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Sergei Vasilyevich Kerov
Sergei Vasilyevich Kerov (Russian: Сергей Васильевич Керов; born 21 June 1946 in Leningrad died 30 July 2000) was a Russian mathematician and university professor. His research included operator algebra, operator algebras, combinatorics, probability theory, probability and representation theory. Life Kerov was born in 1946 in Leningrad (now St. Petersburg). His father Vasily Kerov was a teacher for analytical chemistry at a university in Leningrad and his mother Marianna Nikolayeva was an expert in plant physiology, seed physiology. Kerov studied at the Saint Petersburg State University. He obtained a PhD in 1975 under the supervision of Anatoly Vershik. He was then a professor at various universities in St. Petersburg, including the Herzen State Pedagogical University, Herzen Pedagogical University and the University of Saint Petersburg. From 1993 he did research at the Steklov Institute of Mathematics in St. Petersburg. In 1994 he received a Doctor of Sci ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Herzen State Pedagogical University
Herzen University, or formally the Russian State Pedagogical University in the name of A. I. Herzen () is a university in Saint Petersburg, Russia. It was formerly known as the Leningrad State Pedagogical Institute. It is one of the largest universities in Russia, operating 20 faculties and more than 100 departments. Embroidered in its structure are the Institute of Pre-University Courses, the Institute of Continuous Professional Development, and the Pedagogical Research Center. The university is named after the Russian writer and philosopher Alexander Herzen. History The university dates its creation to , when Emperor Paul I of Russia gave an independent status to the , or foundling house, established by Ivan Betskoy and put it under the patronage of Empress Maria Feodorovna. The Imperial Foundling House eventually developed into the modern Pedagogical University. Betskoy's humanistic ideas furnished the basic principles of the foundling house. The Imperial Foundling Hou ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Russian Mathematicians
This list of Russian mathematicians includes the famous mathematicians from the Russian Empire, the Soviet Union and the Russian Federation. Alphabetical list __NOTOC__ A *Georgy Adelson-Velsky, inventor of AVL tree algorithm, developer of Kaissa, the first world computer chess champion *Sergei Adian, known for his work in group theory, especially on the Burnside problem *Aleksandr Danilovich Aleksandrov, Aleksandr Aleksandrov, developer of CAT(k) space and Alexandrov's uniqueness theorem in geometry *Pavel Alexandrov, author of the Alexandroff compactification and the Alexandrov topology *Dmitri Anosov, developed Anosov diffeomorphism *Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser theorem in dynamical systems, solved Hilbert's 13th problem, raised the ADE classification and Arnold's rouble problems B *Alexander Beilinson, influential mathematician in representation theory, algebraic geometry and mathematical physics *Sergey Bernstein, developed the Bernstein p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Saint Petersburg Mathematical Society
The Saint Petersburg Mathematical Society () is a mathematical society run by Saint Petersburg mathematicians. Historical notes The St. Petersburg Mathematical Society was founded in 1890 and was the third founded mathematical society in Russia after those of Moscow (1867) and Khar'kov (1879)... Its founder and first president was Vasily Imshenetskii, who also had founded earlier the Khar'kov Mathematical Society. The Society was dissolved and subsequently revived twice, each time changing its name, sometime in between 1905 and 1917, the society ceased to function and by 1917 it had completely dissolved, perhaps due to the social agitations that destroyed many existing Russian scientific institutions. It was re-established by the initiative of Alexander Vasilyev in 1921 as the Petrograd Physical and Mathematical Society (subsequently called the Leningrad Physical and Mathematical Society). In 1930, the self-dissolution of the society was due to political reasons. Before the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe became the first president while Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance over concerns about competing with the '' American Journal of Mathematics''. The result was the ''Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influentia ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Symmetric Group
In abstract algebra, the symmetric group defined over any set is the group whose elements are all the bijections from the set to itself, and whose group operation is the composition of functions. In particular, the finite symmetric group \mathrm_n defined over a finite set of n symbols consists of the permutations that can be performed on the n symbols. Since there are n! (n factorial) such permutation operations, the order (number of elements) of the symmetric group \mathrm_n is n!. Although symmetric groups can be defined on infinite sets, this article focuses on the finite symmetric groups: their applications, their elements, their conjugacy classes, a finite presentation, their subgroups, their automorphism groups, and their representation theory. For the remainder of this article, "symmetric group" will mean a symmetric group on a finite set. The symmetric group is important to diverse areas of mathematics such as Galois theory, invariant theory, the re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plancherel Measure
