The main results:
N=2 supergravity with charged gravitino (with E.S.Fradkin); Hamiltonian quantization of N=1 supergravity (with E.S.Fradkin); auxiliary fields in N=1,2 pure supergravities (with E.S.Fradkin); vierbein-type formulation of free higher-spin field dynamics; star product realization of higher-spin symmetries, consistent cubic higher-spin-gravitational interactions in 3+1 dimensions (with E.S.Fradkin) and 4+1 dimensions; non-linear equations of motion for higher-spin-matter systems in 3+1, 2+1 and 1+1 dimensions; realization of fuzzy sphere in terms of the deformed oscillator algebra, explicit construction of the wave functions of the rational Calogero model with harmonic potential (with H.Hansson and L.Brink); "Unfolded formulation" of invariant equations in the form of covariant constancy conditions; realization of 3d (with O.Sheynkman) and 4d conformal equations in terms of the star product algebra Fock modules; relativistic dynamics in generalized sp(2M) invariant space-times with matrix coordinates.