刘 杰(Jie Liu) 

Institute of Mathematics, AMSS,  Chinese Academy of Sciences,

No.55 ZhongGuanCun East Road, Beijing 100190, P. R. China.

E-mail: jliu@amss.ac.cn

Employment

2020--         Institute of Mathematics, C.A.S, Assistant Professor

2018-2020   Morningside Center of Mathematics, C.A.S, Postdoctoral Fellow 

Education

2015-2018  PhD. Mathematics, Université Côte d’Azur, Advisor: Andreas Höring and Christophe Mourougane

2014-2015  Master Mathematics, Université de Rennes 1, Advisor: Sébastien Boucksom

2009-2014  Undergraduate and Master, Department of Mathematics, Wuhan University 

Current Research Interestes

Algebraic geometry and related topics 

Publications

1.        On moment map and bigness of tangent bundles of G-varieties, Preprint (2022)

2.        Algebraic fibre spaces with strictly nef relative anti-log canonical divisor (with Wenhao Ou, Juanyong Wang, Xiaokui Yang and Guolei Zhong), Preprint (2021)

3.        Fano manifolds with big tangent bundle: a characterisation of V_5 (with Andreas Höring), Preprint (2021)

4.        Normalized tangent bundle, varieties with small codegree and pseudoeffective threshold (with Baohua Fu), Preprint (2021)

5.        Projective manifolds whose tangent bundle contains a strictly nef subsheaf (with Wenhao Ou and Xiaokui Yang), Preprint (2020)

6.        Projective manifolds containing an ample divisor isomorphic to a locally rigid Fano complete intersection, Preprint (2019)

7.        Examples of Fano manifolds with non-pseudoeffective tangent bundle (with Andreas Höring and Feng Shao), Preprint (2020), to appear in Journal of the London Mathematical Society.

8.        Stability of the tangent bundles of complete intersections and effective restriction, Preprint (2017), to appear in Annales de l'Institut Fourier.

9.        Strictly nef vector bundles and characterizations of P^n (with Wenhao Ou and Xiaokui Yang), Complex Manifolds 8 (2021), no. 1, 148-159.

10.    Fano manifolds containing a negative divisor isomorphic to a rational homogeneous space of Picard number one, International Journal of Mathematics 31 (2020), no. 9, 2050066, 14pp.

11.    Note on quasi-polarized canonical Calabi-Yau threefolds, Comptes Rendus Mathématique. Académie des Sciences. Paris 358 (2020), no. 4, 415-420.

12.    Seshadri constants of the anticanonical divisors of Fano manifolds with large index Journal of Pure and Applied Algebra 224 (2020), no. 12, 106438, 17 pp.

13.    Second Chern class of Fano manifolds and anti-canonical geometry, Mathematische Annalen 375 (2019), no. 1-2, 655–669.

14.    Characterization of projective spaces and P^r-bundles as ample divisors, Nagoya Mathematical Journal 233 (2019), 155–169.