Articles To appear in forthcoming issues

Mahler’s method in several variables and finite automata

by Boris Adamczewski, Colin Faverjon

Analytic pseudo-rotations

by Pierre Berger

The chromatic Nullstellensatz

by Robert Burklund, Tomer M. Schlank, Allen Yuan

The McKay Conjecture on character degrees

by Marc Cabanes, Britta Späth

Hermitian $\mathrm{K}$-theory for stable $\infty$-categories III: Grothendieck-Witt groups of rings

by Baptiste Calmès, Emanuele Dotto, Yonatan Harpaz, Fabian Hebestreit, Markus Land, Kristian Moi, Denis Nardin, Thomas Nikolaus, Wolfgang Steimle

An exponential improvement for diagonal Ramsey

by Marcelo Campos, Simon Griffiths, Robert Morris, Julian Sahasrabudhe

Weakly mixing polygonial billiards

by Jon Chaika, Giovanni Forni

Tremors and horocycle dynamics on the oduli spce of translation surfaces

by Jon Chaika, John Smillie, Barak Weiss

A new approach to strong convergence

by Chi-Fang Chen, Jorge Garza-Vargas, Joel A. Tropp, Ramon van Handel

The interior of dynamical vacuum black holes I: The $C^0$-stability of the Kerr Cauchy horizon

by Mihalis Dafermos, Jonathan Luk

Rational approximations to linear subspaces

by Nicolas de Saxcé

Good locally testable codes

by Irit Dinur, Shai Evra, Ron Livne, Alexander Lubotzky, Shahar Mozes

An approach to the universality using Weyl $m$-functions

by Benjamin Eichinger, Milivoje Lukić, Brian Simanek

The $L^3$-based strong Onsager theorem

by Vikram Giri, Hyunju Kwon, Matthew Novack

New large value estimates for Dirichlet polynomials

by Larry Guth, James Maynard

A motivic filtration on the topological cyclic homology of commutative ring spectra

by Jeremy Hahn, Arpon Raksit, Dylan Wilson

Bethe-Sommerfeld Conjecture and absolutely continuous spectrum of multi-dimensional quasi-periodic Schrödinger operators

by Yu. Karpeshina, L. Parnovski, R. Shterenberg

Loop structure on equivariant $K$-theory of semi-infinite flag manifolds

by Syu Kato

Independence of $\ell$ for Frobenius conjubacy classes attached to abelian varieties

by Mark Kisin, Rong Zhou

The Shafarevich conjecture for hypersurfaces in abelian varieties

by Brian Lawrence, Will Sawin

On the stability of multi-dimensional rarefaction waves II: Existence of solutions and applications to Riemann problem

by Tian-Wen Luo, Pin Yu

On the stability of multi-dimensional rarefaction waves I: The energy estimates

by Tian-Wen Luo, Pin Yu

Quantum variance on quaternion algebras, III

by Paul D. Nelson

Symmetric power functoriality for Hilbert modular forms

by James Newton, Jack Thorne

On locally analytic vectors of the completed cohomology of modular curves II

by Lue Pan

Arithmetic bigness and a uniform Bogomolov-type result

by Xinyi Yuan