Alexei Oblomkov

Alexei Oblomkov is a Professor at the Department of Mathematics and Statistics, University of Massachusetts Amherst. His research focuses on geometric aspects of Representation Theory and Algebraic Geometry, particularly moduli spaces arising in Mathematical Physics.

Education:

• Ph.D., MIT (2005)

Research Interests:

• Moduli spaces 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 singular curves
• Connections between enumerative invariants and topological invariants

Publications Trends: His work bridges geometric representation theory with enumerative geometry, exploring quantum cohomology, knot invariants, and homology theories related to moduli spaces.

Contact:

• Email: oblomkov@math.umass.edu
• Office: LGRT 1235H