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李展

副教授  

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

  • 简历
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  • 教学
  • 发表论著

研究领域

代数几何,特别是双有理代数几何

 

工作经历

2024 - 至今  副教授,南方科技大学

2018 - 2024 助理教授,南方科技大学

2015 - 2018 助理教授 (non-tenure track),北京国际数学研究中心

2014 - 2015 博士后,约翰霍普金斯大学


教育背景

2009 - 2014 博士,罗格斯大学-新布朗斯维克

2005 - 2009 学士,天津大学

研究领域

代数几何,特别是双有理代数几何。

南方科技大学

本科生:

• 泛函分析:2021

• 实变函数(荣誉课程):2022 秋, 2023 

• 实变函数: 2022 秋,2021 秋,2020 2023 

• 抽象代数 (荣誉课程)2019 , 2019 , 2020

• 线性代数 IA2018 秋,2019

• 微分几何:2018



研究生:

• 代数曲线:2023 春, 2024 秋

     • 微分几何与拓扑专题 - 黎曼面:2022 春

     • 多复变与复几何:2021 

     • 代数几何:2020 

 



北京大学

• 微积分 C (医学院), 2015 秋.



约翰霍普金斯大学

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


罗格斯大学

• 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