Recherche Domaine : Physique mathematique Mots clés : théorie non commutative des champs, théorie constructive Rivasseau's research deals with constructive quantum field theory and renormalization theory with applications to many-body theory, such as quantum interacting fermions in solid state physics. Since 2004 he has studied quantum field theories on noncommutative space-time, then group field theory. Since 2011 he develops the tensor track approach to quantum gravity based on random tensors (higher-dimensional generalizations of random matrices).