Presentation of the laboratory

LAGA is a laboratory associated with the CNRS (UMR 7539). It is attached to the Institut Galilée, part of the Sorbonne Paris Nord University, and to the University of Paris 8. LAGA is also associated with several LaBeX: SMP, INFLAMEX and MME-DII.

It includes around 90 researchers and teacher-researchers (including around ten CNRS researchers), 7 ITA and BIATSS staff, more than 50 doctoral students and it receives more than thirty foreign visitors and post-docs each year.

The main research themes currently being developed within the laboratory are as follows:
Arithmetic, algebraic geometry, number theory, category theory, algebraic topology, homotopy theory, representation theory, dynamical systems, ergodic theory, harmonic analysis, linear and nonlinear partial differential equations, microlocal analysis, mathematical physics, spectral theory, numerical analysis, probability and statistics, stochastic analysis, coding and cryptography, image processing.

The laboratory, headed by Grégory Ginot, is structured into eight research teams:

• • Arithmétique et géométrie algébrique (AGA)
  • Algèbre, Géométrie, Combinatoire et applications à la Cryptographie et au Codage (AGC3)
  • Modélisation et Calcul scientifique (MCS)
  • Physique mathématique et Équations aux dérivées partielles (PM)
  • Mathématiques pour la Biologie et les Images (MBI)
  • Probabilités et Statistiques (PS)
  • Théorie ergodique et Systèmes dynamiques (SD)
  • Topologie Algébrique (TA)

The scientific activity of the laboratory is notably concretized by permanent or episodic seminars, as well as by the existence of the Mathematics Library. Finally, the laboratory aims to offer solid supervision to doctoral students from the Masters of the mathematics department of the University of Paris 13, other Masters of mathematics from the Paris region or the provinces, and possibly similar training abroad.

Last (pre)publications

• Séverin Benzoni, Emmanuel Roy, Thierry de la Rue. Confined Poisson extensions. Discrete and Continuous Dynamical Systems - Series A, 2026, 46, pp.433-453. (10.3934/dcds.2025106⟩. ⟨hal-04511868v2⟩
• Loïc Balazi, Grégoire Allaire, Pascal Omnes. Convergence analysis of a high-order Multi-scale Finite Element Method (MsFEM) for Stokes flows in heterogeneous media. 2025. (hal-05198860⟩
• Mohamed Ali Hamza, Hatem Zaag. A better bound on blow-up rate for the superconformal semilinear wave equation. Journal of Functional Analysis, 2025, 288 (11), pp.110862. (10.1016/j.jfa.2025.110862⟩. ⟨hal-04797950⟩
• Martino Borello, Wolfgang Schmid, Martin Scotti. The geometry of intersecting codes and applications to additive combinatorics and factorization theory. Journal of Combinatorial Theory, Series A, In press, 214, pp.106023. (10.1016/j.jcta.2025.106023⟩. ⟨hal-04896981⟩
• Loth Damagui Chabi. Refined blow-up behavior for reaction-diffusion equations with non scale invariant exponential nonlinearities. 2025. (hal-04949440v2⟩

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