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Mathematics / Language

Introduction of Laboratory ( Mathematics / Language )

SEKIGUCHI Lab.

Research Field: [Mathematics] Group theory and related topics

group root system differential eqaution

The basic and fundamental of Mechanics is Mathematics

''Symmetries'' is usually reardes as ''group'' in mathematics. Several kinds of symmetries appear in nature.
In Sekiguchi LAB, we study various subjects (singularities, differential equations, etc)
related with symmetries.

SEKIGUCHI Jiro Professor
SEKIGUCHI Jiro

YAMAGATA Lab.

Research Field: [Mathematics] Representations of Algebras

matrix algebra representation

Algebra in Matrices

Algebra is a set with addition and multiplication, and a typical example of an algebra is a matrix algebra of matrices of the same type.
We study the problem how algebras are realized as subalgebras of matrix algebras.

YAMAGATA Kunio Professor
YAMAGATA Kunio

MAEDA Lab.

Research Field: [Mathematics] Algebraic Geometry

Algebraic Variety/Singular Points/Ramification

Analyse the arithmetic and geometric structure via singularities

Every conic section, i.e. ellipse, parabola or hyperbola, is a plane curve defined by a quadratic equation. The geometric object defined by some algebraic equations is called algebraic variety. Sometimes the defining equations may have multiple roots and these cause singular locus on the variety.
We study the relation between the global structre of the variety and the singular locus including its very infinitely near structure.

MAEDA Hironobu Associate Professor
MAEDA Hironobu