I like to play the game where you start with the input of a "physical duality" and wind up with the output of a nontrivial mathematical theorem, usually of the form "these two mathematical widgets that look different are secretly the same". In particular, I am interested in using dualities arising from "Theory X" (a.k.a. the 6d (2,0) SCFT) to motivate/understand/prove results in the geometric Langlands program (and variants/generalisations thereof).
- 2012-2018, Ph.D. student at the University of Texas at Austin. Advisors: David Ben-Zvi and Andy Neitzke
- Fourier Transforms and Physical Dualities, Geometry Topology and Dynamics Seminar, University of Illinois Chicago
- Two lectures on Hitchin's "The Self-Duality Equations on a Riemann Surface", Learning Seminar at Park City Mathematics Institute, Utah
- Langlands duality and self-duality for Hitchin systems, Geometry Seminar, University of Waterloo
- Langlands duality and self-duality for the moduli of Higgs bundles, Geometric Structures Lab, Fields Institute/University of Toronto