My research is in IHS(Hyperkähler) manifolds. What I have been looking at recently include Rozansky-Witten invariants, Huybrechts-Riemann-Roch polynomials, Arbarello-Saccà-Ferretti system and smooth quotients of Abelian surfaces by finite groups.
I passed my qualifying exams in Algebra(83/100), Analysis(68/80), and Geometry-Topology(52/80).
Thesis
Master’s thesis written at NYU under the supervision of Prof Yuri Tschinkel based on his paper with Maxim Kontsevich and Vasily Pestun: Equivariant Birational Types
Course Projects
MATH 751(Introduction to Partial Differential Equations) under Prof Jeremy Marzuola: The Weinstein argument and the Darboux-Weinstein lemma
MATH 773(Lie Groups) under Prof Ivan Cherednik: Indefinite orthogonal groups, Weyl Formula via Orthogonality
MATH 782(Differential Geometry) under Prof Yaiza Canzani: Kähler manifolds