"I am a probabilist, whose interest is both theoretical in nature, as well as aimed towards applications of probability theory in other areas of research. In particular, I combine probability theory with the fields of differential geometry and graph theory.
The main focus of my research is on the behaviour of stochastic processes, more specifically random walks and diffusions, in manifolds. Defining such processes is already not straightforward, which complicates their analysis. In particular, I am interested in the asymptotic behaviour of these processes, considering both central limit type problems as well as large deviations. I have also worked on these topics in a setting of evolving manifolds, of which the Ricci-flow is arguably the most well-known example.
Furthermore, during my Post-Doc at Utrecht University, I have worked on random graph models with spatial (i.e. geometric) constraints. One topic I would like to investigate is the usefulness of these geometric graphs in Riemannian manifolds, especially for using them as approximating grids on which we can define stochastic processes such as interacting particle systems."