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. Our research includes diverse fields such as hyperplane arrangements, representation theory, differential geometry, singularity theory, partial differential equations, mathematical physics, chaos, probability theory, and dynamical systems.

Every year, the department sponsors or participates in several research conferences in Sapporo that attract several hundred domestic and foreign researchers. A partial list of the conferences below shows the high level of research activity in our department. The following are the examples of 2019:

- Mathematics Conference for Young Researchers (organized annually by graduate students)
- Sapporo Symposium On Partial Differential Equations (held annually)
- Northeastern Symposium on Mathematical Analysis (held annually)
- Homotopy Theory Symposium
- Workshop on Shimura varieties, representation theory and related topics, 2019
- Lefschetz pencils and Low dimensional Topology

For 2020, despite the impact of COVID-19, we held almost the same events as usual, by online.

These conferences provide students with first-hand glimpses into current research activities as well as opportunities to present their research results to world-renowned mathematicians. In addition, there are several weekly seminars that students are encouraged to attend. The department has an in-house library containing about 100,000 books and 350 titles of journal are accepted annually, where students may study in a spacious and quiet environment. Graduate students are provided with their own desks in the department building. Our recent major achievements in receiving large research grants and participating programs are:

- Japan Science and Technology Agency, Strategic Basic Research Programs (CREST),

Research Area: Modeling Methods allied with Modern Mathematics,

Project: Theory on mathematical modeling for spatio-temporal patterns arising in biology (Research Supervisor: Shin-Ichiro Ei) - Japan Science and Technology Agency, Strategic Basic Research Programs (CREST),

Research Area: Technology for Computing Revolution for Society 5.0,

Project: Optimization problems and their solutions with safe and secure quality validation based on mathematics (Research collaborator: Akira Sakai) - Promotion Office for Integrative Mathematics
- Hokkaido University Ambitious Leader’s Program
- Ph. Discover(A project of Graduate school of Science, Hokkaido University)