Research

Preprints/In Preparation:

The Geometry and Arithmetic of Rigid Banana Nano-Manifolds, with Jim Bryan (In preparation)
Siegel-Jacobi Forms and the Gromov-Witten Theory of Double Elliptic Fibrations, with Aaron Pixton (in preparation)

Published/Accepted:

Counting Invariant Curves: A Theory of Gopakumar-Vafa Invariants for Calabi-Yau Threefolds with an Involution, with Jim Bryan (Algebraic Geometry 11(2) (2024) 256-289)
Lectures on the Calabi-Yau Landscape, with Jiakang Bao, Yang-Hui He, and Edward Hirst (to appear in Fields Monograph Series on Alberta-Saskatchewan Lectures on Algebraic Geometry in High-Energy Physics)
G-invariant Hilbert Schemes on Abelian Surfaces and Enumerative Geometry of the Orbifold Kummer Surface, (Research in the Mathematical Sciences 9, 1 (2022) 1-21)
(An Appendix of) The Donaldson-Thomas Partition Function of the Banana Manifold, with Jim Bryan (Algebraic Geometry, 8 (2) (2021) 133-170)
The Derived Category of Coherent Sheaves and B-model Topological String Theory, (Superschool on Derived Categories and D-branes, Springer Proceedings in Mathematics and Statistics, Volume 240, 2018, p. 185-208)