(Research Statement) I am a postdoc in the POP team of LAAS-CNRS Toulouse with Victor Magron and Igor Klep supported by COMPUTE. We develop and improve algorithms to solve computational problems through the exploitation of algebraic structures. In particular, I am interested in crystallographic symmetries related to Weyl groups and weight lattices of Lie algebras, multiplicative invariants, generalized Chebyshev polynomials and applications in polynomial optimization, dynamical systems and graph coloring as well as noncommutative algebras. My favorite research project hides behind the images on the right. My doctoral thesis entitled "Crystallographic Groups and Chebyshev Polynomials in Global Optimization" was supervised by Evelyne Hubert and defended in December 2022 at the Centre Inria d'Université Côte d'Azur. The thesis is available here and in the library of Université Côte d'Azur. The doctorate was part of the POEMA network, supported by European Union's Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Actions.