Kinetic Theory, Statistical mechanics, Analysis of PDEs, Quantum Mechanics.
My research is focused in the field of kinetic theory of gases and plasmas. I am deeply fascinated by the beauty of problems which naturally arise from physics and can be studied and analyzed with a rigorous mathematical approach. Some of the projects I am working on concern
rigorous derivation of effective evolution equations (Boltzmann equation, Landau equation) from deterministic or stochastic particle systems with a main focus on the long-range interactions
analysis of the long-time asymptotics of the solutions for classical and quantum kinetic equations with a main focus on the dynamics of gases in open systems
rigorous derivation and analysis of kinetic equations arising from problems of particle aggregation (Smoluchowski coagulation equation)