Compositio Mathematica

Compositio Mathematica
Title	Compositio Mathematica
Discipline	Mathematics
Abbreviation	Compositio Math.
Publisher	London Mathematical Society / Cambridge University Press
Country	United Kingdom
History	1935–present
Frequency	Monthly
Issn	0010-437X
Eissn	1572-9080

Compositio Mathematica Compositio Mathematica is a peer‑reviewed mathematical journal founded in 1935 that publishes research articles in pure mathematics. It has appeared alongside journals such as Acta Mathematica, Annals of Mathematics, Inventiones Mathematicae, Journal of the American Mathematical Society, and Mathematical Proceedings of the Cambridge Philosophical Society. The journal has been associated with notable figures and institutions including Henri Lebesgue, David Hilbert, Émile Picard, L. E. J. Brouwer, Hermann Weyl, and organizations such as the Royal Society, French Academy of Sciences, European Mathematical Society, and London Mathematical Society.

History

Founded in 1935 by Émile Borel and other European mathematicians, the journal emerged in the interwar period alongside publications like Bulletin des Sciences Mathématiques, Comptes rendus de l'Académie des Sciences, Mathematische Annalen, Journal für die reine und angewandte Mathematik, and Archiv der Mathematik. Early decades saw contributions from authors connected to Élie Cartan, Évariste Galois’s lineage, André Weil, Jean Leray, and Paul Lévy. During World War II the international mathematical community—represented by figures such as Norbert Wiener, John von Neumann, Kurt Gödel, Emmy Noether, and André Weil—experienced disruptions reflected across periodicals like Proceedings of the National Academy of Sciences and Transactions of the American Mathematical Society. Postwar reconstruction involved exchanges with institutions including Institute for Advanced Study, Université Paris-Sorbonne, University of Göttingen, Princeton University, and Cambridge University Press which later became involved in distribution and editorial arrangements.

Scope and Editorial Policy

The journal focuses on original research in pure mathematics, overlapping with subjects treated in journals such as Geometry & Topology, Duke Mathematical Journal, Topology, Combinatorica, and Journal of Differential Geometry. It solicits articles in areas historically represented by authors from schools like Bourbaki, Princeton School, Sefton School, Moscow School of Mathematics and Mechanics, and Hilbert School. Editorial policy emphasizes rigor and originality, akin to standards upheld by Mathematical Reviews, Zentralblatt MATH, Clay Mathematics Institute prize standards, and editorial practices of Elsevier and Springer Verlag journals. The scope includes algebraic geometry, number theory, complex analysis, topology, and representation theory—fields cultivated by mathematicians such as Alexander Grothendieck, Jean-Pierre Serre, Bernhard Riemann, Carl Friedrich Gauss, Erwin Schrödinger’s mathematical contemporaries, Harish-Chandra, Michael Atiyah, and Isadore Singer.

Notable Publications and Impact

The journal has published influential papers comparable in impact to works appearing in Annales scientifiques de l'École Normale Supérieure, Acta Arithmetica, Proceedings of the London Mathematical Society, Bulletin of the American Mathematical Society, and Inventiones Mathematicae. Landmark articles have been cited alongside results by André Weil, Alexander Grothendieck, Jean-Pierre Serre, Pierre Deligne, Goro Shimura, Yuri Manin, John Tate, George Lusztig, Shing-Tung Yau, and Edward Witten. Contributions in areas such as the Birch and Swinnerton-Dyer conjecture, modular forms, arithmetic geometry, mirror symmetry, and Langlands program align the journal with research threads involving Andrew Wiles, Gerhard Frey, Richard Taylor, Robert Langlands, Pierre-Louis Lions, and Simon Donaldson. The journal’s articles have influenced curricula at institutions like Harvard University, Stanford University, Massachusetts Institute of Technology, École Normale Supérieure, and Université de Paris and have been frequently reviewed in Mathematical Reviews and Zentralblatt MATH.

Editorial Board and Peer Review Process

The editorial board comprises established scholars and emeritus editors with affiliations to universities and research centers such as University of Cambridge, University of Oxford, ETH Zurich, Princeton University, Imperial College London, École Polytechnique, University of Bonn, University of Tokyo, and National University of Singapore. Manuscripts undergo initial editorial screening and double‑blind or single‑blind peer review with referees drawn from networks including members of European Mathematical Society, American Mathematical Society, Society for Industrial and Applied Mathematics, and leading research laboratories like Institut des Hautes Études Scientifiques, Max Planck Institute for Mathematics, and RIMS. The process mirrors peer review practices used by Nature Mathematics-adjacent outlets and major university presses, emphasizing statistical integrity and reproducibility standards promoted by bodies such as the Royal Society.

Abstracting and Indexing

The journal is abstracted and indexed in major databases alongside peer journals like Scopus, MathSciNet, Zentralblatt MATH, Web of Science, and Google Scholar. It appears in bibliographic services used by libraries at British Library, Library of Congress, Bibliothèque nationale de France, Deutsche Nationalbibliothek, and National Diet Library (Japan). Citation metrics and impact factors are tracked by indexing services such as Clarivate Analytics and ranking lists compiled by organizations including European Commission research portals and university ranking bodies.

Access, Subscription, and Open Access Policies

Access is via subscription through academic publishers and professional societies, paralleling subscription arrangements maintained by Cambridge University Press, Oxford University Press, Springer Nature, Elsevier, and Wiley-Blackwell. Institutional subscriptions are common at universities like Yale University, Columbia University, University of California Berkeley, University of Toronto, and Australian National University. The journal offers hybrid open access options consistent with funder mandates from agencies such as the European Research Council, National Science Foundation, Agence Nationale de la Recherche, and UK Research and Innovation. Archival access is maintained through repositories and services including JSTOR, Portico, and national scholarly archives administered by institutions like HAL (open archive), enabling long‑term preservation.

Category:Mathematics journals