Zhiqiang Li


Milnor Lecturer
Institute for Mathematical Sciences, Stony Brook University

Stony Brook, NY, USA 11794-3660

 

Office

Math Tower 5D-148C

Office Hours

Tue & Thur - 11:30 am - 12:30 pm; MLC: Wed 4:00 - 5:00 pm

E-Mail

lizq at math .stonybrook .edu


Positions

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.

Teaching

Fall 2017: MAT 125 (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 theorem for expanding Thurston maps. In preparation (2017).

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

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. Accepted by Comm. Math. Phys., 2017. (PDF)

Z. Li, Periodic points and the measure of maximal entropy of an expanding Thurston map. Trans. Amer. Math. Soc., 368 (2016), 89558999. (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

Miscellaneous

A Poem in Chinese (PDF)