Research
Mathematical research in the fields of probability theory and stochastic analysis. Particular interests include:
Functional inequalities (logarithmic Sobolev inequalities, concentration inequalities, spectral inequalities, isoperimetric inequalities, sub-elliptic settings);
Stochastic differential equations (McKean-Vlasov equations, exit times, numerical schemes, error analysis);
Interacting particle systems (long-time behaviour, propagation of chaos, degenerate systems);
Stochastic models in neuroscience (behaviour of networks of neurons, mean-field equations).