Volume 168 Issue 1 – July 2008

The kissing number in four dimensions

Pages 1-32 by Oleg R. Musin

Ramification theory for varieties over a perfect field

Pages 33-96 by Kazuya Kato, Takeshi Saito

Growth of the number of simple closed geodesics on hyperbolic surfaces

Pages 97-125 by Maryam Mirzakhani

On local connectivity for the Julia set of rational maps: Newton’s famous example

Pages 127-174 by Pascale Roesch

The strong Macdonald conjecture and Hodge theory on the loop Grassmannian

Pages 175-220 by Susanna Fishel , Ian Grojnowski, Constantin Teleman

The derivation problem for group algebras

Pages 221-246 by Viktor Losert

Metric cotype

Pages 247-298 by Manor Mendel, Assaf Naor

Subelliptic $\mathrm{Spin}_{\mathbb{C}}$ Dirac operators, III. The Atiyah–Weinstein conjecture

Pages 299-365 by Charles L. Epstein