Eduardo Silva

I am a third-year PhD student at Département de Mathématiques et Applications (DMA) of École Normale Supérieure (Paris, France). My advisor is Anna Erschler.
I defended my thesis on May 28 2024.

In October 2024 I will start a postdoctoral position at Münster Mathematics.


My main interest is geometric group theory, and more precisely geometric properties of Cayley graphs of finitely generated groups. I have studied properties that depend on the choice of generating set, as for example the growth series of a group, or the depth properties of a Cayley graph (= study of dead ends). I am also interested on random walks on groups and in understanding geometric information of a group in terms of the long scale behavior of random walks on it. I am particularly interested in the problem of identifying the Poisson boundary of a random walk, notably of locally-finite-by-cyclic groups. In the past I have also worked on symbolic dynamics on groups.