个人简介
Education
B.S. Pure and Applied Mathematics, Anhui University, September 2003–July 2007.
Ph.D. Mathematics, University of Chinese Academy of Sciences, September 2007–July 2014.
Dissertation Advisor: Xiangyu Zhou
Joint Ph.D. Program, University of California at Los Angeles, September 2012–March 2014.
Advisor: Kefeng Liu
Employment
Spetember 2020–present, Associate Professor, School of Mathematical Sciences, Beijing Normal University
July 2016–September 2020, Assistant Professor, School of Mathematical Sciences, Beijing Normal University
July 2014–June 2016, Postdoc, School of Mathematical Sciences, Peking University
Host: Huijun Fan
研究领域
My research field is several complex variables and complex geometry. I'm now interested in :
Positivity of holomorphic vector bundles
Extension problems of holomorphic objects
Complex Monge-Ampere equations
Gromov-Hausdorff theory and complex geometry
近期论文
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Papers
Joint with Jiafu Ning and Xiangyu Zhou, On the exension of Kahler currens on compact Kahler manifolds: holomorphic retraction case, arXiv:2105.08224., accepted by Ann. Fac. Sci. Toulouse Math.
Joint with Fusheng Deng, Jiafu Ning, and Xiangyu Zhou, Positivity of holomorphic vector bundles in terms of $L^p$-conditions of $\bar\partial$, Math. Ann. https://doi.org/10.1007/s00208-021-02348-7
Joint with Xiankui Meng, A Kaehlerness criterion for real (1,1)-classes on projective manifolds through extendibility of singular potentials, Sci. China Math. 65 (2022), no.9, 1795--1802.
Joint with Jiafu Ning, and Xiangyu Zhou, Extension of quasi-plurisubharmonic functions, Mathematical Theory and applications, 41 (2021), no. 3, 1--12. [Survey paper]
Joint with Fusheng Deng, and Jiafu Ning, Characterizations of plurisubharmonic functions, Sci. China Math. 64 (2021),no.9,1959--1970. [Report: https://mp.weixin.qq.com/s/DUopYXrQOXr6C8ydtJOqkA]
Joint with Fusheng Deng, Liyou Zhang and Xiangyu Zhou, Linear invariants of complex manifolds and their plurisubharmonic variations, J. Funct. Anal. 279 (2020), no.1, 108514. https://doi.org/10.1016/j.jfa.2020.108514.
Joint with Xiangyu Zhou, CR eigenvalue estimate and Kohn-Rossi cohomology, arXiv:1905.03474. Accepted for publication by J. Diff. Geom.
Joint with Fusheng Deng, Liyou Zhang and Xiangyu Zhou, Holomorphic invariants of bounded domains, J. Geom Anal, 30 (2020), 1204--1217
Joint with Fusheng Deng, Liyou Zhang and Xiangyu Zhou, A new proof of Kiselman's minimum principle for plurisubharmonic functions. C. R. Math. Acad. Sci. Paris, 357 (2019), no.4., 345--348.
On Grauert-Riemenschneider type criteria. Acta Math. Sin. (Engl. Ser.) 35 (2019), no.5., 609--618.
Joint with Jinling Li, Positivities and vanishing theorems on complex Finsler manifolds. Differential Geom. Appl. 62 (2019), 83--100.
Local Demailly-Bouche's holomorphic Morse inequalities. Bull. Inst. Math. Acad. Sin. (NS.) 12 (2017), no.4., 339--360.
On the volume of a pseudo-effective class and semi-positive properties of the Harder-Narasimhan filtration on a compact Hermitian manifold. Ann. Polon. Math. 11 (2016), no.1., 41--58.
Asymptotics of orbifold Bergman kernels: mixed curvature case. Arch. Math. (Basel) 101 (2013), no.5., 485--494.
Preprints
Joint with Fusheng Deng, Jiafu Ning and Xiangyu Zhou, Linear isometric invariants of bounded domains, preprint 2022.
Joint with Zhan Li, Invariance of plurigenera for generalized polarized pairs with abundant nef parts, arXiv:2208.08073.
Joint with Zhi Li, Jiafu Ning, Xiankui Meng and Xiangyu Zhou, On a Bogomolov type vanishing theorem, arXiv: 2207.12641.
Joint with Xiangyu Zhou, CR eigenvalue estimate and Kohn-Rossi cohomology II, preprint 2021.
Joint with Xiangyu Zhou, On the extension of Kahler currents on compact Kahler manifolds, arXiv: 2002.11381.
Joint with Xiangyu Zhou, Asymptotic estimate of cohomology groups valued in pseudo-effective line bundles, arXiv:1905.03473.
Joint with Fusheng Deng, Liyou Zhang and Xiangyu Zhou, New characterizations of plurisubharmonic functions and positivity of direct image sheaves, arXiv:1809.10371.
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