Bulletin of the London Mathematical Society

The Bulletin of the London Mathematical Society has been publishing leading research across a broad range of mathematics since 1969. The Bulletin welcomes all short papers of general or specialist interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity. 

Research articles accepted by the Bulletin are of high quality and well-written, with a maximum length of 20 pages. The Bulletin also publishes authoritative survey articles (of any length) and obituaries of distinguished mathematicians.

The Bulletin shares an Editorial Board with the Journal of the London Mathematical Society. The Journal publishes longer research articles (18 pages and above). Both journals employ the same high standard of peer review.

The Bulletin is wholly owned and managed by the London Mathematical Society. All surplus income from its publishing programme is used to support mathematicians and mathematics research in the form of research grants, conference grants, prizes, initiatives for early career researchers, and the promotion of mathematics.

The Society also owns and manages other general mathematics journals, for example:

• The Society's flagship title, the Proceedings,
• The Transactions, a fully open access journal that welcomes papers with an emphasis on excellent exposition of research which explores the interconnectedness of pure mathematics or extends the boundaries of its applicability.

• You may submit a paper electronically as a single PDF file. Please keep the .tex file that precisely corresponds to the PDF version that you are submitting. If your paper is accepted, we will require that particular version of the .tex file. Please do not send the .tex file at this time.
• The Editorial Board is organised into 7 subject-based sections, each with a number of Editors under a subject Section Editor who has the authority to accept papers for publication. Please choose the specific subject area and Editor you feel is closest to the subject of your paper. (Note that papers may be re-assigned to another Editor when appropriate.)
• Corresponding authors are asked to provide their ORCID iD as part of the submission process; those without an ORCID iD will be shown how to obtain one. This can be done in just a minute or two via the website https://orcid.org.
• All Research articles published in the Bulletin are peer reviewed. Editors may reject papers without external review.

  The Bulletin and Journal of the London Mathematical Society share an Editorial Board.

• The Bulletin publishes shorter research articles  (20 pages and below) 
• The Journal publishes longer research articles (18 pages and above)

Papers should be submitted to the London Mathematical Society, naming the most appropriate member of the Editorial Board to whom the paper should be forwarded. Please note papers may be reassigned to a different Board Member during the review process. 

Subject sections

The Editorial Board is organised into 7 subject-based sections, each with a Section Editor who has the authority to accept papers for publication.

Click on the appropriate subject heading below to view the list of Editors in each section. 

(Occasionally an Editor listed here may reach full capacity and may not be available when you submit. If this is the case, please choose another Editor.)

Algebra

Section Editor: Srikanth Iyengar (University of Utah, USA) Editors: Michael Bate (University of York, UK)  Algebraic groups, representation theory, and geometric invariant theory Pierre-Emmanuel Caprace* (Université Catholique de Louvain, Belgium)  Group Theory Xiao-Wu Chen (University of Science and Technology of China, China)  Representation theory and homological algebra Ben Davison (University of Edinburgh, UK)  Representation theory and algebraic geometry Charles Eaton (University of Manchester, UK)  Finite groups and representation theory Bettina Eick (Technische Universität Braunschweig, Germany)  Computational algebra Christof Geiss (Universidad Nacional Autónoma de México, Mexico)  Algebra and representation theory Aaron Lauda (University of Southern California, USA)  Representation theory and quantum topology Wendy Lowen (University of Antwerp, Belgium) Category theory and homological algebra, algebraic geometry Linquan Ma (Purdue University, USA)  Commutative algebra and singularity theory Gerhard Röhrle (Ruhr-Universität Bochum, Germany) Algebraic groups and finite groups of Lie type, hyperplane arrangements Ralf Schiffler (University of Connecticut, USA)  Representation theory and combinatorics

*Professor Caprace is currently on leave from his editorial work.

Analysis

Section Editor: Nadia Larsen (University of Oslo, Norway) Editors: Michael Brannan (University of Waterloo, Canada)  Operator algebras, quantum information theory and free probability Alexandros Eskenazis (CNRS, France)  Metric geometry, discrete analysis, geometric functional analysis Jens Kaad (University of Southern Denmark, Denmark) Noncommutative geometry, K-theory and operator algebras (including cyclic theory and KK-theory) Greg Knese (Washington University, USA)  Operator theory and complex analysis Nadia Larsen (University of Oslo, Norway)  Operator algebras Olga Maleva (University of Birmingham, UK)  Functional analysis, Banach spaces and geometric measure theory Gaven Martin (Massey University, New Zealand)  Complex analysis and complex dynamics Brett Wick (Washington University, USA)  Harmonic analysis, operator theory and function theory Ruixiang Zhang (University of California Berkeley, USA)  Harmonic analysis Włodzimierz Zwonek (Jagiellonian University, Poland)  Complex analysis and pluripotential theory

