My original interest in homological methods for infinite groups (cohomological dimension and Poincare type duality) shifted towards geometric and – more recently – asymptotic methods. I find it interesting to relate geometric properties at infinity of groups and G-spaces with algebraic properties of these groups, their group rings and their modules. The focus is on familar groups like metabelian, soluble, free and linear ones, or fundamental groups of 3-manifolds, but I also met Thompson's group F and other PL-homeomorphism groups on the way, and had an encounter with tropical geometry.
- PhD, Swiss Federal Institute of Technology
- Geometric, homological, combinatorial and asymptotic methods in group theory