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