Topics

My preferred research topics lie at the interface of representation theory and algebraic combinatorics. I am also interested in interactions with other areas of mathematics. Some themes I like to think about are:
- (modular) representations of finite groups (Coxeter groups, finite groups of Lie type, etc),
- Hecke algebras, Cherednik algebras, 
- Lie algebras, Kac-Moody algebras and associated quantum groups,
- crystal and canonical bases
- categorification,
- combinatorics on words, RSK correspondence,
- applications in probability (random walks, percolation, etc)
- enumerative combinatorics.

Research articles

See the list above. My research articles can be found on arXiv.

PhD thesis

I have defended my PhD thesis entitled Decomposition matrices for Ariki-Koike algebras and crystal isomorphisms in Fock spaces in July 2014. You can find it online here. 

Programming

I have written a few python programs for computing affine type A crystals using the combinatorics of Fock spaces. Also, I implemented the corresponding crystal isomorphisms, Heisenberg crystals, Mullineux-type maps and an affine Robinson-Schensted correspondence.
For any particular request, do not hesitate to write me.

Related mathematicians

Here is a (non-exhaustive) list of some fellow mathematicians whose work I like to keep track of: Chris Bowman, Maria Chlouveraki, Maciej Dołęga, Olivier Dudas, Matthew Fayers, Iain Gordon, Gerhard Hiss, Nicolas Jacon, Alexander Kleshchev, Cédric Lecouvey, Peter Littelmann, Andrew Mathas, Philippe Nadeau, Emily Norton, Loic Poulain d'Andecy, Christoph Schönnenbeck, Peng Shan, Jay Taylor, Donna Testerman, Jean-Yves Thibon, Jacinta Torres.

Miscellaneous links

Seminar Groups, Arithmetic & Algebraic Geometry at EPFL
Swiss National Science Foundation
International Research Network "Representation theory"