2018 Hellman Fellow
Assistant Professor, Mathematics
UC San Diego
Project Title: New Mathematical Methods for the Analysis of Complex Systems
Project Description: Random Matrix Theory is one of the most active research topics in contemporary probability theory. In addition to its intrinsic mathematical appeal, interest in RMT has been spurred by the scientific hypothesis that large random matrices yield models for complex systems comprised of many highly correlated components. Such systems run the gamut from pure to applied, ranging from zeros of number-theoretic functions to arrival times of New York City subway trains. This project develops new methods for the analysis of random matrices whose distribution is immune to the action of a large group of symmetries, thus advancing insight into the complex systems they model.