My principal domain of research is probability theory, with a particular accent on statistical physics models. More specifically I investigated random interface models such as the Gaussian free field (extremes, entropic repulsion, level set percolation).
I have also worked on random motion in random media, focusing especially on the random conductance model and on diffusions in divergence form with degenerate and unbounded coefficients.
These topics, apparently far from each other, are in fact intimately connected and share a set of probabilistic and analytical techniques: ranging from potential theory and the theory of Dirichlet forms to the study of PDEs of the second order and homogenization problems.
For a more detailed overview have a look at my research statement