Volume 163

## Finite and infinite arithmetic progressions in sumsets

Pages 1-35 by Endre Szemerédi, Van H. Vu | From volume 163-1

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

Pages 37-163 by Fabrice Bethuel, Giandomenico Orlandi, Didier Smets | From volume 163-1

## Invariant measures and arithmetic unique ergodicity

Pages 165-219 by Elon Lindenstrauss | From volume 163-1

## The Parisi formula

Pages 221-263 by Michel Talagrand | From volume 163-1

## Calderón’s inverse conductivity problem in the plane

Pages 265-299 by Kari Astala, Lassi Päivärinta | From volume 163-1

## Elliptic units for real quadratic fields

Pages 301-346 by Henri Darmon, Samit Dasgupta | From volume 163-1

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

Pages 347-368 by Jørgen Ellegaard Andersen | From volume 163-1

## A refined version of the Siegel–Shidlovskii theorem

Pages 369-379 by Frits Beukers | From volume 163-1

## Correction to “Classical groups and the Hasse principle”

Pages 381-381 by Eva Bayer-Fluckiger, Raman Parimala | From volume 163-1

## Decay of geometry for unimodal maps: An elementary proof

Pages 383-404 by Weixiao Shen | From volume 163-2

## The resolution of the Nirenberg–Treves conjecture

Pages 405-444 by Nils Dencker | From volume 163-2

## Periodic simple groups of finitary linear transformations

Pages 445-498 by Jonathan I. Hall | From volume 163-2

## Logarithmic singularity of the Szegö kernel and a global invariant of strictly pseudoconvex domains

Pages 499-515 by Kengo Hirachi | From volume 163-2

## Gromov–Witten theory, Hurwitz theory, and completed cycles

Pages 517-560 by Andrei Okounkov, Rahul Pandharipande | From volume 163-2

## The equivariant Gromov–Witten theory of $P^1$

Pages 561-605 by Andrei Okounkov, Rahul Pandharipande | From volume 163-2

## Positively curved manifolds with symmetry

Pages 607-668 by Burkhard Wilking | From volume 163-2

## A five element basis for the uncountable linear orders

Pages 669-688 by Justin Tatch Moore | From volume 163-2

## Runge approximation on convex sets implies the Oka property

Pages 689-707 by Franc Forstnerič | From volume 163-2

## A preparation theorem for codimension-one foliations

Pages 709-722 by Frank Loray | From volume 163-2

## The number of extensions of a number field with fixed degree and bounded discriminant

Pages 723-741 by Jordan S. Ellenberg, Akshay Venkatesh | From volume 163-2

## The L-class of non-Witt spaces

Pages 743-766 by Markus Banagl | From volume 163-3

## Divisibility of anticyclotomic L-functions and theta functions with complex multiplication

Pages 767-807 by Tobias Finis | From volume 163-3

## On a class of type $II_1$ factors with Betti numbers invariants

Pages 809-899 by Sorin Popa | From volume 163-3

## Integrality of a ratio of Petersson norms and level-lowering congruences

Pages 901-967 by Kartik Prasanna | From volume 163-3

## Classical and modular approaches to exponential Diophantine equations I. Fibonacci and Lucas perfect powers

Pages 969-1018 by Yann Bugeaud, Maurice Mignotte, Samir Siksek | From volume 163-3

## Dimers and amoebae

Pages 1019-1056 by Richard Kenyon, Andrei Okounkov, Scott Sheffield | From volume 163-3

## Cauchy transforms of point masses: The logarithmic derivative of polynomials

Pages 1057-1076 by J. M. Anderson, Vladimir Ya. Eiderman | From volume 163-3