Research
Publications
Polynomial volume growth of quasi-unipotent automorphisms of abelian varieties (with an appendix in collaboration with Chen Jiang), accepted by Int. Math. Res. Not. IMRN. arXiv:2208.11120
Eigenvalues and dynamical degrees of self-maps on abelian varieties, accepted by J. Algebraic Geom. arXiv: 1909.12296
An inequality on polarized endomorphisms (with Tuyen Trung Truong), Arch. Math. 120 (2023), 27–34. arXiv: 2104.12660
Higher arithmetic degrees of dominant rational self-maps (with Nguyen-Bac Dang, Dragos Ghioca, John Lesieutre and Matthew Satriano), Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 23 (2022), no. 1, 463–481. arXiv: 1906.11188
Free abelian group actions on normal projective varieties: sub-maximal dynamical rank case (with Sichen Li), Canad. J. Math. 73 (2021), no. 4, 1057–1073. arXiv: 1907.00229
Height gap conjectures, D-finiteness, and a weak dynamical Mordell–Lang conjecture (with Jason P. Bell and Matthew Satriano), Math. Ann. 378 (2020), no. 3-4, 971–992. arXiv: 2003.01255
Jordan property for algebraic groups and automorphism groups of projective varieties in arbitrary characteristic, Indiana Univ. Math. J. 69 (2020), no. 7, 2493–2504. arXiv: 1804.10946
A theorem of Tits type for automorphism groups of projective varieties in arbitrary characteristic (with an appendix by Tomohide Terasoma), Math. Ann. 377 (2020), no. 3-4, 1573–1602. arXiv: 1801.06555
Cohomological and numerical dynamical degrees on abelian varieties, Algebra Number Theory 13 (2019), no. 8, 1941–1958. arXiv: 1901.02618
A variant of the Mordell–Lang conjecture (with Dragos Ghioca, Thomas Scanlon and Umberto Zannier), Math. Res. Lett. 26 (2019), no. 5, 1383–1392. arXiv: 1804.10561
Density of orbits of endomorphisms of commutative linear algebraic groups (with Dragos Ghioca), New York J. Math. 24 (2018), 375–388. arXiv: 1803.03928
The dimension of automorphism groups of algebraic varieties with pseudo-effective log canonical divisors, Proc. Amer. Math. Soc. 146 (2018), no. 5, 1879–1893. arXiv: 1611.00875
Periodic subvarieties of a projective variety under the action of a maximal rank abelian group of positive entropy (with Sheng-Li Tan and De-Qi Zhang), Asian J. Math. 22 (2018), no. 3, special issue in honor of Professor Ngaiming Mok's 60th birthday, 451–476. arXiv: 1604.02684
Compact Kähler manifolds admitting large solvable groups of automorphisms (with Tien-Cuong Dinh and De-Qi Zhang), Adv. Math. 281 (2015), 333–352. arXiv: 1502.07060
Criteria for the existence of equivariant fibrations on algebraic surfaces and hyperkähler manifolds and equality of automorphisms up to powers: a dynamical viewpoint (with JongHae Keum and De-Qi Zhang), J. Lond. Math. Soc. (2) 92 (2015), no. 3, 724–735. arXiv: 1509.02996
Ampleness of canonical divisors of hyperbolic normal projective varieties (with Sheng Meng and De-Qi Zhang), Math. Z. 278 (2014), 1179–1193. arXiv: 1407.5694
Preprints
Canonical heights for abelian group actions of maximal dynamical rank (with Guolei Zhong), arXiv:2311.17759.
An upper bound for polynomial volume growth of automorphisms of zero entropy (with Chen Jiang).
A dynamical approach to generalized Weil's Riemann hypothesis and semisimplicity (with Tuyen Trung Truong), arXiv: 2102.04405