The second half of the 20th century and its conclusion: Crisis in the physics and mathematics community in Russia and in the West;Interview with Sergey P. Novikov;The function of the KdV hierarchy;On the zeta functions of a meromorphic germ in two variables;On almost duality for Frobenius manifolds;Finitely presented semigroups in knot theory. Oriented case;Topological robotics: Subspace arrangements and collision free motion planning;The initial-boundary value problem on the interval for the nonlinear Schr�odinger equation. The algebro-geometric approach. I;On odd Laplace operators. II;From 2D Toda hierarchy to conformal maps for domains of the Riemann sphere;Integrable chains on algebraic curves;Fifteen years of KAM for PDE;Graded filiform Lie algebras and symplectic nilmanifolds;Adiabatic limit in the Seiberg-Witten equations;Affine Krichever-Novikov algebras, their representations and applications;Tame integrals of motion and o-minimal structures