I was math Ph.D.student at The University of Texas at Austin under David Ben-Zvi from 2011-2016. My research was in algebraic topology, non-commutative geometry, and quantum field theory.
In the first paper, I describe a relative version of Koszul duality for operads and relate it to non-commutative geometry. In the second paper, I show that every k-linear Stable Infinity Category can be rectified to a DG Category.
The links above are notes to math talks I gave in Vancouver and Texas on Chern-Simons Theory and Koszul Duality.