ContentsProjective planes, Severi varieties and spheres (by M. Atiyah & J. Berndt)Degeneration of Einstein metrics and metrics with special holonomy (by J. Cheeger)The min-max construction of minimal surfaces (by T.H. Colding & C. De Lellis)Universal volume bounds in Riemannian manifolds (by C.B. Croke & M. Katz)A Kawamata-Viehweg vanishing theorem on compact Kähler manifolds (by J.-P. Demailly & T. Peternel)Moment maps in differential geometry (by S.K. Donaldson)Local rigidity for cocycles (by D. Fisher & G.A. Margulis)Einstein metrics, four-manifolds, and differential topology (by C. LeBrun)Topological quantum field theory for Calabi-Yau threefolds and G2-manifold (by N.C. Leung)Geometric results in classical minimal surface theory (by W.H. Meeks III)On global existence of wave maps with critical regularity (by A. Nahmod)Discreteness of minimal models of Kodaira dimension zero and subvarieties of moduli stacks (by E. Viehweg & K. Zuo)Geometry of the Weil-Peterson completion of Teichmüller space (by S.A. Wolpert)