Mathematics is the language of technology and natural science, and an important part of our cultural heritage. It develops continually, and extensive research effort goes into both theoretical and applied mathematics.

Research groups

Algebra

Research activity is mostly oriented towards theoretical studies of algebraic questions, but they also work on more applied topics related to cryptography.

Analysis

The group's research covers harmonic analysis and complex analysis in one and several variables; applications to geometry, PDEs, and number theory; operator algebras and noncommutative geometry.

Differential equations and numerical analysis (DNA)

The DNA group does research and education in pure and applied mathematics, with a special focus on theory and numerics for differential equations and optimisation problems.

Geometry & topology

The research in geometry and topology spans problems ranging from fundamental curiosity-driven research on the structure of abstract spaces to computational methods for a broad range of practical issues such as the analysis of the shapes of big data sets.

Didactics of mathematics

The research area entails empirical research on teaching and learning of mathematics, in higher education as well as in school. Research activities include algebraic thinking, task design, instructional design, and teaching practices in mathematics. There is also on-going research on transition from school to higher education, as well as on developing mathematics and statistics teaching at higher education.

Statistics

Research activity includes computational statistics, extreme value theory, design of experiments, reliability analysis, spatial statistics, theoretical statistics, functional genomics, and stochastic and statistical modelling in ecology, evolution and conservation biology.