My main research interests are on Group Field Theory and Tensor models called henceforth Tensorial Group Field Theories (TGFT's) as approaches for quantum gravity. They can be regarded as theories generalizing Matrix models celebrated in the 80's as successful models
for 2D quantum gravity. TGFT's generate, at the perturbative level, Feynman graphs as simplicial manifolds and therefore provide a realization of a quantum theory for topology in arbitrary dimension. They are very attractive because they offer, within a traditional field-theoretical formalism, one of the most complete framework for a background independent quantum theory of gravity. As a quantum field theory formulated by a functional integral, TGFT's should satisfy some renormalizability conditions that I am investigating.