GROUP THEORY

Our research revolves around combinatorial, geometric, and algebraic properties of finite and infinite groups, often viewed through the spaces upon which they act. As such, we are framed within IMCAT's "Algebra and Geometry" research group. Some of our particular research lines include: asymptotic, combinatorial and geometric group theory; groups acting on trees; profinite groups; Artin-Tits groups; mapping class groups; order able groups, and representation theory. The group hosts several early-career researchers (Ayudante Doctor and postdocs) as well as several graduate students. Since 2021, our group coordinates the newly-established "Agol Lab", funded by the Severo Ochoa programme. In addition, we run a weekly research seminar with national and international speakers. The group organizes the yearly conference Groups in Madrid since 2016. The group maintains intense research collaboration with other national and international institutions) (France, Germany, UK, USA)