My research is in Mirror Symmetry. Currently I am looking at generalised Kummer varieties and stringy E-polynomials.
I passed my qualifying exams in Algebra(83/100), Analysis(68/80), and Geometry-Topology(52/80).
MATH 751(Introduction to Partial Differential Equations) under Prof Jeremy Marzuola: The Weinstein argument and the Darboux-Weinstein lemma
MATH 782(Differential Geometry) under Prof Yaiza Canzani: Kähler manifolds