Group Theory

Our research is centered on different combinatorial, geometric, and algebraic properties of finite and infinite groups. Particular emphasis is placed on Asymptotic Group Theory (e.g. L2 invariants, growth functions), Geometric Group Theory (e.g. nonpositively curved groups, mapping class groups), Profinite Groups, and Representation Theory.

We have a number of graduate students and postdoctoral fellows working in several aspects of the above topics.

We run a weekly research seminar which features national and international speakers. In the Spring semester of 2017/2018, the group will organize the international thematic program on "L2 invariants and their analogues in positive characteristic" (ICMAT, February-June 2018).

The group maintains close collaboration with other researchers, both national and international (in particular France, Italy, Israel, UK, USA, etc).




Postgraduate Students:

Master Students:

  • Sergio Domingo
  • Pablo Sánchez

Group activities: