# Mathematics

Mathematics is a beautiful science built on rigorous logic. It creates a foundation for science and technology, through the development of which it has a close mutual relationship with physics and other fields in the natural sciences. On the other hand, a knowledge of computers is also essential in this era of rapidly evolving information technology.

The Department of Mathematics offers an extension to traditional mathematics courses, including a comprehensive study of physics, computers and other topics built around mathematics. We foster talented human resources, not just with specialist knowledge but also with the ability to apply logical thinking and flexible ideas. We teach with the aim of fostering human resources able to contribute to the development of cultures, and who will serve in a range of fields in education and information industries after graduation.

The Department of Mathematics is therefore looking for students with the following characteristics: Students who are skilled in mathematics, who have a love of mathematics, who have an intense interest in mathematics and related fields, and who want to learn the power of logical thinking.

## Teaching and Research Faculty

- Akihide HANAKI SOAR Professor
- Representations and characters of association schemes,

Classification of association schemes,

Representations and characters of finite groups

- Yasuhide NUMATA SOAR Associate Professor
- Bijective combinatorics

- Kentaro WADA SOAR Associate Professor
- Representation theory,

Hecke algebra,

Quantum group,

Combinatorics

- Katsuhiko KURIBAYASHI SOAR Professor
- Algebraic models for topological spaces,

Topology of mapping spaces,

String topology

- Dai TAMAKI SOAR Professor
- Homotopy theory and its applications

- Kiyonori GOMI SOAR
- Quantization of field theory by using gerbe

- Keiichi SAKAI SOAR Associate Professor
- Topology of embedding spaces

- Wataru Ichinose SOAR Professor
- The theory of partial differential equations,

Mathematical physics,

The mathematical theory of the Feynman path integral for quantum mechanics and quantum field theory

- Hiroyuki TAKAGI SOAR Professor
- Commutative Banach algebra,

Isometry,

Composition operator

- Yasushi TANIUCHI SOAR Professor
- Partial differential equations,

Navier-Stokes equations,

Incompressible fluid

- Yohei Tsutsui SOAR Assistant Professor
- Kakeya conjecture,

Bochner-Riesz conjecture,

Fourier restriction,

Local smoothing conjecture,

Navier-Stokes equations,

Keller-Segel system,

Othmer-Stevens model

- Kazuaki NAKAYAMA SOAR Associate Professor
- Fluid dynamics,

Interface dynamics,

Information theory

- Yoshiki Otobe SOAR Associate Professor
- Stochastic partial differential equations,

Mathematical foundations for statistical physics,

Field theory,

Infinite dimensional analysis,

Differentiable dynamics,

Information theory

- Bin XIE SOAR Associate Professor
- Theory of probability,

Stochastic analysis,

Stochastic partial differential equations

- Itaru SASAKI SOAR Associate Professor
- Spectral analysis of quantum field models