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Research

Beginning with the outside influences, it can be said that the recent development of combinatorics is somewhat of a cinderella story. It used to be looked down on by “mainstream” mathematicians as being somehow less respectable than other areas, in spite of many services rendered to both pure and applied mathematics. Then along came the prince of computer science with its many mathematical problems and needs — and it was combinatorics that best fitted the glass slipper held out.

A. Björner and R. Stanley, A Combinatorial Miscellany, 2010.

My main scientific interests lie at the interplay between combinatorics on words, numeration systems, formal languages, and automata. I also play with number theory on the side. I like questions related to Pascal’s triangle, binomial coefficients, words complexity functions, distinguished families of infinite words (e.g., automatic, synchronized, regular, morphic, Lyndon, Nyldon, Sturmian, episturmian), all Cobham’s theorems, topics related to factorizations of words (e.g., Ziv-Lempel, Crochemore, string attractors), and pattern avoidance (e.g., fractional powers). And I love sequences of integers, especially the OEIS!

2020 Mathematics Subject Classification: 05A05, 05A10, 05A15, 11A63, 11A67, 11B39, 11B57, 11B65, 11B85, 11J70, 11K16, 28A78, 28A80, 41A60, 68Q45, 68Q70, 68R01, 68R05, 68R15, 68V15, 68V20, 94A45

Collaborations

« I have no hope of getting out of my solitude by myself, says the king builder. The stone has no hope but to be other than stone. But from collaborating, it assembles and becomes a temple ». Saint-Exupéry

At ULiège

Émilie Charlier, Célia Cisternino, Savinien Kreczman, Julien Leroy, Pierre Mathonet, Pierre Popoli, Antoine Renard, Michel Rigo, Markus Whiteland, Naïm Zénaïdi

Worldwide