My primary field is mathematical physics, and its applications to other fields. I also work in the emerging field of high dimensional expansion.
In mathematical physics I am interested in open Gromov-Witten (GW) and Fan-Jarvis-Ruan-Witten (FJRW) theories, positive geometries and the Amplituhedron, statistical mechanics and quantum computing. I have used methods and insights from these disciplines for applications in statistics, combinatorics, geometry and computer science.
Recently I became interested in conformal field theories in dimension 2 and more, and in particular in conformal bootstrap. I am currently studying this topic extensively.