Past Events

Abstract: Take the unit interval [0,1] and a number, b, between 0 and 1. At each step, split every interval of maximal length into two pieces in proportion b: (1-b). This recursive scheme is known as the Kakutani splitting procedure and in 1976...

In this talk, I will discuss the category of twisted sheaves on a scheme $X$. Let $\mathcal{M}$ be a quasi-coherent sheaf on $X$, and $\alpha$ in $\mathrm{Br}(X)$. We show that the functor $ - \otimes_{\mathcal{O}_X} \mathcal{M} : \operatorname{QCoh}...

In this talk we will briefly review the modular method, the strategy used by Wiles to prove Fermat’s Last Theorem. We will then explain how hyperelliptic curves have emerged as an important tool in recent years to approach generalized Fermat...

A central tool in additive combinatorics is the polynomial method, a family of powerful techniques for proving results about combinatorial objects by encoding them in algebraic terms. In this talk, we give a brief overview of some iconic modern...

Given a Jordan curve in the plane, we can associate a circle homeomorphism (conformal welding) via the conformal welding correspondence. These homeomorphisms arise naturally in Teichmuller theory, Mathematical physics and dynamics. In this talk, we...

Consider a point process in Euclidean space obtained by perturbing the integer lattice with IID Gaussians. Our goal is to match the perturbed points with the points of the lattice in an invariant way and such that the typical matching distance is as...

Sickle cell pain presents in acute episodes in pediatric patients, as opposed to the chronic pain observed in adults. The episodic nature of pain events in pediatric patients necessitates a distinct approach from what has been used to mathematically...

The game of Cops and Robber played on graphs is a turn-based game between a set of $k \geqslant 1$ cops and a single robber. Cops and robber alike sit on the vertices of the graph with the cops first selecting their starting vertices. At the...

I will report on recent progress in the study of a quasilinear equation involving the n-Laplacian and an exponential nonlinearity in R^n . In particular quantization issues for blow-up masses in the non-compact situation will be discussed and their...

Atiyah and Rees proved that the Chern classes and a mod 2 invariant, named the alpha invariant, classifies all rank 2 topological vector bundles on P3. They also showed that a construction by Horrocks provides algebraic representatives for all...