I am interested in manifold toplogy and geometry, and their interactions with other areas.
Publications and Preprints
36. (with Thomas Peternell) Compactification of homology cells, Fujita's conjectures and the complex projective space, [arXiv] preprint 2025
35. Chern numbers on positive vector bundles and combinatorics, [journal] International Mathematics Research Notices, 2025
34. (with Wangyang Lin) Explicit formulas for the Hattori-Stong theorem and applications, [arXiv] preprint 2024, to appear in Algebraic & Geometric Topology.
33. (with Xiaomei Sun, Anqiang Zhu) The spectral rigidity of Ricci soliton and Einstein-type manifolds, [arXiv] preprint 2023
32. Vanishing theorems, rational connectedness and intermediate positivity, [arXiv] preprint 2022
31. The complex genera, symmetric functions and multiple zeta values, [journal] Journal of Combinatorial Theory, Series A, 2024
30. Vanishing theorems on compact Chern-Kähler-like Hermitian manifolds, [journal] Mathematical Research Letters, 2024
29. The Alexandrov-Fenchel type inequalites, revisited, [journal] Communications in Analysis and Geometry, 2023
28. Characteristic numbers, Jiang subgroup and non-positive curvature, [journal] Mathematische Zeitschrift, 2023
27. (with Fangyang Zheng) Chern class inequalities on polarized manifolds and nef vector bundles, [journal] International Mathematics Research Notices, 2022
26. On some applications of Gauduchon metrics, [journal] Geometriae Dedicata, 2021
25. Nonnegative Hermitian vector bundles and Chern numbers, [journal] Mathematische Annalen, 2021
24. The rigidity on the second fundamental form of projective manifolds, [journal] Manuscripta Mathematica, 2020
23. Kähler hyperbolic manifolds and Chern number inequalities, [journal] Transactions of the American Mathematical Society, 2019
22. The spectral rigidity of complex projective spaces, revisited, [journal] Mathematische Zeitschrift, 2018
21. The Hirzebruch χ_y-genus and Poincaré polynomial revisited, [journal] Communications in Contemporary Mathematics, 2017
20. Some remarks on the uniqueness of the complex projective spaces, [journal] Bulletin of the London Mathematical Society, 2016
19. A characterization of the A-genus as a linear combination of Pontrjagin numbers, [journal] Archiv der Mathematik, 2016
18. Eigenvalues of vector fields, Bott's residue formula and integral invariants, [journal] Differential Geometry and its Applications, 2016
17. Cauchy-Schwarz-type inequalities on Kähler manifolds-II, [journal] Journal of Geometry and Physics, 2016
16. An integral inequality for constant scalar curvature metrics on Kähler manifolds, [journal] Advances in Mathematics, 2016
15. Circle action with prescribed number of fixed points, [journal] Acta Mathematica Sinica, English Series, 2015
14. -1-phenomena for the pluri χ_y-genus and elliptic genus, [journal] Pacific Journal of Mathematics, 2015
13. On the vanishing of characteristic numbers, [journal] Homology, Homotopy and Applications, 2014
12. An application of the rigidity of Dolbeault-type operators, [journal] Mathematical Research Letters, 2013
11. Poincaré polynomial and SL(2,C)-representation on Kähler manifolds, [journal] Archiv der Mathematik, 2013
10. (with Kefeng Liu) On an algebraic formula and applications to group action on manifolds, [journal] Asian Journal of Mathematics, 2013
09. A gap theorem of Kähler manifolds with vanishing odd Betti numbers, [journal] Differential Geometry and its Applications, 2013
08. Cauchy-Schwarz-type inequalities on Kähler manifolds, [journal] Journal of Geometry and Physics, 2013
07. Remarks on Bott residue formula and Futaki-Morita integral invariants, [journal] Topology and its Applications, 2013
06. Circle action, lower bound of fixed points and characteristic numbers, [journal] Journal of Fixed Theory and Applications, 2012
05. The rigidity of Dolbeault-type operators and symplectic circle actions, [journal] Proceedings of the American Mathematical Society, 2012
04. (with Kefeng Liu) Circle action and some vanishing results on manifolds, [journal] International Journal of Mathematics, 2011
03. (with Kefeng Liu) Some remarks on circle action on manifolds, [journal] Mathematical Research Letters, 2011
02. Chern numbers and the indices of some elliptic differential operators, [journal] Pacific Journal of Mathematics, 2011
01. (with Yang Su) The signature of generalized flag manifolds and applications, [journal] Acta Mathematica Sinica, English Series, 2010
