Published
Yanlong Hao "On trace set of hyperbolic surfaces and a conjecture of Sarnak and Schmutz," arxiv: 2410.05223. 2024, Groups, Geometry, and Dynamics (to appear).
Hao and Xiugui Liu. "(No)-Triviality on Homotopy Elements Involving βn.", Southeast Asian Bulletin of Mathematics. Vol. 49(3)(2025), 301-314. Link
Yanlon Hao, "Marked length pattern rigidity for arithmetic manifolds." Ergodic Theory and Dynamical Systems 45(4) (2025), 1199–1223. PDF Link
Yanlong Hao, Qianwen Sun, and Stephen Theriault. "Moore’s conjecture for polyhedral products." Mathematical Proceedings of the Cambridge Philosophical Society. Vol. 167(1)(2019), 23-33. Link
Yanlong Hao and Xiugui Liu. "On the rational homotopical nilpotency index of principal bundles," Boletın de la Sociedad Matemática Mexicana, 23(2) (2017), 847-851. Link
Yanlong Hao, Xiugui Liu, and Qianwen Sun. "The homotopy fixed point sets of sphere actions on rational complexes." Osaka Journal of Mathematics 53.4 (2016): 971-981. Link
Yanlong Hao, Xiugui Liu, and Qianwen Sun. "Two-stage spaces and the torus rank conjecture." Topology and its Applications 202 (2016): 112-116. PDF
Preprint
8. Yanlong Hao and Beibei Liu, "Brownian motion and orbit counting of Kleinian groups," arXiv:2508.09807, 2025.
9. Yanlong Hao, "Totally real deficiency and Mahler measure of Salem type numbers," 2025. PDF
10. Yanlong Hao, "Marked length varieties and arithmeticity," arXiv:2507.16195, 2025, submitted.
11. Yanlong Hao "Arithmeticity and geometrical commensurators," arxiv: 2412.07614. 2024, submitted.
12. Yanlong Hao. "Marked length spectra of Gromov hyperbolic space," arxiv:2312.09019. 2023.
13. Yanlong Hao. "Bounded clustering property characterizes arithmetic nonuniform Kleinian groups," arxiv:2303.03195.
14. Yanlong Hao. "Groups acts isometrically on proper hyperbolic complexes," arxiv:2212.12837. 2012, Submitted.