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Research

Courses in Pure and Applied Mathematics divisions‎

Pure and Applied Mathematics Major Course List provides the following courses: Each course has not a closed form within the laboratory; we perform education as one large course that flexibly encompasses the entire Major.


Combinatorics

From algebraic points of view, we develop concrete theory of combinatorial mathematics and perform research and education on mathematical theory of algorithms. Furthermore, we aim at making their feedbacks to classic theory of combinatorics.

Professor in charge
Professor: Takayuki Hibi


Applied Geometry

We aim to develop new research grounds of geometry, by realizing our education and research on information visualization, through the discretization of differential geometry.

Professor in charge
Professor: Masaaki Wada
Associate Professor: Kouichi Yasui

Discrete Structures

On the basis of research on various types of algebraic systems, we perform fundamental research and education on mathematics related to "structured information" bilaterally, towards information science, and from information science back to mathematics.

Professor in charge
Professor: Susumu Ariki
Associate Professor: Yoshiki Oshima

Mathematical Science

We study differential equations in complex domain, special functions like multivariable hypergeometric functions, twisted de Rham theory (theory on integrals in complex domain), representation theory of infinite dimensional Lie algebras and Vertex algebras, and mathematical physics like the conformal field theory, complete integrable systems, and statistical physics with the aid of computers.

Professor in charge
Professor: Katsuhisa Mimachi
Associate Professor: Kiyokazu Nagatomo

Applied Analysis

We aim to build a base to research nature's hidden laws, by carrying out education and research aimed at elucidating a variety of natural phenomena using analytic methods including construction of mathematically supported numerical methods, and intensive use of a computer.

Professor in charge
Professor: Yoshie Sugiyama
Associate Professor: Tsuyoshi Chawanya

Computer Assisted Mathematics (Cybermedia Center)

Through the process of setting and solving scientific issues by computer experiments, we are promoting education and research related to the construction of mathematical modeling and computer models. Moreover, by the process of setting and solving problems we aim to building a new theory of computational mathematics.

Professor in charge
Professor: Daisuke Furihata
Associate Professor: Yuto Miyatake