Which of the following is known for his work on the decidability of algebraic groups: Anatoly Maltsev or Vladimir Levenshtein?
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Anatoly Maltsev Anatoly Ivanovich Maltsev (also: Malcev, Mal'cev; Russian: Анато́лий Ива́нович Ма́льцев; 27 November N.S./14 November O.S. 1909, Moscow Governorate – 7 June 1967, Novosibirsk) was born in Misheronsky, near Moscow, and died in Novosibirsk, USSR. He was a mathematician noted for his work on the decidability of various algebraic groups. Malcev algebras (generalisations of Lie algebras) are named after him.
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Vladimir Levenshtein Vladimir Iosifovich Levenshtein (Russian: Влади́мир Ио́сифович Левенште́йн ; ] ; born 1935) is a Russian scientist who has done research in information theory, error-correcting codes, and combinatorial design. Among other contributions, he is known for the Levenshtein distance and a Levenshtein algorithm, which he developed in 1965.
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Albert Shiryaev Albert Nikolayevich Shiryaev (Russian: Альбе́рт Никола́евич Ширя́ев ; born October 12, 1934) is a Soviet and Russian mathematician. He is known for his work in probability theory, statistics and financial mathematics.
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P-adic quantum mechanics "p"-adic quantum mechanics is a relatively recent approach to understanding the nature of fundamental physics. It is the application of p-adic analysis to quantum mechanics. The p-adic numbers are a counterintuitive arithmetic system that was discovered by the German mathematician Kurt Hensel in about 1899. The closely related adeles and ideles were introduced in the 1930s by Claude Chevalley and André Weil. Their study has now transformed into a major branch of mathematics. They were occasionally applied to the physical sciences, but it wasn't until a publication by the Russian mathematician Igor Volovich in 1987 that the subject was taken seriously. There are now hundreds of research articles on the subject, along with international journals as well.
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Ladislav Skula Ladislav "Ladja" Skula (born June 30, 1937) is a Czech mathematician. His work spans across topology, algebraic number theory, and the theory of ordered sets. He has published over 80 papers and notable results on the Fermat quotient.
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Sergey Yablonsky Sergey Vsevolodovich Yablonsky (Russian: Серге́й Все́володович Ябло́нский, 6 December 1924 – 26 May 1998) was a Soviet and Russian mathematician, one of the founders of the Soviet school of mathematical cybernetics and discrete mathematics. He is the author of a number of classic results on synthesis, reliability, and classification of control systems (Russian: Управляющие системы ), the term used in the USSR and Russia for a generalization of finite state automata, Boolean circuits and multi-valued logic circuits. (The term is ambiguous, since conventionally in the West control systems is understood as an engineering discipline. The ambiguity stems from the fact that the names of the two disciplines that differ in Russian, namely "Системы управления" and "Управляющие системы", are both translated into English as "control systems".)
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Pierre Samuel Pierre Samuel (12 September 1921 – 23 August 2009) was a French mathematician, known for his work in commutative algebra and its applications to algebraic geometry. The two-volume work "Commutative Algebra" that he wrote with Oscar Zariski is a classic. Other books of his covered projective geometry and algebraic number theory.
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G. V. Belyi Gennadii Vladimirovich Belyi (1951–2001, Ukrainian: Генадій Володимирович Білий , Russian: Геннадий Владимирович Белый ) was a Soviet, Ukrainian, and Russian mathematician, known for Belyi's theorem on the representation of algebraic curves as Riemann surfaces and for the Belyi functions arising in that theorem.
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Nikolay Nekhoroshev Nikolai Nikolaevich Nekhoroshev (Russian: Николай Николаевич Нехорошев ; 2 October 1946 – 18 October 2008) was a prominent Soviet Russian mathematician, specializing in classical mechanics and dynamical systems. His research concerned Hamiltonian mechanics, perturbation theory, celestial mechanics, integrable systems, dynamical systems, the quasiclassical approximation, and singularity theory. He proved, in particular, a stability result in KAM-theory stating that, under certain conditions, solutions of nearly integrable systems stay close to invariant tori for exponentially long times .
