Vol. 169, No. 1, 2009

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The ‘Harder-Narasimhan trace’ and unitarity of the KZ/Hitchin connection: genus 0
1-39

Trivandrum Ramakrishnan Ramadas

Regularity of flat level sets in phase transitions
41-78

Ovidiu Savin

Existence of Engel structures
79-137

Thomas Vogel

Stable manifolds for an orbitally unstable nonlinear Schrödinger equation
139-227

Wilhelm Schlag

On Serre's reciprocity conjecture for 2-dimensional mod p representations of Gal(Q/Q)
229-253

Chandrashekhar Khare & Jean-Pierre Wintenberger

Holomorphic curves into algebraic varieties
255-267

Min Ru

Finite groups of symplectic automorphisms of K3 surfaces in positive characteristic
269-313

Igor Dolgachev & JongHae Keum

Fitting a Cm-smooth function to data, I
315-346

Charles L. Fefferman & Bo'az Klartag