I am a PhD student in the Cluster of Excellence "Mathematics Münster" at Universität Münster under the supervision of David Kerr. I completed my MSc and BSc studies at PUC Chile.

I am interested in discrete groups and semigroups, particularly in studying their asymptotic properties and invariants, and their connections with ergodic theory, probability and functional analysis. The following is a list of topics I am very interested in.

• Measured group theory, e.g. the first l^2-Betti number, cost and sofic dimension of groups and their p.m.p. actions.
• Asymptotic invariants of finitely generated residually finite groups, such as the rank gradient and homology gradients.
• Convex analysis of the simplex of invariant probability measures of group and monoid actions, including Bauer/Poulsen-like dichotomies, approximations by finitely supported measures, etc.
• Rings and algebras associated with groups and semigroups, particularly the ℓ^1-algebra and C*-algebraic constructions for semigroups.