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

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

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

Publications

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

International Mathematics Research Notices (accepted)

  1. Brill-Noether Generality of Binary Curves.

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

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

Geometriae Dedicata 211 (2021), 165-201.

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

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

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

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

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

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

Expository