Transactions of the American Mathematical Society

Transactions of the American Mathematical Society
Title	Transactions of the American Mathematical Society
Discipline	Mathematics
Abbreviation	Trans. Am. Math. Soc.
Publisher	American Mathematical Society
Country	United States
History	1900–present
Frequency	Bimonthly
Issn	0002-9947

Transactions of the American Mathematical Society is a peer-reviewed mathematical journal published by the American Mathematical Society addressing research in pure and applied mathematics broadly understood. The journal has published foundational work linked to scholars associated with institutions such as Harvard University, Princeton University, Massachusetts Institute of Technology, University of Cambridge, and University of Göttingen, and it has appeared alongside papers linked to awards such as the Fields Medal, Abel Prize, and Clay Research Award. Researchers affiliated with organizations like Institute for Advanced Study, National Science Foundation, Simons Foundation, European Research Council, and CNRS regularly submit work to the journal.

History

Founded near the turn of the 20th century, the journal emerged contemporaneously with the growth of the American Mathematical Society and the professionalization of mathematics in the United States. Early volumes featured contributions from mathematicians associated with Berkeley, Yale University, Columbia University, Johns Hopkins University, and University of Chicago, and connected to movements such as the rise of modern analysis represented by figures linked to Henri Poincaré, David Hilbert, Emmy Noether, Felix Klein, and Émile Borel. Throughout the 20th century the journal published work related to developments at centers like the Institut des Hautes Études Scientifiques, Moscow State University, Steklov Institute, ETH Zurich, and École Polytechnique, reflecting global exchanges among mathematicians involved in events such as the International Congress of Mathematicians, interactions with prize-awarded research around the Riemann Hypothesis, and participation in collaborative programs tied to organizations including Society for Industrial and Applied Mathematics and Mathematical Association of America.

Scope and content

The journal covers research articles in areas historically central to the literature of real analysis, complex analysis, algebraic topology, differential geometry, partial differential equations, operator theory, number theory, algebraic geometry, combinatorics, probability theory, and mathematical logic. Typical papers engage with theories developed by figures associated with Carl Friedrich Gauss, Bernhard Riemann, Augustin-Louis Cauchy, Sofia Kovalevskaya, and Andrey Kolmogorov, and build on methods used in work from groups at University of Paris, University of Bonn, University of Milan, University of Tokyo, and Imperial College London. The journal also publishes research that interacts with applications arising from collaborations linked to Bell Labs, RAND Corporation, NASA, Los Alamos National Laboratory, and EU Framework Programme projects.

Editorial board and peer review

Editorial oversight is provided by an editorial board drawn from faculty at institutions such as Stanford University, University of California, Berkeley, University of Oxford, University of Chicago, and New York University. Manuscripts undergo peer review coordinated with referees associated with societies and centers including Royal Society, National Academy of Sciences, American Academy of Arts and Sciences, Royal Swedish Academy of Sciences, and panels connected to Simons Center for Geometry and Physics. Editors have included prominent mathematicians linked to awards like the Bôcher Prize, Cole Prize, and Leroy P. Steele Prize, and the peer-review workflow interacts with submission systems used broadly across publishers such as Cambridge University Press, Springer-Verlag, and Elsevier.

Publication format and frequency

The journal issues research articles in printed and electronic formats on a bimonthly schedule, maintaining pagination and citation practices consistent with other periodicals published by the American Mathematical Society. Production infrastructure involves typesetting traditions tied to systems influenced by TeX, Donald Knuth, and editorial practices paralleled at journals like Annals of Mathematics, Journal of the American Mathematical Society, and Proceedings of the National Academy of Sciences. Special issues and supplements occasionally parallel themed volumes organized in concert with conferences such as the International Congress of Mathematicians, workshops at the Mathematical Sciences Research Institute, and symposia hosted by the Fields Institute.

Impact and indexing

The journal is indexed in databases and services including MathSciNet, Zentralblatt MATH, Web of Science, Scopus, and library catalogues at institutions like Library of Congress and British Library. Citation metrics situate the journal alongside other leading titles such as Inventiones Mathematicae, Acta Mathematica, and Journal of the European Mathematical Society in assessments by agencies like Institute for Scientific Information and bibliometric analyses used by universities such as University of Michigan and University of Toronto. Its influence is reflected in citations to work linked to conjectures like the Poincaré Conjecture, Birch and Swinnerton-Dyer Conjecture, and problems related to Navier–Stokes equations.

Notable papers and contributors

The journal has published papers by mathematicians associated with landmark results and institutions: contributors connected to John von Neumann, Kurt Gödel, André Weil, Alexander Grothendieck, Raoul Bott, Jean-Pierre Serre, Michael Atiyah, Isabella Karle, and Maryam Mirzakhani have appeared in its pages or in closely related AMS journals. Influential articles have addressed topics resonant with work linked to Hilbert's Problems, Noether's theorem, Atiyah–Singer Index Theorem, Langlands Program, and studies tied to the Hodge Conjecture and Modular forms. The journal’s archive remains a resource for researchers at centers such as Courant Institute, Kremlin-linked institutions (historically via collaborations), Kleinert Institute (historical associations), and contemporary departments at Columbia University and University of California, Los Angeles.

Category:Mathematics journals