My research is focused on Garside theory, in particular using the Garsideness of structure groups associated to set-theoretical solutions of the Yang–Baxter equation to progress on their classification. This classification also involves many different algebraic structures : braces, representations, algebras over a ring, etc. In general, I try to adapt techniques and objects defined for Coxeter group to Yang–Baxter structure group.
More generally, I am interested in Group Theory (Coxeter Groups, Yang-Baxter Equation) and also have strong interests in Algebraic Topology (Category Theory, Homology Theory).
Here is my Research Statement and also my Resume.