Simon Fraser University

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...

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...

Bregman proximal-type algorithms, such as mirror descent, are popular in optimization and data science for effectively exploiting problem structures and optimizing them under tailored geometries. However, most of existing convergence results rely on...

A well-known conjecture in physical literature states that high frequency waves propagating over long distances through turbulence eventually become complex Gaussian distributed. The intensity of such wave fields then follows an exponential law...

The practical performance of an optimization method depends on details such as using good step sizes. Strategies for setting step sizes are generally limited to hyperparameter tuning (for a fixed step size), step size schedules and line searches. For...

An $H$-intersecting family of 3-uniform hypergraphs on $n$ labelled vertices is a family of hypergraphs $\mathcal{F}$ such that for any pair of hypergraphs $G_1, G_2 \in \mathcal{F}$, the intersection $G_1 \cap G_2$ contains a copy of $H$ as a...

Operator learning is an emerging field at the intersection of machine learning, physics, and mathematics, that aims to discover properties of unknown physical systems from experimental data. Popular techniques exploit the approximation power of deep...

The Vlasov-Poisson system is a non-linear PDE describing the mean-field time-evolution of particles forming a plasma or a galaxy. In this talk I will present uniqueness criteria for the Vlasov-Poisson equation in the classical and semi-relativistic...

We construct a convex body $K$ in $R^n$, $n \ge 5$, with the property that there is exactly one hyperplane $H$ passing through $c(K)$, the centroid of $K$, such that the centroid of $K \cap H$ coincides with $c(K)$. This provides answers to questions...

Grothendieck's duality theory relies on the notion of a dualizing complex. In the non-commutative setting such dualizing complexes were studied in the 90s beginning with work by Yekutieli. Since these complexes are not unique (for example, one can...