Volume 160 Issue 2 – September 2004

Robust transitive singular sets for 3-flows are partially hyperbolic attractors or repellers

Pages 375-432 by Carlos Arnoldo Morales, Maria José Pacifico, Enrique R. Pujals

Cover times for Brownian motion and random walks in two dimensions

Pages 433-464 by Amir Dembo, Yuval Peres, Jay Rosen, Ofer Zeitouni

Geometry of the uniform spanning forest: Transitions in dimensions 4, 8, 12,…

Pages 465-491 by Itai Benjamini, Harry Kesten, Yuval Peres, Oded Schramm

Classification of local conformal nets. Case $c < 1$

Pages 493-522 by Yasuyuki Kawahigashi, Roberto Longo

The space of embedded minimal surfaces of fixed genus in a 3-manifold III; Planar domains

Pages 523-572 by Tobias H. Colding, William P. Minicozzi II

The space of embedded minimal surfaces of fixed genus in a 3-manifold IV; Locally simply connected

Pages 573-615 by Tobias H. Colding, William P. Minicozzi II

On a vanishing conjecture appearing in the geometric Langlands correspondence

Pages 617-682 by Dennis Gaitsgory

Unique decomposition of tensor products of irreducible representations of simple algebraic groups

Pages 683-704 by C. S. Rajan

On integral points on surfaces

Pages 705-726 by Pietro Corvaja, Umberto Zannier

On the periods of motives with complex multiplication and a conjecture of Gross–Deligne

Pages 727-754 by Vincent Maillot, Damian Roessler

Kloosterman identities over quadratic extension

Pages 755-779 by Hervé Jacquet

PRIMES is in P

Pages 781-793 by Manindra Agrawal, Neeraj Kayal, Nitin Saxena