Past Events

A $P$-matrix is a matrix all of whose principal minors are positive. In this talk, we demonstrate that the fractional powers of a $P$-matrix are also $P$-matrices. This insight allows us to affirmatively address a longstanding conjecture raised in [D...

The shuffle theorem is a celebrated result in algebraic combinatorics that identifies three objects: the Frobenius character of certain Sn representations, the action of the elliptic Hall algebra on symmetric functions, and a particular combinatorial...

Bounded density shifts are examples of hereditary subshifts. Bounded density shifts are defined by disallowing words whose sum of entries exceeds a value depending on the length of the word. After presenting some examples and reviewing the concepts...

I will discuss recent work with Chantal David, Alexander Dunn, and Joshua Stucky, in which we prove that a positive proportion of Hecke L-functions associated to the cubic residue symbol modulo square-free Eisenstein integers do not vanish at the...

The human population presents a unique ecosystem for studying pathogen communities, with anthropogenic activities like COVID-19 lockdowns serving as large-scale natural experiments. In this talk, I begin by exploring how host immune response...

How can we convince non-math majors that vector spaces are cool? How can we design activities that lead to heated debate and audible gasps in our calculus classrooms? When students are curious, they learn better. But helping students see value in an...

Many problems in discrete geometry can be conveniently encoded by a structure known as a semialgebraic graph. These problems include the Erdős unit distance problem and many of its variants, point-line incidence problems studied by Szemerédi–Trotter...

Motivated by parallels between mean eld games and random matrix theory, we develop stochastic optimal control problems and viscosity solutions to Hamilton-Jacobi equa- tions in the setting of non-commutative variables. Rather than real vectors, the...

This special session is organized by the PIMS kantorovich Initiative (kantorovich.org) which is dedicated towards research in the mathematics of Monge-Kantorovich optimal transport and its numerous applications to multiple areas of mathematics...

The degeneracy of a graph is a measure of sparseness that gives important information about its Ramsey- and Turán-type properties. I will talk about the hypergraph extension of these problems. The typical notion of hypergraph degeneracy does not give...