- 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
- Mar 10, 2025 Une conférence dédiée aux aspects arithmétiques et géométriques des espaces localement symétr (...)
- Mar 07, 2025 La conférence Lyon - Tokyo en théorie des nombres et géométrie arithmétique, qui aura lieu à l (...)
- Feb 18, 2025 La soutenance aura lieu ce vendredi, 21 février 2025, à 14h00 en salle de thèse (ENS Lyon, site M (...)
- Feb 12, 2025 We are offering a postdoctoral fellowship at ENS Lyon in the field of machine learning. The position (...)
- Forthcoming seminars