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Group (mathematics) In mathematics, a group is an algebraic structure consisting of a set of elements equipped with an operation that combines any two elements to form a third element and that satisfies four conditions called the group axioms, namely closure, associativity, identity and invertibility. One of the most familiar examples of a group is the set of integers together with the addition operation, but the abstract formalization of the group axioms, detached as it is from the concrete nature of any particular group and its operation, applies much more widely. It allows entities with highly diverse mathematical origins in abstract algebra and beyond to be handled in a flexible way while retaining their essential structural aspects. The ubiquity of groups in numerous areas within and outside mathematics makes them a central organizing principle of contemporary mathematics.
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Ax–Grothendieck theorem In mathematics, the Ax–Grothendieck theorem is a result about injectivity and surjectivity of polynomials that was proved independently by James Ax and Alexander Grothendieck.
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Vasily Vladimirov Vasilii Sergeevich Vladimirov (Russian: Васи́лий Серге́евич Влади́миров ) (9 January 1923 – 3 November 2012) was a Soviet mathematician and mathematical physicist working in the fields of number theory, mathematical physics, quantum field theory, numerical analysis, generalized functions, several complex variables, p-adic analysis, multidimensional tauberian theorems.
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Lev Gutenmaher Lev Israilevich Gutenmaher (Russian: Лев Изра́илевич Гутенма́хер ) was a Soviet mathematician who conducted pioneering research in the area of computing technologies and made significant contributions to the early development of computer science. He was a recipient of the Stalin and National awards for his work.
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Chebyshev's theorem Chebyshev's theorem is a name given to several theorems proven by Russian mathematician Pafnuty Chebyshev
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Mnev's universality theorem In algebraic geometry, Mnev's universality theorem is a result which can be used to represent algebraic (or semi algebraic) varieties as realizations of oriented matroids, a notion of combinatorics.
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Lev Fink Lev Fink (Russian: Лев Матве́eвич Финк, 1910–1988) was a Soviet physicist. He was a Doktor nauk in Telecommunication.
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Vera Faddeeva Vera Faddeeva (Russian: Вера Николаевна Фаддеева ; Vera Nikolaevna Faddeeva; 1906–1983) was a Soviet mathematician from a family of mathematicians. Faddeeva published some of the first work in the field of linear algebra. Her 1950 work, "Computational methods of linear algebra" was widely acclaimed and she won a USSR State Prize for it. Between 1962 and 1975, she prepared many research papers with her husband, Dmitry Konstantinovich Faddeev.
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Isaak Moiseevich Milin Isaak Moiseevich Milin, (Исаак Моисеевич Милин); * February 16, 1919, Oster, Ukrainian Soviet Socialist Republic – † November 17, 1992 Saint-Petersburg (former Leningrad), Russian Federation) was a prominent Soviet/Russian mathematician, doctor of science in physics and mathematics, senior researcher, specialist in Geometric Theory of Functions of a Complex Variable and Applied Mathematics, engineer-lieutenant-colonel at the Soviet Air Force.
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Lev Vaidman Lev Vaidman (born 4 September 1955) is a Russian-Israeli physicist and Professor at Tel Aviv University, Israel. He is noted for his theoretical work in the area of quantum teleportation and the Elitzur–Vaidman bomb-testing problem in quantum mechanics. He was a member of the Editorial Advisory Board of "The American Journal of Physics" from 2007 to 2009. His work and the experiments which they have inspired have lent support to the many-worlds interpretation of quantum physics. In 2010, their experiment was chosen as one of the "Seven Wonders of the Quantum World" by New Scientist Magazine.
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Alexey Parshin Aleksei (or Alexei) Nikolaevich Parshin (Russian: Алексей Николаевич Паршин ; born 7 November 1942 in Sverdlovsk) is a Russian mathematician, specializing in number theory and algebraic geometry.
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Ivan Ivanovich Zhegalkin Ivan Ivanovich Zhegalkin (Russian Ива́н Ива́нович Жега́лкин; alternative romanizations: Žegalkin, Gégalkine) (August 3, 1869, Mtsensk – March 28, 1947, Moscow) was a Russian mathematician. He is best known for his formulation of Boolean algebra as the theory of the ring of integers mod 2, via what are now called Zhegalkin polynomials.
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Algebraic Geometry (book) Algebraic Geometry is an influential algebraic geometry textbook written by Robin Hartshorne and published by Springer-Verlag in 1977.