Past Events

We generalize a result about the face numbers of polytopes to the realm of CW spheres. Let X be a CW sphere such that: X is strongly regular. (The intersection of any two faces is a face.) X is shellable. (We can build X, facet by facet, so that each...

An highly active research area is concerned with finding conditions on sparse sets that ensure the existence of many geometric patterns. I will present some results in this direction connecting Newhouse thickness and its generalizations to higher...

We will review how to do homotopy theory with model categories. As motivation for infinity-categories, we will discuss the benefits and drawbacks of working with model categories.

Many viruses evolve fast enough to accumulate significant genetic diversity over the course of an outbreak, allowing us to build trees that represent the evolutionary history of virus lineages. Phylodynamic models allow us to infer the...

I am going to discuss various results on moments of symmetric square L-functions and some of their applications. I will mainly focus on a recent result of R. Khan and M. Young and our improvement of it. Khan and Young proved a mean Lindelöf estimate...

For every finite group H and every finite H-module A, we determine the subgroup of negligible classes in H^2(H,A), in the sense of Serre, over fields with enough roots of unity. As a consequence, we show that for every odd prime p and every field F...

The field of DNA Topology includes the study of DNA geometry (supercoiling) and topology (knots and links) and their effects on DNA in vitro and in vivo. Statistical mechanics-based polygonal models of DNA have proved useful for addressing many...

The spectral properties of matrices with prescribed patterns have received significant attention in recent research. This talk examines symmetric matrices that share the off-diagonal zero-nonzero pattern with the adjacency matrix of a given graph...

There are numerous contexts where a discrete system moves according to local, reversible moves. The configuration space, which contains all possible states of the system, is often a CAT(0) cube complex. When this is the case, we can use techniques...

Introduced by Tate in 1957, a Koszul-Tate resolution allows one to replace any algebra with a free differential graded algebra. This can be used to compute important invariants of the original algebra such as BRST cohomology or cotangent cohomology...