Commutative algebra and algebraic geometry form a deeply interwoven field that investigates the structure of polynomial rings, their ideals, and the geometric objects defined by these algebraic sets.

Our work group represents the fields of operator algebras and noncommutative geometry in teaching and research. The current focus of our research is structure of C * algebras and more general ...

In operator algebras we are particularly interested in $\mathsf{C}^*$-algebra theory and its connections to other areas such as dynamical systems, group theory, topology, non-commutative geometry, and ...

Representation theory with a quantum group flavour; non-commutative geometry and some functional analysis and operator algebras; category theory; some algebraic geometry, mostly foundational issues, ...