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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 Natalia T ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vladimir Rokhlin (Soviet Mathematician)
Vladimir Abramovich Rokhlin (Russian: Влади́мир Абра́мович Ро́хлин) (23 August 1919 – 3 December 1984) was a Soviet mathematician, who made numerous contributions in algebraic topology, geometry, measure theory, probability theory, ergodic theory and entropy theory. Life Vladimir Abramovich Rokhlin was born in Baku, Azerbaijan, to a wealthy Jewish family. His mother, Henrietta Emmanuilovna Levenson, had studied medicine in France (she died in Baku in 1923, believed to have been killed during civil unrest provoked by an epidemic). His maternal grandmother, Clara Levenson, had been one of the first female doctors in Russia. His maternal grandfather Emmanuil Levenson was a wealthy businessman (he was also the illegitimate father of Korney Chukovsky, who was thus Henrietta's half-brother). Vladimir Rokhlin's father Abram Veniaminovich Rokhlin was a well-known social democrat (he was imprisoned during Stalin's Great Purge, and executed in 1941). Vla ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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] |
Representation Theory
Representation theory is a branch of mathematics that studies abstract algebra, abstract algebraic structures by ''representing'' their element (set theory), elements as linear transformations of vector spaces, and studies Module (mathematics), modules over these abstract algebraic structures. In essence, a representation makes an abstract algebraic object more concrete by describing its elements by matrix (mathematics), matrices and their algebraic operations (for example, matrix addition, matrix multiplication). The algebraic objects amenable to such a description include group (mathematics), groups, associative algebras and Lie algebras. The most prominent of these (and historically the first) is the group representation, representation theory of groups, in which elements of a group are represented by invertible matrices such that the group operation is matrix multiplication. Representation theory is a useful method because it reduces problems in abstract algebra to problems ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Longest Increasing Subsequence
In computer science, the longest increasing subsequence problem aims to find a subsequence of a given sequence in which the subsequence's elements are sorted in an ascending order and in which the subsequence is as long as possible. This subsequence is not necessarily contiguous or unique. The longest increasing subsequences are studied in the context of various disciplines related to mathematics, including algorithmics, random matrix theory, representation theory, and physics. The longest increasing subsequence problem is solvable in time O(n \log n), where n denotes the length of the input sequence. Example In the first 16 terms of the binary Van der Corput sequence :0, 8, 4, 12, 2, 10, 6, 14, 1, 9, 5, 13, 3, 11, 7, 15 one of the longest increasing subsequences is :0, 2, 6, 9, 11, 15. This subsequence has length six; the input sequence has no seven-member increasing subsequences. The longest increasing subsequence in this example is not the only solution: for instance, :0, 4, 6, 9 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sergey Fomin
Sergey Vladimirovich Fomin (Сергей Владимирович Фомин) (born 16 February 1958 in Saint Petersburg, Russia) is a Russian American mathematician who has made important contributions in combinatorics and its relations with algebra, geometry, and representation theory. Together with Andrei Zelevinsky, he introduced cluster algebras. Biography Fomin received his M.Sc. in 1979 and his Ph.D. in 1982 from St. Petersburg State University under the direction of Anatoly Vershik and Leonid Osipov. Previous to his appointment at the University of Michigan, he held positions at the Massachusetts Institute of Technology from 1992 to 2000, at the St. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences, and at the Saint Petersburg Electrotechnical University. Sergey Fomin studied at the 45th Physics-Mathematics School and later taught mathematics there. Research Fomin's contributions include * Discovery (with A. Zelevinsky) of c ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bratteli–Vershik Diagram
In mathematics, a Bratteli–Veršik diagram is an ordered, essentially simple Bratteli diagram (''V'', ''E'') with a homeomorphism on the set of all infinite paths called the Veršhik transformation. It is named after Ola Bratteli and Anatoly Vershik. Definition Let ''X'' = be the set of all paths in the essentially simple Bratteli diagram (''V'', ''E''). Let ''E''min be the set of all minimal edges in ''E'', similarly let ''E''max be the set of all maximal edges. Let ''y'' be the unique infinite path in ''E''max. (Diagrams which possess a unique infinite path are called "essentially simple".) The Veršhik transformation is a homeomorphism φ : ''X'' → ''X'' defined such that φ(''x'') is the unique minimal path if ''x'' = ''y''. Otherwise ''x'' = (''e''1, ''e''2,...) , ''e''''i'' ∈ ''E''''i'' where at least one ''e''''i'' ∉ ''E''max. Let ''k'' be the smallest such integer. Then φ(' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Alexander Barvinok
