Faculty > Professors > LI Zhan

LI Zhan

Associate Professor  

http://faculty.sustech.edu.cn/lizhan/en/

  • Brief Biography
  • Research
  • Teaching
  • Published Works

Research Area

Algebraic Geometry, especially Birational Geometry


Employment

2024 - Now  Associate Professor, SUSTech

2018 - 2024  Assistant Professor, SUSTech

2015 - 2018  Assistant Professor (non-tenure track), BICMR.

2014 - 2015  Visiting Lecturer, Johns Hopkins University.

 

Education

2009 - 2014 Ph.D. in Mathematics, Rutgers University-New Brunswick.

2005 - 2009 B.S. in Mathematics, Tianjin University.

Research Area

Algebraic Geometry, especially Birational Geometry.


Website for Southeastern Algebraic Geometry Symposium

https://seag-symposium.github.io/


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.


当未来主义者来到一次文学晚会上,开始猛烈抨击已经过时的巴尔蒙特时,康斯坦丁·德米特里耶维奇仰起头,朗诵起自己的一首旧诗:

轻些,再轻些,为古老的偶像褪去衣裳吧……

巨大的风暴正在逼近,而这个迟到的吟游诗人,却天真地向迎面而来的第一阵风祈求:愿它只是一缕和风。

--爱伦堡《人·岁月·生活》


Publications and Preprints


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

Journal of Algebraic Geometry, Volume 36, 1-50, (2027)


• (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)


• (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.

arXiv:2609.09976


• (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


• (with Xingying Li) Log canonical models of a fixed variety with varying boundaries.
arXiv:2609.03305