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, Li Penghui

Assistant Professors: Dylan Allegretti, Chen Lin, Du Heng, Fan Yu-Wei, He Xiang, Hu Yueke, Koji Shimizu, Su Changjian, Wang Chengxi, Zheng Zhiwei, Artane Jérémie Siad, Li Huajie

Postdoctoral Researchers: Benjamin Yamin Zhou, Besson Marc Julien, Bongiorno Federico, Lamarche Alicia Mae, Otani Takumi, Sahoo Satyabrat, Theodoros Stylianos Papazachariou, Chen Fei, 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 Gaoming, Wang Qi, Wu Haoyu, Xu Shi, Zhao Qixian, Yang Jie, Wang Xin, Ma Qiang

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, Gao Honghao

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

Postdoctoral Researchers: 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, Liu Yang

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 Researchers: Zhang Jingxuan, Artiles Calix Albert Alejandro, Zhang Shihong

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, Wei Zhaohui, Chi-Ming Chang

Assistant Professors: Guo Hao, Robert McRae Harold, Liu Ziwen, Wang Qingrui, Junya Yagi

Postdoctoral Researchers: Arenas Henriquez Gabriel Dario, Bason Davide, Bishal Deb, Boujakhrout Youssra, Elmi Mohamed Abdulwahid Jama, Holden Jack David, Kolekar Kedar Shrikrishna, Nikolaos Angelinos, Sarthak Duary, Shim Myungbo, Sugimoto Shoma, Zhao Roy, Chen Liangyu, Hao Pengxiang, Jin Anran, Liu Han, Liu Sinong, Wang Hao, Wei Xingyue, Xu Xinyu, Yu Song, Ruan Yuze, Shao Yuguo

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, Qiu Lingyun, Zhou Yuan, Gan Lin

Assistant Professors: Angelica Aviles-Rivero, Li Hongjie, Li Li, Liu Jinpeng, Liu Shuang, Pang Tongyao, Su Chunmei, Wang Jun, Dong Jinshuo, He Juncai, Hu Jiang, Chen Yuewen, Hans Emil Oscar Mickelin

Postdoctoral Researchers: Eftekhari Tahereh, Li Yueyao, Shi Qingxiang, Zhang Zhen, Miao Borui, Cui Chen, Su Haibin, Li Yongtao

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, Li Wenbo

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