Welcome to the common homepage of the research groups of **Barbara Baumeister**, **Kai-Uwe Bux** and **Christopher Voll**. Here you can find information about the members of our group as well as joint activites, conferences and workshops we organise and courses that we offer.

We are supported by and members of:

Finite group theory, permutation groups. Reflection groups, Coxeter groups and generalisations. Artin groups.

Coxeter Groups, Artin Groups, Garside structures, Complex Reflection Groups, Complex Braid Groups, Hecke Algebras

Coxeter Groups, Extended Weyl Groups, Representation theory of finite dimensional algebras.

Geometric group theory, finiteness properties of groups, arithmetic groups, Thompson's groups.

Geometric group theory, group rings.

Geometric group theory, finiteness properties of groups, lattices, simple groups.

Geometric group theory, \( \operatorname{Out}(F_n) \), right-angled Artin groups, poset topology.

Geometric group theory, arc matching complexes.

Combinatorial and geometric group theory, \( \operatorname{Out}(F_n) \) and (automorphisms of) right-angled Artin groups.

Asymptotic group theory, algebraic combinatorics, enumerative problems.

Asymptotic group theory, computational algebra.

Algebraic groups, finite groups of Lie type, representation theory, computational algebra, geometric invariant theory.