Karine Beauchard is a University Professor in the Department of Mathematics at École normale supérieure de Rennes (ENS Rennes), France. Her research focuses on the mathematical analysis and control of partial differential equations with applications to quantum systems and other physical phenomena. Her primary research interests include: Analysis and control of partial differential equations Interaction between geometry (Lie brackets) and analysis in control theory Bilinear control and quantum control (exact/approximate controllability, feedback stabilization of Schrödinger and Bloch equations) Control of degenerate parabolic equations of hypoelliptic type (Grushin, Heisenberg, Kolmogorov, Ornstein-Uhlenbeck) Inverse problems and asymptotic observers Professor Beauchard's research output shows a strong focus on controllability properties of various partial differential equations, particularly examining the minimal time requirements, geometric conditions, and quadratic obstructions to controllability. Her work bridges pure mathematical analysis with applications in quantum physics and engineering systems. Professor Beauchard completed her PhD in 2005 at Université d'Orsay with a thesis on the controllability and stabilization of the Schrödinger equation, supervised by Jean-Michel Coron. She obtained her HDR (Habilitation à Diriger des Recherches) in 2010 at ENS Cachan on the analysis and control of partial differential equations. She has published 44 papers spanning from 2005 to 2025, with recent work focusing on small-time controllability of Schrödinger equations, obstructions to controllability, and control of hypoelliptic equations. Her publications appear in prestigious journals including Annales de l'Institut Henri Poincaré, Journal of Differential Equations, and SIAM Journal on Control and Optimization. Professor Beauchard has collaborated with numerous researchers including F. Marbach, E. Pozzoli, P. Cannarsa, and J.-M. Coron, demonstrating her active engagement in the mathematical community. Her work has contributed significantly to the theoretical foundations of control theory for partial differential equations.

