### Contact:

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

xianghe[at]mail.tsinghua.edu.cn

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. 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

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

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

### Publications

Degenerations of Grassmannians via lattice configurations, with Naizhen Zhang.

*International Mathematics Research Notices* (accepted)

*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