Martin Mion-Mouton

Martin Mion-Mouton is a researcher in Mathematics at the Max Planck Institute for Mathematics in the Sciences (Leipzig), working in Anna Wienhard's 'Geometry, Groups, and Dynamics' research group. He holds a PhD from the University of Strasbourg (2020) under Charles Frances. Previous roles include a postdoctoral fellowship at the Technion (2021–2023) and an ATER position (temporary teaching/research) at Strasbourg University (2021). His research focuses on geometric structures interacting with dynamical systems, emphasizing rigidity phenomena and their implications for geometry and dynamics.

Key research areas include rigid geometric structures, parabolic Cartan geometries, flag structures in 3D, partially hyperbolic diffeomorphisms, Anosov flows, singular Lorentzian surfaces, and homographic interval exchange maps. His work bridges differential geometry and dynamical systems, with contributions to geometric compactifications, path structures, and classification of homogeneous structures. Recent activities include talks at the Institute of Mathematics of Toulouse, Jussieu, and conferences on complex hyperbolic geometry and ergodic theory.

He has supervised a master’s student (Justin Rieber, 2021) and engaged in outreach, including collaborations with French schools. His academic network spans institutions in France, Germany, Israel, and Brazil. Notable publications include studies on lightlike bi-foliation rigidity, flag structure surgeries, and automorphism group classifications in path geometries.