Geometric Analysis

[Nakamura・Yasui Lab.]

We develop the theory on nonlinear partial differential equations in the Friedmann-Lemaître-Robertson-Walker spacetimes in the general relativity. We also conduct research on low-dimensional topology, especially on various aspects of 4-manifold topology.

Applied Geometry

[Higashitani Lab.]

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

Discrete Structures

[Wakabayashi Lab.]

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.

Mathematical Science

[Mimachi・Nawata Lab.]

Our theme is the following: Complex analytic differential equations, topology, representation theory, operator algebras, and their application to the quantum mechanics, the statistical mechanics and the quantum field theory.

Applied Analysis

[Sugiyama・Chawanya Lab.]

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.

Cooperative Laboratories

Computer Assisted Mathematics

[Furihata・Miyatake Lab.]

[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.