In mathematics, Plancherel measure is a measure defined on the set of irreducible unitary representations of a locally compact group G, that describes how the regular representation breaks up into irreducible unitary representations. In some cases the term Plancherel measure is applied specifically in the context of the group G being the finite symmetric group S_n – see below. It is named after the Swiss mathematician Michel Plancherel for his work in representation theory. Definition for finite groups Let G be a finite group, we denote the set of its irreducible representations by G^\wedge. The corresponding Plancherel measure over the set G^\wedge is defined by :\mu(\pi) = \frac, where \pi\in G^\wedge, and \mathrm\pi denotes the dimension of the irreducible representation \pi. Definition on the symmetric group An important special case is the case of the finite symmetric group S_n, where n is a positive integer. For this group, the set S_n^\wedge of irreducible represen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brain Tumor
A brain tumor (sometimes referred to as brain cancer) occurs when a group of cells within the Human brain, brain turn cancerous and grow out of control, creating a mass. There are two main types of tumors: malignant (cancerous) tumors and benign tumor, benign (non-cancerous) tumors. These can be further classified as primary tumors, which start within the brain, and metastasis, secondary tumors, which most commonly have spread from tumors located outside the brain, known as brain metastasis tumors. All types of brain tumors may produce symptoms that vary depending on the size of the tumor and the part of the brain that is involved. Where symptoms exist, they may include headaches, seizures, problems with visual perception, vision, vomiting and cognition, mental changes. Other symptoms may include difficulty walking, speaking, with sensations, or unconsciousness. The cause of most brain tumors is unknown, though up to 4% of brain cancers may be caused by CT scan radiation. Uncommo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doctor Of Sciences
A Doctor of Sciences, abbreviated д-р наук or д. н.; ; ; ; is a higher doctoral degree in the Russian Empire, Soviet Union and many Commonwealth of Independent States countries. One of the prerequisites of receiving a Doctor of Sciences degree is having a PhD-equivalent Candidate of Sciences degree beforehand. In addition, the Doctor of Sciences conferral also requires applicants to demonstrate significant and outstanding contributions to their research field. This degree is generally regarded as an honor and recognition for lifetime academic achievements rather than an ordinary academic degree by courses and theses. History The "Doctor of Sciences" degree was introduced in the Russian Empire in 1819 and abolished in 1917. Later it was revived in the USSR on January 13, 1934, by a decision of the Council of People's Commissars of the USSR. By the same decision, a lower degree, " Candidate of Sciences" (''kandidat nauk''), roughly the Russian equivalent to the research ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Steklov Institute Of Mathematics
Steklov Institute of Mathematics or Steklov Mathematical Institute () is a premier research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences. The institute is named after Vladimir Andreevich Steklov, who in 1919 founded the Institute of Physics and Mathematics in Saint Petersburg, Leningrad. In 1934, this institute was split into separate parts for physics and mathematics, and the mathematical part became the Steklov Institute. At the same time, it was moved to Moscow. The first director of the Steklov Institute was Ivan Matveyevich Vinogradov. From 19611964, the institute's director was the notable mathematician Sergei Chernikov. The old building of the Institute in Leningrad became its Department in Leningrad. Today, that department has become a separate institute, called the ''St. Petersburg Department of Steklov Mathematical Institute of the Russian Academy of Sciences'' or PDMI RAS, located in Saint Petersburg, Russia. The n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anatoly Vershik
Anatoly Moiseevich Vershik (; 28 December 1933 – 14 February 2024) was a Soviet and Russian mathematician. He is most famous for his joint work with Sergei V. Kerov on representations of infinite symmetric groups and applications to the longest increasing subsequences. Biography Vershik studied at Leningrad State University (later renamed to Saint Petersburg State University), receiving his doctoral degree in 1974; his advisor was Vladimir Rokhlin. Vershik worked at the St. Petersburg Department of Steklov Institute of Mathematics and at Saint Petersburg State University. In 1998–2008, he was the president of the St. Petersburg Mathematical Society. In 2012, Vershik became a fellow of the American Mathematical Society. In 2015, he was elected a member of Academia Europaea. His doctoral students include Alexander Barvinok, Dmitri Burago, Anna Erschler, Sergey Fomin, Vadim Kaimanovich, Sergei Kerov, Alexander N. Livshits, Andrei Lodkin, Nikolai Mnev, and Natal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
