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.
Associate Professor
NAOI Katsuyuki
NAKAZONO Lab.
Research Field: [Mathematics] Integrable Systems


Symmetries and geometric structures of difference equations
Differential and difference equations, which have symmetries or an infinite number of conserved quantities, can be reduced to liner problems, etc. are called integrable systems.
In NAKAZONO Lab., we study symmetries and geometric structures of integrable systems.
Lecturer
NAKAZONO Nobutaka