Alexander I. Barvinok (born March 27, 1963) is a Russian American mathematician and a professor of mathematics at the University of Michigan. Barvinok received his Ph.D. from St. Petersburg State University in 1988 under the supervision of Anatoly Moiseevich Vershik. In 1999, Barvinok received the Presidential Early Career Award for Scientists and Engineers, Presidential Early Career Award for Scientists and Engineers (PECASE) from President Bill Clinton. Barvinok gave an invited talk at the 2006 International Congress of Mathematicians in Madrid. In 2012, Barvinok became a Fellow of the American Mathematical Society. In 2023, Barvinok left the American Mathematical Society by refusing to renew his membership in protest of its non-opposition to "Diversity, Equity, and Inclusion, DEI statements" and "compelled language", referencing his experiences in the Soviet Union. References Living people Fellows of the American Mathematical Society 20th-century American mathema ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anna Erschler
Anna Gennadievna Erschler, née Dyubina, (Анна Геннадьевна Эршлер; born 14 February 1977), is a Russian mathematician working in France. She specializes in geometric group theory and probability theory, in particular, random walks on groups.Homepage, ENS, with CV (with links to online publications) Education and career Beginning in 1994, Erschler studied mathematics at , receiving her in 1999 and then studying in the academic year 1999–2000 at |
Vladimir Arnold
Vladimir Igorevich Arnold (or Arnol'd; , ; 12 June 1937 – 3 June 2010) was a Soviet and Russian mathematician. He is best known for the Kolmogorov–Arnold–Moser theorem regarding the stability of integrable systems, and contributed to several areas, including geometrical theory of dynamical systems, algebra, catastrophe theory, topology, real algebraic geometry, symplectic geometry, differential equations, classical mechanics, differential-geometric approach to hydrodynamics, geometric analysis and singularity theory, including posing the ADE classification problem. His first main result was the solution of Hilbert's thirteenth problem in 1957 when he was 19. He co-founded three new branches of mathematics: topological Galois theory (with his student Askold Khovanskii), symplectic topology and KAM theory. Arnold was also a populariser of mathematics. Through his lectures, seminars, and as the author of several textbooks (such as '' Mathematical Methods of Clas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dmitri Burago
Dmitri Yurievich Burago (Дмитрий Юрьевич Бураго, born 1964) is a leading Russian - American mathematician, specializing in differential, Riemannian, Finsler geometry, geometric analysis, dynamical systems and applications to mathematical physics. He is the son of the celebrated Geometer and Russian mathematician Yuri Dmitrievich Burago, with whom he also published well known book on metric geometry. Burago studied at 45th Physics-Mathematics School. Burago received his doctorate in 1994 at Saint Petersburg State University under the supervision of Anatoly Vershik. He was at the Steklov Institute in Saint Petersburg and is now a professor at Pennsylvania State University's Center for Dynamical Systems and Geometry. In 1992, he was awarded the prize of the Saint Petersburg Mathematical Society. In 1998, he was an Invited Speaker at the International Congress of Mathematicians in Berlin. In 2014, he was awarded the Leroy P. Steele Prize with Yuri Burago and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Soviet 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] |
21st-century Russian Mathematicians
File:1st century collage.png, From top left, clockwise: Jesus is crucified by Roman authorities in Judaea (17th century painting). Four different men (Galba, Otho, Vitellius, and Vespasian) claim the title of Emperor within the span of a year; The Great Fire of Rome (18th-century painting) sees the destruction of two-thirds of the city, precipitating the empire's first persecution against Christians, who are blamed for the disaster; The Roman Colosseum is built and holds its inaugural games; Roman forces besiege Jerusalem during the First Jewish–Roman War (19th-century painting); The Trưng sisters lead a rebellion against the Chinese Han dynasty (anachronistic depiction); Boudica, queen of the British Iceni leads a rebellion against Rome (19th-century statue); Knife-shaped coin of the Xin dynasty., 335px rect 30 30 737 1077 Crucifixion of Jesus rect 767 30 1815 1077 Year of the Four Emperors rect 1846 30 3223 1077 Great Fire of Rome rect 30 1108 1106 2155 Boudican revolt ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
