PhD, University of Michigan
Low-dimensional topology, contact and symplectic geometry, gauge theory.
My research interests are in the geometry and topology of low-dimensional manifolds. Invariants of low-dimensional manifolds from gauge theory and symplectic geometry are at the center of my research.
Lectures on the equivalence of Heegaard Floer and Seiberg-Witten Floer homologies, Proceedings of the Gokova Geometry-Topology Conference 2012, 1-42, Int. Press, Somerville, MA, 2013. (Download pdf)