Research Groups

The research group Algebra studies group theory, non-associative algebraic structures, and related geometric objects. This includes:

• structurable algebras, linear algebraic groups and related structures in geometry and group theory;
• finite groups, axial algebras and decomposition algebras;
• totally disconnected locally compact groups;
• high-dimensional expanders.

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.