Vol. 170, No. 2, 2009

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The index formula for the moduli of G-bundles on a curve
495–527

Constantin Teleman and Christopher T. Woodward

Subharmonic solutions of Hamiltonian equations on tori
529–560

Nancy Hingston

Cubic structures, equivariant Euler characteristics and lattices of modular forms
561–608

Ted Chinburg, Georgios Pappas, and Martin J. Taylor

Generalizations of Siegel’s and Picard’s theorems
609–655

Aaron Levin

The Weil-étale topology for number rings
657–683

Stephen Lichtenbaum

Blowing up Kähler manifolds with constant scalar curvature, II
685–738

Claudio Arezzo and Frank Pacard

Sum rules and spectral measures of Schrödinger operators with L2 potentials
739–782

Rowan Killip and Barry Simon

Combinatorial rigidity for unicritical polynomials
783–797

Artur Avila, Jeremy Kahn, Mikhail Lyubich, and Weixiao Shen

On the shape of Bruhat intervals
799–817

Anders Björner and Torsten Ekedahl

Primes in tuples I
819–862

Daniel A. Goldston, János Pintz, and Cem Y. Yıldırım

The B. and M. Shapiro conjecture in real algebraic geometry and the Bethe ansatz
863–881

Evgeny Mukhin, Vitaly Tarasov, and Alexander Varchenko

The zero locus of an admissible normal function
883–897

Patrick Brosnan and Gregory J. Pearlstein

Split embedding problems over complete domains
899–914

Elad Paran

A new approach to universality limits involving orthogonal polynomials
915–939

Doron S. Lubinsky

A new upper bound for diagonal Ramsey numbers
941–960

David Conlon

Smooth linearization of commuting circle diffeomorphisms
961–980

Bassam Fayad and Kostantin Khanin

Moments of the Riemann zeta function
981–993

Kannan Soundararajan

Complexity classes as mathematical axioms
995–1002

Michael H. Freedman