Includes bibliographical references.

Unstable bundles in quantum field theory ; Brackets in the jetbundle approach to field theory ; The BRST structure of twisted =2 algebra ; Anomalies and locality in field theories and Mtheory ; Gauge covariant algebras and local BRST cohomology ; Generalized homologies for ^N=0 and graded ifferential algebras ; Nonlinear control and diffieties, with an application to physics ; Consistent interactions between gauge fields: the cohomological approach ; A compatible analytic manifold structure for Lie pseudogroups of infinite type ; Cohomology background in geometry of PDE ; Algebraic renormalization of massive supersymmetric theories ; A new look at completely integrable systems and double Lie groups ; Quantum dynamics of 3D vortices ; The (secret?) homological algebra of the BatalinVilkovisky approach ; Notes on the horizontal cohomology ; Invariants of rational transformations and algebraic entropy ; Introduction to secondary calculus ; On multiple generalizations of Lie algebras and Poisson manifolds M Asorey F Falceto and G Luzon ; Glenn Barnich ; C Becchi S Giusto and C Imbimbo ; L Bonora C S Chu and M Rinaldi ; Friedemann Brandt ; Michel DuboisViolette ; Michel Fliess Jean Levine Philippe Martin and Pierre Rouchon ; Marc Henneaux ; Niky Kamran and Thierry Robart ; Joseph Krasilshchik ; Nicola Maggiore ; G Marmo and A Ibort ; Vittorio Penna Mario Rasetti and Mauro Spera ; Jim Stasheff ; Alexander Verbovetsky ; Claude M Viallet ; Alexandre Vinogradov ; Alexandre Vinogradov and Michael Vinogradov