About
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
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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.
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Before submitting an article to the Proceedings of the London Mathematical Society, we recommend that authors read the submission guidelines for the Proceedings.
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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
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Editor's Choice
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 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.
