Quantum chaos, semiclassical limit of quantum mechanics. Dissipation and decoherence.
Most of my research deals with the dynamics generated by chaotic maps or flows, together with their quantizations.
I co-organized a Quantum Chaos Summer School at the Erwin Schrödinger Institute in August 2012.
Lectures on Spectral theory of damped quantum chaotic systems I gave in June 2011.
Lectures on the Theory of dynamical systems I gave in 2009.
I am currently editor of Nonlinearity.
I am co-coordinator of the Groupe De Recherche (Research group) Quantum Dynamics, and member of the research project Spectral methods in classical and quantum chaos funded by the Agence National de la Recherche.