## Introduction of Laboratory ( Mathematics / Language )

### MAEDA Lab.

**Research Field: **[Mathematics] Algebraic Geometry

#### 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.

Associate Professor

MAEDA Hironobu

### NAOI Lab.

**Research Field: **[Mathematics] Representation theory

#### Analyze symmetries via matrices

Representation theory is the field of mathematics in which symmetries are studied by representing them in forms of matrices.

In Naoi LAB, we study the mysterious symmetries called "quantum groups" in the view of representation theory.

Senior Assistant Professor

NAOI Katsuyuki