Video Lectures

Much progress has been made over the past decade in the study of Muslim Ethiopia, and with the ongoing work of digitizing, cataloguing and analyzing the local Muslim manuscript tradition, scholars are in a better position than ever before to assess...

A vast array of physical phenomena, ranging from the propagation of waves to the location of quantum particles, is dictated by the behavior of Laplace eigenfunctions. Because of this, it is crucial to understand how various measures of eigenfunction...

This is joint work with Clément Dupont. Motivated by double-copy  (Kawai-Lewellen-Tye) formulae relating open and closed superstring amplitudes at tree-level, I will explain a general double-copy formula for period integrals on algebraic varieties...

The h-principle for the simplification of caustics (i.e. Lagrangian tangencies) reduces a geometric problem to a homotopical problem. In this talk I will explain the solution to this homotopical problem in the case of spheres. More precisely, I will...

I will discuss recent work with Harald Helfgott in which we establish roughly speaking that the graph connecting nn to n±pn±p with pp a prime dividing nn is almost "locally Ramanujan". As a result we obtain improvements of results of Tao and Tao...

The talk introduces the Kazhdan-Lusztig equivalence between the Kazhdan-Lusztig category of representations of affine algebra and category of modules over the quantum group.

I will report on a joint work in progress with K. Coulembier and V. Ostrik. We show that a symmetric tensor category in characteristic p>0 admits a fiber functor to the Verlinde category (semisimplification of Rep(Z/p)) if and only if it has...

Dr. Monica Vazirani is a professor at UC Davis.  She received her PhD from UC Berkeley in 1999, after which she had an NSF postdoc she spent at UC San Diego and UC Berkeley, as well as postdoctoral positions at MSRI and Caltech.  Dr. Vazirani's...

Algorithms make predictions about people constantly.  The spread of such prediction systems has raised concerns that algorithms may exhibit unfair discrimination, especially against individuals from minority groups.  While it's easy to speculate on...

I will discuss joint work with Olga Plamenevskaya studying symplectic fillings of links of certain complex surface singularities, and comparing symplectic fillings with complex smoothings. We develop characterizations of the symplectic fillings...