My field of research lies at the intersection of algebraic geometry, commutative algebra and representation theory with a focus on computations. Specifically, I study crystallographic symmetries and special functions related to root systems, which give rise to generalized Chebyshev polynomials, as well as the invariant theoretic properties of symplectic, complex and rational reflection groups. Moreover, I am interested in computations over non-commutative rings and algebras that are motivated by group actions as well as exploiting algebraic structures in optimization. My doctoral thesis entitled "Groupes Cristallographiques et Polynômes de Chebyshev en Optimisation Globale" ("Crystallographic Groups and Chebyshev Polynomials in Global Optimization") was supervised by Evelyne Hubert and defended on December 15, 2022 at Inria d'Université Côte d'Azur. The jury consisted of Christine Bachoc, Laurent Baratchart (président du jury), Victor Magron, Gabriele Nebe and Frédéric Patras. The thesis is accessible in the library of Université Côte d'Azur and online. Currently, I am working on this problem. Our research group organizes a seminar on representation theory and beyond every fortnight.