Combinatorics, Discrete Mathematics and Logic

Section Editor: Alex Fink (Queen Mary University of London, UK) Editors: Joan Bagaria (University of Barcelona, Spain)  Set theory David Conlon (California Institute of Technology, USA)  Combinatorics Alex Fink (Queen Mary University of London, UK)  Algebraic combinatorics Jonathan Kirby (University of East Anglia, UK)  Logic and connections with algebra, geometry and number theory Daniel Král' (Masaryk University, Czech Republic)  Combinatorics Andrew Marks (University of California Berkeley, USA)  Descriptive set theory and computability theory Alex Scott (University of Oxford, UK)  Combinatorics and graph theory Michael Shulman (University of San Diego, USA)  Type theory and category theory

Geometry and Topology

Section Editor: Arend Bayer (University of Edinburgh, UK) Editors: Gregory Arone (Stockholm University, Sweden)  Homotopy theory and algebraic topology Arthur Bartels (University of Münster, Germany)  K-theory and geometric topology Paolo Cascini (Imperial College London, UK)  Algebraic geometry Tudor Dimoftee (University of Edinburgh, UK) Algebra, geometry and topology in quantum field theory and string theory Emanuele Dotto (University of Warwick, UK) Homotopy theory, higher categories and homotopical algebra Viveka Erlandsson (University of Bristol, UK) Low-dimensional topology and geometry, Teichmüller theory, mapping class groups and geometric group theory Javier Fernández de Bobadilla (BCAM, Spain)  Singularity theory and algebraic geometry  Joel Fine (Université Libre de Bruxelles, Belgium)  Differential geometry, geometric analysis and global analysis Hansjörg Geiges (University of Cologne, Germany)  Symplectic and contact topology Daniel Groves (University of Illinois at Chicago, USA)  Geometric group theory Anne-Sophie Kaloghiros (Brunel University London, UK)  Algebraic geometry and birational geometry Dawid Kielak (University of Oxford, UK)  Geometric group theory Hannah Markwig (Eberhard Karls University of Tübingen, Germany)  Tropical geometry, polyhedral geometry and toric geometry Brendan Owens (University of Glasgow, UK) Low-dimensional topology Jonathan Pridham (University of Edinburgh, UK)  Derived algebraic geometry and homotopical algebra Julius Ross (University of Illinois at Chicago, USA)  Algebraic and differential geometry Stefan Schreieder (Leibniz Universität Hannover, Germany)  Algebraic geometry Benoit Vicedo (University of York, UK)  Integrable systems and mathematical physics

Number Theory

Section Editor: Jack Thorne (University of Cambridge, UK) Editors: Sam Chow (University of Warwick, UK) Diophantine approximation, analytic number theory, arithmetic combinatorics Jessica Fintzen (University of Bonn, Germany)  Representation theory and the Langlands correspondence Tom Fisher (University of Cambridge, UK)  Computational number theory Kevin Ford (University of Illinois Urbana-Champaign, USA)  Analytic number theory Andreas Langer (University of Exeter, UK)  p-adic arithmetic geometry Bao V. Le Hung (Northwestern University, USA)  Algebraic number theory Daniel Loughran (University of Bath, UK)  Arithmetic and Diophantine geometry Paul Nelson (Aarhus University, Denmark)  Analytic number theory, automorphic forms and representation theory Rachel Newton (King's College London, UK)  Rational points and local–global principles Martin Orr (University of Manchester, UK)  Arithmetic and Diophantine geometry

Partial Differential Equations and Geometric and Numerical Analysis

Section Editor: José Carrillo (University of Oxford, UK) Editors: Sabine Boegli (Durham University, UK)  Spectral theory of linear differential equations José Carrillo (University of Oxford, UK)  Nonlinear PDEs, numerical analysis of PDEs and calculus of variations Gui-Qiang Chen (University of Oxford, UK)  Nonlinear PDEs and nonlinear analysis Tobias Lamm (Karlsruhe Institute of Technology, Germany)  Calculus of variations, geometric analysis and PDEs Maria del Mar Gonzalez Nogueras (Universidad Autónoma de Madrid, Spain) Conformal geometry, partial differential equations, non-local operators Marco Marletta (Cardiff University, UK)  Ordinary and partial differential equations Monica Musso (University of Bath, UK)  Nonlinear analysis and PDEs Lucia Scardia (Heriot-Watt University, UK)  Calculus of variations, harmonic analysis Felix Schulze (University of Warwick, UK)  Differential geometry, geometric analysis and PDEs Endre Süli (University of Oxford, UK)  Nonlinear PDEs and numerical analysis of PDEs Francoise Tisseur (University of Manchester, UK)  Numerical analysis and matrix analysis Tong Yang (The Hong Kong Polytechnic University, Hong Kong)  Nonlinear PDEs and kinetic theory

