Changzheng Li

I have moved to Sun Yat-Sen University, Guangzhou, China. Please visit my new homepage.

Here is my current email address:  lichangzh at mail dot sysu dot edu dot cn

I am currently an IBS Fellow at IBS-CGP on the campus of POSTECH. Prior to that, I was a postdoctoral researcher at Kavli IPMU, University of Tokyo.  I also spent two years as research fellow at KIAS, where my mentor was Professor Bumsig Kim .

I got my PhD from the IMS and Department of Mathematics at Chinese University of Hong Kong in July 2009, under the guidance of Professor Naichung Conan Leung. I spent my undergraduate years at University of Science and Technology of China .

Here is my Curriculum Vitae.                                                                            (Last modified: Mar 10, 2017)
　

Research Insterests

I am interested in Algebraic Geometry, Kahler Geometry, with special emphasis on Gromov-Witten theory and Quantum Schubert Calculas. Currently, I am particularly interested in the following topics:
1)  Quantum K-theory of flag varieties.
2)  Mirror symmetry for flag varieties.
3)  Primitive forms and Landau-Ginzburg B-model.

Publications and Preprints (Pdf files here may be slightly different from the published version)

• (with N.-C. Leung)    Hard Lefschetz actions in Riemannian geometry with special holonomy. Math. Res. Lett. 15 (2008), no. 4, 683-698.
• (with N.-C. Leung)    Functorial relationships between QH^*(G/B) and QH^*(G/P).  J. Differential Geom. 86 (2010), no. 2, 303-354.
• (with N.-C. Leung)    Appendix to the paper "Functorial relationships between QH^*(G/B) and QH^*(G/P)".
• (with N.-C. Leung)    Gromov-Witten invariants for G/B and Pontryagin product for OmegaK. Tran. Amer. Math. Soc. (2012) no. 5, 2567-2599.
• (with N.-C. Leung)    Classical aspects of quantum cohomology of generalized flag varieties.. Int. Math. Res. Not. IMRN (2012), no. 16, 3706-3722.
• (with N.-C. Leung)    Quantum Pieri rules for tautological subbunldes, Adv. Math. 248 (2013), 279-307.
• (with L.C. Mihalcea)  K-theoretic Gromov-Witten invariants of lines in homogeneous spaces. Int. Math. Res. Not. IMRN (2014), no. 17, 4625-4664.
•  Functorial relationships between QH^*(G/B) and QH^*(G/P) (II). Asian J. Math. 19 (2014), no.2, 203-234.
• (with S. Li and K. Saito)     Primitive forms via polyvector fields, preprint at arxiv: math.AG/1311.1659.
• (with S. Li, K. Saito and Y. Shen)    Mirror symmetry for exceptional unimodular singularities, to appear in  J. Eur. Math. Soc. ; preprint at arxiv: math.AG/1405.4530.                                 (Codes for the four-point functions in the appendix: .nb file via mathematica or pdf file).
• (with Y. Huang)                On equivariant quantum Schubert calculus for G/P,  to appear in  J. Algebra; preprint at arxiv: math.AG/1506.00872.  
• (with V. Ravikumar)         Equivariant Pieri rules for isotropic Grassmannians, to appear in  Math. Ann；preprint at arxiv: math.AG/1406.4680.
• (with N.-C. Leung)           An update of quantum cohomology of homogeneous varieties, preprint at arxiv: math.AG/1407.5905.
• (with D. Cheong)           On the Conjecture O for G/P, to appear in Adv. Math. ; preprint at arxiv: math.AG/1412.2475.

Other

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