My primary area of research is combinatorial group theory, and my favorite themes are Coxeter groups, reflections groups and their related structures. My research program sits at the interface of algebraic and geometric combinatorics.
Among others, I am particularly interested in studying :
- root systems (finites or infinites);
- combinatorics of Coxeter groups
- generalized associahedra and permutahedra;
- descent algebras;
- combinatorial Hopf algebras.