Mathematical Proceedings is one of the few high-quality journals publishing original research papers that cover the whole range of pure and applied mathematics, theoretical physics and statistics. All branches of pure mathematics are covered, in particular logic and foundations, number theory, algebra, geometry, algebraic and geometric topology, classical and functional analysis, differential equations, probability and statistics. On the applied side, mechanics, mathematical physics, relativity and cosmology are included.What Mathematical Proceedings has to offer:
Aims and scope
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.Instructions for contributors
Download the Mathematical Proceedings of the Cambridge Philosophical Society instructions for contributors here: Download Instruction for Contributors in PDF.
Download the Mathematical Proceedings of the Cambridge Philosophical Society class file here.Submission of manuscripts
Papers should be submitted online.
Papers in languages other than English should be sent only after prior consultation with the Editor, who may be contacted at the e-mail address above.
When a paper has been accepted for publication the relevant TeX files of the final version, accompanied by a pdf file, should be sent to the Editor by e-mail.
The class file, together with a guide, PSP2egui.tex, and sample pages, PSP2esam.tex, can be downloaded here.
These files will be updated periodically: please ensure that you have the latest version.Preparation of manuscripts
Authors are strongly encouraged to prepare their manuscripts in LaTeX 2e using the PSP class file.
Papers produced in the recommended way can be printed directly from author-prepared electronic files: this substantially reduces errors at the printers. While the use of the PSP class file is preferred, other LaTeX or plain TeX files are also acceptable. In case standard electronic preparation is impossible papers may be typed, double-spaced, on one side of white paper (of which A4, 210 by 297mm, is a suitable size). The pages must be numbered. Margins of 30mm should be left at the side and bottom of each page.
A cover page should give the title, the author's name and institution, with the address to which mail should be sent.
The title, while brief, must be informative (e.g. A new proof of the prime number theorem, whereas, some applications of a theorem of G. H. Hardy would be useless).
Authors are asked to provide an abstract as a basis for a search on the Web. This may be an explicit abstract at the start of the paper. Otherwise, the first paragraph or two should form a summary of the main theme of the paper, providing an abstract intelligible to mathematicians. Please note that the abstract should be able to be read independently of the main text. References should therefore not be included in the abstract.
Authors are encouraged to check that where references are given, they are used in the text. Experience has shown that unused references have a habit of surviving into the final version of the manuscript.
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Mathematical Proceedings is one of the few high-quality journals publishing original research papers that cover the whole range of pure and applied mathematics, theoretical physics and statistics.
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Volcanoes are hazardous and beautiful manifestations of the dynamic processes that have shaped our planet. Volcanoes impact our environment in numerous ways. Over geological time volcanic activity has resurfaced the Earth and provided life with a terrestrial substrate upon which to proliferate. Volcanic degassing has shaped our secondary atmosphere and as part of the process of plate tectonics, maintained just the right amount of water and carbon dioxide at the surface to produce a stable and equitable climate. Magma in the subsurface in volcanic environments today gives Society geothermal energy. The fluids degassed from magmas in the plumbing systems of volcanoes give rise to hydrothermal ore deposits, the source of much of our copper and other metals, critical to the energy transition. In this lecture I will describe the nature and importance of magma degassing for our atmosphere and oceans, as a source of both pollutants and nutrients, and in the formation of mineral deposits. I will describe my own research in carrying out measurements of volcanic gases (using a range of spectroscopic methods, from the ground and using drones), and analysis of erupted lavas, to understand the chemistry and physics of volcanic outgassing and its role in sustaining our planetary environment.
One of the many outstanding achievements of G I Taylor was the discovery of relatively simple statistical laws that apply to highly complex turbulent flows. The emergence of simple laws from complexity is well known in other branches of physics, for example the emergence of the laws of heat conduction from molecular dynamics. Complexity can also arise at large scales, and the structural vibration of an aircraft or a car can be a surprisingly difficult phenomenon to analyse, partly because millions of degrees of freedom may be involved, and partly because the vibration can be extremely sensitive to small changes or imperfections in the system. In this talk it is shown that the prediction of vibration levels can be much simplified by the derivation and exploitation of emergent laws, analogous to some extent to the heat conduction equations, but with an added statistical aspect, as in turbulent flow. The emergent laws are discussed and their application to the design of aerospace, marine, and automotive structures is described. As an aside it will be shown that the same emergent theory can be applied to a range of problems involving electromagnetic fields.
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