Nicolas Burq

Nicolas Burq is a Professor in the Department of Mathematics at Paris-Saclay University, France. His research focuses on partial differential equations (PDEs), particularly dispersive equations like the Schrödinger and wave equations, with an emphasis on geometric and probabilistic influences on their solutions. He leads the ERC GEOEDP project, which investigates how inhomogeneities and boundaries affect concentration/displacement in PDEs and seeks to establish generic behavior via random data Cauchy theories.

• Research areas: Dispersive PDEs, Control Theory, Microlocal/Harmonic Analysis, Probabilistic Methods
• Current projects: ERC GEOEDP (2024–2026) with openings for PhD and postdoctoral positions

His work combines semiclassical analysis with probabilistic techniques to address instability and rare pathologies in nonlinear PDEs. Publications span scattering theory, control theory, water waves, and quantum chaos. Recent articles highlight applications to compressed sensing, stabilization on tori, and energy decay in unbounded domains.

• Key trends: Geometric control, random initial data, Strichartz estimates, eigenfunction localization