Welcome to my homepage. 

About Me

I am an assistant professor at Yau Mathematical Sciences Center of Tsinghua University. 

I was a postdoc at the Einstein Institute of Mathematics in the Hebrew University of Jerusalem during 2018-2021, under the supervision of Michael Temkin and Ilya Tyomkin. 

I graduated as a Ph.D of mathematics from University of California, Davis in 2018. My advisor was Brian Osserman.  Here is a copy of my Phd thesis. 

Research Keywords

Algebraic geometry: algebraic curves, linear series; degeneration techniques, tropical approaches.  

Preprints

1. The irreducibility of Hurwitz spaces and Severi varieties on toric surfaces, with Karl Christ and Ilya Tyomkin.

2. Balancing properties of tropical moduli maps, with Karl Christ and Ilya Tyomkin.

Publications

1. Degenerations of Grassmannians via lattice configurations II,  with Naizhen Zhang.

Mathematische Annalen, 391 (2025) 965-1008

2. Positivity of tropical multidegrees.  

Selecta Mathematica, 30 (2024), no. 3, Paper No. 52, 14pp

3. On the Severi problem in arbitrary characteristic, with Karl Christ and Ilya Tyomkin.

Publications mathématiques de l'IHÉS 137 (2023), no. 1, 1-45

4. Degenerations of Grassmannians via lattice configurations, with Naizhen Zhang.  

International Mathematics Research Notices 2023 (2023), no. 1, 298-349.

5. Degeneration of curves on some polarized toric surfaces, with Karl Christ and Ilya Tyomkin.

Journal für die reine und angewandte Mathematik (Crelle's Journal) 2022 (2022), no. 787, 197-240

6. Brill-Noether Generality of Binary Curves. 

Canadian Mathematical Bulletin 64  (2021), no. 4, 787-807.

7. Secant planes of a general curve via degenerations, with Ethan Cotterill and Naizhen Zhang. 

Geometriae Dedicata 211 (2021), 165-201. 

8. Smoothing of limit linear series on curves and metrized complexes of pseudocompact type. 

Canadian Journal of Mathematics 71 (2019), no. 3, 629-658.

9. A Generalization of Lifting Non-proper Tropical Intersections. 

Journal of Pure and Applied Algebra 223 (2019), no. 2, 794-817. 

10. Lifting divisors with imposed ramifications on a generic chain of loops. 

Proceedings of the American Mathematical Society 146 (2018), no. 11, 4591-4604.

Miscellnaneous

• Moduli Spaces and Related Topics.  A seminar I co-organized with Chenglong Yu,  Dingxin Zhang, Zhiwei Zheng and Jie Zhou during 2023-2025, supported by the the National Key R&D Program of China 2022YFA1007100. 

• A tropical approach to the Severi problem.  Slides of an online talk at Latin American Geometria Algebraica Real y TrOpical Seminar, 2020

• On the Severi problem with point constraints. Slides of an online talk at Seminar in Real & Complex geometry(online) (Tel-Aviv University), 2020

• Lifting special divisors on a generic chain of loops. Poster at Texas Algebraic Geometry Symposium (Texas A&M University), 2018

• Lifting non-proper tropical intersections. Poster at Algebraic Geometry Northeastern Series (Northeastern University), 2017