Alexei Oblomkov

Research Interests

Representation Theory, Algebraic Geometry and Mathematical Physics

I am interested in geometric aspects of Representation Theory. I am also interested in the geometry of moduli spaces that appear in Mathematical Physics: moduli space of sheaves (Donaldson-Thomas and Pandharipande-Thomas theories), moduli spaces of stable maps (Gromov-Witten theory), Nakajima quiver varieties, Springer fibers, Hilbert schemes of points on a singular curve. Recently, I was studying various connections between the enumerative invariants of the spaces from the previous list and the topological invariants.