Members: Rong Du, Naihong Hu, Xiangyu Jiao, Haibo Jin, Zhiguo Liu, Jun Lu, Li Luo, Ma Luo, Xin Lyu, Sheng Meng, Lu Qi, Yujun Qin, Zhenhua Qu, Bin Shu, Shengli Tan, Bingyong Xie, Siman Yang, Tong Zhang, Guodong Zhou
Introduction: The School of Mathematical Sciences at East China Normal University is one of the important institutions for algebraic research in China, primarily focusing on three areas: algebraic geometry, number theory, and representation theory. As early as the 1980s, under the cultivation of professors such as Cao Xihua, Shen Guangyu, Xiao Gang, Chen Zhijie, and Zhu Fuzu, a research team with distinct characteristics and international influence in algebraic groups and Lie algebras, as well as algebraic surfaces, was formed. This team nurtured a large number of renowned algebraists, including Xi Nanhua, Wang Jianqin, Shi Jianyi, Tan Shengli, Chen Meng, Qin Hourong, Sun Xiaotao, and Xu Fei. Over the decades, the algebraic research at the School of Mathematical Sciences has expanded to include various directions such as moduli spaces of curves, fibrations of algebraic surfaces, foliations of algebraic surfaces, Hodge theory, the Langlands program, modular and automorphic forms, q-series, quantum groups and Kazhdan-Lusztig theory, representations of modular Lie (super)algebras, vertex operator algebras, algebraic representation theory, and homological algebra.
Members: Bo Liu, Gang Liu, Ruifeng Qiu, Chao Wang, Yiling Wang, Ruicong Wu, Yuchi Wu, Yu Zheng, Dekai Zhang, Linfeng Zhou, Qing Zhou, Meng Zhu, Yanqing Zou.
Introduction: The Geometry and Topology Group is a prestigious research team with a rich history of excellence. Established in the 1990s, the group has been shaped by leading figures such as Professors Chunli Shen and Qing Zhou, who laid the groundwork for differential geometry and low-dimensional topology. Today, it is recognized for its expertise in complex geometry, geometric analysis, differential geometry, and low-dimensional topology. Notable achievements include breakthroughs in areas such as Milnor’s conjecture on 3-manifolds, Yau’s uniformization conjecture, the finite generation conjecture, index theory, K-theory, and topological invariants. The group’s work has been published in top-tier mathematical journals, including Ann. Math., Invent. Math., Comm. Pure Appl.Math. and so on. One of the members was invited to present at the ICM, received the Xplorer Prize, and was selected for the New Cornerstone Researcher Program.
Members: Zhangchi Chen, Tao Cheng, Sayan Das, Qing Gu, Wenxia Li, Junping Liu, Junjie Miao, Hang Wang, Qin Wang.
Introduction: The Analysis Research Group at ECNU boasts a long and illustrious tradition in mathematical analysis, tracing its roots to the university’s early days when pioneers such as Ruifu Li and Qixiang Cheng laid the foundation in complex function theory and functional analysis. In the new millennium, under the visionary leadership of Huaxin Lin, the Research Center for Operator Algebras was established in our group, a milestone that has enabled numerous high-level international academic exchanges and collaborations with world-class experts, greatly enhancing our global influence. Today, our dynamic team builds on this rich heritage while exploring new frontiers in analysis. Our research focuses on operator algebras, real analysis, and complex analysis and includes areas such as C*-algebras, noncommutative geometry, large-scale geometry, von Neumann algebras, geometric measure theory, wavelet, fractal geometry, value distribution theory, quasi-conformal geometry, Teichmmuller spaces, complex geometry, and complex dynamical systems. Outstanding results by group members have been published in prestigious journals, including Proc. Natl. Acad. Sci., Ann. Math., Invent. Math.
>>Research Center for Operator Algebras>>
Members: Yuanyuan Feng, Xiaoqing He, Xia Huang, Liping Wang, Dong Ye, Hairong Yuan, Yanyan Zhang, Chunyi Zhao, Feng Zhou
Introduction: The theory of partial differential equations (PDEs) serves as a powerful tool for characterizing and describing numerous phenomena in the natural world. Not only does it play a foundational role in the rapidly evolving development of modern science and technology, but it has also gradually become a key instrument in the study of other branches of mathematics.
The Partial Differential Equations team at the School of Mathematical Sciences is built upon the "Center for Partial Differential Equations" established in 2010 by Professor Wei-Ming Ni. In the past decade, the team has made a series of significant contributions in various important PDE-related fields, including the diffusion theory of biological and medical modeling, the theory of superconductivity and liquid crystals, the blow-up phenomena of nonlinear elliptic equations, the high-order elliptic equations, the Euler equation in aerodynamics, and many other important problems from geometry or physics.
