University of Sydney
School of Mathematics and
Statistics
Contact : nathan.chapelier@gmail.com
Current position:
I started since December (2022) a postdoc in algebra and algebraic combinatorics at the University of Sydney with James Parkinson.
Previous positions:
- In 2021/2022 I was a CNRS postdoc in algebra and algebraic combinatorics at Université de Tours and Institut Denis Poisson (France) with Thomas Gobet, Jérémie Guilhot, Cédric Lecouvey.
- I earned my Ph.D. (2021) in Mathematics from Université du Québec à Montréal (Canada) under the advisory of Christophe Hohlweg and Hugh Thomas.
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.