Proceedings of the American Mathematical Society

Proceedings of the American Mathematical Society
Title	Proceedings of the American Mathematical Society
Abbreviation	Proc. Amer. Math. Soc.
Discipline	Mathematics
Publisher	American Mathematical Society
Country	United States
Language	English
Founded	1950
Website	https://www.ams.org/journals/proc/
ISSN	0002-9939
EISSN	1088-6826

Proceedings of the American Mathematical Society. This premier research journal, published by the American Mathematical Society, serves as a rapid publication venue for original research across all areas of pure and applied mathematics. Established in the mid-20th century, it has become a central forum for mathematicians worldwide to disseminate significant, concise contributions. The journal maintains a rigorous peer-review process and is recognized for its high standards and influential role within the global mathematical community.

History and establishment

The journal was launched in 1950 under the auspices of the American Mathematical Society, an organization with roots extending back to the late 19th century. Its creation was part of a broader post-war expansion of mathematical publishing in the United States, responding to a growing volume of research. The founding editors were prominent figures from institutions like the University of Chicago and Harvard University, who shaped its initial direction. The publication filled a niche for shorter, focused research notes alongside the Society's more comprehensive journals, such as the Transactions of the American Mathematical Society.

Scope and content

The journal publishes short to medium-length research articles spanning the entire spectrum of contemporary mathematics. This includes core areas like algebraic geometry, topology, number theory, analysis, and probability theory, as well as applied fields intersecting with theoretical physics and computer science. Articles typically present complete, self-contained proofs of new results, brief but definitive research announcements, or innovative counterexamples. The scope is intentionally broad, reflecting the diverse research interests of the American Mathematical Society membership and the international community it serves.

Abstracting and indexing

The journal is comprehensively covered by major scientific databases, ensuring global discoverability of its contents. It is indexed in services including Mathematical Reviews (and its online database MathSciNet), Zentralblatt MATH, and the Science Citation Index Expanded. Its articles are also accessible through platforms like Scopus and Google Scholar. This wide indexing facilitates citation tracking and impact analysis, connecting its publications to the broader literature in fields from combinatorics to differential equations.

Editorial process

The journal operates under the guidance of an editor-in-chief, typically a distinguished mathematician from a major research university, assisted by a large board of associate editors specializing in various subfields. Manuscripts undergo a rigorous, single-blind peer review process managed by the editorial office of the American Mathematical Society. This system, designed for efficiency, aims to provide timely publication decisions while upholding the stringent quality standards associated with the Society. The editorial board has included renowned scholars from institutions like the Massachusetts Institute of Technology, the Institute for Advanced Study, and Stanford University.

Impact and recognition

The journal holds a respected position in mathematical literature, evidenced by its consistent impact factor and long-term inclusion in core indexing services. It is recognized for publishing foundational work that has influenced subsequent research in areas such as functional analysis, group theory, and dynamical systems. Its reputation for rapid yet meticulous review has made it a preferred venue for announcing important preliminary results. The journal's stature is reinforced by its association with the American Mathematical Society, a leader in scholarly publishing since the era of George David Birkhoff and Solomon Lefschetz.

Notable articles and authors

Over its decades of publication, the journal has featured seminal contributions from many leading mathematicians. Early issues included work by figures like John Milnor and Paul Cohen, whose research in topology and set theory, respectively, reshaped their fields. Other notable authors have included Michael Atiyah, Karen Uhlenbeck, and William Thurston, each publishing influential notes on topics ranging from gauge theory to low-dimensional topology. The journal has also been a platform for important results in combinatorial number theory by mathematicians like Paul Erdős and in partial differential equations by researchers such as Louis Nirenberg.

Category:Mathematics journals Category:American Mathematical Society academic journals Category:Publications established in 1950