Comptes Rendus Mathematique

Comptes Rendus Mathematique
Title	Comptes Rendus Mathématique
Discipline	Mathematics
Language	French, English
Abbreviation	C. R. Math.
Publisher	Académie des Sciences
Country	France
History	1835–present (series modernized)
Frequency	Weekly / various series
Issn	1631-073X

Contents

Comptes Rendus Mathematique is a peer-reviewed mathematics journal published by the Académie des Sciences in Paris, serving as a rapid communications venue and archival record for research across pure and applied branches. It evolved from the long tradition of the Comptes Rendus de l'Académie des Sciences and connects to historical dissemination practices associated with institutions such as the École Normale Supérieure, the Collège de France, and the Université Pierre et Marie Curie. The journal has featured contributions by figures linked to the Bourbaki group, the Institut Henri Poincaré, and international centers including the Max Planck Society and the Russian Academy of Sciences.

History

The lineage of the title traces to the nineteenth-century activities of the Académie des Sciences under leaderships influenced by personalities like Jean-Baptiste Dumas and François Arago, with parliamentary and scholarly contexts shaped by the July Monarchy and later the Third French Republic. In the twentieth century the journal intersected with the careers of mathematicians associated with Élie Cartan, Henri Poincaré, Émile Picard, and later André Weil, Jean-Pierre Serre, Alexander Grothendieck, and Laurent Schwartz; episodes involving wartime disruptions during the World War I and World War II affected publication cadence and editorial choices. The postwar reorganization of French research institutions, including the formation of the Centre National de la Recherche Scientifique and links to the Collège de France, influenced the journal's modern series structure and its role in rapid dissemination during the Cold War era when exchanges with the Academy of Sciences of the USSR and the National Academy of Sciences were salient.

The journal covers advances relevant to areas represented by contributors from the University of Cambridge, the Princeton University, the Massachusetts Institute of Technology, the Sorbonne University, and research centers such as the CERN mathematics group and the Institute for Advanced Study. Typical subjects include algebraic geometry linked to Grothendieck-era developments, functional analysis connected to work by Stefan Banach and John von Neumann, partial differential equations in the tradition of Sofia Kovalevskaya and Siméon Denis Poisson, number theory following themes from Carl Friedrich Gauss and Yuri Matiyasevich, and topology with ties to Henri Poincaré and Ralph H. Fox. The journal publishes short communications, extended notes, and occasional survey pieces that interact with research programs at the Clay Mathematics Institute, the European Mathematical Society, and national academies such as the Royal Society and the Deutsche Forschungsgemeinschaft-funded projects.

Editorial responsibilities are vested in scientific committees drawn from members of the Académie des Sciences and external scholars affiliated with institutions like the École Polytechnique, University of Oxford, Harvard University, and the University of Tokyo. The journal's series format mirrors the historic series split of the original Comptes Rendus, with peer review procedures comparable to those of journals published by societies such as the American Mathematical Society and publishing houses like Springer Science+Business Media and Elsevier. Editorial policy emphasizes rapid refereeing for short notes while maintaining standards exemplified by prize-awarding bodies such as the Fields Medal committees and the Abel Prize advisory panels.

Comptes Rendus Mathématique is indexed in mathematical and multidisciplinary databases utilized by researchers at the Institute for Scientific Information, the Mathematical Reviews/Zentralblatt MATH community, and aggregators serving libraries like the Bibliothèque nationale de France and the Library of Congress. Its contents are discoverable through indexing services maintained by organizations such as the European Library, the Agence Bibliographique de l'Enseignement Supérieur, and international citation indices associated with the Scopus and Web of Science platforms. Institutional repositories at universities like the University of California, ETH Zurich, and Peking University often mirror metadata for content discoverability.

The journal has carried concise announcements and developments by mathematicians whose work interlinks with landmark results connected to names such as Jean-Pierre Serre, Alexander Grothendieck, Jean-Christophe Yoccoz, William Thurston, Andrew Wiles, and Grigori Perelman. It has published communications addressing conjectures and theorems that resonate with research programs at the Institut des Hautes Études Scientifiques, the Mathematical Sciences Research Institute, and the Kavli Institute for the Physics and Mathematics of the Universe. Short notes reporting breakthroughs in areas like spectral theory, algebraic topology, and arithmetic geometry have been cited alongside foundational works in journals such as Annals of Mathematics, Inventiones Mathematicae, and Journal of the American Mathematical Society.

The journal is available in print and electronic formats managed by the Académie des Sciences and is accessible through institutional subscriptions held by universities including Stanford University, Columbia University, and the University of Melbourne. Back issues and current tables of contents are cataloged in national libraries such as the Bibliothèque nationale de France and the British Library, and the journal's metadata participates in open indexing initiatives promoted by the Directory of Open Access Journals and consortia involving the European Research Council and national research agencies like the Agence Nationale de la Recherche.

Category:Mathematics journals Category:Académie des Sciences (France)