Probability, Stochastic Analysis and Dynamical Systems 

Section Editor: Amanda Turner (University of Leeds, UK) Editors: Thomas Cass (Imperial College London, UK)  Probability, stochastic and rough analysis  Núria Fagella (Universitat de Barcelona, Spain)  Complex dynamical systems  Tamara Grava (University of Bristol, UK)  Mathematical physics, integrable systems, random matrices Mariusz Mirek (Rutgers University, USA)  Discrete and Fourier analysis and ergodic theory Mary Rees (University of Liverpool, UK)  Complex dynamics and dynamics Mike Todd (University of St Andrews, UK)  Ergodic theory and dynamical systems Dmitry Turaev (Imperial College London,  UK)  Dynamical systems Amanda Turner (University of Leeds, UK)  Probability and stochastic analysis Peter Varjú (University of Cambridge, UK)  Discrete analysis, random walks and fractal geometry Yilin Wang (IHÉS, University of Paris Saclay, France)  Random conformal geometry, complex analysis, geometric function theory Nikos Zygouras (University of Warwick, UK)  Probability theory

When evaluating papers, the Editorial Board considers a number of criteria such as novelty, innovation, significance, and advancement of the field of research. Specialist papers should have a motivating introduction that sets the work in context and can be understood by researchers outside the immediate specialism of the paper. (For Survey Articles, see the separate heading below.) 

The Editorial Board and/or Section Editors will make an initial assessment of all papers against these criteria and typically send for a full review only those papers which, in their professional judgement, are likely to meet expected standards for the Bulletin. Preliminary expert opinions may be sought as part of this assessment step.

• Papers should be submitted in English or French.
• Each paper must be submitted exclusively to one journal.
• No paper that has been previously published, or which is being considered for publication elsewhere, should be submitted to the London Mathematical Society.
• Nor may a paper that is under consideration by the London Mathematical Society be submitted elsewhere.
• By submitting your manuscript to this journal you accept that it may be screened for plagiarism against previously published works.

For more information about submitting a paper to this journal, please see these guides:

• The BLMS Author Guide covers common practices in peer review as well as specific procedures and explanations of the EditFlow paper management system.

• The London Mathematical Society has adopted an ethical policy for its journals, including guidance on the expected behaviour of authors, referees and editors. The full policy can be found here. The Society is also in agreement with the principles of the EMS Code of Practice.

Content published in the Bulletin is selected based on merit alone and irrespective of nationality, geographic location, ethnicity, political beliefs, race, or religion of the authors. Publication in the Bulletin of individual authors' work does not constitute endorsement by the London Mathematical Society of the policies or actions of any government or other agencies.

Revised versions
If you wish to upload a revision of a previously submitted article, please do not use the link above. Instead, use the status link contained in the email you received from us about your previous submission. If you cannot find the link, then contact lmsjournals@lms.ac.uk.

The Editors prefer not to consider multiple versions of the same paper before a decision on the first version is sent, particularly if the changes are minor. If you have received a letter that firmly rejects your paper and does not mention that a resubmission would be considered, you would be advised to submit any revision of your paper to another journal.

The LMS uses the journal management software EditFlow, a registered trademark of Mathematical Sciences Publishers. Further information about the EditFlow software is available here.

Recently published articles (Early View)

Online Archive of all issues published 1969–present

Please note that LMS Members can opt to receive online access to the Bulletin for their own personal use. Members can subscribe by logging into their LMS Membership Profile, or by sending the annual membership renewal form directly to the London Mathematical Society.

The Bulletin has published authoritative survey articles since its launch in 1969. Since January 2020 most  Surveys have been published open access subject to the authors' agreement. 

The London Mathematical Society acknowledges support from a legacy by Frank Gerrish in the publication of expository articles and surveys where institutional funds are not available.

The Managing Editors of the Bulletin welcome submissions of Survey articles via the Bulletin EditFlow site selecting "survey" as your article type.

