New results were obtained in all the topics mentioned, in particular:
in the field of integrable dynamical systems: the discovery of new invariant manifold for dynamical systems with singular points; the proof of non-conservation of quantities expected to be invariants in a wide class of dynamical systems; the extension to higher space dimensions of certain integrable equations;
in the field of strongly correlated fermions: the role of the number of space dimensions for systems of strongly correlated electrons;the determination of the role of spin fluctuations on the appearance of antiferromagnetic instabilities;
in the field of quantum measurement and codes: the proof of the possibility of extending to quantum gaussian communication channels with constrained power the achievability conditions of the quantum entropy bound;
in the field of quantum algebras: the explicit construction of the twist-deformed osp(1|2) superalgebra.