Brief CV
I am mainly working on complex algebraic geometry and complex geometry, including
positivity in algebraic geometry, Fano varieties, rational curves, holomorphic foliations
and other related topics.
Personal Home Page: http://www.jliumath.com/
Office: Siyuan Building（思源楼） 914
Email: 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 Ph.D. in Mathematics, Université Cote d'Azur
Advisor: Andreas H？ring and Christophe Mourougane
2014 -- 2015 Master in Mathematics, Université de Rennes 1
Advisor: Sébastien Boucksom
2009 -- 2014 Bachelor and Master in Mathematics, Wuhan University
Preprints
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On moment map and bigness of tangent bundles of G-varieties
Preprint (2022)
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Algebraic fibre spaces with strictly nef relative anti-log canonical divisor (with Wenhao Ou, Juanyong Wang, Xiaokui Yang and Guolei Zhong)
Preprint (2021)
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Fano manifolds with big tangent bundle: a characterisation of V_5 (with Andreas Hoering)
Preprint (2021)
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Normalized tangent bundle, varieties with small codegree and pseudoeffective threshold (with Baohua Fu)
Preprint (2021)
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Projective manifolds containing an ample divisor isomorphic to a locally rigid Fano complete intersection
Preprint (2019)
Accepted Papers
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Projective manifolds whose tangent bundle contains a strictly nef subsheaf (with Wenhao Ou and Xiaokui Yang)
Preprint (2020), to appear in Journal of Algebraic Geometry.
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Examples of Fano manifolds with non-pseudoffective tangent bundle (with Andreas Hoering and Feng Shao)
Preprint (2020), to appear in Journal of the London Mathematical Society.
Publications
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Stability of the tangent bundles of complete intersections and effective restriction
Annales de l'Institut Fourier 71 (2021), no. 4, 1601-1634.
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Strictly nef vector bundles and characterizations of P^n (with Wenhao Ou and Xiaokui Yang)
Complex Manifolds 8 (2021), no. 1, 148-159.
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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.
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Note on quasi-polarized canonical Calabi-Yau threefolds
Comptes Rendus Mathématique. Académie des Sciences. Paris 358 (2020), no. 4, 415-420.
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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.
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Second Chern class of Fano manifolds and anti-canonical geometry
Mathematische Annalen 375 (2019), no. 1-2, 655–669.
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Characterization of projective spaces and P^r-bundles as ample divisors
Nagoya Mathematical Journal 233 (2019), 155–169.
Contact Informations
Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
No. 55, Zhongguancun East Road, Haidian, Beijing, 100190, People's Republic of China.