Video Lectures

Bernstein's theorem (also known as the Bernstein-Khovanskii-Kushnirenko theorem) gives a bound on the number of nonzero solutions of a polynomial system of equations in terms of the mixed volume of its Newton polytopes. In this talk, we will give...

This is a continuation of a series of talks I have given in recent years reporting on work with Jan Manschot, et. al.
There will be some repetition, and some updates and new results.   (See below for some relevant links.)
Manschot and I have...

This is a continuation of a series of talks I have given in recent years reporting on work with Jan Manschot, et. al.
There will be some repetition, and some updates and new results.   (See below for some relevant links.)
Manschot and I have...

Abstract: This is a continuation of a series of talks I have given in recent years reporting on work with Jan Manschot, et. al.
There will be some repetition, and some updates and new results.   (See below for some relevant links.)
Manschot and I...

In 2017 Lucio Galeati understood that a suitable scaling limit of certain hyperbolic PDEs with noise may lead to deterministic parabolic equations. Since then, in collaboration with Lucio and Dejun Luo, we have understood the phenomenon from several...

I revisit the basic statistical problem of estimating the mean of a real-valued distribution. I will introduce an estimator with the guarantee that "our estimator, on *any* distribution, is as accurate as the sample mean is for the Gaussian...

A classical construction in topology associates to a space X and prime p, a new "localized" space Xp whose homotopy and homology groups are obtained from those of X by inverting p. In this talk, I will discuss a symplectic analog of this...

The clustered nature of star formation leaves a long-term imprint on galaxies, stars, and planets. At young ages, stellar clustering subdivides galaxies into individual building blocks undergoing vigorous, feedback-driven life cycles that vary with...