Members: Ping Bi, Yong Chen, Haohui Dai, Wei Fu, Xianlong Fu, Qing Gu, Fang Li, Tao Li, Yuqi Li, Xingbo Liu, Yinping Liu, Mingkang Ni, Xiaoyan Tang, Jing Zhang, Qing Zhou
Introduction: The Systems Science and Control Team is affiliated with the Institute of Systems Science at East China Normal University, one of the pioneering academic institutions dedicated to scientific research and advanced talent cultivation in the fields of systems science, modern control theory and related fields. The institute integrates international academic frontiers with the economic and social development needs of the nation and Shanghai, conducting research on mathematical methods with common foundational characteristics in the fields of systems science, cybernetics and artificial intelligence. The team is committed to exploring practical engineering applications, organizing academic seminars and offering core professional courses in these fields. It aims at cultivating applied fundamental scientists and interdisciplinary talents with solid mathematical and physical foundations, which are capable of conducting scientific research and applications in system control, artificial intelligence and operational decision-making. The team’s research spans a range of areas, including complexity and nonlinear science, control theory and applications, singular perturbation systems, dynamical systems, nonlinear mathematical physics, automated reasoning and symbolic computation, statistical learning and swarm intelligence, pattern recognition and image processing.
Members: Ruoxia Du, Fang Li, Changhong Lv, Zili Xu, Longtu Yuan, Ben Yang, Qingjie Ye, Xingzhi Zhan, Xiangyun Zhang, Shengfeng Zhu.
Introduction: The Combination and Optimization Team at East China Normal University excels in graph theory, operations optimization, enumerative combinatorics, PDE-constrained optimal control problems, combinatorial algorithm theory and its applications, mathematical theory of machine learning, and algebraic combinatorics. The team provides essential mathematical support for major national projects, including the Yangshan Automated Port and Tangshan Port. In recent years, our team has received several accolades, including the Shanghai Science and Technology Progress Award, the Xiao Shutie Applied Mathematics Award, and the Outstanding Technological Achievement Award from the Huawei Shanghai Research Institute. We undertake significant special projects funded by the Ministry of Science and Technology and numerous commissioned projects from industry leaders such as Huawei, SIPG Group, Tangshan Port, CCCC Information Technology, and others.
Members: Jie Du, Xueping Guo, Fang Li, Jianyu Pan, Yuanming Wang, Pengbo Xu, Xiangyun Zhang, Haibiao Zheng, Shengfeng Zhu
Introduction: The Scientific Computing Team conducts research spanning multiple directions in scientific and engineering computation, including numerical methods for partial differential equations, finite element methods and their applications, preconditioning methods for algebraic systems, numerical optimization, image processing, machine learning, shape and topology optimization, data dimensionality reduction, multi-domain multiphysics modeling and simulation, parallel algorithms, computational mechanics, and development of industrial application software systems. Their research achievements have been recognized with five first and second prizes in the Science and Technology Progress Awards from the Ministry of Education, Shandong Province, and Shaanxi Province.
Members: Xin Chen, Jing Cheng, Yijie He, Shuhui Li, Caisheng Liao, Di Liu, Pan Liu, Xiaoli Lu, Xiaoqin Wang, Yingkang Wu, Weichi Wu, Bin Xiong, Binyan Xu, Yan Zhu
Introduction: The Mathematics Education Team is a leading group dedicated to advancing research and practice in mathematics education. Comprising experienced educators and researchers, the team focuses on the (digital) mathematics curriculum resources, mathematics teacher education and professional development, international comparisons in mathematics education, the history of mathematics in mathematics education, ICT in mathematics education, gifted education, and mathematical modeling. The team has made significant contributions to advancing mathematics education in China. Notable achievements include establishing the first doctoral program in mathematics education in China, participating in the development and review of national mathematics curriculum standards, driving curriculum reforms and textbook development in Shanghai, founding journals such as Mathematics Teaching (in Chinese) and Asian Journal for Mathematics Education, and successfully hosting the 14th International Congress on Mathematical Education. The team has published several research papers in top-tier journals like Educational Studies in Mathematics and ZDM — Mathematics Education, with numerous academic works published by renowned publishers such as Springer and World Scientific. Through their extensive efforts, the team plays a pivotal role in shaping the future of mathematics education both in China and beyond.
