Faculty and Researchers

Mathematics and Physics

Mathematics and Geometry

An introduction to faculty staff members and laboratories in the Mathematics and Geometry.
Note: Information on the laboratories is current as of the 2020 academic year. There may be changes to this information in the 2021 academic year.

IKEDA Toru

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.

SAKUMA Kazuhiro

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.

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.