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
- Oct 21, 2025 Postdoctoral position in machine learning
- Oct 21, 2025 La soutenance d'HDR intitulée "Structure des facteurs de type III1" est prévue le mercredi 5 novem (...)
- Oct 03, 2025 La semaine du 17 au 21 novembre 2025, l'UMPA accueillera des stagiaires de troisième dans le cadre (...)
- 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