Research Teams

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, Zhu Yihang

Associate Professors: Diao Hansheng, William Donovan, Xu Bin

Assistant Professors: Dylan Allegretti, Chen Lin, Du Heng, Fan Yu-Wei, He Xiang, Hu Yueke, Li Penghui, Li Yongxiong, Koji Shimizu, Su Changjian, Wang Chengxi, Yang Yilong, Yu Chenglong, Zhang Dingxin, Zheng Zhiwei, Zhou Yu

Postdoctoral: Benjamin Yamin Zhou, Besson Marc Julien, Bongiorno Federico, Lamarche Alicia Mae, Otani Takumi, Sahoo Satyabrat, Theodoros Stylianos Papazachariou, Chen Fei, Chen Yuewen, Cheng Xiaojiang, Chi Wenhao, Jia Boming, Jia Jia, Jiao Junpeng, Li Huihui, Li Nianzi, Li Pengcheng, Li Shang, Lin Xiaojin, Liu Hexu, Meng Cheng, Wang Jianping, Wang Gaoming, Wang Qi, Wu Haoyu, Xu Shi, Zhang Xucheng, Zhao Qixian

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: Kenji Fukaya, Akito Futaki, Lin Yong, Vladimir Markovic, Wu Yunhui, Yang Xiaokui

Associate Professors: Lin Jianfeng, Xiao Jian

Assistant Professors: Chen Weiyan, Gao Honghao, Yi Huang, Sun Weifeng, Zhu Zhifei

Postdoctoral: Choudhury Diptaishik, Gupta Shubham, Kadyan Monu, Shanon Rubin, Telpukhovskiy Ivan, Deng Jialong, Fan Shuanghe, He Xiang, Hu Jiahao, Hu Jinjin, Niu Weizhe, Qing Chenghao, Sun Haotian, Wang Daxun, Zhang Lei

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, Jing Wenjia, Wang Xuecheng

Assistant Professors: Gui Bin, Lan Yang, Zhang Cheng

Postdoctoral: Zhang Jingxuan, Artiles Calix Albert Alejandro

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

Associate Professors: Babak Haghighat, Yan Wenbin, Zhou Jie

Assistant Professors: Arenas Henriquez Gabriel Dario, Bason Davide, Bishal Deb, Boujakhrout Youssra, Elmi Mohamed Abdulwahid Jama, Holden Jack David, Kohli Ben Michael Miloud, Kolekar Kedar Shrikrishna, Nikolaos Angelinos, Santilli Leonardo, Sarthak Duary, Shim Myungbo, Sugimoto Shoma, Zhao Roy, Chen Liangyu, Hao Pengxiang, Jin Anran, Liu Han, Liu Sinong, Ma Guorui, Wang Hao, Wei Xingyue, Xu Xinyu, Yu Song

YMSC String Group

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

Computational and Applied Mathematics focus on utilizing mathematical theories and methods to solve practical problems, as well as on calculating and analyzing mathematical models through numerical methods. This field encompasses various subfields, such as mathematical modeling, numerical analysis, optimization, inverse problems, data science, and cryptography, and is widely applied in multiple disciplines, including engineering, physics, economics, finance, and biology. Computational and applied mathematics not only provide tools to approximate solutions to complex mathematical problems but also offer solid theoretical support for scientific research and engineering practice in various fields. The main research directions include Post-quantum cryptography, Mathematical modeling, Numerical analysis, Numerical solutions to partial differential equations, Computational dynamical systems, Numerical algebra, Inverse problems, Image processing, Large-scale optimization methods, Mathematical theories and computations in material science, Applied analysis, Machine learning theory, Operations and revenue management theory.

Professors: Ma Jie, Shi Zuoqiang, Zhu Yi

Associate Professors: Bao Chenglong, Gan Lin, Zhou Yuan

Assistant Professors: Angelica Aviles-Rivero, Dong Jinshuo, He Juncai, Li Hongjie, Li Li, Liu Jinpeng, Liu Shuang, Pang Tongyao, Qiu Lingyun, Su Chunmei, Wang Jun

Postdoctoral: Eftekhari Tahereh, Li Yueyao, Shi Qingxiang, Wen Jin, Zhang Zhen

Probability studies the mathematical laws of random phenomena. At the end of 19th century, Kolmogorov and others established an axiomatic system of probability theory, setting up the mathematical foundation for probability theory. In recent years, probability theory has been widely used in many aspects such as fundamental mathematics, natural science and business management. The main research areas include: stochastic analysis, stochastic differential equations, limit theory and statistical physics.

Statistics is the foundation and an essential component data science. It studies data collection, data analysis, explanation and inference, and has been widely used in science, engineering, medicine, finance, government and many other areas. It is a tool to extract information from all kinds of data, quantify uncertainties of quantities of interest, and make accurate predictions for the future. The main research areas include: causal inference, missing data, model selection and model averaging, multi-armed bandits, high-dimensional data and machine learning.

Professors: Per Johansson, Wu Hao, Yang Fan (F), Yang Yuhong

Associate Professors: Yang Fan (M)

Assistant Professors: Gu Chenlin, Jiang Jianping, Wu Yunan

Postdoctoral: Chen Yuanxing, Cui Bosen, Gao Ziwen, Hu Jie, Huang Xiangyu, Li Yun, Peng Jingfu