I am currently a Peng Tsu Ann Assistant Professor at the Department of Mathematics, National University of Singapore. I obtained my Ph.D. at the Department of Mathematics at Johns Hopkins University (August 2018 - February 2023). My advisor was Professor Chenyang Xu and my co-advisor was Professor Jingjun Han. I received my B.Sc. in Mathematics from the University of Science and Technology of China (USTC) in 2018. You can find my CV here.
Biography
Research Interests
I am interested in several areas of algebraic geometry, including birational geometry, algebraic dynamics, and minimal model program.
Publications & Preprints
- Essential dimensions of polarized endomorphisms of abelian varieties (joint with Keiji Oguiso and De-Qi Zhang). Preprint. [arXiv]
- Morphisms from a very general hypersurface (joint with Yongnam Lee and De-Qi Zhang). Pure Appl. Math. Q. (special issue in honor of James McKernan's 60th birthday).
- Jordan property for automorphism groups of compact varieties (joint with Sheng Meng and De-Qi Zhang). EM Surv. Math. Sci. (to appear).
- ACC for minimal log discrepancies of terminal threefolds (joint with Jingjun Han and Jihao Liu). Adv. in Math., 480 (2025), Part A.
- On boundedness of divisors computing minimal log discrepancies for surfaces (joint with Jingjun Han). J. Inst. Math. Jussieu, 22(6) (2023), 2907-2930.
- Shokurov's conjecture on conic bundles with canonical singularities (joint with Jingjun Han and Chen Jiang). Forum Math. Sigma, 10, E38.
- Global ACC for foliated threefolds (joint with Jihao Liu and Fanjun Meng). Trans. Amer. Math. Soc., 376 (2023), 8939-8972.
- A simple proof of ACC for MLD's for surfaces (joint with Jingjun Han). Acta Math. Sin. (Engl. Ser.), 40 (2024), 425-434.
- Second largest accumulation point of minimal log discrepancies in dimension 3 (joint with Jihao Liu). Preprint, to appear in J. Pure. Appl. Algebra. [arXiv]
Invited Talks
- Essential dimensions of polarized endomorphisms of abelian varieties, Purdue Algebraic Geometry Seminar, January 21, 2026.
- Essential dimensions of polarized endomorphisms of abelian varieties, Shanghai Center for Mathematical Sciences, January 8, 2026.
- Essential dimensions of polarized endomorphisms of abelian varieties, Algebraic Geometry Seminar ar USTC, December 25, 2025.
- Essential dimensions of polarized endomorphisms of abelian varieties, Algebraic Geometry in East Asia, November 13, 2025.
- Boundedness of divisors computing minimal log discrepancies and ACC conjecture for MLDs, Algebraic Geometry in East Asia, November 9, 2023.
- Shokurov's conjecture on conic bundles with canonical singularities, Algebraic Geometry seminar at Johns Hopkins University, October 11, 2022.
- ACC conjecture for minimal log discrepancies and its applications in birational geometry, Algebraic Geometry seminar at Northwestern University, October 5, 2022.
- Second largest accumulation point of minimal log discrepancies of threefolds, Short talk at MPS Conference on Higher Dimensional Geometry, August 22-26, 2022.
- Shokurov's conjecture on conic bundles with canonical singularities, USTC NTAG 1-st, April 13, 2021.
- Shokurov's conjecture on conic bundles with canonical singularities, Morningside Center of Mathematics, January 13, 2021.
- On boundedness of divisors computing minimal log discrepancies for surfaces, Short talk at Simons conference-Rationality, July 30, 2020.
- On boundedness of divisors computing minimal log discrepancies for surfaces, Algebraic Geometry Seminar (Online), The University of Tokyo, July 26, 2020.
Lectures and Seminar Talks
- Negative curves on $\mathbf{P}^2$ blowing up some points, National University of Singapore Geometry and Topology Seminar.
- Four lectures on the resolution of singularities, Reading Workshop: Boundedness and Resolution at SCMS Fudan, 2021 summer.
- Logarithmic base change theorem and smooth descent of positivity of log canonical divisor, Princeton preprint seminar.
Visitings
- Department of Mathematics at East China Normal University, visiting scholar, Nov 2023--Dec 2023
- Department of Mathematics at Princeton University, visiting scholar, Jan 2022--Feb 2023
- SCMS at Fudan University, visiting scholar, July 2021--August 2021
- BICMR at Peking University, visiting scholar, October 2020--July 2021
- Chinese Academy of Sciences, visiting student, October 2017--May 2018
- University of California, Los Angeles, visiting student, July 2017--October 2017
Teaching Experience
National University of Singapore
- 2025 Spring: Instructor, Algebra I MA2202
- 2025 Spring: Instructor, Algebraic Geometry of Curves and Surfaces MA4273
- 2024 Spring & Fall: Instructor, Multivariable Calculus MA2104
- 2023 Fall: Instructor, Algebraic Geometry MA5208 (Graduate Course)
Johns Hopkins University
- 2022 Summer: Teaching assistant, Calculus III
- 2020 Fall - 2021 Fall: Teaching assistant, Linear Algebra
- 2020 Spring: Teaching assistant, Calculus II
- 2019 Fall: Teaching assistant, Linear Algebra
University of Science and Technology of China
- 2017 Fall: Teaching assistant, Functional Analysis