Includes bibliographical references.

Compact moduli spaces of surfaces of general type ; Rigid curves on overline M_0,n and arithmetic breaks ; Algebraic and combinatorial Brill-Noether theory ; GIT constructions of log canonical models of overline M_g ; The geometry of the ball quotient model of the moduli space of genus four curves ; Two remarks on the Weierstrass flag ; Chern classes of conformal blocks ; Restrictions of stable bundles ; Orthogonal bundles, theta characteristics and symplectic strange duality ; The splitting principle and singularities ; Igusa quartic and Steiner surfaces ; Green's conjecture for general covers ; Spaces of sections of quadric surface fibrations over curves Paul Hacking ; Ana-Maria Castravet and Jenia Tevelev ; Lucia Caporaso ; Jarod Alper and Donghoon Hyeon ; Sebastian Casalaina-Martin, David Jensen and Radu Laza ; Enrico Arbarello and Gabriele Mondello ; Najmuddin Fakhruddin ; V. Balaji and Janos Kollar ; Prakash Belkale ; Sandor J. Kovacs ; Shigeru Mukai ; Marian Aprodu and Gavril Farkas ; Brendan Hassett and Yuri Tschinkel