Volume 167 Issue 1 – January 2008

On the homology of algebras of Whitney functions over subanalytic sets

Pages 1-52 by Jean-Paul Brasselet, Markus J. Pflaum

Higher composition laws IV: The parametrization of quintic rings

Pages 53-94 by Manjul Bhargava

The classification of $p$-compact groups for $p$ odd

Pages 95-210 by Kasper K. S. Andersen, Jesper Grodal, Jesper M. Møller, Antonio Viruel

The Calabi-Yau conjectures for embedded surfaces

Pages 211-243 by Tobias H. Colding, William P. Minicozzi II

Derived equivalences for symmetric groups and $\mathfrak{s}\mathfrak{l}_2$-categorification

Pages 245-298 by Joseph Chuang, Raphaël Rouquier

On the regularity of reflector antennas

Pages 299-323 by Luis Caffarelli, Cristian Gutiérrez, Qingbo Huang