Past Events

q-analogues of quantities in mathematics involve perturbations of classical quantities using the parameter q, and revert to the original quantities when q goes 1. A notable example is the q-analogues of binomial coefficients, denoted by {n \choose k}...

Recent interactions between probability and number theory proved fruitful. In particular, random multiplicative functions (RMFs) are random models for partial sums of the Möbius function and Dirichlet characters, which are related to L-functions like...

Within the Langlands program, the theory of endoscopy concerns the transfer of distributions between a reductive group G and G′, an endoscopic group of G. At the heart of Langlands' original study on Beyond Endoscopy is the notion of stable transfer...

In this talk, we derive nonlinear Schrödinger equations and the Hartree equation as effective descriptions of the linear many-body Schrödinger equation. Starting with an introduction to the motivation and the mathematical framework, we will explore...

The COVID-19 Pandemic placed considerable strain on intensive care units, and the critical care system in British Columbia and worldwide. I will review the critical care system and how it responded to the COVID-19 pandemic. During the first wave of...

Over the years, there have been several open problems involving polynomials that I would love to tell others about. This opportunity to speak at my “home ground” seems the perfect time to do so. More specifically, I will discuss the following: A...

Distinguished representations are representations of a reductive group $G$ on a vector space $V$ such that there exists a $H$-invariant linear form for a subgroup $H$ of $G$. They intervene in the Plancherel formula in a relative setting, as well as...

Many fundamental problems in extremal combinatorics can be expressed as inequalities in graph homomorphism densities. In this talk, I will introduce some new results on this topic. Our research involves Sidorenko's conjecture, Kohayakawa-Nagle-R{\"o...

I will give an overview of forthcoming work proving that large critical percolation clusters in high-dimensional lattices converge under rescaling to the expected universal limit object: superBrownian motion. A key step is to compute the first-order...

Fire blight is a bacterial plant disease that affects apple and pear trees. We present a mathematical model for its spread in an orchard during bloom (sometimes referred to as blossom blight). This is a PDE-ODE coupled system, consisting of two...