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 ...

Selected Projects • EXC 2044 - B3: Operator algebras & mathematical physics The development of operator algebras was largely motivated by physics since they provide the right mathematical framework ...

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, ...