Contact : nathan.chapelier@gmail.com
Current position:
I started since December (2022) a postdoc in algebra and algebraic combinatorics at the univeristy of Sydney.
Previous positions:
- In 2021/2022 I was a CNRS postdoc in algebra and algebraic combinatorics at Université de Tours and Institut Denis Poisson (France).
- I earned my Ph.D. (2021) in Mathematics from Université du Québec à Montréal (Canada).
Scientific interests:
Coxeter groups, Weyl and affine Weyl groups.
Bruhat order on fixed point cosets.
Kazhdan-Lusztig cells, representations of Hecke algebras.
Shi regions, minimal elements of Shi regions and low elements.
Shi varieties.
Automata theory and Garside shadows related to the language of reduced words in Coxeter groups.
Root systems of Coxeter groups.
Lattice theory.
Toric varieties in relation with generalized associahedra.
Lie algebras.
Kac-Moody algebras and crystal theory.