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headshot of Robert Bieri

Robert Bieri

Visiting Professor

Department of Mathematics and Statistics

Background

Robert Bieri's original interest in homological methods for infinite groups (cohomological dimension and Poincare type duality) shifted towards geometric and

— more recently — asymptotic methods. He relates 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 familiar groups such as metabelian, soluble, free and linear, or fundamental groups of 3-manifolds. He also met Thompson's group F and other PL-homeomorphism groups on the way and had an encounter with tropical geometry.

Education

  • PhD, Swiss Federal Institute of Technology

Research Interests

  • Geometric, homological, combinatorial and asymptotic methods in group theory