# Faculty and Researchers

## Mathematics Course, Department of Science

An introduction to faculty staff members and laboratories in the Mathematics Course, Department of Science.

Note: Information on the laboratories is current as of the 2019 academic year. There may be changes to this information in the 2020 academic year.

#### Takashi AOKI

- Position
- Professor
- Laboratory
- Algebraic Analysis Laboratory

##### Algebraic Analysis of Singular Perturbation Theory

Infinite series is taught as part of senior high school mathematics, but only convergent infinite series. However, there are also divergent series, which can be very helpful depending on how they are used. Research is conducted into new mathematical applications using divergent series.

#### Toru IKEDA

- Position
- Professor
- Laboratory
- Manifold Laboratory

##### Topology, 3D Manifolds, Knot Theory

A 3-manifold is a space in which a 3D coordinate system can be drawn around arbitrary points. Although it’s difficult to visualize an entire 3-manifold, work here involves cutting and pasting spaces and curves in order to study geometric properties such as symmetry.

#### Fumihito ODA

- Position
- Professor
- Laboratory
- Group Theory Laboratory

##### Representation Theory of Finite Groups

Examination is carried out into finite groups and their representation using a category theory approach. Research is conducted into group actions on simplicial complexes, semi-ordered sets, and modules.

#### Kazuhiro SAKUMA

- Position
- Professor
- Laboratory
- Topology Laboratory

##### Topology

I am studying 4D manifolds and the higher dimensional manifolds by using singularity theory of differentiable maps. There appears singular points in general which degenerate for the differential of smooth maps, so we try to observe the method of eliminating singularities with higer coranks.

#### Kanehisa TAKASAKI

- Position
- Professor
- Laboratory
- Integrable Systems Laboratory

##### Algebraic Analysis, Mathematical Physics, Integrable Systems

Solvable models of mathematical physics are referred to as `integrable systems'. I am studying integrable systems and mathematical physics by the method of algebraic analysis. Not only being extremely interesting in themselves, integrable systems are also closely related to many other fields of mathematics.

#### Tsunenobu ASAI

- Position
- Associate Professor
- Laboratory
- Combinatorics Laboratory

##### Finite Group Theory

Research is conducted into finite groups and combinatorial structures constructed from groups.

#### Kentarou IHARA

- Position
- Associate Professor

##### Number Theory

#### Takao SUZUKI

- Position
- Associate Professor
- Laboratory
- Special Functions Laboratory

##### Special functions and Integrable systems

My research field is the theory of special functions which are defined by differential or difference equations in complex domains. These special functions are related to various fields of pure mathematics and applied mathematics. Therefore they are very interesting research object.

#### Koji CHINEN

- Position
- Associate Professor
- Laboratory
- Applicable Algebra Laboratory

##### Analytic Number Theory, Coding Theory

Coding theory is about ways to properly relay information. It is a comprehensive theory that is the result of numerous mathematical developments. Research is conducted with a focus on algebra, including coding theory as a mathematical theory and related group theory, and ring theory. Research is also conducted into analytic number theory as it relates to ciphers.

#### Yayoi NAKAMURA

- Position
- Associate Professor
- Laboratory
- Computational Algebraic Analysis Laboratory

##### Computational Algebraic Analysis

Using computational algebraic analysis, research is conducted on residues and b-functions. By the usage of residues, polylogarithm and zeta function are studied.

#### Yutaka MATSUI

- Position
- Associate Professor
- Laboratory
- Microlocal Analysis Laboratory

##### Mathematics, Algebraic Analysis, Microlocal Analysis

The field of specialty here is algebraic analysis, which grew out of research into differential equations. Using combinatorics and microlocal analysis, research is conducted into reversion formulas of radon transforms of constructible functions, and the behavior of images.

#### Tomoki YAMASHITA

- Position
- Associate Professor
- Laboratory
- Discrete Mathematics Laboratory

##### Graph Theory

Most discrete structures can be expressed in graph form. Graph theory represents a major research field of discrete mathematics. Here, research is conducted into extremal graph theory, which is the relationship between invariants and local substructures of the graph.

#### In Dae JONG

- Position
- Lecturer
- Laboratory
- Knot Theory Laboratory

##### Knot Theory

Research is conducted into knot theory and low-dimension topology (3D and 4D). To investigate knots mathematically, often the invariants of knots are used. Research takes an interest in the relation between the algebraic properties of invariants and the geometrical properties of knots.