## On the coherence conjecture of Pappas and Rapoport

Pages 1-85 by
From volume 180-1

## Cannon-Thurston maps for surface groups

Pages 1-80 by
From volume 179-1

## Invariant varieties for polynomial dynamical systems

Pages 81-177 by
From volume 179-1

## Energy quantization for Willmore surfaces and applications

Pages 87-136 by
From volume 180-1

## On Zaremba’s conjecture

Pages 137-196 by
From volume 180-1

## Fractal Weyl law for open quantum chaotic maps

Pages 179-251 by
From volume 179-1

## Special test configuration and K-stability of Fano varieties

Pages 197-232 by
From volume 180-1

## Cyclic extensions and the local lifting problem

Pages 233-284 by
From volume 180-1

## The $c$-function expansion of a basic hypergeometric function associated to root systems

Pages 253-299 by
From volume 179-1

## The Oort Conjecture on lifting covers of curves

Pages 285-322 by
From volume 180-1

## Geometry and braiding of Stokes data; Fission and wild character varieties

Pages 301-365 by
From volume 179-1

## Dispersion for the wave equation inside strictly convex domains I: the Friedlander model case

Pages 323-380 by
From volume 180-1

## Geometric and homological properties of affine Deligne-Lusztig varieties

Pages 367-404 by
From volume 179-1

## Rational points on pencils of conics and quadrics with many degenerate fibres

Pages 381-402 by
From volume 180-1

## Corrigendum to: Operator monotone functions and Löwner functions of several variables

Pages 403-405 by
From volume 180-1

## A product theorem in free groups

Pages 405-429 by
From volume 179-2

## Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics

Pages 407-454 by
From volume 180-2

## Limit theorems for translation flows

Pages 431-499 by
From volume 179-2

## Stable logarithmic maps to Deligne–Faltings pairs I

Pages 455-521 by
From volume 180-2

## Potential automorphy and change of weight

Pages 501-609 by
From volume 179-2

## ACC for log canonical thresholds

Pages 523-571 by
From volume 180-2

## Microdifferential systems and the codimension-three conjecture

Pages 573-620 by
From volume 180-2

## On the diameter of permutation groups

Pages 611-658 by
From volume 179-2

## Sets of integers with no large sum-free subset

Pages 621-652 by
From volume 180-2

## Euler systems for Rankin–Selberg convolutions of modular forms

Pages 653-771 by
From volume 180-2

## Ax-Lindemann for $\mathcal{A}_g$

Pages 659-681 by
From volume 179-2

## Min-Max theory and the Willmore conjecture

Pages 683-782 by
From volume 179-2

## On self-similar sets with overlaps and inverse theorems for entropy

Pages 773-822 by
From volume 180-2

## Counting points on hyperelliptic curves in average polynomial time

Pages 783-803 by
From volume 179-2

## Recovering the good component of the Hilbert scheme

Pages 805-841 by
From volume 179-3

## Galois orbits and equidistribution of special subvarieties: towards the André-Oort conjecture

Pages 823-865 by
From volume 180-3

## A general regularity theory for stable codimension 1 integral varifolds

Pages 843-1007 by
From volume 179-3

## The André-Oort conjecture

Pages 867-925 by
From volume 180-3

## The geometry of the moduli space of odd spin curves

Pages 927-970 by
From volume 180-3

## Fourier transform and the global Gan–Gross–Prasad conjecture for unitary groups

Pages 971-1049 by
From volume 180-3

## Truncations of level $1$ of elements in the loop group of a reductive group

Pages 1009-1040 by
From volume 179-3

## Image of the Burau representation at $d$-th roots of unity

Pages 1041-1083 by
From volume 179-3

## Spherical Hecke algebras for Kac-Moody groups over local fields

Pages 1051-1087 by
From volume 180-3

## Sharp vanishing thresholds for cohomology of random flag complexes

Pages 1085-1107 by
From volume 179-3

## The Hodge theory of Soergel bimodules

Pages 1089-1136 by
From volume 180-3

## Kodaira dimension and zeros of holomorphic one-forms

Pages 1109-1120 by
From volume 179-3

## Bounded gaps between primes

Pages 1121-1174 by
From volume 179-3

## Most odd degree hyperelliptic curves have only one rational point

Pages 1137-1166 by
From volume 180-3

## On the boundedness of Bernoulli processes

Pages 1167-1203 by
From volume 180-3

## On the quantitative distribution of polynomial nilsequences — erratum

Pages 1175-1183 by
From volume 179-3

## Small scale creation for solutions of the incompressible two-dimensional Euler equation

Pages 1205-1220 by
From volume 180-3

## A Note from Reiko Miyaoka

Pages 1221- by
From volume 180-3