Group gradings on Lie algebras with applications to geometry. I (Y. Bahturin, M. Goze, E. Remm).- Bounding the dimensions of rational cohomology groups (C.P. Bendel, B.D. Boe, C.M. Drupieski, D.K. Nakano, B.J. Parshall, C. Pillen, C.B. Wright).- Representations of the general linear Lie superalgebra in the BGG Category {$\mathcal O$} (J. Brundan).- Three results on representations of Mackey Lie algebras (A. Chirvasitu).- Free field realizations of the Date-Jimbo-Kashiwara-Miwa algebra (B. Cox, V. Futorny, R.A. Martins).- The deformation complex is a homotopy invariant of a homotopy algebra (V. Dolgushev, T. Willwacher).- Invariants of Artinian Gorenstein algebras and isolated hypersurface singularities (M.G. Eastwood, A.V. Isaev).- Generalized loop modules for affine Kac-Moody algebras (V. Futorny, I. Kashuba).- Twisted localization of weight modules (D. Grantcharov).- Dirac cohomology and generalization of classical branching rules (J.-S. Huang).- Cleft extensions and quotients of twisted quantum doubles (G. Mason, S.-H. Ng).- On the structure of ${\Bbb N}$-graded vertex operator algebras (G. Mason, G. Yamskulna).- Variations on a Casselman-Osborne theme (D. Miličic).- Tensor representations of Mackey Lie algebras and their dense subalgebras (I. Penkov, V. Serganova).- Algebraic methods in the theory of generalized Harish-Chandra modules (I. Penkov, G. Zuckerman).- On exceptional vertex operator (super) algebras (M.P. Tuite, H.D. Van).- The cubic, the quartic, and the exceptional group $G_2$ (A. van Groningen, J.F. Willenbring).