I used to study mathematical physics with Anton Zeitlin. See our paper "Flat GL(1|1)-connections and fatgraphs" here. This paper was published to the Journal of Geometry of Physics, Volume 191.
I also previously worked with Pramod Achar to give an explicit description of global Schubert varieties for GL(n) in terms of lattices. See our paper "On global Schubert varieties for the general linear group" here.
My broad interests are in algebraic geometry, representation theory, and number theory. I also would like to explore homotopy theory and algebraic K-theory.
I have become particularly fond of perverse sheaves, thanks to Pramod. I wrote a lot about them on my blog.