I am a fifth year graduate student in the Department of Mathematics at the University of Virginia. My advisor is Weiqiang Wang . My research interests are in representation theory, categorification, and algebraic combinatorics. Specifically, I am studying the traces (or cocenters) and representations of Hecke-Clifford algebras in classical types (which are closely linked to the spin representation theory of classical Weyl groups) and of the twisted Heisenberg category. My recent work has focused on connections between these traces and symmetric functions.
I am also interested in computation and its application to both my research and other interesting problems. Last year I completed a Kaggle competition with Donald Lee-Brown, in which we attempted to use machine learning to identify species of fish from images taken on the deck of fishing boats in order to combat overfishing and bycatch. You can take a look at the project here.
Here is my CV.
Email: mar3nf (at) virginia (dot) edu
Office: 401 Kerchof Hall