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 defended my thesis on May 28 2024.
I am currently working on geometric group theory and random walks on (countable) groups. One of my main focuses is studying the long scale behavior of random walks on amenable groups (e.g. wreath products or locally-finite-by-cyclic groups). In this direction, I am particularly interested in the identification of the Poisson boundary of a random walk, or equivalently, the description of bounded μ-harmonic functions on the group. In relation to this, I am also interested in entropy (of random walks, dynamical systems, etc...). Additionally, I have worked in geometric properties of Cayley graphs of finitely generated groups 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). Other topics I am interested on are percolation on (non-abelian) groups, ergodic theory, and symbolic dynamics.