# Research Teams

Mathematical research at YMSC spans a broad range in pure mathematics, applied mathematics, computational mathematics and related disciplines and engineering. The following are its five main research groups:

## Representation theory, algebraic geometry and number theory

This group focuses on research in algebraic and geometric representation theory, category theory, I-adic cohomology and applications, moduli spaces, Hodge theory, singularity theory, and arithmetic geometry.

**Professors：**Caucher Birkar, Fu Lei, Qiu Yu, Shan Peng, Sheng Mao

**Associate Professors： **Diao Hansheng, Xu Bin, Emmanuel Lecouturier, Will Donovan

**Assistant Professors： **Cao Jin, Fan Yu-Wei, He Xiang, Hu Yueke, Li Penghui, Li yongxiong, Liu Yu, Su Changjian, Wang Haoran, Yang Yilong, Yu Chenglong, Zhang Dingxin, Zheng Zhiwei, Zhou Yu, Dylan Allegretti, Koji Shimizu

**Postdoctoral：** Qu Santai, Chen Bingyi, Du Heng, Wang Qi, Li Pengcheng, Zou Yu, Jiao Junpeng, Jia Boming, Zhang Xucheng, He Wei, Yan Dong, Wang Weijia, Amina Azzouz, Lukzen Elena, Wang Jianping

## Geometry and topology

Research of this group covers a broad range of research including differential geometry, geometric analysis, Teichmüller theory, low-dimensional topology, high-dimensional manifold topology, complex geometry, etc.

**Professors：** Akito Futaki, Lin Yong, Yang Xiaokui

**Associate Professors： **Lin Jianfeng, Wu Yunhui, Xiao Jian

**Assistant Professors： **Chen Weiyan, Gao Honghao, Huang Yi, Jiang Yi, Zhang Yingying

**Postdoctoral：** Han Xiaolong, Hong Han, Zhu Zhifei, Kamtue Supanat, Deng Jialong, Shang Shijie, Lei Mengda

## Analysis, partial differential equation (PDE) and dynamical systems

This group studies the evolution of both finite dimensional and infinite dimensional phase spaces of ordinary or partial differential equations originating from dynamical systems, general relativity, hydrodynamics, etc.

**Professors：**Chen Zhijie, Yitwah Cheung

**Associate Professors：** Jin Long

**Assistant Professors：**Huang Guan, Lan Yang, Wang Xuecheng, Zhang Cheng

**Postdoctoral： **Wei Fei, Zhang Han, Wang Yanlin, Carruth Nathan Thomas, Cao Chuqi, Xu Lingda

## Mathematical physics

Mathematical physics group are devoted to the interdisciplinary study between mathematics and physics, including superstring theory, gauge/gravity duality, supersymmetric theories and their applications in geometry, category theory and topological order in condensed matter physics, machine learning in mathematical physics, etc.

**Professors：** Nicolai Reshetikhin, Liu Zhengwei, Ling-Yan Hung, Song Wei, Zheng Hao

**Associate Professors： **Babak Haghighat

**Assistant Professors： **Gui bin, Guo Hao, Wang Qingrui, Wei Zhaohui, Yan Wenbin, Chi-Ming Chang, Zhou Jie, Mauricio Romo, Robert McRae Harold, Junya Yagi

**Postdoctoral：** Huang Linzhe, Hao Pengxiang, Kikuchi Ken, Wang Ce, Li Hao, Wang Hao, Roby Simon,Thierry, Chen Yuewen, Liu Han, Santilli Leonardo, Li Yong, Nivesvivat Rongvoram , Ruggeri Lorenzo, Hamed Adami, Xu Fengjun, Zhang Bingnan

**YMSC String Group**

https://ymsc-strings.github.io/seminar.html

## Probability theory and applied mathematics

This group is interested in mathematical problems from the real world, including a rigorous understanding of statistical models, PDEs with random coefficients, modeling of self-organization in biology, mathematical methods in imaging science, and other numerical methods.

**Professors： **Ding Jintai, Shi Zuoqiang, Wu Hao, Yang Fan (F), Donald Rubin, Yannis Yatracos , Per Johansson

**Associate Professors： **Yang Fan (M), Zhu Yi, Zhou Yuan

**Assistant Professors：**Bao Chenglong, Du Jie, Gu Chenlin, Jiang Jianping, Jing Wenjia, Liang Xin, Liu Shuang, Qiu Lingyun, Su Chunmei, Wang Jun, Yu Hui

**Postdoctoral：**Song Jiebo, Xu Senzhe, Huang Xiangyu, Li Yun, Yu Lishan