I'm a mathematician broadly interested in geometric and categorical structures coming from theoretical physics. Currently I work on symplectic geometry and mirror symmetry; in particular, I think about Fukaya-categorical structures associated to symplectic fibrations with singularities. Even more specifically, I think about:
- Fixed point Floer cohomology and closed-string mirror symmetry for nodal curves (with Yuan Yao and Ziwen Zhao), July 2023;
- Homological mirror symmetry for functors between Fukaya categories of very affine hypersurfaces (with Benjamin Gammage), J. Topol., 18: e70012, 2025.
- Mirror symmetry and Fukaya categories of singular hypersurfaces, Adv. Math., Volume 397, 2022.
Broad areas of interest include: symplectic geometry, algebraic geometry, contact geometry, as well as mathematical physics and mathematical logic. Various notes of mine can be found here, and notes from talks I have given here.
I completed my PhD at Harvard University in May 2023, working on homological mirror symmetry under Denis Auroux.
I wrote my Minor Thesis at Harvard on Perverse Sheaves and D-modules under the supervision of Dennis Gaitsgory.
Before coming to Harvard I completed a Master's thesis at the University of California, Berkeley on Global Monodromy for Fukaya-Seidel Categories, under the supervision of Denis Auroux; this can be found here. This is not intended to be a rigorous development of the subject.
In Spring 2020 I taught a tutorial on Classical Mechanics and Symplectic Geometry.