At the Department of Mathematics and statistics, people from students to senior researchers constantly produce internationally high quality work. The active research is reflected in a variety of research activities: publications, meetings, societies etc. The Finnish Centre of Excellence in Inverse Problems Research is also coordinated at the department.

** biomathematics** research group builds and analyses mathematical models for biological and medical phenomena.

**harmonic analysis** group studies cancellations, orthogonality and oscillations involved in the interplay of spatial and spectral information.

**geometric analysis** research group focuses on the analysis of functions and representations and on partial differential equations.

**mathematical logic** group studies how mathematical logic makes use of both finite and infinite structures with the help of methods developed in logic.

**mathematical physics** group studies physical phenomena with the help of pure mathematics. Modelling is one of the main fields of application.

**inverse problems** group studies inverse techniques. In inverse problems, we know the predicted results, but not their cause. Inverse techniques can be used to solve many everyday problems.

**mathematics education** research group aims to develop better teaching and learning methods for university mathematics.

**mathematical risk management** group uses mathematical and statistical methods to understand risks in the context of insurance and finance.

**environmental and ecological statistics** group focuses on developing and applying statistical methods in ecology and environmental sciences.

**Probabilistic Inference Lab** (PIL) specializes in probabilistic inference, AI and machine learning, with particular focus on simulator-based methods and their applications.

**robust statistics and time series analysis** group focuses on estimation as well as in-sample and out-of-sample diagnostic methods for statistical models. Those include for example regression models and time series models.

**statistical and population genetics** group studies computational and statistical methods applied to genetics research. The two main topics are multivariate models for associating quantitative / discrete / survival outcomes to genomic data and population genetics in Finland.

**survival and event history analysis **specializes in study design and methods needed for life event histories under various observation schemes.