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Welcome to the website of the GAPCOMB research group

We aim to study problems arising in discrete mathematics, combinatorial group theory, finite geometry and discrete random structures, and its interaction.

Geometric CombinatoricsAlgebraic CombinatoricsProbabilistic combinatorics

 




 Problems with an strong geometric flavour:

 

- Geometric Group Theory                                                                             

- Finite geometries

 

- Planar maps and discrete models of surfaces

 

- Polytope theory and high dimensional geometry                           

                                                                                                                                                                     

We use combinatorial tools in:

 

- Matroid theory and its interaction with Graph Theory  

 

- Group theory

 

- Discrete geometry and coding theory                                                                                                                            

Use of probabilistic techniques:

 

- Random graphs and random graph processes


- Additive and Extremal combinatorics


- Analytic combinatorics of topological graphs