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V.V. Kozlov is a full member of RAS, a member of Presidential Council on Science and Education; he is a specialist in theoretical mechanics, problem of the exact integrability of equations of motion, variational methods of mechanics, and other. Among his scientific achievements is the solution of the Poincare problem of the non-existence of additional conservation laws for a heavy asymmetric rigid body with a fixed point, the Painlev茅 鈥� Golubev problem of branching solutions of equations dynamics in the plane of complex time and the existence of a complete set of holomorphic first integrals of the Hamilton equations, Chaplygin's problem of the fall of a rigid body in an unbounded volume of ideal fluid. He was the first to get an accurate prove of the so-called Earnshaw鈥檚 theorem on the instability of equilibria in a field with a harmonic potential.