My interests lie in the areas of valence and metal-insulator transitions, magnetism, formation of charge and spin ordering, itinerant magnetism, electronic ferroelectricity. For description of these phenomena I use Hubbard model and generalized Falicov-Kimball model. In my work I employ strong- and weak-coupling perturbation theory, exact-diagonalization techniques, the Lanczos method, DMRG method, Monte-Carlo simulations and own numerical algorithms.