I have moved to the Peking University. Please visit my website here.

Zhiqiang Li

Milnor Lecturer
Institute for Mathematical Sciences, Stony Brook University

Stony Brook, NY, USA 11794-3660



I am currently a postdoc holding a Milnor Lecturer position at the Institute for Mathematical Sciences at Stony Brook University. I got my PhD in 2015 from UCLA under the supervision of Professor Mario Bonk.

From February to May 2016, I was a Semester Postdoctoral Fellow at the Institute for Computational and Experimental Research in Mathematics (ICERM) at Brown University. I returned to Stony Brook in Fall 2016.


Spring 2019: MAT 200 (Website)

Research Interests

My research interests lie in the interplay of dynamical systems and geometry of spaces with fractal nature. In particular, I am interested in the dynamics and geometry of Thurston maps.

Publications and Preprints

Z. Li (with T. Zheng), Prime orbit theorems for expanding Thurston maps. Preprint, (arXiv:1804.08221). Long version (PDF), short version (PDF)

Z. Li, Ergodic theory of expanding Thurston maps, volume 4 of The Atlantis Series in Dynamical Systems, Atlantis Press (Springer), 2017. (PDF)

Z. Li, Weak expansion properties and large deviation principles for expanding Thurston Maps. Adv. Math. 285 (2015), 515–567. (PDF)

Z. Li, Equilibrium states for expanding Thurston maps. Comm. Math. Phys. 357 (2018), 811–872. (PDF)

Z. Li, Periodic points and the measure of maximal entropy of an expanding Thurston map. Trans. Amer. Math. Soc., 368 (2016), 8955–8999. (PDF)

B. Balamohan, S. Tanny and Z. Li, A Combinatorial Interpretation for Certain Relatives of the Conolly Sequence. J. Integer Seq., 11 (2008), Article 08.2.1. (PDF).

About Me

My Curriculum Vitae

My Research Statement


A Poem in Chinese (PDF)