The team of algebraic topolgy has expertise and interests in rational homotopy theory, Goodwillie-Weiss manifold calculus, categorification of quantum invariants (Khovanov homology and Khovanov-Rozansky homology), higher representation theory and its applications to low-dimensional topology.

Our research focuses on categorical algebra: more specifically we develop some new aspects of category theory also useful in

The differential equations and calculus of variations is at the heart of the research carried out within the analysis team which develop new methods, notably topological or variational, to prove the existence of solutions, to study the spaces of functions appearing in partial differential equations, to obtain new functional inequalities and to

We are interested in the algebraic structure of infinite groups, possibly endowed with a non-discrete topology. The groups under study often act naturally actions on some geometric space. In addition to the classical framework of Lie groups, semi-simple algebraic groups and their discrete subgroups, generalizations are considered, notably to the

Team members

Christiane HAUCHART

Cosmology and general relativity - CP3 center Cosmology, Universe and Relativity at Louvain - CURL team