The GAPCOMB team is granted the project COCOA, with PIs Simeon Ball and Guillem Perarnau.

The project COCOA: Contemporary Combinatorics and its Applications has been granted within the 2023 Call of the Proyectos de Generación del conocimiento. Simeon Ball and Guillem Perarnau will act as principals investigators of the grants, while the research team is formed by Anna de Mier, Richard Lang, Marc Noy, Clement Requile, Juanjo Rué, Oriol Serra and Lluís Vena. The 3-year grant will fund cutting-edge research in the area of Geometric, Algebraic and Probabilistic Combinatorics. There is a 4-year predoctoral grant associated to the project.

Summary:
Combinatorics is a broad discipline in the forefront of modern mathematics extending its influence across many other scientific fields. This proposal explores a wide variety of its applications, both of purely mathematical nature and delving into the realm of complex systems such as the world-wide web, sociology, telecommunication, and quantum computation. Approaches to combinatorial problems are inherently diverse, encompassing algebraic, analytic, geometric and probabilistic tools. The combined expertise of the team in these methods is the identity mark of our research group and will allow us to address open problems and new trends in the area. Given its broad spectrum, the project will be led by two principal investigators with complementary expertises.