Research subjects are listed below. However, students are not required to choose their research topics from these. Foreign students receive the Doctor's degree constantly and guest professors have been invited from Germany, Finland and China recently. The mathematics library is one of the best in Japan and a well-organized computer network is accessible. Every graduate student may use both freely.
Geometry is deeply related to physics and promotes progress in mathematics.
Research subjects of the geometry group are the differential geometry and representation theory in the context of the Lie groups and differential manifolds. The subjects of the topology group are algebraic topology and topology of manifolds, in particular the theory of 3 and 4 dimensional manifolds, singularities, foliations, knots, and characteristic classes. Geometry related to infinite analysis as well as themes from quasi-crystals, information geometry and computational geometry are also studied. Many phenomena arising in natural science may be described analytically as partial differential equations. The group on mathematical analysis is devoted to analyzing partial differential equations and providing powerfull mathematical methods for future research in science and technology.