My research is about tilings, and in particular the links between symbolic dynamical systems (tilings of \(\mathbb{Z}^{d}\) or of discrete groups, cellular automata …) and/or computability theory and group theory. More precisely:

• Developing a combinatorial approach for the study of the algebraic topology of tilings: projective fundamental groups, fundamental cocycles, cohomology of Hom shifts.
• Studying computability restrictions on some conjugacy invariants: entropies of various kinds, periodic points …
• Studying self-similar and substitutive tilings on discrete structures: groups, graphs, complexes …

List of publications available here.