Research Groups

  • The research group Incidence Geometry studies incidence structures, Galois geometry and coding theory, with current research topics: polar spaces, generalised polygons, near polygons, buildings, partial geometries and their generalisations, projective embeddings and non-abelian representations of geometries, special subsets in Galois spaces with their translations in terms of codes and links to cryptography.

  • The research group Algebra studies number theory, algebraic geometry, permutation groups and linear algebraic groups. Current research in number theory and algebraic geometry is focused on quadratic forms and division algebras over local function fields, and decision problems concerning the existential theory of function fields; the geometrical aspect encompasses special divisors on smooth curves, Weierstrass points, linear systems on blowing-ups and Grassmann defectivity. Research in group theory is focused on the study of Moufang sets and its connection with Jordan algebras and other algebraic structures related to linear algebraic groups.