The Paul Painlevé Laboratory

LPP | UMR 8524
Mathematics and computer science Research unit Numeric for human

Our research covers virtually the entire spectrum of fundamental and applied mathematics. Our main topics include geometric analysis, functional analysis, numerical analysis, theory of partial differential equations, geometry, topology, arithmetic, mathematical physics, random matrix theory, probability and statistics in the broad sense, and statistical learning. Our laboratory is structured in five teams: Analysis (Ana), Numerical Analysis and Partial Differential Equations (AN-EDP), Arithmetic and Algebraic Geometry (AGA), Geometry and Topology (GT) and Probability and Statistics (PS). We also have three joint project teams with Inria, Modal, Paradyse and Rapsodi.

Informations

Director: Benoît Fresse

https://math.univ-lille.fr

Bâtiment M2, Avenue Carl Gauss
Campus Cité scientifique
59655 VILLENEUVE D’ASCQ

Mots-clés

Mathematical analysis, Numerical analysis, Partial differential equations, Arithmetic, Algebraic geometry, Topology geometry, Probability, Statistics

Localisation

  • Algebraic geometry
  • Topology
  • Singular complex spaces in geometry
  • Statistics
  • Functional analysis
  • Numerical analysis
  • Complex analysis
  • Random matrices in probability
  • Dynamical systems
  • Representation theory
  • Nonlinear dynamics
  • Quantum chaos
  • Nonlinear optics
  • Probabilistic modeling
  • Statistical modeling

Examples of projects:

  • Development of statistical models for data analysis and prediction
  • Predictive models for large and biased data.
  • Supervised and unsupervised classification in the presence of time-varying descriptors
  • Treatment of missing data
  • Spatial statistics
  • Artificial intelligence for video games
  • Optimization
  • PDE analysis, application to fluid mechanics, inverse problems
  • Numerical analysis
  • Numerical methods and scientific computing

We have a research library in mathematics (B2RM) and computer equipment (calculation, networks, data, virtualization).

Academic
Fields Institute (Canada), University of Bristol (UK), University of Aberdeen (UK), University of Leuven (Belgium), University of Louvain-la-Neuve (Belgium), Max-Planck Institute (Germany), SISSA (Italy)

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