About my research interest:
My research interests lie primarily in complex algebraic geometry and its interaction with dynamics.
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Publication (including accepted papers):
(with Jun-Muk Hwang) Holomorphic symplectic geometry of elliptic surfaces, Journal of Algebraic Geometry (to appear).
(with Zelong Chen and Sheng Meng) On smooth rationally connected projective threefolds of Picard number two admitting int-amplified endomorphisms, Journal of the LMS (to appear). [arXiv]
(with Masataka Iwai and Shin-ichi Matsumura) Positivity of tangent sheaves of projective varieties -- the structure of MRC fibrations, Algebraic Geometry (to appear). [arXiv]
(with Tien-Cuong Dinh) Periodic points for meromorphic self-maps of Fujiki varieties, Indiana University Mathematics Journal, 74 (2025), no. 6, pp. 1561-1587. [Journal][arXiv]
(with Fei Hu) Canonical heights for abelian group actions of maximal dynamical rank, Forum of Mathematics, Sigma 13 (2025), Paper No. e18. [Journal][arXiv]
(with Feng Shao) Bigness of tangent bundles and dynamical rigidity of Fano manifolds of Picard number 1 (with an appendix by Jie Liu), Mathematische Annalen 391 (2025), no. 2, pp. 1731-1752. [Journal][arXiv]
(with Jia Jia and Yongnam Lee) Smooth projective surfaces with pseudo-effective tangent bundles, Journal of the Mathematical Society of Japan 77 (2025), no. 1, pp. 75-102. [Journal][arXiv]
(with Juanyong Wang) Strictly nef divisors on singular threefolds, International Journal of Mathematics 35, no. 13, Paper No. 2450054 (2024). [Journal][arXiv]
(with Jie Liu, Wenhao Ou, Juanyong Wang, and Xiaokui Yang) Algebraic fibre spaces with strictly nef relative anti-log canonical divisors, Journal of the LMS 109, no. 6, Article ID e12942, 26 p. (2024). [Journal][arXiv]
(with Feng Shao) Boundedness of finite morphisms onto Fano manifolds with large Fano index, Journal of Algebra 639 (2024), pp. 678-707. [Journal][arXiv]
Existence of the equivariant minimal model program for compact Kähler threefolds with the action of an abelian group of maximal rank, Mathematische Nachrichten 296 (2023), no. 7, pp. 3128-3135. [Journal][arXiv]
(with Jia Jia) Amplified endomorphisms of Fano fourfolds, manuscripta mathematica 172 (2023), pp. 567-598. [Journal][arXiv]
(with Sheng Meng) Rigidity of rationally connected smooth projective varieties from dynamical viewpoints, Mathematical Research Letters 30 (2023), no. 2, pp. 589-610. [Journal][arXiv]
(with Sheng Meng and De-Qi Zhang) Non-isomorphic endomorphisms of Fano threefolds, Mathematische Annalen 383 (2022), no. 3-4, pp. 1567-1596. [Journal][arXiv]
(with Yohsuke Matsuzawa, Sheng Meng, Takahiro Shibata, and De-Qi Zhang) Invariant subvarieties with small dynamical degree, International Mathematics Research Notices IMRN 2022, no. 15, pp. 11448-11483. [Journal][arXiv]
Compact Kähler threefolds with the action of an abelian group of maximal rank, Proceedings of the AMS 150 (2022), no. 1, pp. 55-68. [Journal][arXiv]
Int-amplified endomorphisms of compact Kähler spaces, Asian Journal of Mathematics 25 (2021), no. 3, pp. 369-392. [Journal][arXiv][Addendum]
Totally invariant divisors of int-amplified endomorphisms of normal projective varieties, Journal of Geometric Analysis 31 (2021), no. 3, pp. 2568-2593. [Journal][arXiv]
Preprints:
(with Sheng Meng) Kawaguchi-Silverman conjecture for int-amplified endomorphism, 2024, submitted. [arXiv]
(with Shin-ichi Matsumura) Positivity of compact Kähler varieties admitting an int-amplified endomorphism, 2026.
(with Shin-ichi Matsumura) A Note on compact Kähler varieties with pseudo-effective tangent sheaf, 2026.
Other texts & notes:
(Ph.D. thesis) Algebraic dynamics on compact normal varieties, National University of Singapore, October 2021. [pdf]
A summary of the known results on the endomorphism conjecture (to be updated). [pdf]