Papers which advance knowledge of mathematics, either pure or applied, will be considered by the Editorial Committee. The work must be original and not submitted to another journal.
Submission of manuscripts
Papers should be prepared in some form of TeX and submitted as a PDF.
Papers in languages other than English should be sent only after prior consultation with the Editor, who may be contacted at mpeditor@group.cam.ac.uk
When a paper has been accepted for publication the relevant TeX files of the final version, accompanied by a pdf file, should be uploaded on EditFlow, following the decision email. The class file, together with a guide, PSPguide.tex, and sample pages, can be downloaded here.
Preparation of manuscripts
A cover page should give the title, the author's name and institution, and a working email address.
Authors are asked to provide an abstract which should make sense independently of the main text. References should not be included in the abstract.
Authors are encouraged to check that where references are given, they are used in the text.
References
References should be collected at the end of the paper numbered in alphabetical order of the authors’ names. Where references are given, they should be used in the text. Titles of journals should be abbreviated as in Mathematical Reviews. The following examples show the preferred style for references to a paper in a journal, a paper in a proceedings volume, a book and an unpublished dissertation:
[1] R. E. SCHWARTZ. The optimal paper Moebius band. Ann of Math. 201 (2025), no. 1, 291--305.
[2] B. KRA. Ergodic methods in additive combinatorics. In Additive Combinatorics, CRM Proceedings and Lecture Notes vol. 43 (AMS, 2007), pp. 103--144.
[3] H. IWANIEC and E. KOWALSKI. Analytic Number Theory. AMS Colloquium Publications vol. 53 (American Mathematical Society, 2004).
[4] V. R. NEALE. Bracket quadratics as asymptotic bases for the natural numbers. PhD. thesis. Cambridge University (2011).
Supplementary Materials:
Supplementary materials will be published with the same metadata as your parent article, and are considered a formal part of the academic record, so cannot be retracted or modified other than via our article correction processes. Supplementary materials will not be typeset or copyedited, so should be supplied exactly as they are to appear online. Please make sure you are familiar with our detailed guidance on supplementary materials prior to submission.
Use of artificial intelligence (AI) tools
We acknowledge the increasing use of artificial intelligence (AI) tools in the research and writing processes. To ensure transparency, we expect any such use to be declared and described fully to readers, and to comply with our plagiarism policy and best practices regarding citation and acknowledgements. We do not consider artificial intelligence (AI) tools to meet the accountability requirements of authorship, and therefore generative AI tools such as ChatGPT and similar should not be listed as an author on any submitted content.
In particular, any use of an AI tool:
- to generate images within the manuscript should be accompanied by a full description of the process used, and declared clearly in the image caption(s)
- to generate text within the manuscript should be accompanied by a full description of the process used, include appropriate and valid references and citations, and be declared in the manuscript’s Acknowledgements.
- to analyse or extract insights from data or other materials, for example through the use of text and data mining, should be accompanied by a full description of the process used, including details and appropriate citation of any dataset(s) or other material analysed in all relevant and appropriate areas of the manuscript
- must not present ideas, words, data, or other material produced by third parties without appropriate acknowledgement or permission
Descriptions of AI processes used should include at minimum the version of the tool/algorithm used, where it can be accessed, any proprietary information relevant to the use of the tool/algorithm, any modifications of the tool made by the researchers (such as the addition of data to a tool’s public corpus), and the date(s) it was used for the purpose(s) described. Any relevant competing interests or potential bias arising as a consequence of the tool/algorithm’s use should be transparently declared and may be discussed in the article.
Author Hub
You can find guides for many aspects of publishing with Cambridge at Author Hub, our suite of resources for Cambridge authors.
English language editing services
Authors, particularly those whose first language is not English, may wish to have their English-language manuscripts checked by a native speaker before submission. This step is optional, but may help to ensure that the academic content of the paper is fully understood by the Editor and any reviewers.
In order to help prospective authors to prepare for submission and to reach their publication goals, Cambridge University Press offers a range of high-quality manuscript preparation services, including language editing. You can find out more on our language services page.
Please note that the use of any of these services is voluntary, and at the author's own expense. Use of these services does not guarantee that the manuscript will be accepted for publication, nor does it restrict the author to submitting to a Cambridge-published journal.