Research

I'm interested in the geometry and topology of symplectic manifolds. Research statement

Papers

Note that the documents here may differ slightly from their arXiv versions.

1. (with N.C. Leung) Twin Lagrangian fibrations in mirror symmetry. Journal of Symplectic Geometry, 17 (5) (2019), 1331-1387.

2. Disjoinable Lagrangian tori and semisimple symplectic cohomology. Algebraic & Geometric Topology 20 (2020) 2269-2335 .

3. Koszul duality via suspending Lefschetz fibrations. Journal of Topology, 12 (4) (2019), 1174-1245.

4. Exact Calabi-Yau categories and odd-dimensional Lagrangian spheres. Quantum Topology 15 (2024), 123-227. Video

5. Koszul duality and categorical dynamics. PhD thesis, 2020. 

6. Nonexistence of exact Lagrangian tori in affine conic bundles over Cn. Journal of Symplectic Geometry, 20(5) (2022), 1067-1105. Video

7. Aspherical Lagrangian submanifolds, Audin's conjecture and cyclic dilations, arXiv:2308.05086, submitted. Video

8. (with Sukjoo Lee and Cheuk Yu Mak) Hypertoric convolution algebras as Fukaya categories. I, in preparation. Video 

9. (with Sukjoo Lee, Siyang Liu and Cheuk Yu Mak) Fukaya categories of hyperplane arrangements, arXiv:2405.05856. To appear in Geometry & Topology. Slides

10. (with Johan Asplund) Persistence of unknottedness of clean Lagrangian intersections, arXiv:2501.09110, submitted. Video

11. The symplectic topology of contractible affine surfaces of log Kodaira dimension one, in preparation. Slides