Vladimir Popov (mathematician)

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Vladimir Leonidovich Popov
Born (1946-09-03) 3 September 1946 (age 77)
Moscow
NationalityRussian
Academic career
FieldMathematics
Information at IDEAS / RePEc

Vladimir Leonidovich Popov (Russian: Влади́мир Леони́дович Попо́в; born 3 September 1946) is a Russian mathematician working in the invariant theory and the theory of transformation groups.[1]

Education and career[edit]

In 1969 he graduated from the Faculty of Mechanics and Mathematics of Moscow State University. In 1972 he received his Candidate of Sciences degree (PhD) with thesis Стабильность действия алгебраических групп и арифметика квазиоднородных многообразий (Stability of the action of algebraic groups and the arithmetic of quasi-homogeneous varieties). In 1984 he received his Russian Doctor of Sciences degree (habilitation) with thesis Группы, образующие, сизигии и орбиты в теории инвариантов (Groups, generators, syzygies and orbits in the theory of invariants).[2][3]

He is a member of the Steklov Institute of Mathematics and a professor of the National Research University – Higher School of Economics.[1] In 1986, he was an invited speaker at the International Congress of Mathematicians (Berkeley, USA),[4] and in 2008–2010 he was a core member of the panel for Section 2, "Algebra" of the Program Committee for the 2010 International Congress of Mathematicians (Hyderabad, India).[5]

In 1987 he published a proof of a conjecture of Claudio Procesi and Hanspeter Kraft.[6] In 2006, with Nicole Lemire and Zinovy Reichstein, Popov published a solution to a problem posed by Domingo Luna in 1973.[7]

Awards[edit]

In 2012, he was elected a member of the inaugural class of Fellows of the American Mathematical Society[8] which recognizes mathematicians who have made significant contributions to the field.

In 2016, he was elected a corresponding member of the Russian Academy of Sciences.

Books[edit]

  • Popov, Vladimir L. (1982). Discrete complex reflection groups. Utrecht: Communications of the Mathematical Institute Rijksuniversiteit Utrecht, Vol. 15.
  • Popov, Vladimir L. (1992). Groups, generators, syzygies, and orbits in invariant theory. Providence RI: Translations of Mathematical Monographs, Vol. 100, Providence RI: Amer. Math. Soc. ISBN 0-8218-4557-8.[9]
  • Popov, V. L.; Vinberg, E. B. (1994). "Invariant Theory". Algebraic Geometry IV. Encyclopaedia of Mathematical Sciences. Vol. 55. Berlin; Heidelberg: Springer. pp. 123–278. doi:10.1007/978-3-662-03073-8_2. ISBN 978-3-642-08119-4.
  • Popov, Vladimir L. (2004). Algebraic transformation groups and algebraic varieties: proceedings of the conference Interesting algebraic varieties arising in algebraic transformation group theory held at the Erwin Schrödinger Institute, Vienna, October 22-26, 2001. Berlin New York: Springer. ISBN 9783540208389.

References[edit]

  1. ^ a b "Попов Владимир Леонидович". math-net.ru.
  2. ^ Vladimir Popov at the Mathematics Genealogy Project
  3. ^ "Vladimir Popov". HSE University.
  4. ^ Popov, V. L. "Modern developments in invariant theory" (PDF). In: Proc. Intern. Congr. Math. Berkeley, California. 1986. Vol. 1. pp. 394–406.
  5. ^ "Popov Vladimir Leonidovich". All-Russian Mathematical Portal. Retrieved 28 August 2016.
  6. ^ Popov, V L (1987). "Contraction of the actions of reductive algebraic groups". Mathematics of the USSR-Sbornik. 58 (2): 311–335. doi:10.1070/SM1987v058n02ABEH003106. ISSN 0025-5734.
  7. ^ Lemire, Nicole; Popov, Vladimir L.; Reichstein, Zinovy (2006). "Cayley groups". Journal of the American Mathematical Society. 19 (4): 921–967. doi:10.1090/S0894-0347-06-00522-4. S2CID 9987646.
  8. ^ List of Fellows of the American Mathematical Society, retrieved 16 November 2013.
  9. ^ Schwarz, Gerald W. (1993). "Book Review: Groups, generators, syzygies, and orbits in invariant theory". Bulletin of the American Mathematical Society. 29 (2): 299–305. doi:10.1090/S0273-0979-1993-00433-6.

External links[edit]

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