Previous Conferences & Workshops

I will review some of the recent techniques we've used in our study of natural algorithms. These include Dirichlet series for matrix products, mean-field approximations in opinion dynamics, graph sequence grammars, and tools for renormalizing...

Differential privacy disentangles learning about a dataset as a whole from learning about an individual data contributor. Just now entering practice on a global scale, the...

Agenda: http://www.ias.edu/math/files/wam/whmsagenda_7.pdf

This is a report on a work in progress in collaboration with Dinakar Ramakrishnan. A celebrated result of Mazur states that open modular curves of large enough level do not have rational points. We study analogous questions for the Picard modular...

Agenda: http://www.ias.edu/math/files/wam/whmsagenda_7.pdf

I will discuss some results and open questions related to transport properties of 1D quasiperiodic operators with absolutely continuous spectra, and their relations to integrable many-body systems. Most of the results will be based on https://arxiv...

It is well known that representations of open compact subgroups (called types) play a fundamental role in studying representations of $p$-adic groups. We give an overview of the theory (after Bernstein, Moy-Prasad, Bushnell-Kutzko) in connection...

Agenda: http://www.ias.edu/math/files/wam/whmsagenda_7.pdf

In the matrix completion problem, we have a matrix $M$ where we are only given a small number of its entries and our goal is to fill in the rest of the entries. While this problem is impossible to solve for general matrices, it can be solved if $M$...