Video Lectures

This is the second talk in a three-part series presented together with Roei Tell.

The series is intended to survey the fast-paced recent developments in the study of derandomization. We will present:

A revised version of the classical...

I will discuss some recent work showing that a generic area-preserving diffeomorphism of a closed surface has an equidistributed sequence of periodic orbits. The proof uses several properties of spectral invariants from periodic Floer homology...

I will start by explaining the construction of a formal scheme starting with an integral affine manifold Q equipped with a decomposition into Delzant polytopes. This is a weaker and more elementary version of degenerations of abelian varieties...

Wiles’s proof of the modularity of (semistable) elliptic curves over the rationals and Fermat’s Last Theorem relied on his invention of a modularity lifting method. There were two strands to the method:

(i) A numerical criterion to for a map of...

We believe that supermassive black holes reside at the center of massive galaxies, where they can shine as an active galactic nucleus (AGN) when supplied with gas to accrete.  These black holes are believed to be important for regulating gas cooling...

How did orientalists read, learn languages, and produce dictionaries, editions, and other works? Annotated manuscripts in particular offer a glimpse into the orientalist’s study, showing the sources they used, their methods of deciphering texts and...

We present constraints on non-local primordial non-Gaussianity (NLPNG) from the Baryon Oscillation Spectroscopic Survey data. We first review how NLPNG arises in single-field inflationary models. We then review the Effective Field Theory of Large...

This is joint work with Samuel Edwards and Hee Oh. Let G be a connected semisimple real algebraic group, and Γ

In this talk, I will discuss joint work with Tristan Buckmaster, Nader Masmoudi, and Vlad Vicol in which we construct non-conservative solutions to the Euler equations which belong to the regularity class C0tH1/2−x. The motivation for such solutions...

The series is intended to survey the fast-paced recent developments in the study of derandomization. We will present:

A revised version of the classical hardness vs randomness framework, converting new types of uniform lower bounds into non...