Currently my research interests are in: Multivariable Complex Analysis, Functional Analysis, dynamical systems (specifically stability sets over infinite composition), and mathematical physics. I also have interests in certain subsets of Combinatorics, fueled by my interest in a variety of counting puzzles and games like this one.

 

My dissertation was on adaptations to well known results in the complex disc, to the polydisc. Specifically I extended the ideas of the Denjoy-Wolff theorem from the complex disk to the polydisk, and recorded counterexamples or proofs for several geometric properties of the resulting “Denjoy Wolff Sets”. You can access my dissertation here (link coming when able)