Proceedings of the London Mathematical Society

The Proceedings of the London Mathematical Society is the Society’s flagship, highest impact,  peer-reviewed journal.

Published since 1865, the Proceedings of the London Mathematical Society publishes articles of the highest quality and significance across a broad range of mathematics. There are no page length restrictions for submitted papers

The Proceedings of the London Mathematical Society is wholly owned and managed by the London Mathematical Society as one of its charitable activities.

100% of the funds generated by the Society’s publications are reinvested in mathematics, supporting mathematicians and mathematics research in the form of research grants, conference grants, prizes, initiatives for early career researchers, and the promotion of mathematics.

Publishing your research in the Proceedings of the London Mathematical Society directly supports the charitable work of the Society.

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

• How to submit a paper
• Review Process

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.

All articles appearing in this journal are peer reviewed. Editors may reject papers without external review.

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

Please also see  the LMS Submission Portal Privacy Policy.

The Society also publishes other peer-reviewed journals. Unlike the Proceedings of the London Mathematical Society, these journals publish articles that are of specialist interest, as well as those of general interest to the mathematics community.

• The Bulletin of the London Mathematical Society publishes concise articles reporting significant advances in mathematical knowledge, as well as survey articles and obituaries.
• The Journal of the London Mathematical Society publishes longer articles reporting significant advances in mathematical knowledge.
• The Transactions of the London Mathematical Society is a fully open access journal which publishes articles across the full range of mathematics.

The Society also publishes the Journal of Topology, which is dedicated to articles of high quality and significance in topology, geometry and adjacent areas of mathematics.

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 plms@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. 

The Proceedings of the London Mathematical Society is a hybrid open access journal. By default, articles in the journal will be published on a subscription basis and only be accessible to journal subscribers. The journal has options for gold and green open access publication.

Before submitting to the Proceedings of the London Mathematical Society, authors should check any open access requirements from their institution or funder.

If you are required to publish on an open access basis but you cannot identify a compliant route with Proceedings of the London Mathematical Society, please contact the journal team before submitting.

Gold open access publication

Gold open access means that the Article Version of Record is freely available to access immediately upon publication and re-use rights are governed by the author’s chosen Creative Commons licence.

Gold open access publication is available for authors who:

• Qualify for complementary gold open access publication through an institutional agreement with Wiley; or
• Choose to pay an Article Publication Charge (APC).
  USD 4,700 | GBP 3,120 | EUR 3,880

Authors choosing to publish on a gold open access basis will need to choose a Creative Commons licence from the following list.

• CC-BY 4.0 (Attribution 4.0 International License)
• CC-BY-NC 4.0 (Attribution-NonCommercial 4.0 International License)
• CC-BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivs 4.0 International License)

Green open access

The Proceedings of the London Mathematical Society also supports authors who choose to deposit their Author Accepted Manuscript on a non-commercial or institutional repository. This is usually known as green open access.

The Author Accepted Manuscript must be accompanied by a notice as follows: “This is the Author Accepted Manuscript version of the following article: [Full Citation], which has been published in final form at [Link to final article].”

There is no embargo period for posting the accepted version of the manuscript in arXiv or an institutional repository. 

Open Access Terminology

Article Version of Record – The final edited and typeset version of the article which is published in the journal.

Author Accepted Manuscript – The version of the article which was accepted by the journal editors after peer review, but has not yet been copyedited or typeset by the publisher.

Subscription publication – The Article Version of Record is published in the journal and is only accessible to journal subscribers.

Gold open access publication – The Article Version of Record is immediately freely available to access upon publication. Article re-use rights are governed by the author’s chosen Creative Commons licence.

Green open access publication – The article Version of Record is published as a Subscription publication. The author chooses to deposit the Author Accepted Manuscript on a non-commercial or institutional repository.

Article Publication Charge (APC) – A charge paid to the publisher to allow gold open access publication.

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

Members of the London Mathematical Society can receive free online access to the following publications if they have signed up for free online access via their LMS membership record.

• Bulletin of the London Mathematical Society
• Journal of the London Mathematical Society
• Proceedings of the London Mathematical Society

Free online access to these three journals can be activated via the LMS Membership Profile here: www.lms.ac.uk/user and selecting the 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.

Founded in 1865, the Proceedings is the flagship journal of the LMS.  Over its long history it has published many significant papers including those by Atiyah, Donaldson, Hardy, Ramanujan, Rayleigh and Turing

More recently, in 2019, a new, independent Editorial Board of international experts was appointed to identify papers of the highest quality and significance across a broad spectrum of mathematics. The aim of these changes was to further elevate the position of the journal and strengthen its position with relation to other top-flight mathematics journals.

Over the last three years the Proceedings Editorial Board have accepted many papers of high-quality and significance.  The Managing Editors, Tim Browning and Oscar Randal-Williams have chosen six such articles to highlight:

Symplectomorphisms with positive metric entropy
Artur Avila, Sylvain Crovisier and Amie Wilkinson
https://doi.org/10.1112/plms.12437
A general and deep result providing a complete answer to an old question of Mañé.

The density of polynomials of degree n over ℤp having exactly r roots in ℚp
Manjul Bhargava, John Cremona, Tom Fisher and Stevan Gajović
https://doi.org/10.1112/plms.12438
Some surprising and down to earth statements about roots of polynomials over ℤp.

Shift-invariance for vertex models and polymers
Alexei Borodin, Vadim Gorin and Michael Wheeler
https://doi.org/10.1112/plms.12427
This paper establishes some highly non-trivial invariance properties for a wide class of integrable models.

Complete Moduli of Cubic Threefolds and their Intermediate Jacobians
Sebastian Casalaina-Martin, Samuel Grushevsky, Klaus Hulek and Radu Laza
https://doi.org/10.1112/plms.12375
This paper solves an important algebraic geometry question about the Torelli map from the space of cubic threefolds.

Motivic Chern classes and K-theoretic stable envelopes
László M. Fehér, Richárd Rimányi, Andrzej Weber
https://doi.org/10.1112/plms.12374
An influential paper relating invariants of singular spaces to quantum groups.

Independent sets in hypergraphs with a forbidden link
Jacob Fox and Xiaoyu He
https://doi.org/10.1112/plms.12400
This work provides a solution to a 50-year-old problem of Erdős and Hajnal.