## Department

The Department of Mathematics, established in 1930, has approximately 40 academic staff, 150 undergraduate students (2nd–4th year), and 100 masters/doctoral graduate students. We host several international conferences with over 200 visitors every year. Our department covers a wide range of research areas — from theory-driven approaches that mainly seek to achieve theoretical sophistication to more empirically oriented approaches that employ computers for calculations on various phenomena. More specifically, our research fields include hyperplane arrangements, representation theory, differential geometry, singularity theory, partial differential equations, mathematical physics, chaos, probability theory, dynamical systems, and so on. We have published the Hokkaido Mathematical Journal since 1972 in collaboration with the Mathematics Library, which contains about 85,000 books and 1500 journals. Our major achievements are: (1) the 21st Century Center of Excellence (COE) Program Mathematics of Nonlinear Structure via Singularity from 2003 to 2008, and (2) the Japan Society for the Promotion of Science (JSPS) International Training Program The International Sending-Elevating Project for Young Mathematicians Based on Singularity, Topology and Mathematical Analysis: Hokudai Model from 2008 to 2012. After the fruitful success of the COE program, we founded the Research Center for Integrative Mathematics in 2008. In addition to our departmental staff, several members of the Research Institute for Electronic Science contribute to our diverse educational program.

### Specialties and expertise

### Algebra

Algebraic analysis

Algebraic geometry

Arithmetic geometry

Hyperplane arrangements

Infinite analysis

Representation theory

Special functions

Vertex algebras

### Geometry

Differential geometry

Dynamical systems

Group cohomology

Mirror symmetrytry

Singularity theory

Sub-Riemann geometry

Topology

### Analysis

Algebraic analysis

C*-algebras

Geometric measure theory

Geophysical equations

Harmonic analysis

Mathematical physics

Nonlinear dispersive equations

Potential theory

Probability theory

### Applied mathematics

Asymptotic analysis

Chaos

Complex systems

Dynamical systems

Ergodic theory

Ginzburg-Landau equation

Probability theory

Statistical Mechanics