Transactions of the American Mathematical Society

Transactions of the American Mathematical Society
Title	Transactions of the American Mathematical Society
Abbreviation	Trans. Amer. Math. Soc.
Discipline	Mathematics
Publisher	American Mathematical Society
Country	United States
History	1900–present
Frequency	Monthly
Openaccess	Hybrid
Impact	2.0
ISSN	0002-9947
EISSN	1088-6850
Website	https://www.ams.org/journals/tran/
OCLC	01748042

Transactions of the American Mathematical Society. It is a premier peer-reviewed scientific journal published by the American Mathematical Society, dedicated to significant research across all areas of pure and applied mathematics. Established in 1900, it is one of the oldest continuously published mathematics journals in the United States and serves as a core publication for disseminating major mathematical advances. The journal maintains a rigorous editorial process and has published foundational works by many of the most influential mathematicians of the 20th and 21st centuries.

History and founding

The journal was founded in 1900 by the American Mathematical Society, an organization itself established in 1888 as the New York Mathematical Society. Its creation was driven by the need for a high-level research publication in North America to complement existing European journals like Mathematische Annalen and the Journal für die reine und angewandte Mathematik. The first managing editor was Thomas Scott Fiske, who also served as the Secretary of the American Mathematical Society. Early volumes featured contributions from prominent figures such as E. H. Moore, Oswald Veblen, and George David Birkhoff, helping to establish the research reputation of American mathematics. The publication has continued without interruption through both World War I and World War II, evolving in format and scope while maintaining its commitment to publishing substantial, in-depth research articles.

Scope and content

The journal publishes original research articles of major significance across all active areas of contemporary mathematics. This includes, but is not limited to, core disciplines like algebra, analysis, topology, geometry, number theory, and logic, as well as applied fields such as mathematical physics, probability theory, and scientific computing. Articles are typically lengthy and comprehensive, presenting complete theories or solving long-standing open problems. The editorial policy emphasizes depth and lasting importance, distinguishing it from more specialized or rapid-communication journals. All submissions undergo a stringent peer-review process managed by an editorial board of distinguished mathematicians from institutions worldwide, including Harvard University, the Massachusetts Institute of Technology, and the Institute for Advanced Study.

Abstracting and indexing

The journal is comprehensively abstracted and indexed in major scientific databases, ensuring global visibility for its published research. It is covered by services including Mathematical Reviews, Zentralblatt MATH, Science Citation Index Expanded, and Scopus. Its articles are also included in the JSTOR digital archive, providing historical access to its complete run from Volume 1. The journal's impact factor and other bibliometric data are tracked by Clarivate Analytics through its Web of Science platform. This extensive indexing facilitates citation tracking and integration into the broader scholarly communication network of disciplines like theoretical computer science and statistical mechanics.

Editors and editorial board

The editor-in-chief is appointed by the American Mathematical Society and oversees a large, specialized editorial board. Past editors-in-chief have included notable mathematicians such as Solomon Lefschetz, Deane Montgomery, and Hyman Bass. The current editorial board comprises dozens of leading scholars from prestigious institutions like the University of Chicago, Stanford University, and the École Normale Supérieure, each handling submissions in their specific expertise. The managing editor, based at the American Mathematical Society headquarters in Providence, Rhode Island, coordinates the daily operations and production process. This structure ensures that submissions are evaluated by experts aligned with the groundbreaking work of researchers like John Milnor or Maryam Mirzakhani.

Notable articles and impact

Throughout its history, the journal has published seminal papers that have shaped modern mathematics. Early landmark articles include George David Birkhoff's work on the ergodic theorem and Norbert Wiener's research on Brownian motion. In later decades, it featured John Nash's contributions to partial differential equations, Michael Freedman's work on the Poincaré conjecture in dimension four, and Jean Bourgain's results in harmonic analysis. The publication of Andrew Wiles's early modularity work connected to Fermat's Last Theorem also appeared here. These articles have received numerous citations and have been recognized by awards such as the Fields Medal, the Abel Prize, and the Wolf Prize in Mathematics, underscoring the journal's role in advancing the field.

Related publications

The American Mathematical Society publishes a family of journals that complement and intersect with its scope. These include the Proceedings of the American Mathematical Society for shorter research notes, the Journal of the American Mathematical Society for articles of broad interest, and the Memoirs of the American Mathematical Society for monograph-length works. Other related periodicals in the mathematical sciences include the Annals of Mathematics from Princeton University, Inventiones Mathematicae, and Publications Mathématiques de l'IHÉS. The society also publishes review journals like Bulletin of the American Mathematical Society and translation journals such as Mathematics of the USSR-Sbornik, creating an ecosystem for mathematical scholarship.

Category:American Mathematical Society academic journals Category:Mathematics journals Category:Publications established in 1900