Since October 2010, I am a CNRS research scientist in IRIF (ex LIAFA).
My main areas of research are enumerative combinatorics, random discrete structures, and algebraic combinatorics.
I am particularly
interested in the properties of maps (which are graphs embedded on
surfaces), and related combinatorial or algebraic objects (such as trees, graphs, Tamari intervals, or reflection groups).
Combinatorics and Interactions — combi17, a trimester dedicated to Combinatorics in Paris in 2017!
A previous manuscript, entitled Tamari lattices and parking functions: proof of a conjecture of F. Bergeron and never submitted (since it was soon superseded by this one) is available there:
(previous-manuscript-arxiv).
It contains only the results on the dimension/enumeration, not the full representation, and it may be a more accessible, less technical, introduction to our method.
Combinatorics, Probability, and Computing 18(04):477-516 (2009), 40 pages
(pdf file)
a related, less general, conference paper Are even maps on surfaces likely to be bipartite?
appeared in the proceedings of
MathInfo'08. It presents the results in the even degree case.
(short version)