School of Mathematics and Statistics,
The University of Sydney,
Contact : firstname.lastname@example.org
I started since December (2022) a postdoc in algebra and algebraic combinatorics at The University of Sydney under the advisory of James Parkinson.
- In 2021/2022 I was a CNRS postdoc in algebra and algebraic combinatorics at Université de Tours and Institut Denis Poisson (France), where I was working with Thomas Gobet, Jérémie Guilhot and 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.
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.
Automata theory and Garside shadows related to the language of reduced words in Coxeter groups.
Root systems of Coxeter groups.
Toric varieties in relation with generalized associahedra.
Kac-Moody algebras and crystal theory.