Welcome to the website of the GAPCOMB research group at UPC

The group Geometric, Algebraic and Probabilistic Combinatorics studies problems arising in discrete mathematics, combinatorial group theory, finite geometry and discrete random structures, and their interactions. Current projects involve several aspects of discrete structures, such as convex polytopes, finite geometries, matroids, random graphs, free groups, finite model theory, planar maps and additive combinatorics, among other topics.

All the members of our research team are members of the Department of Mathematics of Universitat Politècnica de Catalunya. Several of them are also affiliated with the UPC Institute of Mathematics (IMTech), the Centre de Recerca Matemàtica (CRM), and the Barcelona Graduate School of Mathematics (BGSMath).