Research

Here is my research statement (Last updated: Sept. 2024): Research Statement 

Papers

1. WKB asymptotics of Stokes matrices, spectral curves and rhombus inequalities, joint work with Anton Alekseev, Andrew Neitzke, and   Xiaomeng Xu, Commun. Math. Phys. 405, 269 (2024), 68 pages.

2. Mirror symmetric Gamma conjecture for del Pezzo surfaces, joint work with Bohan Fang and Junxiao Wang, 26 pages.

3. Mirror symmetry for log Calabi-Yau surfaces II, joint work with Jonathan Lai, to appear in Compositio Mathematica, 69 pages. 

4. Weyl groups and cluster structures of families of log Calabi-Yau surfaces, International Mathematics Research Notices, Vol. 2023, No. 16, 43 pages. 

5. Cluster structures and subfans in scattering diagrams, a contribution to the Special Issue on Cluster Algebras of SIGMA, 37 pages.

Notes

In the Fall of 2018, my academic siblings and I had "formal" meetings on Berkovich geometry. Here are some  notes accumulated through our meetings:

• Analytification of the projective line.

• Examples of Bruhat-Tits buildings.

• Non-Archimedean uniformization of curves.

• Affinoid spaces.

Here is a series of lecture notes I prepared for one of the summer mini-courses at UT Austin in 2017:

Summer Mini Course - Period Mappings and Period Domains.

The note for a talk I gave on Deligne's decomposition theorem in David Ben-Zvi's Geometric Satake seminar in the fall of 2017: Decomposition Theorem.