Publications
Preprints and publications
“Two associative operads of packed words“, joint with Samuele Giraudo.
“Schröder trees, antipode formulas and non-commutative probability“, joint with Adrian Celestino.
“On the free commutative monoid over a positive operad“, joint with Dominique Manchon, Hedi Regeiba and Imen Rjaiba.
“Hopf algebras of Stirling permutations and planar trees“, joint with Amy Pang, Nantel Bergeron, Rafael González and Shu Xiao Li. Advances in Applied Mathematics, Volume 143, February 2023, 102436.
“Antipode formulas for pattern Hopf algebras“, joint with Raúl Penaguiao.
Book chapters
Estructuras algebraicas en especies combinatorias, joint with Marcelo Aguiar and José Bastidas. Chapter in “Algebraic and Geometric Combinatorics”, Cambridge University Press, to appear.
Refereed conference proceedings
“Hopf algebra of permutation pattern functions“, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014), 839-850, Discrete Math. Theor. Comput. Sci. Proc., AS.
Ongoing projects
“Connes-Kreimer Hopf monoid, grafting operators and up/down operators”, joint with Pierre Clavier and Sylvie Paycha.
“Algebraic structure of the Hopf algebra of packed words”.
“Flow polytopes and lattice quotients”, joint with Rafael S. González D’León, Alejandro H. Morales, Eva Philippe, Daniel Tamayo Jiménez and Martha Yip.
“Nested Chen sums and interated integrals”, joint with Diego López and Sylvie Paycha.
“Antipode formulas for pattern Hopf algebras and reciprocity”, joint with Raúl Penaguião.
“Asymptotic formulae for the number of coloured partitions of an integer”, joint with Stella Brassesco and Arnaud Meyroneinc.
MATH-AmSud collaboration: ALGONCOMB (Algebraic structures supported in families of combinatorial objects).