Previous Conferences & Workshops

I will illustrate a recent result obtained in collaboration with L. Spolaor and B. Velichkov concerning the regularity of the free boundaries in the two phase Bernoulli problems. The new main point is the analysis of the free boundary close to...

We will discuss a recent result with Tristan Buckmaster (Princeton) and Steve Shkoller (UC Davis) which establishes the finite-time shock formation for the 3d isentropic Euler equations with vorticity. We prove that for an open set of Sobolev-class...

We present some work in progress, on moduli spaces of Drinfeld shtukas. These spaces are the function field analogous to Shimura varieties. In fact they are more versatile; there are r-legged versions for any r. Tate's conjecture predicts some...

We recently proposed the "Lottery Ticket Hypothesis," which conjectures that the dense neural networks we typically train have much smaller subnetworks capable of training in isolation to the same accuracy starting from the original initialization...

This is a shameless repeat of a Math Conversations I gave about four years ago, and maybe four years before that as well, explaining 2-adic shift registers.

While there are convergence guarantees for temporal difference (TD) learning when using linear function approximators, the situation for nonlinear models is far less understood, and divergent examples are known. We take a first step towards...

Many of the central problems in computational complexity revolve around proving lower bounds on the amount of resources used in various computational models. In this talk we will continue our survey of the connections between three central models...

Given a planar domain with sufficiently regular boundary, one can study periodic orbits of the associated billiard problem. Periodic orbits have a rich and quite intricate structure and it is natural to ask how much information about the domain is...

I will explain a direct way for defining the Floer homotopy groups of a (framed) manifold flow category in the sense of Cohen Jones and Segal, which does not require any sophisticated tools from homotopy theory (in particular, the notion of a...