The Department of Mathematical Sciences hosts several active research groups:
| Research group | Person in charge |
| Abstract harmonic analysis | Mahmoud Filali |
| Nonlinear partial differential equations | Peter Hästö |
| Multipliers and analytic function spaces | Mikael Lindström |
| Inverse problems | Valeriy Serov |
| Number theory | Tapani Matala-aho |
| Nonparametric estimation of functions and its applications | Lasse Holmström |
| Fractal geometry and dynamics | Maarit Järvenpää |
| Algebra and its applications | Markku Niemenmaa |