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I am interested in ...
algebraic and geometric combinatorics
- Coxeter-Catalan combinatorics,
- Weyl groups, Coxeter groups and complex reflection groups,
- simplicial and polytopal complexes,
- cluster algebras
enumerative and bijective combinatorics
- permutations,
- combinatorial statistics,
- the cyclic sieving phenomenon
representation theory
- symmetric group,
- Coxeter groups and complex reflection groups,
- Cherednik algebras
computational combinatorics
- implementations using the open-source computer algebra system Sage
...and in all their facets.
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