Research

Research topics:

• algebraic combinatorics, and in particular combinatorics in the symmetric group algebra and its representations (Young diagrams, factorizations in symmetric groups and associated graphs embedded in surfaces, Jucys-Murphy elements) ;
• symmetric functions, including Jack polynomials, and generalizations (in particular quasi-symmetric functions) ;
• continuous limits of discrete objects, in particular random permutations and random Young diagrams (my favorite tool in this framework is the combinatorial analysis of mixed cumulants) ;
• linear extensions, hook formulas, $P$-partition theory.