Past Events

A classical problem in combinatorial geometry, posed by Erdős in 1946, asks to determine the maximum number of unit segments in a set of n points in the plane. Since then a great variety of extremal problems in finite planar point sets have been...

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...

It is conjectured that there are infinitely many rational curves on every projective K3 surface. A large part of this conjecture was proved by Jun Li and Christian Liedtke, based on the characteristic p reduction method proposed by Bogomolov-Hassett...

The theory of matroids originated in linear algebra and graph theory, and has deep connections with many other areas, including field theory, matching theory, submodular optimization, Lie combinatorics, and total positivity. Matroids capture the...