General Research Interests: Geometry and topology of spaces of various kinds (symplectic/algebraic/noncommutative/categorical etc)
Topics I have worked on:
Gromov-Witten theory
Mirror Symmetry, especially Givental-style mirror theorems and SYZ mirror symmetry
Birational Geometry, especially rational curves
Geometry of stacks, especially gerbes
Chen-Ruan Orbifold Cohomology
Lie Algebroids