American Journal of Mathematics

American Journal of Mathematics
Title	American Journal of Mathematics
Discipline	Mathematics
Language	English
Abbreviation	Am. J. Math.
Publisher	Johns Hopkins University Press
Country	United States
History	1878–present
Frequency	Bimonthly

American Journal of Mathematics The American Journal of Mathematics is a peer-reviewed scholarly periodical founded in 1878 and published by Johns Hopkins University Press. It has been associated with major figures and institutions in United States mathematical life such as Johns Hopkins University, Princeton University, Harvard University, Yale University, and University of Chicago. Over its history it has published work by mathematicians connected to École Normale Supérieure, University of Göttingen, University of Cambridge, University of Oxford, and other centers including Institut des Hautes Études Scientifiques and Courant Institute.

History

The journal was established in the late 19th century during a period that involved institutions like Massachusetts Institute of Technology, Columbia University, Brown University, Cornell University, and figures associated with American Mathematical Society and Mathematical Association of America. Early contributors included scholars linked to University of Pennsylvania, University of Michigan, Rice University, University of California, Berkeley, and Stanford University. In the 20th century the journal published work by or related to researchers from École Polytechnique, University of Paris, Moscow State University, Steklov Institute of Mathematics, Soviet Academy of Sciences, and names associated with International Congress of Mathematicians meetings. The journal’s editorial direction has intersected with developments tied to awards such as the Fields Medal, Abel Prize, Wolf Prize, Clay Research Award, and institutions like National Academy of Sciences and Royal Society. Historical episodes involve correspondence or scholarship connected to mathematicians who served at Institute for Advanced Study, S. S. Chern-related schools, and scholars who emigrated between Germany and the United States around events such as World War I and World War II.

Scope and Editorial Policy

The journal focuses on original research in pure mathematics, attracting submissions from scholars affiliated with places like Princeton University, Massachusetts Institute of Technology, University of California, Los Angeles, New York University, and University of Chicago. Its editorial policy emphasizes rigorous peer review, with refereeing practices informed by standards observed at Annals of Mathematics, Acta Mathematica, Journal of the American Mathematical Society, Inventiones Mathematicae, and Duke Mathematical Journal. Topics published include studies related to researchers from Institute for Advanced Study, Max Planck Institute for Mathematics, Kavli Institute for the Physics and Mathematics of the Universe, and work building on traditions from Hilbert, Noether, Poincaré, Riemann, and more recent schools connected to Grothendieck, Serre, and Deligne.

Notable Papers and Contributions

Published contributions have included foundational papers by mathematicians associated with Emmy Noether, David Hilbert, Bernhard Riemann-inspired research, and later advancements tied to scholars like John Nash, Andrew Wiles, Jean-Pierre Serre, Alexander Grothendieck, Karen Uhlenbeck, Edward Witten, Michael Atiyah, Isadore Singer, Simon Donaldson, Grigori Perelman, William Thurston, Srinivasa Ramanujan, G. H. Hardy, Norbert Wiener, Andrey Kolmogorov, Paul Erdős, Aleksandr Lyapunov, Stefan Banach, Hermann Weyl, Élie Cartan, Sophus Lie, Évariste Galois, Niels Henrik Abel, Augustin-Louis Cauchy, Joseph Fourier, Leonhard Euler, Carl Friedrich Gauss, James Clerk Maxwell, Pierre-Simon Laplace, Henri Poincaré, Friedrich Hirzebruch, John Milnor, Mikhail Gromov, Vladimir Drinfeld, Maxim Kontsevich, and Terence Tao-related themes. Topics have influenced areas tied to Langlands program, Hodge theory, Algebraic geometry, Number theory, Differential geometry, Partial differential equations, Representation theory, and intersections with research from Mathematical Institute, Oxford and Centre National de la Recherche Scientifique.

Editors and Editorial Board

Editorial leadership has historically included editors affiliated with Johns Hopkins University, Princeton University, Harvard University, Yale University, University of Chicago, Columbia University, and Brown University. Boards typically comprise scholars from University of Cambridge, University of Oxford, University of Bonn, ETH Zurich, École Normale Supérieure, Scuola Normale Superiore di Pisa, University of Tokyo, Tsinghua University, Peking University, Seoul National University, and other international research centers. The board selection and tenure practices reflect norms observed at American Mathematical Society, Royal Society, National Academy of Sciences, and publication models used by Cambridge University Press and Oxford University Press.

Publication and Accessibility

The journal is published by Johns Hopkins University Press with a bimonthly schedule and distribution channels that include academic libraries at Library of Congress, British Library, Bibliothèque nationale de France, and university libraries at Harvard College Library and Bodleian Library. It is indexed in bibliographic services alongside titles such as Mathematical Reviews, Zentralblatt MATH, and databases used by institutions like JSTOR and Project Euclid. Subscription and access policies interact with models from Open Access movements and publishing trends seen at Springer Nature, Elsevier, and American Mathematical Society journals.

Impact and Reception

The journal has sustained influence measured through citation patterns comparable to leading journals like Annals of Mathematics, Inventiones Mathematicae, Journal of the American Mathematical Society, and Communications on Pure and Applied Mathematics. Its reputation is reflected in the presence of contributions linked to recipients of Fields Medal, Abel Prize, Wolf Prize, Shaw Prize, and Chern Medal. The journal is cited in works associated with centers such as Institute for Advanced Study, Max Planck Institute for Mathematics, IHÉS, and academic programs influenced by curricula at Princeton University and Harvard University.

Category:Mathematics journals