Broadly, I’m interested in probability, stochastic calculus, optimization/control, and their applications to finance. Current directions include stochastic control with learning and mean-field games.
◘ C*-Algebras Generated by Weakly Quasi-Lattice Ordered Groups
Expository dissertation following Nica's framework; fills in omitted details and develops conditions for amenability via Toeplitz and universal C*-algebras.
◘ Khovanov Homology of Knots and Links
An expository write-up on categorification of the Jones polynomial and computations of Khovanov homology for simple knots.