The intention is that each survey article should be an in-depth, authoritative overview of the state of the subject, of interest to newcomers as well as experts and, ideally, one that would become a standard reference. Such surveys may contain full proofs, pieces of original research or unorthodox points of view on known results, and can be of any length.

A collection of recent Survey articles (2010 – present) is hosted on Wiley Online Library.

Click here to subscribe to this journal or renew your current subscription.

LMS Members can receive free online access to the Bulletin, Journal, and Proceedings of the LMS, if they have signed up for free online access via their LMS membership record. Free online access to these three journals can be activated via their LMS Membership Profile here: www.lms.ac.uk/user and selecting their preferred journals under the “My LMS Membership” tab. The LMS will then notify Wiley, who will then issue members with a username and password to login to the Wiley Online Library.

Statement on pricing.   The Society takes care to maintain reasonable and ethical pricing, including free online access for LMS members and for institutions in developing countries.  Base subscription prices of individual journals are decided each year based on a balance of criteria reflecting the value to readers and authors. In order to sustain in real terms the funding of the Society’s charitable activities, in cases where other indicators are equal, the LMS will normally only increase the base journal subscription prices in line with inflation. More information is available on the Society’s webpage, www.lms.ac.uk/statement-pricing.

Green Open Access/self-archiving

The author, institution or publisher places a version of the article online in a repository or website after publishing in a subscription-based journal – making it freely available to everyone.

Authors may (continue to) post electronic versions of their article up to the version initially accepted for publication‡ on the author’s personal website, in a not-for-profit subject-based preprint server or repository, or in a Scholarly Collaboration Network (SCN) that has signed up to the STM article sharing principles, or in the author’s company/institutional repository or archive. This right extends to both intranets and the Internet. The accepted version must be accompanied by a legend as follows: “This is the accepted version of the following article: FULL CITE, which has been published in final form at [Link to final article].”

‡ These self-archiving rights do not extend to the final, published version except where the article is published with the paid Open Access option. 

Gold Open Access

Authors can opt to make their final published article immediately free to read and reuse by others.  An article processing charge (APC) is applicable, typically met by an author's institution or funder. The current APC for the Bulletin is $3,930/ £2,620/ €3,280

License alternatives:

• CC BY (Creative Commons Attribution License)
• CC BY-NC (Creative Commons Attribution NonCommercial License)
• CC BY-NC-ND (Creative Commons Attribution NonCommercial No Derivative Works License

Once an article is accepted, the corresponding author can opt for OnlineOpen from the Wiley Author Services Dashboard.  A link and instructions will be sent to you after acceptance, step-by-step instructions can be found on the How to Order OnlineOpen page.

Funder requirements

Your funder or institution may require you to publish Gold or Green Open Access. Wiley has an Author Compliance Tool to check the policies of your funder or institution. Some funders have arrangements in place to simplify the payment of APCs. Details of Wiley's agreements with major funders can be found on their Funder Agreements page.

As of July 2017, subscribers of the Bulletin, Journal and Proceedings of the London Mathematical Society, and the Journal of Topology, are able to share content with each other in a new way.

Our publishing partner, Wiley, has introduced a ‘peer-to-peer’ sharing initiative on their Online Library, where articles published in these journals are accessed digitally. Subscribers (with existing full-text access to the journals) can generate a URL that can be shared with other readers in the form of an ePDF provided by academic paper manager ReadCube.

When shared with a fellow subscriber, the URL provides an unrestricted view of the electronic PDF and the usual ability to download or print it; a non-subscriber is granted restricted access to a read-only PDF with no print or download privileges.

This new way to share articles should benefit researchers, institutions and society as a whole, facilitating collaboration and hopefully achieving a wider readership and impact of research.

Upon acceptance, your paper will be sent to Wiley for typesetting. You will receive a link to check your proofs via an online proofing tool. There is also an option to view these proofs as a PDF (using a button in the top right-hand corner of the tool). Production queries should be sent to blms@wiley.com (Wiley) or production@lms.ac.uk (LMS Editorial Office).

Authors will be asked to agree to assign an Exclusive Licence to Publish to the Society or alternatively to opt to make the paper Open Access.

Your funder or institution may require you to publish gold or green open access. Wiley has an Author Compliance Tool to check the policies of your funder or institution. Eligibility for open access agreements between Wiley and institutions is typically determined by the affiliation of the corresponding author. The LMS Editorial Office can assist authors in navigating open access requirements. 

Please email the LMS Publications staff via lmsjournals@lms.ac.uk if you have any questions.