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.
Michiaki Inaba
Professor
Laboratory
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Keywords : ***
Yumiko Umegaki
Professor
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
Megumi Sano
Associate Professor
Laboratory
Nonlinear Analysis
Functional inequality, variational problem, partial differential equation
Keywords : functional inequality, partial differential equation, variational problem, non-compactness, critical Sobolev space
Masato Shinoda
Professor
Probability
Probabilistic models of statistical mechanics
Keywords : discrete probabilistic models, fractal sets, mathematical games
Tomoko Takemura
Associate Professor
Laboratory
Probability
Probability and stochastic analysis
Keywords : Diffusion process, limit theorem, skew product, harmonic transform, Dirichlet Form
Hiroko Murai
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