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