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Master's Program in Mathematics Course

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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.

Faculty and Research

Yumiko Umegaki
Associate 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
Fujio Kako
Professor
Computer Algebra
Algorithm for approximate algebraic computations
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
Assistant Professor
Topology
Three-manifold topology, knot theory
Keywords : Knots, bridge splittings, 3-manifolds, Heegaard splittings
Tomoko Takemura
Assistant Professor
Laboratory
Probability
Probability and stochastic analysis
Keywords : Diffusion process, limit theorem, skew product, harmonic transform, Dirichlet Form
Shuichiro Tsunoda
Professor
Laboratory
Algebra
Unified theory of algebra, geometry, and analysis
Junichi Matsuzawa
Professor
Laboratory
Algebraic Geometry
Representation theory
Keywords : Lie Groups , Lie Algebras, Weyl Groups, Root Systems , Algebraic Surfaces
Hiroko Murai
Assistant 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