Our research focuses on mathematical physics. In particular, we are interested in the rigorous understanding of macroscopic properties of many-body quantum systems from first principles. This task leads naturally to several interesting and challenging problems in mathematics, touching up on several areas, including functional analysis, spectral theory, calculus of variations and nonlinear partial differential equations. Our aim is to address in depth these mathematical problems and, as a consequence, gain new insights in physics and chemistry.
More concretely, we are working on excitation spectrum of Bose gases, semiclassical behavior of Fermi gases, and periodic aspects of atoms and molecules.
For more details please see our publications.