Recent Issues

Volume 18, 1 issue

Volume 17, 12 issues

Volume 16, 10 issues

Volume 15, 10 issues

Volume 14, 10 issues

Volume 13, 10 issues

Volume 12, 10 issues

Volume 11, 10 issues

Volume 10, 10 issues

Volume 9, 10 issues

Volume 8, 10 issues

Volume 7, 10 issues

Volume 6, 8 issues

Volume 5, 8 issues

Volume 4, 8 issues

Volume 3, 8 issues

Volume 2, 8 issues

Volume 1, 4 issues

The Journal
About the Journal
Editorial Board
Editors’ Interests
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN: 1944-7833 (e-only)
ISSN: 1937-0652 (print)
Author Index
To Appear
Other MSP Journals
In  Forthcoming  Issues
Functorial embedded resolution via weighted blowings up

Dan Abramovich, Michael Temkin, Jarosław Włodarczyk

A bound for the exterior product of $S$-units

Shabnam Akhtari, Jeffrey D. Vaaler

Failure of the local-global principle for isotropy of quadratic forms over function fields

Asher Auel, Venapally Suresh

Application of a polynomial sieve: Beyond separation of variables

Dante Bonolis, Lillian B. Pierce

Polyhedral and tropical geometry of flag positroids

Jonathan Boretsky, Christopher Eur, Lauren Williams

A short resolution of the diagonal for smooth projective toric varieties of Picard rank 2

Michael K. Brown, Mahrud Sayrafi

Generalized Igusa functions and ideal growth in nilpotent Lie rings

Angela Carnevale, Michael Schein, Christopher Voll

Terminal orders on arithmetic surfaces

Daniel Chan, Colin Ingalls

A deterministic algorithm for Harder-Narasimhan filtrations for representations of acyclic quivers

Chi-Yu Cheng

The wavefront sets of unipotent supercuspidal representations

Dan Ciubotaru, Lucas Mason-Brown, Emile Okada

Combining Igusa's conjectures on exponential sums and monodromy with semi-continuity of the minimal exponent

Raf Cluckers, Kien Huu Nguyen

Unramifiedness of weight one Hilbert Hecke algebras

Shaunak V. Deo, Mladen Dimitrov, Gabor Wiese

Galois orbits of torsion points near atoral sets

Vesselin Dimitrov, Philipp Habegger

Breuil-Mézard conjectures for central division algebras

Andrea Dotto

Multiplicity structure of the arc space of a fat point

Rida Ait El Manssour, Gleb Pogudin

Word measures on GL_n(q) and free group algebras

Danielle Ernst-West, Doron Puder, Matan Seidel

Enumeration of conjugacy classes in affine groups

Jason Fulman, Robert Guralnick

A unipotent realization of the chromatic quasisymmetric function

Lucas Gagnon

On the p-adic interpolation of unitary Friedberg--Jacquet periods

Andrew Graham

On Ozaki's theorem realizing prescribed p-groups as p-class tower groups

Farshid Hajir, Christian Maire, Ravi Ramakrishna

Supersolvable descent for rational points

Yonatan Harpaz, Olivier Wittenberg

Affine Deligne–Lusztig varieties with finite Coxeter parts

Xuhua He, Sian Nie, Qingchao Yu

A categorical Künneth formula for constructible Weil sheaves

Tamir Hemo, Timo Richarz, Jakob Scholbach

On Kato and Kuzumaki's properties for the Milnor $\mathrm{K}_2$ of function fields of $p$-adic curves

Diego Izquierdo, Giancarlo Lucchini Arteche

Refined height pairing

Bruno Kahn, Qing Liu

Decidability via the tilting correspondence

Konstantinos Kartas

Equidistribution theorems for holomorphic Siegel cusp forms of general degree: The level aspect

Henry H. Kim, Satoshi Wakatsuki, Takuya Yamauchi

Sub-convexity bound for $GL(3) \times GL(2)$ $L$-functions: Hybrid level aspect

Sumit Kumar, Ritabrata Munshi, Saurabh Kumar Singh

Spectral moment formulae for $GL(3)\times GL(2)$ $L$-functions I: The cuspidal case

Chung-Hang Kwan

The distribution of large quadratic character sums and applications

Youness Lamzouri

Fundamental Exact Sequence for the Pro-Étale Fundamental Group

Marcin Lara

Serre weights for three-dimensional wildly ramified Galois representations

Daniel Le, Bao V. Le Hung, Brandon Levin, Stefano Morra

Differentially large fields

Omar León Sánchez, Marcus Tressl

On Tamagawa numbers of CM tori

Pei-Xin Liang, Yasuhiro Oki, Hsin-Yi Yang, Chia-Fu Yu, Jianing Li

The strong maximal rank conjecture and moduli spaces of curves

Fu Liu, Brian Osserman, Montserrat Teixidor i Bigas, Naizhen Zhang

Exceptional characters and prime numbers in sparse sets

Jori Merikoski

A case study of intersections on blowups of the moduli of curves

Sam Molcho, Dhruv Ranganathan

A geometric classification of the holomorphic vertex operator algebras of central charge 24

Sven Möller, Nils R. Scheithauer

Rooted tree maps for multiple $L$-values from a perspective of harmonic algebras

Hideki Murahara, Tatsushi Tanaka, Noriko Wakabayashi

Sur les espaces homogènes de Borovoi–Kunyavskiĭ

Nguyen Manh Linh

Wide moments of $L$-functions I: Twists by class group characters of imaginary quadratic fields

Asbjørn Christian Nordentoft

Partial sums of typical multiplicative functions over short moving intervals

Mayank Pandey, Victor Y. Wang, Max Wenqiang Xu

Moduli of linear slices of high degree smooth hypersurfaces

Anand Patel, Eric Riedl, Dennis Tseng

Maximal subgroups of exceptional groups and Quillen's dimension

Kevin I. Piterman

Locally analytic vector bundles on the Fargues-Fontaine curve

Gal Porat

Infinitesimal dilogarithm on curves over truncated polynomial rings

Sinan Unver

On the ordinary Hecke orbit conjecture

Pol van Hoften

Balmer spectra and Drinfeld centers

Kent B. Vashaw

Theta correspondence and simple factors in global Arthur parameters

Chenyan Wu

Prime values of $f(a,b^2)$ and $f(a,p^2)$, $f$ quadratic

Stanley Yao Xiao

$p$-groups, $p$-rank, and semi-stable reduction of coverings of curves

Yu Yang

Semi-stable models for some unitary Shimura varieties over ramified primes

Ioannis Zachos

Quotients of admissible formal schemes and adic spaces by finite groups

Bogdan Zavyalov