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