李长征李长征 

个人网页 http:/gagp/czli

系别：数学系

电话：020-84111738

职称：教授

邮箱：lichangzh @ mail.sysu.edu.cn

 

 

 

研究方向：

代数几何、数学物理。尤其关心量子Schubert 分析、Gromov-Witten 不变量理论、镜像对称猜想、primitive form theory、Gamma 猜测等相关问题。

研究成果：

科研论文

 

  1. (with A.S. Buch, S. Chung and L. Mihalcea) Euler characteristics in the quantum K-theory of flag varieties,  Selecta Math. (N.S.) 26 (2020), no. 2, 29.
  2. (with K. Chan and N.C. Leung) Pseudotoric structures and special Lagrangian torus fibrations on certain flag varieties, J. Geom. Phys. 146 (2019), 103489.
  3. (with L. Mihalcea and R. Shifler) On the Conjecture O for odd symplectic Grassmannians, to appear in Bull. London Math. Soc. 51, (2019),  705–714.
  4. (with V. Ravikumar, F. Sottile and M. Yang) A geometric proof of an equivariant Pieri rule for flag manifolds,  Forum Math. 31 (2019), no. 3, 779–783.
  5. (with T. Lam, L. Mihalcea and M. Shimozono) A conjectural Peterson isomorphism in K-theory, J. Algebra 513 (2018), 326–343. 
  6. (with N.-C. Leung) An update of quantum cohomology of homogeneous varieties, Proceedings of the Sixth International Congress of Chinese Mathematicians. Vol. II, 211–235, Adv. Lect. Math. (ALM), 37, Int. Press, Somerville, MA, 2017. 
  7. (with S. Li, K. Saito and Y. Shen) Mirror symmetry for exceptional unimodular singularities,   J. Eur. Math. Soc.19 (2017), no. 4, 1189–1229.  
  8. (with D. Cheong) On the Conjecture O for G/P,  Adv. Math. 306 (2017), 704--721.
  9. (with V. Ravikumar) Equivariant Pieri rules for isotropic Grassmannians,  Math. Ann. 365 (2016), no. 1-2, 881–909.
  10. (with Y. Huang) On equivariant quantum Schubert calculus for G/P,  J. Algebra 441 (2015), 21–56.  
  11. Functorial relationships between QH^*(G/B) and QH^*(G/P) (II). Asian J. Math. 19 (2014), no.2, 203-234.
  12. (with L.C. Mihalcea) K-theoretic Gromov-Witten invariants of lines in homogeneous spaces. Int. Math. Res. Not. IMRN (2014), no. 17, 4625-4664.
  13.  (with N.-C. Leung) Quantum Pieri rules for tautological subbunldes, Adv. Math. 248 (2013), 279-307.
  14.  (with N.-C. Leung) Classical aspects of quantum cohomology of generalized flag varieties. Int. Math. Res. Not. IMRN (2012), no. 16, 3706-3722.
  15. (with N.-C. Leung) Gromov-Witten invariants for G/B and Pontryagin product for OmegaK. Tran. Amer. Math. Soc. (2012) no. 5, 2567-2599.
  16. (with N.-C. Leung) Functorial relationships between QH^*(G/B) and QH^*(G/P).  J. Differential Geom. 86 (2010), no. 2, 303-354.
  17. (with N.-C. Leung) Hard Lefschetz actions in Riemannian geometry with special holonomy. Math. Res. Lett. 15 (2008), no. 4, 683-698.

 

学习经历：

1999年9月--2003年7月：中国科学技术大学， 本科。

2003年8月--2009年8月：香港中文大学，硕士、博士。

 

工作经历：

2009年9月--2014年8月分别于韩国高等研究院（KIAS)及日本东京大学Kavli IPMU研究所从事博士后研究。其后于韩国基础科学研究所几何物理中心（IBS-CGP）任职tenure-track研究员，并于2016年秋回3522vip浦京集团官网任教。