I'm an algebraic geometer with broad geometric interests.
Lately I am studying microlocal sheaf theory, with a view towards its applications in contact geometry on the one hand and towards the moduli spaces which arise on the other.
In the past I've studied moduli of sheaves on singular plane curves, curve counting on surfaces, categorified knot invariants, rational Cherednik algebras, and equidistribution questions.
Classes this semester:
Math 113: Introduction to Algebra
Math 274: Topics in Algebra. The topic is the microlocal study of sheaf theory following Kashiwara-Schapira and more modern developments.