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Harmonic and Geometric Analysis

We focus mostly on the geometric and analytic study of Riemannian and Lorentzian symmetric spaces. Among our main research directions are:

  • harmonic analysis on geometrically finite groups, including scattering theory and trace formulas,
  • the structure of pseudo-Riemannian symmetric spaces,
  • the geometry of 3-dimensional hyperbolic and anti-de Sitter manifolds,
  • the relations between 3-dimensional geometry and Teichmüller theory,
  • discrete and polyhedral geometry in relation with constant curvature spaces.

Author: David Dumas