My research interests are in the field of dispersive equations. In particular, I am interested in the study of
dispersive estimates for Dirac and Schrödinger equations with critical potentials or in not-flat background,
long time behaviour of nonlinear systems.
Publications and preprints
Generalized Strichartz estimates for the massive Dirac equation with critical potentials, with Federico Cacciafesta and Eric Séré, preprint (2025).
Stability of homogeneous equilibria of the Hartree-Fock equation, for its equivalent formulation for random fields, with Charles Collot, Anne-Sophie de Suzzoni, Cyril Malézé, Prob. and Math. Phys. 6, 1 (2025).
Strichartz estimates for the 2D and 3D massless Dirac-Coulomb equations and applications, J. Funct. Anal. 286 (2024).
Strichartz estimates for the half wave/Klein–Gordon and Dirac equations on compact manifolds without boundary , with Federico Cacciafesta and Long Meng, Math. Ann. 389 (2024) pp. 3009-3042.