Our main activity in mathematical physics is centered on approaches to Quantum Gravity on one hand, and on Quantum symmetries on the other hand.

The first consists essentially of: i) Quantum Spaces and the construction and study of field theories on such spaces, and ii) Random tensor theories, a higher-rank generalization of random matrix theories.

Quantum symmetries, on the other hand, are quantum analogues of classical symmetry groups on quantum spaces and also appear as dynamical or hidden symmetries in integrable systems.

We also study special functions which are necessary for the computation of loop integrals in quantum field theory. Besides, we work on tensor theories which have versatile applications in data processing.

Pole members working on Mathematical Physics: