My research is on enumerative aspects of algebraic geometry, in particular Gromov-Witten theory.
We prove a finite generation conjecture of Yamaguchi-Yau for the three smooth Calabi-Yau threefold hypersurfaces in weighted projective space. Along the way, we give explicit formulae for their genus one invariants.
We develop the theory of Mixed-Spin-P fields for the three smooth Calabi-Yau threefold hypersurfaces in weighted projective space.