C. Huybrechts
Reduction of diagram geometries over Coxeter diagams extended by linear spaces (joint with A. Pasini and F. Buekenhout). Characterisation of the permutahedron (joint with J.P. Doignon).
S. Lehman
Characterizations of point-line spaces of buildings and diagram geometries.
Ph. Masson
Recognition and study of Kac-Moody groups over rings . Representations of the loop group of SU(2) at level two. Alexandrov geometry (joint with Buekenhout).
F. Buekenhout
Alexandrov Geometry ( joint with Ph.Masson). The flag-transitive geometries of small simple groups and primitive groups (joint with M. Dehon, Ph. Cara, D. Leemans). The small symmetric graphs (joint with J. Brocas, M. Dehon). Diagram geometries with linear spaces as rank two residues. (joint with C. Huybrechts).
D. Leemans
Study of coset geometries satisfying various conditions under the group action in particular for small groups and for the Suzuki groups.
H. Gottschalk
The classification of all flag-transitive geometries associated with
the group 
fulfilling various primitivity conditions.
M. Dehon
The flag-transitive geometries of small simple groups and primitive groups (joint with F.Buekenhout, Ph. Cara, D. Leemans). The small symmetric graphs (joint with J. Brocas, F. Buekenhout).
Ph. Cara
Study of coset geometries satisfying various conditions under the group action in particular for small groups and, in general, for the Symmetric groups.
J.-P. Doignon
Study of ordered sets and generalizations: valuated relations, semi-orders, Galois lattices, etc. Applications to the modelisation of preferences in the context of multicriteria decision, the geometric modelisation of data analysis and the corresponding algorithms and automated procedures for knowledge assessment.
M. Codutti
Research on computer algebra about the resolution of ordinary differential equations in view to improve on existing packages.
J. Sengier
In the context of CATHODE and computer algebra, study of systems of differential equations and of partial derivatives met in various domains of physics. The goal is to reduce these equations thanks to the methods of the group CATHODE especially the programme NODES.