Past Events

I will review how the comparison of Gaussian processes leads to results in convex geometry, and how extremal problems in convex geometry can be translated into a Gaussian framework. I will conclude by presenting new comparison inequalities for...

The energy image density property arises in two seemingly distinct lines of research. It first appeared in Malliavin’s proof of Hörmander’s hypoellipticity theorem and has since played a central role in the study of regularity properties of...

In this talk, I will talk about use of automata theory in answering problems in number theory. In 1844, Catalan conjectured that the set consisting of natural numbers of the form $2^n+1$, $n \ge 0$ and the set consisting of powers of $3$ has finite...

The game of Cops and Robbers is a two-player pursuit–evasion game played on a graph, in which a set of cops attempt to capture a single robber. The players occupy vertices of the graph and take turns moving along edges; capture occurs when a cop and...

I will review a topic in mathematical physics, called Lieb-Robinson bounds, that exemplifies analysis, geometry, and dynamics. These bounds describe the dynamics of a physical system of many interacting quantum degrees of freedom: they control how...

As part of cell signalling, cells sense and respond to mechanical stimuli. This process is called mechanotransduction and is important in many functions of the cell, such as cell migration and tissue homeostasis. Although the biochemistry of cell...

We provide an inferential framework to assess variable importance for heterogeneous treatment effects. This assessment is especially useful in high-risk domains such as medicine, where decision makers hesitate to rely on black-box treatment...

This talk will discuss traditional and modern approximation techniques for (expensive) derivative-free optimization, in which the approximation serves as a tool for identifying the optimality of the black-box objective, rather than merely...

Students of grades 5 to 7 are invited to challenge and develop their thinking and creativity skills at the Math Circle Workshops. This is an enrichment program for students organized by the faculty members of the Department of Mathematics at the...

I will discuss how to formulate and prove a localization theorem for the virtual fundamental class of a moduli space with a relative perfect obstruction theory over a singular base. In the motivating example of the moduli space of stable log maps, I...