Faculty > Professors > LI Zhan

LI Zhan

Assistant Professor  

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

  • Brief Biography
  • Research
  • Teaching
  • Published Works

Research Area

Algebraic Geometry, especially Birational Geometry


Employment

2018 - Now  Tenure-Track Assistant Professor, SUSTech

2015 - 2018  Assistant Professor, 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.

Southern University of Science and Technology

Undergraduate courses

• Functional analysis2021 Spring

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

• Real analysis: 2022 Fall2021 Fall2020 Spring2023 Fall

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

• Linear algebra IA2018 Fall2019 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


1. Boundedness of the base varieties of certain fibrations.

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


2. A variant of the effective adjunction conjecture with applications.

Journal of Pure and Applied Algebra, Volume 228, Issue 6, 107626, 2024.


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

Mathematische Zeitschrift, Volume 302, 707–741, 2022.


4. On finiteness of log canonical models.

International Journal of Mathematics, Volume 33, Number 02, 2022.


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

American Journal of Mathematics, Volume 143, Number 3, 681–714, 2021.


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

Selecta Mathematica - New Series, Volume 27, Number 9, 2021.


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

Manuscripta Mathematica, Volume 165, 537–558, 2021.


8. On derived equivalence of general Clifford double mirrors.

Communications in Number Theory and Physics, Volume 14, Number 3, 585–607, 2020.


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

Mathematical Research Letters, Volume 27, Number 2, 377–396, 2020.


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

Advances in Mathematics, Volume 328, 300–355, 2018.


11. Counterexamples of Lefschetz hyperplane type results for movable cones. 

Complex Manifolds, Volume 3, Issue 1, 207–210, 2016.


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

Advances in Mathematics, Volume 299, 71–107, 2016.


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

Advances in Mathematics, Volume 268, 339–349, 2015.


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

arXiv: 2206.13701.


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

arXiv: 2208.08073.


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

arXiv: 2309.04673


17. (with Tongji Gao and Lei Zhang) Irregular threefolds with ample anticanonical divisors in positive characteristic.


18. (with Jinsong Xu) Automorphism groups and homogeneous fibrations on algebraic varieties.