Directory
About the Unit
The UMPA (Unit of Pure and Applied Mathematics) is the Mathematics department of the École normale supérieure de Lyon, as well as a research laboratory of CNRS and INRIA.
The department currently has about 80 members, including faculties, postdocs, and visitors, working on major fields of pure and applied mathematics: Geometry, Groups, and Dynamics; Analysis and Modeling; Probability and Statistics; Number Theory. Read more
- News
- Jul 04, 2025 La soutenance aura lieu le mardi 8 juillet à 13h30 en salle des thèses à l'ENS, Titre : "Cartes e (...)
- Jul 04, 2025 La soutenance aura lieu le mercredi 9 juillet à 14h en Amphi A, titre : "Motifs de Nori relatifs et (...)
- Jun 24, 2025 L’Unité de Mathématiques Pures et Appliquées (UMPA) recrute un gestionnaire administratif et fi (...)
- Forthcoming seminars
- Research areas
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PDE and ModellingThis team studies PDE from the theoretical and numerical viewpoints, for applications to Physics and Life Sciences. Read more
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Geometry, Groups, and DynamicsThe concept of geometry evolved in the past two centuries, since the discovery of non-Euclidean and Riemannian geometries. Such geometries underwent a revolution with the work of Gromov and Thurston. Several members of the UMPA (...) Read more
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Number TheoryThe research subjects of the members of the Number Theory group are in the domain of arithmetic geometry, going from number theory to algebraic geometry. Read more
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Probability theoryThe Probability Group investigates various topics such as: free probability, random graphs, random matrices, random media, stochastic partial differential equations. Read more