Research Group
- Algebraic Geometry
- Algebraic Topology and its Applications
- Analysis and Geometry
- Artificial Intelligence and Machine Learning
- Computational Mathematics
- Digital Economy
- General Relativity and Partial Differential Equations
- Mathematical Physics
- 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 Goodchild Donovan
Assistant Professor
Yu Wei Fan
Assistant Professor
Chuang Qiang Hu
Assistant Professor
Peter Koroteev
Assistant Professor
Svyatoslav Pimenov
Assistant Professor
Da Li Shen
Assistant Professor
Tao Su
Assistant Professor
Yuji Tanaka
Assistant Professor
Nan Jun Yang
Assistant Professor
Bei Hui Yuan
Assistant Professor