Bulletin de la Société Mathématique de France

Bulletin de la Société Mathématique de France is a long-established scholarly journal published by the Société Mathématique de France that presents research in pure and applied Mathematics through articles, notes, and surveys. Founded in the 19th century, the journal has published contributions from many leading mathematicians associated with institutions such as the École Normale Supérieure, the Université Paris-Saclay, and the Collège de France. Its pages have featured work connected to influential developments tied to figures and organizations including Henri Poincaré, Élie Cartan, André Weil, and the Institut des Hautes Études Scientifiques.

History

The journal traces origins to the formation of the Société Mathématique de France in the milieu of the Third Republic and was shaped by contemporaneous institutions like the Académie des Sciences, the École Polytechnique, and the Sorbonne. Early volumes contained communications by members affiliated with the École Normale Supérieure de Lyon and exchanges that paralleled meetings of the International Congress of Mathematicians and correspondence among scholars in Paris, Lyon, and Toulouse. Over decades the Bulletin reflected mathematical currents connected to the work of Sophie Germain’s legacy, the algebraic investigations of Évariste Galois as revived by modern editors, and analysis linked to the traditions found at the Collège Sainte-Barbe and the Laboratoire de Mathématiques d'Orsay. Twentieth-century shifts included interactions with émigré mathematicians from Czechoslovakia, Poland, and Russia and engagement with postwar programs at the Centre National de la Recherche Scientifique and the University of Strasbourg.

Scope and content

The Bulletin publishes research articles that span topics historically cultivated in French mathematics: complex analysis associated with Bernard Julia and Pierre Fatou; algebraic geometry connected to Alexandre Grothendieck, Jean-Pierre Serre, and André Weil; differential geometry in the lineage of Élie Cartan and Georges Valiron; number theory related to Henri Lebesgue’s successors; and partial differential equations in the tradition of Jacques Hadamard and Sergiu Klainerman. It also includes work on representation theory reflecting influences from Claude Chevalley and Harish-Chandra, homological methods echoing Henri Cartan, and probability theory connected to Paul Lévy and André Kolmogorov. Survey articles have discussed themes tied to the Bourbaki group, interactions with the International Mathematical Union, and cross-disciplinary links with institutions such as the Collège de France and the Institut Fourier.

Publication and editorial information

Published by the Société Mathématique de France, the Bulletin has editorial ties to editorial boards drawn from the École Normale Supérieure, the Université Pierre et Marie Curie, and the Université Paris 13. Editors have included mathematicians who were members of the Académie des Sciences or affiliated with the Institut Universitaire de France. The journal's production and distribution have involved partnerships with French libraries like the Bibliothèque nationale de France and academic publishers connected to networks spanning the European Mathematical Society and the American Mathematical Society. The Bulletin’s format has evolved in line with library cataloguing standards of the International Standard Serial Number system and with archiving practices used by repositories such as those run by the CNRS.

Notable articles and contributors

Contributors across generations have included names associated with major results and programs: early expositions by figures in the circle of Henri Poincaré and Émile Picard; mid-century papers related to the work of Jean Leray, Jacques Hadamard, and Jean-Pierre Serre; later contributions linked to Alexander Grothendieck’s school, René Thom’s catastrophe theory, and research by Laurent Schwartz and Sophie Morel. The Bulletin has carried papers that complement results found in journals like Annales Scientifiques de l'École Normale Supérieure and Comptes Rendus de l'Académie des Sciences, and articles have been cited alongside work published through the Proceedings of the London Mathematical Society, Inventiones Mathematicae, and Acta Mathematica. The list of contributors includes mathematicians associated with the Institut des Hautes Études Scientifiques, the Max Planck Institute for Mathematics, and the Courant Institute.

Abstracting and indexing

The Bulletin is indexed in major bibliographic services used by researchers at institutions such as the University of Cambridge, Harvard University, and the University of Tokyo, and it appears in the databases maintained by organizations like the Zentralblatt MATH and the Mathematical Reviews of the American Mathematical Society. It is discoverable through library catalogues of the Bibliothèque nationale de France, the British Library, and the Library of Congress, and is included in indexing platforms used by the European Mathematical Society and the Institute of Mathematical Statistics. Archival records reference holdings in university libraries at the Université de Bordeaux, the École Normale Supérieure de Cachan, and the University of Oxford.

Category:Mathematics journals Category:Publications established in 1873