Research: Non associative Algebra, Category Theory, Triangulated Category Theory, Balmer-Witt Theory,  Quadratic Forms in Characteristic 2, Galois Theory, Essential dimension, Tensor Triangular Geometry
Teaching:  Algebra (Associative, Linear, Commutative or not),  Differential Calculus , Algebraic Geometry/Topology, etc.

Teaching: My current work at EPFL is half time dedicated to teaching mathematics for 1st year students. It is very important to give satisfactory introductory courses to first year students: future engineers need solid basis in mathematics and that is the purpose of my courses.
I also share with passion my vision of mathematics which is a beautiful tool for expressing elaborate constructions by supervising semestre projects in Category Theory.

Research: Categorical Topology, (Higher) Category Theory, Topos Theory, Tensor Triangular Geometry, Essential Dimension, Number Theory, Logic, Applications of Category Theory to non mathematical problems.

My vision in teaching mathematics is to provide simple explanations for complex concepts. I also like to explain mathematical theories using analogy and comparison with everyday examples.