Lucas Broux

Lucas Broux is a Research Fellow at the Max Planck Institute for Mathematics in the Sciences in Leipzig, working within Prof. Felix Otto's research group since November 2022. His role centers on advanced mathematical research in stochastic analysis and theoretical physics.

He earned his PhD from Sorbonne Université in Paris under the joint supervision of Prof. Lorenzo Zambotti and Prof. Cyril Labbé. His scholarly focus lies at the intersection of Rough Paths Theory and Regularity Structures, specializing in the renormalisation of singular stochastic partial differential equations (SPDEs). These highly irregular equations—with applications spanning fluid dynamics, quantum field theory, and statistical mechanics—require innovative mathematical frameworks to handle their pathological random forcing terms.

Broux actively contributes to the institute's research thrusts in pattern formation and scaling laws. His work exemplifies cross-disciplinary mathematical physics, bridging abstract theory with physical phenomena through rigorous stochastic analysis. Though no formal advising or grant activities are documented in the source text, his research group affiliation underscores collaborative engagement with cutting-edge mathematical challenges.