Algebra & Number Theory - Forthcoming papers

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ISSN 1944-7833 (online)

ISSN 1937-0652 (print)

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In Forthcoming Issues

Intersection of orbits of loxodromic automorphisms of affine surfaces

Marc Abboud

Plane quartics and heptagons

Daniele Agostini, Daniel Plaumann, Rainer Sinn, Jannik Lennart Wesner

Galois groups of reciprocal polynomials and the van der Waerden-Bhargava theorem

Theresa C. Anderson, Adam Bertelli, Evan M. O'Dorney

Equivariant line bundles with connection on the p-adic upper half plane

Konstantin Ardakov, Simon Wadsley

Deformation rings and images of Galois representations

Sara Arias-de-Reyna, Gebhard Böckle

A density theorem for Borel-type congruence subgroups and arithmetic applications

Edgar Assing

A uniform Tits alternative for endomorphisms of the projective line

Alonso Beaumont

Projectivity and effective global generation of determinantal line bundles on quiver moduli

Pieter Belmans, Chiara Damiolini, Hans Franzen, Victoria Hoskins, Svetlana Makarova, Tuomas Tajakka

New phenomena arising from L-invariants of modular forms

John Bergdall, Robert Pollack

Geometry and arithmetic of geometrically integral regular del Pezzo surfaces

Fabio Bernasconi, Hiromu Tanaka

Supercongruences using modular forms

Frits Beukers

Effective multiplicative independence of 3 singular moduli

Yuri Bilu, Sanoli Gun, Emanuele Tron

Local square mean in the hyperbolic circle problem

András Biró

Semigroups of integer points in convex cones

Grigoriy Blekherman, Jesús A. de Loera, Luze Xu, Shixuan Zhang

Correction to "Application of a polynomial sieve: beyond separation of variables"

Dante Bonolis, Lillian B. Pierce

Sporadic points of odd degree on X_1(N) coming from Q-curves

Abbey Bourdon, Filip Najman

A freeness criterion for complexes with derived actions

Sylvain Brochard, Srikanth B. Iyengar, Chandrashekhar B. Khare

On the theory of higher rank Euler, Kolyvagin and Stark systems, II: the general theory

David Burns, Ryotaro Sakamoto, Takamichi Sano

On a refinement of the Birch and Swinnerton-Dyer conjecture in positive characteristic

David Burns, Mahesh Kakde, Wansu Kim

On the Frobenius fields of abelian varieties over number fields

Ashay A. Burungale, Haruzo Hida, Shilin Lai

Low-lying zeros in families of Maass form $L$-functions: an extended density theorem

Martin Čech, Lucile Devin, Daniel Fiorilli, Kaisa Matomäki, Anders Södergren

A modular approach to Fermat equations of signature (p,p,5) using Frey hyperelliptic curves

Imin Chen, Angelos Koutsianas

La méthode de Shintani et ses variantes

Pierre Colmez

Normal bundles of rational curves in Grassmannians

Izzet Coşkun, Eric Larson, Isabel Vogt

Hom schemes for algebraic groups

Sean Cotner

Noncommutative frieze patterns with coefficients

Michael Cuntz, Thorsten Holm, Peter Jørgensen

Depth zero representations over $\overline{\mathbb{Z}}[\frac{1}{p}]$

Jean-François Dat, Thomas Lanard

Quartic Gauss sums over primes and metaplectic theta functions

Chantal David, Alexander Dunn, Alia Hamieh, Hua Lin

Ramified descent and transcendental Brauer--Manin obstruction

Julian Lawrence Demeio

Isocrystals and limits of rigid local Langlands correspondences

Peter Dillery

Anticyclotomic Euler system over biquadratic fields

Kim Tuan Do

Specialization of Difference Equations and High Frobenius Powers

Yuval Dor, Ehud Hrushovski

Algebraic groups with torsors that are versal for all affine varieties

Uriya A. First, Mathieu Florence, Zev Rosengarten

Computing the Cassels-Tate pairing on the 2-Selmer group of a genus 2 Jacobian

Tom Fisher, Jiali Yan

The geometry of the unipotent component of the moduli space of Weil-Deligne representations

Daniel Funck

Serre's uniformity question and proper subgroups of $C_{ns}^+(p)$

Lorenzo Furio, Davide Lombardo

Noncommutative invariants of finite and classical groups

Karthik Ganapathy

R-equivalence on reductive group schemes

Philippe Gille, Anastasia Stavrova

Rational points on del Pezzo surfaces of low degree

Jakob Glas, Leonhard Hochfilzer

Absolute calculus and prismatic crystals on cyclotomic rings

Michel Gros, Bernard Le Stum, Adolfo Quirós

Rational curves and the Hilbert Property on Jacobian Kummer varieties

Damián Gvirtz-Chen, Zhizhong Huang

Periods of real biextensions

Richard Hain

Crystalline Chebotarëv density theorems

Urs Hartl, Ambrus Pál

A higher genus circle method and an application to geometric Manin’s conjecture

Matthew Hase-Liu

A geometric approach to functional equations for general multiple Dirichlet series over function fields

