Welcome to my homepage! I am a University lecturer in the
Areas of interest
My research interests are in the field of probability theory. I particularly like to study those problems that are natural from a mathematical point of view but are in fact also motivated by questions in biology or physics.
In my thesis work I have studied phase transition phenomena for the norm of random walks on graphs. In particular, I have shown how this question relates in many important cases to the theory of random graphs and to stochastic processes of coalescence and fragmentation. This question is also intimately connected to some problem in genome rearrangement, which has to do with trying to estimate the divergence time of two species given their genome.
More recently I have become interested in trying to understand better the profound relations between coalescent processes, fragmentations, random processes related to Brownian motion, and continuous random trees. Some of this research also applies to population genetics since coalescent processes are widely used to model the merging of ancestral lines.
