The main interests of the algebraic geometry group are the followings: 1. Topology of algebraic varieties: Hodge theory, algebraic cycles, motivic homotopy theory, derived algebraic geometry, quantum cohomology 2. Birational geometry: Singularities,minimal model program 3. Algebraic curves: Gromov-Witten and Donaldson-Thomas theory, Drinfeld modules, automorphisms in positive characteristics, moduli spaces 4.Algebraic analysis: D-modules and perverse sheaves 5. Arithmetic geometry: Shimura varieties, Artin-Mazur formal groups 6. Application to physics: String theory,supergroups, Higgs bundles 7. Application to computer science: Algebraic geometry code, quantum codes