Research Area

Algebraic Geometry, especially Birational Geometry.

Southern University of Science and Technology

Undergraduate courses：

• Functional analysis：2021 Spring

• Real analysis（Honors）：2022 Fall, 2023 Fall

• Real analysis： 2022 Fall，2021 Fall，2020 Spring, 2023 Fall

• Abstract algebra (Honors)：2019 Spring, 2019 Fall, 2020 Fall

• Linear algebra IA：2018 Fall，2019 Fall

• Differential geometry：2018 Spring

Graduate courses：

• Algebraic curves : 2023 Spring, 2024 Fall

     • Topics in differential geometry and topology - Riemann surfaces：2022 Spring

     • Several complex variables and complex geometry：2021 Fall

     • Algebraic geometry：2020 Spring

Peking University

• Lecturer, Calculus C (for medical school), Fall 2015.

Johns Hopkins University

• Lecturer, Math 106 Calculus I (for biological and social science), Fall 2014, Spring 2015.

Rutgers University

• Recitation lecturer, Math 135 Calculus I (for biological science, business, economics and pharmacy), Spring 2014, Fall 2013, Spring 2011, Fall 2010.

• Recitation lecturer, Math 136 Calculus II (for biological science, business, economics and pharmacy), Spring 2012.

• Workshop lecturer, Math 151 Calculus I (for mathematical science, physical sciences, and engineering), Spring 2013, Fall 2011.

• Workshop lecturer, Math 152 Calculus II (for mathematical science, physical sciences, and engineering), Fall 2012.

"...... For he does his work alone and if he is a good enough writer he must face eternity, or the lack of it, each day."  --  Ernest Hemingway

Publications and Preprints

• (with Zhiwei Wang) Invariance of plurigenera for generalized polarized pairs with abundant nef parts.

Complex Analysis and its Synergies 12(2) (2026).

• (with Hang Zhao) On the relative Morrison-Kawamata cone conjecture.

Proceedings of the London Mathematical Society 131(5), e70099 (2025)

• Boundedness of the base varieties of certain fibrations.

Journal of the London Mathematical Society 109(2), e12871 (2024)

• A variant of the effective adjunction conjecture with applications.

Journal of Pure and Applied Algebra 228(6), 107626 (2024)

• (with Jingjun Han) Weak Zariski decompositions and log terminal models for generalized polarized pairs.

Mathematische Zeitschrift 302, 707–741 (2022)

• On finiteness of log canonical models.

International Journal of Mathematics 33(2) (2022)

• (with Jingjun Han and Lu Qi) ACC for log canonical threshold polytopes.

American Journal of Mathematics 143(3), 681–714 (2021)

• Fujita’s conjecture on iterated accumulation points of pseudo-effective thresholds.

Selecta Mathematica (N.S.) 27(9) (2021)

• (with Jingjun Han) On accumulation points of pseudo-effective thresholds.

Manuscripta Mathematica 165, 537–558 (2021)

• On derived equivalence of general Clifford double mirrors.

Communications in Number Theory and Physics 14(3), 585–607 (2020)

• (with Jingjun Han) On Fujita’s conjecture for pseudo-effective thresholds.

Mathematical Research Letters 27(2), 377–396 (2020)

• (with Lev Borisov) On Clifford double mirrors of toric complete intersections.

Advances in Mathematics 328, 300–355 (2018)

• Counterexamples of Lefschetz hyperplane type results for movable cones.

Complex Manifolds 3(1), 207–210 (2016)

• On the birationality of complete intersections associated to nef-partitions.

Advances in Mathematics 299, 71–107 (2016)

• (with Lev Borisov) On complete intersections with trivial canonical class.

Advances in Mathematics 268, 339–349 (2015)

• On the relative Morrison-Kawamata cone conjecture (II).

arXiv:2309.04673

• (with Tongji Gao and Lei Zhang) Varieties with nef anticanonical divisors and Albanese morphisms of relative dimension one in positive characteristic.

arXiv:2510.17161

• (with Jinsong Xu) Automorphism groups and Homogeneous fibrations on projective varieties with nef anticanonical divisors.

(2024)

• (with Sung Rak Choi and Chuyu Zhou) Variation of cones of divisors in a family of varieties — Fano type case.

arXiv:2504.04109

• (with Sung Rak Choi, Xingying Li and Chuyu Zhou) On the Morrison-Kawamata dream space and its applications.

arXiv:2512.01516