Past Events

Abstract: I will begin by introducing some of the most basic combinatorial objects - partitions. It turns out that their generating function is a prototypical example of a modular form. These are objects with infinite symmetry, in turn giving them...

A process Y is a factor of a process X if it can be written as Y=F(X) for some function F which commutes with translations. The factor is finitary if Y_0 is almost surely determined by some finite portion of the input X. Given a process Y, the...

We discuss some recent results on elliptic and parabolic equations (local and non-local, in divergence form and non-divergence form) in Sobolev spaces, especially when the coefficients are very rough. We also discuss a few approaches for the unique...

Abstract: Often, interesting knotting vanishes when allowed one extra dimension, e.g. knotted circles in 3-space all become isotopic when included into 4-space. Hughes, Kim and I recently found a new counterexample to this principle: for g>1, there...

Estimating the COVID-19 infection fatality rate (IFR) has proven to be challenging, since data on deaths and data on the number of infections are subject to various biases. I will describe some joint work with Harlan Campbell and others on both...

The trace of a matrix does not seem like an operation that should be iterated, but if we step back and think of trace as an operation on endomorphisms (or almost endomorphisms) that is invariant under cyclic permutation this becomes more plausible. I...

In this talk, I will describe some progress towards the construction of the 3D Yang-Mills (YM) measure. In particular, I will introduce a state space of “distributional gauge orbits” which may possibly support the 3D YM measure. Then, I will describe...

The Maximum Entropy Principle (MaxEnt) is a powerful inference principle to determine the probability distribution that describes a system on the basis of the information available, usually in the form of averages of observables (random variables) of...

Paley graphs connect many branches of mathematics, notably combinatorics and number theory. Inspired by the Erdős-Ko-Rado (EKR) theorem for Paley graphs of square order (first proved by Blokhuis) and recent development of the study of EKR-type...