Biography

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.

Research Interests

I am interested in several areas of algebraic geometry, including birational geometry, algebraic dynamics, and minimal model program.

Publications & Preprints

• Log Calabi–Yau structure for endomorphisms on Pⁿ (joint with Sheng Meng). Preprint. [arXiv]
• Sharp bounds for totally invariant cycles of projective varieties (joint with Wentao Chang). Preprint. [arXiv]
• Essential dimensions of polarized endomorphisms of certain algebraic surfaces (joint with Qianli Fang and De-Qi Zhang). Preprint. [arXiv]
• Galois self-covers of projective spaces and essential dimensions (joint with De-Qi Zhang). Preprint. [arXiv]
• 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(12) (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]

AI4Math

AI-generated mathematical research notes communicated by Yujie Luo.

• A Cyclic Polarized Isogeny on a Simple Abelian Threefold, GPT 5.5 Pro, Communicated by Yujie Luo. 5 pages. [PDF]
• Picard Number One Fano Manifolds Admitting Galois Self-Covers, GPT 5.5/5.6 Pro plus Danus, Communicated by Yujie Luo. 7 pages. [PDF]

Invited Talks

• Essential dimensions of polarized endomorphisms II, Algebraic Geometry and Topology Seminar, Shanghai Jiao Tong University, July 4, 2026.
• Essential dimensions of polarized endomorphisms I, Algebraic Geometry and Topology Seminar, Shanghai Jiao Tong University, July 3, 2026.
• Essential dimensions of polarized endomorphisms of abelian varieties, Topology, Geometry and Dynamics Seminar, National University of Singapore, June 30, 2026.
• 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

Miscellaneous

• Star map for Arxiv
• Google 404
• Gravity
• Trading Simulator
• PSpixel
• ModularViz
• Myxomycetes
• Raiden
• Westland Survival Wiki