Acta Mathematica

Acta Mathematica
Title	Acta Mathematica
Discipline	Mathematics
Language	Latin, Swedish, English, French, German
Abbreviation	Acta Math.
Publisher	Royal Swedish Academy of Sciences
Country	Sweden
History	1882–present
Frequency	Quarterly
Issn	0001-5962

Acta Mathematica Acta Mathematica is a scholarly journal in mathematics founded in the 19th century that publishes research across pure mathematics. Established under the aegis of Gösta Mittag-Leffler and supported by the Royal Swedish Academy of Sciences, the journal has featured contributions from leading figures such as Henri Poincaré, David Hilbert, Emmy Noether, and André Weil. Over its history it has disseminated work connected to institutions like the University of Stockholm, University of Göttingen, École Normale Supérieure, and events including the International Congress of Mathematicians.

History

Acta Mathematica was founded in 1882 by Gösta Mittag-Leffler with patronage from the Royal Swedish Academy of Sciences and benefaction linked to Scandinavian scientific networks including Uppsala University, Stockholm University, and figures from the Royal Society. Early volumes published seminal work by mathematicians associated with École Polytechnique, University of Paris, University of Königsberg, University of Berlin, and the Mathematical Institute, Oxford. Throughout the late 19th and early 20th centuries it printed articles by authors connected to Hermann Minkowski, Felix Klein, Bernhard Riemann, Sofia Kovalevskaya, and contributors from the University of Göttingen and Princeton University. During periods of political upheaval such as the aftermath of World War I and World War II, correspondence among editors involved institutions like the French Academy of Sciences, German Mathematical Society, and American Mathematical Society. In the postwar era the journal continued to attract manuscripts from scholars at Harvard University, Massachusetts Institute of Technology, Princeton University, ETH Zurich, University of Cambridge, and University of Oxford.

Scope and Publication

Acta Mathematica focuses on research in mathematics with an emphasis on original contributions in areas historically covered by contributors from analysis and geometry schools tied to names like Sofia Kovalevskaya, Élie Cartan, André Weil, Jean-Pierre Serre, and Alexander Grothendieck. The journal accepts submissions in topics associated with research groups at Institute for Advanced Study, Collège de France, Institut des Hautes Études Scientifiques, and departments such as Princeton University Department of Mathematics, Harvard Department of Mathematics, and University of Chicago Department of Mathematics. It appears quarterly under the auspices of the Royal Swedish Academy of Sciences and is produced through editorial procedures comparable to those at the American Mathematical Society journals, Springer Nature publications, and titles from Elsevier. The editorial process interacts with indexing services used by institutions such as Zentralblatt MATH, Mathematical Reviews, and university libraries including Bodleian Library and Bibliothèque nationale de France.

Editorial Board and Notable Editors

The editorial lineage includes founders and editors connected to Gösta Mittag-Leffler, with later editorial leadership featuring mathematicians affiliated with Uppsala University, Stockholm University, University of Göttingen, University of Paris, University of Copenhagen, and Ludwig Maximilian University of Munich. Editors and advisors have been members of national academies such as the Royal Swedish Academy of Sciences, French Academy of Sciences, Royal Society, National Academy of Sciences (United States), and Academy of Sciences of the USSR. The board has historically included correspondents and referees from institutions like University of Bonn, University of Vienna, University of Zurich, University of Milan, University of Berlin, Sorbonne University, and research institutes including Institute for Advanced Study and Institut Henri Poincaré.

Notable Articles and Contributions

Acta Mathematica has published landmark papers that influenced areas associated with mathematical luminaries. Seminal contributions include works connected to Henri Poincaré on celestial mechanics, papers by David Hilbert and ideas that intersect with the Hilbert problems, analyses by Sofia Kovalevskaya relating to partial differential equations, and articles by Emmy Noether influencing algebraic structures tied to University of Göttingen. Later influential contributions came from André Weil on number theory and algebraic geometry, Alexander Grothendieck on schemes, Jean-Pierre Serre on cohomology, and Atle Selberg on analytic number theory. Other authors whose work appeared or was connected to the journal include Marcel Riesz, Lars Ahlfors, Harald Bohr, Erwin Schrödinger in mathematical physics contexts, Norbert Wiener in harmonic analysis, John von Neumann in operator theory, Kurt Gödel in logic-related interactions, Einar Hille in functional analysis, Jürgen Moser in dynamical systems, Michael Atiyah in topology, Isadore Singer in index theory, Paul Cohen in set theory, and Vladimir Arnold in symplectic geometry.

Abstracting and Indexing

Acta Mathematica is indexed in bibliographic and abstracting services used by libraries and scholars worldwide, including Mathematical Reviews, Zentralblatt MATH, Web of Science, Scopus, and cataloguing systems of institutions such as the Library of Congress, Bibliothèque nationale de France, National Library of Sweden, and university repositories at Harvard University, University of Cambridge, University of Oxford, and Stanford University. Metadata for articles appears in bibliographic aggregators used by the European Mathematical Society, International Mathematical Union, American Mathematical Society, and research infrastructures like CrossRef and ORCID integrations managed by professional societies.

Reception and Impact on Mathematics

The journal's reputation is anchored by its publication of contributions tied to major mathematical figures and institutions including Élie Cartan, Felix Klein, Bernhard Riemann, David Hilbert, André Weil, Alexander Grothendieck, and Jean-Pierre Serre. Acta Mathematica articles have influenced research trajectories at departments such as Princeton University Department of Mathematics, Harvard Department of Mathematics, ETH Zurich, Université Pierre et Marie Curie, University of Göttingen, and research centers like Institut des Hautes Études Scientifiques and Institute for Advanced Study. Its role in disseminating work related to milestones found at the International Congress of Mathematicians, awards such as the Fields Medal, Abel Prize, Wolf Prize in Mathematics, and recognition via academies including the Royal Swedish Academy of Sciences underscores its enduring impact.

Category:Mathematics journals