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Zhuchao Ji, Ph.D.

2022-09-27 13:36:32
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Zhuchao Ji, Ph. D.


Assistant Professor of Mathematics

Complex Dynamics Group


◢ Website:https://sites.google.com/site/zhuchaojishomepage/home

◢ Email:jizhuchao@westlake.edu.cn


Mathematics is the art of giving the same name to different things.

                                                                                                                —— Henri Poincaré


Biography

Zhuchao Ji was born in 1993 in the city of Taiyuan, Shanxi, China. He was awarded a Bachelor degree in science in 2016 by Wuhan University, a master degree in mathematics in 2017 by Université Paris Saclay, and a PhD degree in mathematics in 2020 by Sorbonne Université. He was a postdoc at Fudan University, Shanghai Center for Mathematical Sciences from 2020 to 2022. He joined the Institute for Theoretical Sciences, Westlake University in September 2022.


Research

Dr Zhuchao Ji's research interests are in Complex Dynamics and its interaction with Arithmetic Dynamics and Several Complex Variables.


Representative Publications

1. Geometric uniform boundedness conjecture, genus of dynatomic curves and woven currents, with Junyi Xie. Preprint.

2. The moduli space of a rational map is Caratheodory hyperbolic, with Junyi Xie. arXiv:2404.04568.

3. The multiplier spectrum morphism is generically injective, with Junyi Xie. arXiv:2309.15382.

4. Space spanned by characteristic exponents, with Junyi Xie and Geng-Rui Zhang. arXiv:2308.00289.

5. DAO for curves, with Junyi Xie. arXiv:2302.02583.

6. Local rigidity of Julia sets, with Junyi Xie. Amer. J. Math, to appear.

7. The wandering domain problem for attracting polynomial skew products, with Weixiao Shen. arXiv:2209.01715.

8. Homoclinic orbits, multiplier spectrum and rigidity theorems in complex dynamics, with Junyi Xie. Forum. Math. Pi, (2023): 11, E11.

9. Structure of Julia sets for post-critically finite endomorphisms on P^2. Math. Ann, 384 (2022): 857880.

10. Non-uniform hyperbolicity in polynomial skew products. IMRN, 2023 (10), 8755-8799, 2023.

11. Non-wandering Fatou components for strongly attracting polynomial skew products. J. Geom. Anal, 30.1 (2020): 124-152.


Contact Information

Email:jizhuchao@westlake.edu.cn