The research center in Geometry, Physics and Probability (GPP) regroups researchers active in various areas of mathematics and mathematical physics which do not belong to the traditional subdomains of pure mathematics.

The research group in Geometry and mathematical physics studies non-commutative geometry, mathematical physics, the theory of symmetric spaces and harmonic analysis.

In Integrable systems, random matrices, complex geometry and analysis, the group works on problems in random matrix theory and integrable systems. These areas are related to complex analysis, complex geometry and probability.

The research in Statistical mechanics and conformal theories is concentrated around conformal field theory and exactly solvable models in statistical mechanics.

The center enjoys important external funding.

It coordinates the InterUniversity Attraction Pole DYGEST “Dynamics, Geometry and Statistical Physics” financed by the Belgian Science Policy, which regroups researchers from UCL, ULB, KULeuven and ULg in collaboration with international partners from Radboud University Nijmegen, University of Luxemburg, Instituto Nacional de Mathematica Pura e Aplicada (Rio de Janeiro) and Université de Paris Dauphine. It also benefits from an ERC Starting Grant CRaMIS “Critical phenomena in Random Matrix Theory and Integrable Systems”.