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

• Henry de Thelin, Tien-Cuong Dinh, Lucas Kaufmann. Exponential equidistribution of periodic points for endomorphisms of $\mathbb P^k$. 2025. (hal-04719417v2⟩
• Kamil Merito, Oscar Ordaz, Wolfgang Schmid. The set of minimal distances of the monoid of plus-minus weighted zero-sum sequences and applications to the characterization problem. 2025. (hal-05115443⟩
• Senhao Duan, Nejla Nouaili, Hatem Zaag. Standing-sphere blowup solutions for the nonlinear heat equation. Discrete and Continuous Dynamical Systems - Series A, 2025, 45 (5), pp.1434-1453. (10.3934/dcds.2024134⟩. ⟨hal-04609030⟩
• Christophe Breuil, Florian Herzig, Yongquan Hu, Stefano Morra, Benjamin Schraen. Multivariable $(\varphi, \mathcal{O}_K^\times)$-modules and local-global compatibility. Mathematische Annalen, 2025, 392 (2), pp.2709-2801. (10.1007/s00208-025-03157-y⟩. ⟨hal-03840843⟩
• 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⟩

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