar properties to the Riemann zeta function. The Riemann zeta function is one example of the functions in this class. The estimates for logarithms of Selberg class functions and their logarithmic...

A basic question in algebraic geometry is whether there can be any non-constant maps between (smooth, projective) varieties of different types. I will explain some basic and some more sophisticated obstructions to the existence of such maps, mostly...

The COVID-19 pandemic has illustrated both the utility and limitation of using epidemic models for understanding and forecasting disease spread. One of the many difficulties in modelling epidemic spread is that caused by behavioural change in the...

The question of integrality for semi-simple algebraic groups over the field of rational numbers was esablished by Chevalley in the 1950s as part of his work on associating affine group schemes with groups over integers. For infinite-dimensional Kac...

A well-known result on compact Riemann surfaces says that the automorphism group of any such surface is a finite group of bounded size (based on the genus of the surface). Additionally, the Riemann-Hurwitz formula gives us an expectation for when a...

Given an abelian variety A defined over a number field, a conjecture attributed to Serre states that the set of primes at which A admits ordinary reduction is of positive density. This conjecture had been proved for elliptic curves (Serre, 1977)...

Shifted divergences provide a principled way of making information theoretic divergences (e.g. KL) geometrically aware via optimal transport smoothing. In this talk, I will argue that shifted divergences provide a powerful approach towards unifying...

The line graph of a graph $G$ is the graph $L$ with vertex set $E(G)$ in which two vertices are adjacent if and only if the corresponding edges of $G$ share an endpoint. A famous theorem of Beineke characterizes the class of line graphs by a list of...

Partial differential equations (PDEs) on surfaces arise throughout the natural and applied sciences. The solution of such equations poses a big challenge for rather general surfaces, where no parametrization is possible. In this talk, we will give an...

The random connection model (RCM) is a random graph model where the vertices are given by a Poisson point process with a given intensity, λ>0, and the edges exist independently with a probability that depends upon the relative positions of the two...