### Contact:

Ning Zhai S06, Yau Mathematical Sciences Center, Tsinghua University, Beijing, China, 100084

xianghe[at]mail.tsinghua.edu.cn

Welcome to my homepage.

This semester we have a seminar on Moduli Spaces and Related Topics, please send me a email if you are interested in giving a talk.

### 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. Before that, I graduated as a Ph.D of mathematics from University of California, Davis in 2018. My advisor was Brian Osserman.

### Research Keywords

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

### Preprints

Degenerations of Grassmannians via lattice configurations II, with Naizhen Zhang

### Publications

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

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

Degenerations of Grassmannians via lattice configurations, with Naizhen Zhang.

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

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

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

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

Geometriae Dedicata 211 (2021), 165-201.

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

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

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

### Expository

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

On the Severi problem with point constraints. Slides 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