Eduardo Silva

I am a postdoctoral researcher at the Institut für Mathematische Stochastik at the University of Münster (Germany), under the mentorship of David Kerr and Chiranjib Mukherjee. I did my PhD at the Département de Mathématiques et Applications (DMA) of École Normale Supérieure (Paris, France), under the direction of Anna Erschler.

I am currently on the job market.



I am interested in applications of probabilistic tools to group theory, and in how measurable dynamics can help us understand algebraic and geometric properties of groups. One of my main focuses is studying the asymptotic behavior of random walks on countable groups, particularly the identification of their Poisson boundaries. In relation to this, I am also interested in entropy, both for random walks and dynamical systems. I am also working on stationary dynamics, especially its applications to the study of C*-simplicity and its connections with operator algebras. Another part of my work concerns cost and sofic dimension, particularly in the setting of sofic groups. I am interested in how these invariants relate to ℓ2-homology, and in how finite approximations of groups and their actions can be used to study them.