Directory
- 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
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 (...)
- Sep 22, 2025 La Conférence CARE se tiendra à l'ENS Lyon du 27 octobre au 31 octobre 2025.
- Forthcoming seminars