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ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
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In  Forthcoming  Issues
Toroidal orbifolds, destackification, and Kummer blowings up

Dan Abramovich, Michael Temkin, Jarosław Włodarczyk, David Rydh

Modular invariants for real quadratic fields and Kloosterman sums

Nickolas Andersen, William D. Duke

Abelian extensions in dynamical Galois theory

Jesse Andrews, Clayton Petsche

The Brauer group of the moduli stack of elliptic curves

Benjamin Antieau, Lennart Meier

Nouvelles cohomologies de Weil en caractéristique positive

Joseph Ayoub

Quadratic Chabauty for (bi)elliptic curves and Kim's conjecture

Francesca Bianchi

Moments of quadratic twists of elliptic curve L-functions over function fields

H. M. Bui, Alexandra Florea, Jonathan P. Keating, Edva Roditty-Gershon

Sous-groupe de Brauer invariant et obstruction de descente itérée

Yang Cao

The dimension growth conjecture, polynomial in the degree and without logarithmic factors

Wouter Castryck, Raf Cluckers, Philip Dittmann, Kien Huu Nguyen

The basepoint-freeness threshold and syzygies of abelian varieties

Federico Caucci

Uniform Yomdin-Gromov parametrizations and points of bounded height in valued fields

Raf Cluckers, Arthur Forey, François Loeser

Mixed Tate motives and the unit equation II

Ishai Dan-Cohen

Burch ideals and Burch rings

Hailong Dao, Toshinori Kobayashi, Ryo Takahashi

An intriguing hyperelliptic Shimura curve quotient of genus 16

Lassina Dembélé

Elliptic curves over totally real cubic fields are modular

Maarten Derickx, Filip Najman, Samir Siksek

Nonvanishing of hyperelliptic zeta functions over finite fields

Jordan Ellenberg, Wanlin Li, Mark Shusterman

Endomorphism algebras of geometrically split abelian surfaces over Q

Francesc Fité, Xavier Guitart

Classification of some vertex operator algebras of rank 3

Cameron Franc, Geoffrey Mason

On asymptotic Fermat over $\mathbb{Z}_p$-extensions of $\mathbb{Q}$

Nuno Freitas, Alain Kraus, Samir Siksek

Generically Free Representations I: Large Representations

Skip Garibaldi, Robert Guralnick

Invertible functions on non-archimedean symmetric spaces

Ernst-Ulrich Gekeler

Modular forms from Noether-Lefschetz theory

François Greer

Unobstructedness of Galois deformation rings associated to RACSDC automorphic representations

David-Alexandre Guiraud

Auslander correspondence for triangulated categories

Norihiro Hanihara

On iterated product sets with shifts II

Brandon Hanson, Oliver Roche-Newton, Dmitrii Zhelezov

The universal family of semi-stable $p$-adic Galois representations

Urs Hartl, Eugen Hellmann

p-Adic distribution of CM points and Hecke orbits. I. Convergence towards the Gauss point

Sebastián Herrero, Ricardo Menares, Juan Rivera-Letelier

Corrigendum to: On the supersingular locus of the GU(2,2) Shimura variety

Benjamin Howard, George Pappas

On the Ekedahl-Oort stratification of Shimura curves

Benjamin Howard

Mass equidistribution on the torus in the depth aspect

Yueke Hu

Deformations of smooth complete toric varieties: obstructions and the cup product

Nathan Owen Ilten, Charles Turo

Pro-unipotent harmonic actions and dynamical properties of p-adic cyclotomic multiple zeta values

David Jarossay

The distribution of p-torsion in degree p cyclic fields

Jack Klys

A moving lemma for relative 0-cycles

Amalendu Krishna, Jinhyun Park

Most words are geometrically almost uniform

Michael Jeffrey Larsen

Height of rational points on random Fano hypersurfaces

Pierre Le Boudec

Motivic Gauß-Bonnet formulas

Marc Levine, Arpon Raksit

On a conjecture of Yui and Zagier

Yingkun Li, Tonghai Yang

Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups

Yifeng Liu, Yichao Tian

P-adic Asai L-functions of Bianchi modular forms

David Loeffler, Christopher Williams

Iterated local cohomology groups and Lyubeznik numbers for determinantal rings

András Lőrincz, Claudiu Raicu

The Prasad conjectures for GSp(4) and PGSp(4)

Hengfei Lu

Roots of $L$-functions of characters over function fields, generic linear independence and biases

Corentin Perret-Gentil

Burgess bounds for short character sums evaluated at forms

Lillian B. Pierce, Junyan Xu

On the Breuil-Schneider conjecture: Generic case

Alexandre Pyvovarov

The Hilbert scheme of hyperelliptic Jacobians and moduli of Picard sheaves

Andrea T. Ricolfi

Galois action on the principal block and cyclic Sylow subgroups

Noelia Rizo, A. A. Schaeffer Fry, Carolina Vallejo

On the group of purely inseparable points of an abelian variety defined over a function field of positive characteristic II

Damian Rössler

Generating series of a new class of orthogonal Shimura varieties

Eugenia Rosu, Dylan Yott

A representation theory approach to integral moments of L-functions over function fields

Will Sawin

On the motivic class of an algebraic group

Federico Scavia

On a cohomological generalization of the Shafarevich conjecture for K3 surfaces

Teppei Takamatsu

Gowers norms control diophantine inequalities

Aled Walker