Research Group
- Algebraic Geometry
- Algebraic Topology and its Applications
- Analysis and Geometry
- Artificial Intelligence and Machine Learning
- Computational Mathematics
- Digital Economy
- Mathematical Physics and General Relativity
- Number Theory and Representation Theory
- Quantum Fields and Strings
- Quantum Symmetry
- Statistics, Probability and Data Science
1. Moduli theory: Moduli stacks of subschemes, vector bundles, sheaves, and objects in derived category. Gromov-Witten and Donaldson-Thomas theory, wallcrossing phenomena, derived algebraic geometry, Super geometry and quantum cohomology.
2. Birational geometry: Singularities, minimal model program
3. Topology of algebraic varieties: Hodge theory, algebraic cycles, motivic homotopy theory
4. Algebraic analysis: D-modules and perverse sheaves
5. Arithmetic geometry: Shimura varieties, Artin-Mazur formal groups
6. Application to physics: Topological string theory, Gauge theories, super Yang-Mills theory, Vafa-Witten and Kapustin-Witten theory, and Higgs bundles on algebraic curves and higher-dimensional varieties
7. Application to computer science: Commutative Algebra, Algebraic geometric implementation of codes, quantum codes
Anatoli Kirillov
Professor
William Donovan
Associate Professor
Yu-Wei Fan
Assistant Professor
Chuangqiang Hu
Assistant Professor
Peter Koroteev
Assistant Professor
Slava Pimenov
Assistant Professor
Dali Shen
Assistant Professor
Tao Su
Assistant Professor
Yuuji Tanaka
Assistant Professor
Nanjun Yang
Assistant Professor
Beihui Yuan
Assistant Professor