Mathematics is the foundation of natural sciences and is applied in various facets of human life. Master course students study analysis of various natural and social phenomena, and construction of mathematical theory by searching the mathematical structures lying in this analysis. Students can learn mathematical capabilities and knowledge through these types of research.

Yumiko Umegaki

Professor

Laboratory

Number Theory

Analytic number theory

Keywords : Automorphic L-functions, Zeros, Special values, Analytic rank of elliptic curve

Takeo Okazaki

Associate Professor

Laboratory

Algebra

Number theory and varieties

Keywords : Automorphic forms and representations, Modular varieties, L-function, New Forms

Minyo Katagiri

Associate Professor

Laboratory

Geometry

Geometric variational problems; Topological graph theory

Keywords : map coloring, graph polynomial, categorification, cohomology group

Tsuyoshi Kobayashi

Professor

Topology

Three-manifold topology; Geometry of knots and links

Keywords : 3-manifold, Knots and Links, Mixing fluids, Origami

Masato Shinoda

Professor

Probability

Probabilistic models of statistical mechanics

Keywords : discrete probabilistic models, fractal sets, mathematical games

Yeonhee Jang

Associate Professor

Topology

Three-manifold topology, knot theory

Keywords : Knots, bridge splittings, 3-manifolds, Heegaard splittings

Tomoko Takemura

Associate Professor

Laboratory

Probability

Probability and stochastic analysis

Keywords : Diffusion process, limit theorem, skew product, harmonic transform, Dirichlet Form

Junichi Matsuzawa

Professor

Laboratory

Algebraic Geometry

Representation theory

Keywords : Lie Groups , Lie Algebras, Weyl Groups, Root Systems , Algebraic Surfaces

Hiroko Murai

Associate Professor

Laboratory

Topology

Knot theory, 3-Manifold topology, and foliations

Keywords : Knots and links, Closed curves on surfaces, Categorification of knot or graph polynomials, Geometry in Origami

Shinya Moritoh

Professor

Laboratory

Analysis

Fourier analysis, wavelet analysis, and function spaces

Keywords : Fourier, wavelet, function space

Taku Yanagisawa

Professor

Laboratory

Nonlinear Analysis

Nonlinear PDE and fluid mechanics

Keywords : Nonlinear partial differential equations, Boundary value problems, Fluid dynamics

Yasushi Yamashita

Professor

Hyperbolic Geometry

Study on hyperbolic structures of low-dimensional manifolds

Keywords : Topology, hyperbolic geometry, visuallization