Matthew Hase-Liu

Admissible pairs and p-adic Hodge structures I: transcendence of the de Rham lattice

Sean Howe, Christian Klevdal

Polylogarithmic motivic Chabauty-Kim for $\mathbb{P}^1 \setminus \{ 0,1,\infty \}$: the geometric step via resultants

David Jarossay, David T.-B. G. Lilienfeldt, Francesco M. Saettone, Ariel Weiss, Sa'ar Zehavi

A counterexample to Tian’s stabilization conjecture

Chenzi Jin

Binding groups for algebraic dynamics

Moshe Kamensky, Rahim Moosa

Descending finite projective modules from a Novikov ring

Dongryul Kim

Homological regularities and concavities

Ellen Kirkman, Robert Won, James J. Zhang

Transcendence properties of the Artin-Hasse exponential modulo p

Joe Kramer-Miller

A Lefschetz theorem for crystalline representations

Raju Krishnamoorthy, Jinbang Yang, Kang Zuo

Boundedness of the p-primary torsion of the Brauer groups of K3 surfaces

Christopher D. Lazda, Alexei N. Skorobogatov

Derived isogenies and isogenies for abelian surfaces

Zhiyuan Li, Haitao Zou

Complete reducibility in bad characteristic

Alastair J. Litterick, Adam R. Thomas

Higher modularity of elliptic curves over function fields

Adam Logan, Jared Weinstein, Masato Kuwata

Birational invariants of volume preserving maps

Konstantin Loginov, Zhijia Zhang

The uniform boundedness and dynamical Lang conjectures for polynomials

Nicole R. Looper

On the cohomology of tautological bundles over Quot schemes of curves

Alina Marian, Dragos Oprea, Steven V Sam

Smoothness of stabilisers in generic characteristic

Benjamin Martin, David I. Stewart, Lewis Topley

Vojta's conjecture, heights associated with subschemes, and primitive prime divisors in arithmetic dynamics

Yohsuke Matsuzawa

Triangle groups: Cusps, congruence and chaos

Curtis T. McMullen

Chevalley formulae for the motivic Chern classes of Schubert cells and for the stable envelopes

Leonardo C. Mihalcea, Hiroshi Naruse, Changjian Su

The role of primes of good reduction in the Brauer–Manin obstruction

Margherita Pagano

Logarithmic base change theorem and smooth descent of positivity of log canonical divisor

Sung Gi Park

Algebra of global sections of $\psi$-bundles on $\bar{M}_{0,n}$

Alexander Polishchuk, Eric Rains

Injectivity and vanishing for the Du Bois complexes of isolated singularities

Mihnea Popa, Wanchun Shen, Anh Duc Vo

Resolution of 1-foliation singularities on surfaces and threefolds

Quentin Posva

Representations from matrix varieties, and filtered RSK

Abigail Price, Ada Stelzer, Alexander Yong

Modularity and heights of CM cycles on Kuga-Sato varieties

Congling Qiu

A counterexample to the conjecture of Ankeny, Artin and Chowla

Andreas Reinhart

Sums and products in sets of positive density

Florian K. Richter

Supersymmetric monoidal categories

Steven V Sam, Andrew Snowden

On the holes in $I^n$ for symmetric bilinear forms in characteristic 2

Stephen Scully

Explicit Hecke descent for special cycles

Syed Waqar Ali Shah

The global exceptional theta correspondence for the dual pair $\mathbf{F}_{4}\times\mathbf{PGL}_{2}$

Yi Shan

The fourth moment of quadratic Dirichlet $L$-Functions II

Quanli Shen, Joshua Stucky

Equivariant vector bundles with connection on Drinfeld symmetric spaces

James Taylor

The Mahler measure of exact polynomials in three variables

Trieu Thu Ha

On $p$-adic solutions to KZ equations, ordinary crystals, and $p^s$-hypergeometric solutions

Alexander Varchenko, Vadim Vologodsky

Mordell-Weil groups as Galois modules

Thomas Vavasour, Christian Wüthrich

Asymptotics for local solubility of diagonal quadrics over a split quadric surface

Cameron Wilson

Wildly ramified unitary local models for special parahorics. The odd dimensional case

Jie Yang

A coarse Jacquet-Zagier trace formula for GL(n) with applications

Liyang Yang

Moment of derivatives of quadratic twists of modular $L$-functions