Proceedings of the Steklov Institute of Mathematics

Proceedings of the Steklov Institute of Mathematics
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Title	Proceedings of the Steklov Institute of Mathematics
Abbreviation	Proc. Steklov Inst. Math.
Discipline	Mathematics
Language	Russian, English
Publisher	Steklov Institute of Mathematics of the Russian Academy of Sciences
Country	Russia
History	1931–present
Frequency	Quarterly
Issn	0081-5438

Proceedings of the Steklov Institute of Mathematics is a peer-reviewed scientific journal published by the Steklov Institute of Mathematics of the Russian Academy of Sciences. The journal publishes original research in Leonid Kantorovich-adjacent areas and contributions related to the work of mathematicians at the Steklov Institute, often bridging Russian and international mathematics communities including contributors associated with Moscow State University, Saint Petersburg State University, Harvard University, Princeton University Press, and Cambridge University Press. It has featured work connected to major research programs involving figures and institutions such as Andrey Kolmogorov, Alexander Alexandrov, Israel Gelfand, Sergei Novikov, Grigori Perelman, Andrey Ehremovich, and collaborations with groups from Institute for Advanced Study, Max Planck Society, CNRS, European Mathematical Society, and American Mathematical Society.

History

The journal was established in 1931 under the auspices of the USSR Academy of Sciences and the Steklov Institute as a venue to disseminate research in analysis, topology, and mathematical physics; early volumes included contributions by Sofia Kovalevskaya-inspired successors and contemporaries of Ivan Petrovsky, Lars Ahlfors, Nikolai Bogolyubov, Israel Gelfand, and Andrei Kolmogorov. During the Soviet Union period the publication navigated institutional changes tied to directives from the USSR Academy of Sciences and exchanges with organizations such as the Mathematical Society of the USSR and international entities like the International Mathematical Union; post-1991 transitions saw increased participation from scholars affiliated with University of Cambridge, University of Oxford, Massachusetts Institute of Technology, Stanford University, and research centers such as the Kavli Institute for the Physics and Mathematics of the Universe and Institute for Advanced Study. The journal’s archives document interactions with Nobel laureates and medalists connected to projects at Landau Institute for Theoretical Physics, Steklov Institute branches, and collaborations recognized by awards like the Fields Medal, Abel Prize, Wolf Prize, Shaw Prize, and the Chern Medal.

Editorial Scope and Content

Proceedings emphasizes rigorous research papers in functional analysis, partial differential equations, differential geometry, topology, mathematical physics, algebraic geometry, and applied areas related to institutes such as the Landau Institute and the Keldysh Institute of Applied Mathematics. Typical articles address problems related to namesakes and schools of L. D. Landau, Pafnuty Chebyshev, Serguei Sobolev, Lazarus Faddeev, Yakov Sinai, Victor Arnold, Mikhail Gromov, Igor Shafarevich, Alexander Beilinson, David Kazhdan, George Lusztig, and Maxim Kontsevich. The journal has published expository surveys, original proofs, and translated works from Russian into English to reach audiences at Princeton University, Yale University, University of Chicago, Columbia University, and international mathematical centers including IHES, MSRI, Perimeter Institute, and Newton Institute.

Publication and Distribution

Volumes appear quarterly with bilingual publications and translations coordinated with academic publishers and library services such as Springer Science+Business Media, Elsevier, Zentralblatt MATH, MathSciNet, and repositories used by institutions like Russian Academy of Sciences libraries, Library of Congress, British Library, and university consortia at University of Cambridge Library. The journal is indexed in bibliographic resources maintained by SCImago, Web of Science, and citation services used by scholars at Princeton University, University of Bonn, ETH Zurich, University of Tokyo, and Seoul National University. Distribution historically relied on postal exchange with societies like the London Mathematical Society and the American Mathematical Society; contemporary dissemination includes digital access through institutional subscriptions held by Harvard Library, National Research University Higher School of Economics, and research networks involving European Research Council grant recipients.

Notable Articles and Contributions

The journal has published influential articles on topics later central to prizes and major theorems associated with names such as Andrey Kolmogorov, Israel Gelfand, Sergei Novikov, Mikhail Gromov, Grigori Perelman, Victor Kac, Yakov Sinai, Ludwig Faddeev, Kirillov-related representation theory, and work connected to conjectures addressed by Fields Medal laureates and Abel Prize recipients. Seminal papers include contributions advancing spectral theory relevant to John von Neumann-style operator analysis, research paralleling developments at Courant Institute, and results intersecting with studies from Euler Prize-related investigations and monographs associated with Springer and Cambridge University Press. The proceedings have also recorded developments in integrable systems linked to researchers from Leningrad School, algebraic topology progress contemporaneous with the Princeton topology group, and geometric analysis with ties to Simons Foundation-supported projects.

Editorial Board and Editorial Process

The editorial board traditionally comprises senior researchers affiliated with Steklov Institute, Moscow State University, Saint Petersburg State University, Leningrad Branch of Steklov Institute, and international members from Institut des Hautes Études Scientifiques, Max Planck Institutes, ETH Zurich, University of Paris, and University of Göttingen. Peer review follows standards observed by editorial committees at Annals of Mathematics, Inventiones Mathematicae, Acta Mathematica, and Journal of the American Mathematical Society: initial submission screening, referee reports from experts associated with institutions like CNRS, University of California, Berkeley, and IHES, and revision cycles overseen by editors with research profiles comparable to Andrey Kolmogorov-era leaders and modern equivalents from Institute for Advanced Study and Scuola Normale Superiore.

Impact and Reception

Proceedings is widely cited in literature produced at Steklov Institute and referenced by researchers at Princeton University, Harvard University, University of Cambridge, Moscow State University, and international centers including Max Planck Society and CNRS. Its impact is reflected in citation networks tracked by MathSciNet, Zentralblatt MATH, Web of Science, and analyses used by funding bodies such as the European Research Council and Russian Science Foundation. Reception among mathematicians aligns it with historic journals like Izvestiya, Matematicheskii Sbornik, Uspekhi Matematicheskikh Nauk, and international outlets such as Communications in Mathematical Physics and Duke Mathematical Journal, with ongoing recognition in conferences organized by International Congress of Mathematicians and specialized symposia at Steklov Institute and partner institutions.

Category:Mathematics journals