Volume 163 Issue 1 – January 2006

Finite and infinite arithmetic progressions in sumsets

Pages 1-35 by Endre Szemerédi, Van H. Vu

Convergence of the parabolic Ginzburg–Landau equation to motion by mean curvature

Pages 37-163 by Fabrice Bethuel, Giandomenico Orlandi, Didier Smets

Invariant measures and arithmetic unique ergodicity

Pages 165-219 by Elon Lindenstrauss

The Parisi formula

Pages 221-263 by Michel Talagrand

Calderón’s inverse conductivity problem in the plane

Pages 265-299 by Kari Astala, Lassi Päivärinta

Elliptic units for real quadratic fields

Pages 301-346 by Henri Darmon, Samit Dasgupta

Asymptotic faithfulness of the quantum SU(n) representations of the mapping class groups

Pages 347-368 by Jørgen Ellegaard Andersen

A refined version of the Siegel–Shidlovskii theorem

Pages 369-379 by Frits Beukers

Correction to “Classical groups and the Hasse principle”

Pages 381-381 by Eva Bayer-Fluckiger, Raman Parimala