Video Lectures

https://www.ias.edu/math/wtdl

https://www.ias.edu/math/wtdl

Several lines of evidence, both theoretical and observational, indicate that additional planets in the outer solar system remain to be discovered. Most recently, attention has been focused on 'Planet Nine',a few Earth mass planet with a moderate...

https://www.ias.edu/math/wtdl

In this second lecture in my series on asymptotic spectra we will focus on one application: the matrix multiplication problem. We will use the asymptotic spectrum of tensors to prove that a very general method (that includes the methods used to...

When absorbing boundary conditions are used to evaporate a black hole in AdS/CFT, we show that there is a phase transition in the location of the quantum Ryu-Takayanagi surface, at precisely the Page time. The new RT surface lies slightly inside the...

In the optimal transport problem, it is well-known that the geometry of the target domain plays a crucial role in the regularity of the optimal transport. In the quadratic cost case, for instance, Caffarelli showed that having a convex target domain...

I'll show a graphical user interface I wrote which explores the problem of inscribing rectangles in Jordan loops. The motivation behind this is the notorious Square Peg Conjecture of Toeplitz, from 1911.

I did not manage to solve this problem, but I...

A fundamental task in (unsupervised) analysis of data is to detect and estimate interesting "structure" hidden in it. In low dimensions, this task has been explored for over 100 years with dozens of developed methods. In this talk I'll focus on...

The choiceless computation model of Blass, Gurevich and Shelah (1999, 2002) is an algorithmic framework for computing isomorphism-invariant properties of unordered structures. Machines in this model have the power of parallel execution, but lack...