[Geometric and Algebraic Analysis]


Research subjects

This research group investigates the following subjects:

(1) Algebra: Algebraic Geometry, Derived Category, Number Theory, and Iwasawa Theory.

(2) Geometry: Theory of Lie Groups and Homogeneous Spaces, Differential Geometry, Discrete Geometry, Complex Geometry, and Exterior Differential Systems.

(3) Analysis: Several Complex Variables, Pluripotential Theory, Differential Equations, and Nonlinear Waves.

[Lattice] [Polygon]


AGAOKA Yoshio (Professor):
Theory of Riemannian Submanifolds, Connections on Principal Fiber Bundles, Tilings, Discrete Geometry.
ABE Makoto (Professor):
Function Theory of Several Variables, Complex Geometry.
ISHII Akira (Professor):
Algebraic Geometry, Moduli Spaces and Derived Categories of Sheaves.
MIZUMACHI Tetsu (Professor):
Nonlinear Partial Differential Equations of Dispersive Type, Nonlinear waves.
SHIBUYA Kazuhiro (Associate Professor):
Exterior Differential Systems, Finsler Geometry.
KAWAMURA Hisa-aki (Assistant Professor):
Number Theory, Arithmetic Geometry, Hida Theory, Iwasawa Theory.

[Riemann zeta function]