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.
- 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.
- Topology Laboratory
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.
- Knot Theory Laboratory
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.