李展
助理教授
lizhan(at)sustech(dot)edu(dot)cn http://faculty.sustech.edu.cn/lizhan/
简历
科研
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
2018 至今 Tenure-Track助理教授,南方科技大学
2015 – 2018 助理教授,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
招生信息
招收博士/博士后,如果感兴趣,请发邮件询问详情(我对于招生比较慎重)。
研究领域
代数几何,特别是双有理代数几何。
南方科技大学
? 实变函数, 2020 春.
? 研究生代数几何,2020 春.
? 抽象代数 (荣誉课程), 2019 春, 2019 秋, 2020 秋.
? 线性代数 I A, 2018 秋,2019 秋.
? 微分几何, 2018 春.
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, economicsand 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.
论文及预印本
- (with Jingjun Han and Lu Qi) ACC for log canonical threshold polytopes,arXiv:1706.07628, to appear atAmerican Journal of Mathematics, (2021).
- Fujita’s conjecture on iterated accumulation points of pseudo-effective thresholds.arXiv: 1812.04262,Selecta MathematicaNew Series,volume27,9 (2021).
- (with Jingjun Han) On accumulation points of pseudo-effective thresholds, arXiv:1812.04260, Manuscripta Mathematica, 2020.
- On derived equivalence of general Clifford double mirrors, arXiv:1605.04530, Communications in Number Theory and Physics, Volume 14, Number 3. 2020.
- (with Jingjun Han) On Fujita's conjecture for pseudo-effective thresholds, arXiv:1705.08862, Mathematical Research Letters, Volume 27, Number 2, 377–396, 2020.
- (with Lev Borisov) On Clifford double mirrors of toric complete intersections, arXiv:1601.00809, Advances in Mathematics, 328 (2018), 300–355.
- Counterexamples of Lefschetz hyperplane type results for movable cones, arXiv:1601.05546, Complex Manifolds, Volume 3, Issue 1 (2016), 207–210.
- On the birationality of complete intersections associated to nef-partitions. arXiv:1310.2310, Advances in Mathematics, 299 (2016), 71–107.
- (with Lev Borisov) On complete intersections with trivial canonical class, arXiv:1404.7490, Advances in Mathematics, 268 (2015), 339–349.
- (with Jingjun Han) Weak Zariski decompositions and log terminal models for generalized polarized pairs, arXiv: 1806.01234.
- Boundedness of the base varieties of certain fibrations. arXiv: 2002.06565.
- On finiteness of log canonical models. arXiv: 2006.01370.
- A variant of the effective adjunction conjecture with applications. arXiv: 2007.04107.