Video Lectures

The field of unlikely Intersections presents a robust paradigm for problems in which several subjects intermingle: arithmetic, o-minimality, and hodge theory. The goal of this talk will be to introduce some of those connections. My aim is to...

A linear extension of P is a linear ordering compatible with the poset relations. Let p(x less than y) be the probability that x

precedes y in a uniformly random linear extension, and let δ(x,y)=min(p(x less than y),p(y less than x)) and δ(P) be the...

Drawing inspiration from AdS/CFT holography, I will discuss the idea that a static patch in de Sitter space admits a fundamental description based upon standard quantum mechanics. Taking a bottom-up perspective, I compute correlation functions of...

The commonly observed Type Ia supernovae likely occur when one star in a binary undergoes a sudden detonation triggered by the transfer of mass from a closely orbiting companion. Due to the short orbital period of 5-10 minutes of many explosion...

Symmetries play a crucial role in both quantum field theory and quantum many-body systems on the lattice. One key topological feature that a global symmetry can have is a "('t Hooft) anomaly". But how exactly should an anomaly be defined? In this...

I will describe a recent extension of the classical PAC (Probably Approximately Correct) learning framework [Vapnik and Chervonenkis, 1970s; Valiant, 1980s]. This extension makes it possible to model a wide range of common and practical data...

I will present a combination of three observational techniques—astrometry, radial velocity, and direct imaging—to discover, weigh, and characterize massive exoplanets and brown dwarfs.  Only a few exoplanets have both measured masses (from radial...

Black hole perturbation theory captures a few important effects in the dynamics of binary mergers, such as tidal deformations and the decay of ringdown modes. It also describes the physics of the photon ring. However, extracting qualitative results...