Hyperelliptic Kleinian functions and applications;Functionals of the Peierls-Fr�olich type and the variational principle for the Whitham equations;Semiclassical motion of the electron. A proof of the Novikov conjecture in general position and counterexamples;An invariant of integral homology 3-spheres which is universal for all finite type invariants;Krichever-Novikov algebras and the cohomology of the algebra of meromorphic vector fields;Exactly solvable two-dimensional Schr�odinger operators and Laplace transformations;Modified Novikov-Veselov equation and differential geometry of surfaces;Supermanifold forms and integration. A dual theory;On hyperplane sections of periodic surfaces