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 ...

Gauge theories form the backbone of modern theoretical physics, underpinning the Standard Model and many approaches to quantum gravity. Traditionally, these theories utilise continuous symmetries and ...