Volume 174

## Proof of the Kurlberg-Rudnick rate conjecture

Pages 1-54 by Shamgar Gurevich, Ronny Hadani | From volume 174-1

## Uniform approximation on manifolds

Pages 55-73 by Alexander J. Izzo | From volume 174-1

## Generalized complex geometry

Pages 75-123 by Marco Gualtieri | From volume 174-1

## The absolutely continuous spectrum of Jacobi matrices

Pages 125-171 by Christian Remling | From volume 174-1

## On the spectral side of Arthur’s trace formula — absolute convergence

Pages 173-195 by Tobias Finis, Erez Lapid, Werner Müller | From volume 174-1

## On the spectral side of Arthur’s trace formula — combinatorial setup

Pages 197-223 by Tobias Finis, Erez Lapid | From volume 174-1

## The Boltzmann-Grad limit of the periodic Lorentz gas

Pages 225-298 by Jens Marklof, Andreas Strömbergsson | From volume 174-1

## Sur les groupes de transformations birationnelles des surfaces

Pages 299-340 by Serge Cantat | From volume 174-1

## Double shuffle relation for associators

Pages 341-360 by Hidekazu Furusho | From volume 174-1

## Nonuniform measure rigidity

Pages 361-400 by Boris Kalinin, Anatole Katok, Federico Rodriguez Hertz | From volume 174-1

## On motivic cohomology with $\mathbf{Z}/l$-coefficients

Pages 401-438 by Vladimir Voevodsky | From volume 174-1

## Hilbert modular forms and the Gross-Stark conjecture

Pages 439-484 by Samit Dasgupta, Henri Darmon, Robert Pollack | From volume 174-1

## The Bohnenblust-Hille inequality for homogeneous polynomials is hypercontractive

Pages 485-497 by Andreas Defant, Leonhard Frerick, Joaquim Ortega-Cerdà , Myriam Ounaïes, Kristian Seip | From volume 174-1

## On the Castelnuovo-Mumford regularity of rings of polynomial invariants

Pages 499-517 by Peter Symonds | From volume 174-1

## Wiener’s `closure of translates’ problem and Piatetski-Shapiro’s uniqueness phenomenon

Pages 519-541 by Nir Lev, Alexander Olevskii | From volume 174-1

## First cohomology groups of Chevalley groups in cross characteristic

Pages 543-559 by Robert M. Guralnick, Pham Huu Tiep | From volume 174-1

## A new proof of the graph removal lemma

Pages 561-579 by Jacob Fox | From volume 174-1

## On the Ramanujan conjecture over number fields

Pages 581-605 by Valentin Blomer, Farrell Brumley | From volume 174-1

## A remark on the convolution with the box spline

Pages 607-618 by Michèle Vergne | From volume 174-1

## On Roth’s theorem on progressions

Pages 619-636 by Tom Sanders | From volume 174-1

## On the distortion of knots on embedded surfaces

Pages 637-646 by John Pardon | From volume 174-1

## Rearrangement inequalities and applications to isoperimetric problems for eigenvalues

Pages 647-755 by François Hamel, Nikolai Nadirashvili, Emmanuel Russ | From volume 174-2

## Description of two soliton collision for the quartic gKdV equation

Pages 757-857 by Yvan Martel, Frank Merle | From volume 174-2

## A nearly-optimal method to compute the truncated theta function, its derivatives, and integrals

Pages 859-889 by Ghaith Ayesh Hiary | From volume 174-2

## Fast methods to compute the Riemann zeta function

Pages 891-946 by Ghaith Ayesh Hiary | From volume 174-2

## Loop groups and twisted $K$-theory III

Pages 947-1007 by Daniel S. Freed, Michael J. Hopkins, Constantin Teleman | From volume 174-2

## Arithmetic groups have rational representation growth

Pages 1009-1056 by Nir Avni | From volume 174-2

## A height gap theorem for finite subsets of $\mathrm{GL}_{d}(\overline{\Bbb{Q}})$ and nonamenable subgroups

Pages 1057-1110 by Emmanuel Breuillard | From volume 174-2

## Mesures stationnaires et fermés invariants des espaces homogénes

Pages 1111-1162 by Yves Benoist, Jean-François Quint | From volume 174-2

## The Evans-Krylov theorem for nonlocal fully nonlinear equations

Pages 1163-1187 by Luis Caffarelli, Luis Silvestre | From volume 174-2

## The single ring theorem

Pages 1189-1217 by Alice Guionnet, Manjunath Krishnapur, Ofer Zeitouni | From volume 174-2

## Representation theoretic patterns in three dimensional Cryo-Electron Microscopy I: The intrinsic reconstitution algorithm

Pages 1219-1241 by Ronny Hadani, Amit Singer | From volume 174-2

## Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities

Pages 1243-1299 by Percy Deift, Alexander Its, Igor Krasovsky | From volume 174-2

## From real affine geometry to complex geometry

Pages 1301-1428 by Mark Gross, Bernd Siebert | From volume 174-3

## Estimates for the maximal singular integral in terms of the singular integral: the case of even kernels

Pages 1429-1483 by Joan Mateu, Joan Orobitg, Joan Verdera | From volume 174-3

## On De Giorgi’s conjecture in dimension $N\ge 9$

Pages 1485-1569 by Manuel del Pino, Michał Kowalczyk, Juncheng Wei | From volume 174-3

## The link between the shape of the irrational Aubry-Mather sets and their Lyapunov exponents

Pages 1571-1601 by Marie-Claude Arnaud | From volume 174-3

## The spherical Hecke algebra for affine Kac-Moody groups I

Pages 1603-1642 by Alexander Braverman, David Kazhdan | From volume 174-3

## Stratifying modular representations of finite groups

Pages 1643-1684 by David J. Benson, Srikanth B. Iyengar, Henning Krause | From volume 174-3

## Eigenvarieties for reductive groups

Pages 1685-1784 by Eric Urban | From volume 174-3

## On a problem posed by Steve Smale

Pages 1785-1836 by Peter Bürgisser, Felipe Cucker | From volume 174-3

## On a problem in simultaneous Diophantine approximation: Schmidt’s conjecture

Pages 1837-1883 by Dzmitry Badziahin, Andrew Pollington, Sanju Velani | From volume 174-3

## The Waring problem for finite simple groups

Pages 1885-1950 by Michael Larsen, Aner Shalev, Pham Huu Tiep | From volume 174-3

## Corrigendum to “A smooth foliation of the 5-sphere by complex surfaces”

Pages 1951-1952 by Laurent Meersseman, Alberto Verjovsky | From volume 174-3