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Articles in this volume: Finiteness and quasi-simplicity for symmetric K3-surfaces Alex Degtyarev, Ilia Itenberg and Viatcheslav Kharlamov; 1-49 Modular invariance of vertex operator algebras satisfying C_2-cofiniteness Masahiko Miyamoto; 51-91 Projective normality of complete symmetric varieties Rocco Chirivì and Andrea Maffei; 93-123 Schubert polynomials and quiver formulas Anders S. Buch, Andrew Kresch, Harry Tamvakis and Alexander Yong; 125-143 Sur la L2-cohomologie des variétés à courbure négative Nader Yeganefar; 145-180 A Birch and Swinnerton-Dyer conjecture for the Mazur-Tate circle pairing Massimo Bertolini and Henri Darmon; 181-204 Improved bounds for Bochner-Riesz and maximal Bochner-Riesz operators Sanghyuk Lee; 205-232 Finite group actions on C*-algebras with the Rohlin property, I Masaki Izumi; 233-280 Caloric Measure in Parabolic Flat Domains Steve Hofmann, John L. Lewis and Kaj Nyström; 281-346 The topology of the space of symplectic balls in rational 4-manifolds François Lalonde and Martin Pinsonnault; 347-397 Curves of every genus with many points, II: Asymptotically good families Noam D. Elkies, Everett W. Howe, Andrew Kresch, Bjorn Poonen, Joseph L. Wetherell and Michael E. Zieve; 399-422 Three-dimensional flops and noncommutative rings Michel Van den Bergh; 423-455 H-bubbles in a perturbative setting: The finite-dimensional reduction method Paolo Caldiroli and Roberta Musina; 457-484 Hodge cohomology of gravitational instantons Tamás Hausel, Eugenie Hunsicker and Rafe Mazzeo; 485-548 Uniform distribution of orbits of lattices on spaces of frames Alexander Gorodnik; 549-489 The Average Analytic Rank of Elliptic Curves D. R. Heath-Brown; 591-623 Corrections to ``Log abundance theorem for threefolds'' Sean Keel, Kenji Matsuki and James McKernan; 625-630