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| MATHEMATICAL INSTITUTE OF STEKLOV | |
|---|---|
| Name | Mathematical Institute of Steklov |
| Native name | Институт математики имени В. А. Стеклова |
| Established | 1919 |
| Founder | Vladimir Steklov |
| Type | Research institute |
| Location | Saint Petersburg, Moscow |
MATHEMATICAL INSTITUTE OF STEKLOV is a premier research institute in Russia founded in 1919 by Vladimir Steklov, renowned for advances in analysis, algebra, topology, and mathematical physics. The institute has been associated with a lineage of scholars from the Russian Empire through the Soviet Union to the Russian Federation and maintains ties with international centers such as the University of Cambridge, Princeton University, Harvard University, and the Institut des Hautes Études Scientifiques. It functions within networks including the Russian Academy of Sciences, the European Mathematical Society, the International Mathematical Union, and collaborates with institutions like the Steklov Institute (Moscow).
The institute was established in 1919 during the aftermath of the Russian Revolution and the upheavals of the Russian Civil War, when Vladimir Steklov reorganized mathematical research in Petrograd, linking predecessors from the St. Petersburg Academy of Sciences and émigré communities associated with figures such as Andrey Kolmogorov, Dmitri Egorov, Sergius Golodets and contemporaries like Aleksandr Lyapunov. During the World War II era the institute experienced evacuations similar to those of the Moscow State University and the Kazan Federal University, and its staff contributed to wartime research paralleling projects at the Kurchatov Institute and the Lebedev Physical Institute. Postwar reorganization placed it under the auspices of the Academy of Sciences of the USSR, aligning its trajectory with centers like the Steklov Institute (Moscow) and attracting visitors from the Institute for Advanced Study, the Max Planck Society, and the French National Centre for Scientific Research. Political episodes involving figures such as Luzin affair influenced generations of researchers and shaped ties with schools led by Israel Gelfand, Nikolai Bogolyubov, and Lev Landau.
Research spans analysis, algebra, geometry, mathematical physics, probability, and computational mathematics, connecting threads from the work of Petr Novikov, Alexander A. Markov, Yakov Sinai, Israel Gelfand, and Lars Hörmander. Departments historically include complex analysis linked to Sofia Kovalevskaya, functional analysis related to Stefan Banach, partial differential equations following Sergius Lvovich Sobolev, topology reflecting contributions of Lev Pontryagin and Andrey Kolmogorov, and mathematical physics recalling collaborations with Richard Feynman and Paul Dirac. Applied branches interface with groups at the Moscow State Institute of Radio Engineering, the Lebedev Physical Institute, and the Russian Space Research Institute through projects reminiscent of work by Sergei Novikov, Grigori Perelman, and Mikhail Gromov.
The institute counts among its affiliates luminaries such as Andrey Kolmogorov, Ivan Petrovsky, Mikhail Lavrentyev, Oscar Zariski, Israel Gelfand, Nikolai Nekhoroshev, Yuri Manin, Ludwig Faddeev, Igor Shafarevich, Lev Landau, Yakov Sinai, Vladimir Arnold, Grigori Perelman, Sergei Novikov, and Mikhail Ostrogradsky. Alumni and visitors include Paul Erdős, Alexander Grothendieck, John von Neumann, E.T. Whittaker, Harald Bohr, Emmy Noether, Henri Cartan, Jean-Pierre Serre, Michael Atiyah, Alexander Dynkin, Oleg Y. Ilyashenko, and Victor Kac.
The institute publishes monographs and journals that have influenced outlets like Uspekhi Matematicheskikh Nauk, Mathematical Surveys and Monographs, Proceedings of the Steklov Institute of Mathematics (St. Petersburg), and exchanges with journals such as Inventiones Mathematicae, Acta Mathematica, Annals of Mathematics, Journal of the American Mathematical Society, and Communications in Mathematical Physics. Editorial collaborations have involved editors who worked with Springer Verlag, Elsevier, Cambridge University Press, Oxford University Press, and societies such as the American Mathematical Society and the London Mathematical Society.
Primary facilities are located in Saint Petersburg with satellite presence in Moscow and historical ties to campuses in Leningrad, Kazan, and temporary sites during wartime evacuation in Saratov and Novosibirsk. The institute's buildings house seminar rooms named after Vladimir Steklov, libraries with collections including works by Leonhard Euler, Carl Friedrich Gauss, Bernhard Riemann, and archives documenting correspondence with Émile Picard and Felix Klein. Computational facilities have partnered with supercomputing centers such as those at Moscow State University and the Keldysh Institute of Applied Mathematics.
Collaborations span international institutes and projects involving the Institute for Advanced Study, Centre National de la Recherche Scientifique, Max Planck Institute for Mathematics, Institut des Hautes Études Scientifiques, École Polytechnique, Johns Hopkins University, Massachusetts Institute of Technology, and organizations like the European Research Council and NATO Science for Peace. Its influence is evident in mathematical schools led by Andrey Kolmogorov, Israel Gelfand, Lev Pontryagin, Vladimir Arnold, and through student lineages reaching researchers at Princeton University, University of California, Berkeley, Stanford University, and University of Cambridge.
Members and affiliates have received numerous honors including the Fields Medal, Abel Prize, Wolf Prize, Shaw Prize, Lenin Prize, State Prize of the Russian Federation, Order of Lenin, Order of Honour (Russia), Darwin Medal, and membership in bodies such as the Royal Society, the National Academy of Sciences, the Academia Europaea, and repeated recognition by the International Mathematical Union and the European Mathematical Society.
Category:Mathematical research institutes Category:Research institutes in Russia