Ouhabaz studied at the University of Marrakesh in Morocco and got his PhD in France in 1992. Early in his career, he was Researcher at the Technische Universität Berlin, and a member of the Max-Planck group at the University of Potsdam, Germany. Back to France, he was Associate Professor at the University of Marne-la-Vallée, next to Paris. He is currently Professor at the Institut de mathématiques de Bordeaux, University of Bordeaux. He is a member of the Scientific Council of the Institut national des sciences mathématiques et de leurs interactions (INSMI), Centre national de la recherche scientifique (CNRS). He was a scientific delegate at the Haut Conseil de l'Evaluation de la Recherche et de l'Enseignement Supérieur (HCERES) and corresponding member of the Hassan II Academy of Science and Technology, Morocco. He was the Head of the CNRS research group Functional Analysis, Harmonic Analysis and Applications, and Deputy Director of the Institut de Mathématiques de Bordeaux. He is the author of a book published by Princeton University Press and has written more than 68 research articles.