Volume 196, Issue 2 – September 2022

On the Chowla and twin primes conjectures over $\mathbb F_q[T]$

Pages 457-506 by Will Sawin, Mark Shusterman

Finite generation for valuations computing stability thresholds and applications to K-stability

Pages 507-566 by Yuchen Liu, Chenyang Xu, Ziquan Zhuang

On the implosion of a compressible fluid I: Smooth self-similar inviscid profiles

Pages 567-778 by Frank Merle, Pierre Raphaël, Igor Rodnianski, Jeremie Szeftel

On the implosion of a compressible fluid II: Singularity formation

Pages 779-889 by Frank Merle, Pierre Raphaël, Igor Rodnianski, Jeremie Szeftel