Sergei Novikov (mathematician)

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In this name that follows Eastern Slavic naming customs, the patronymic is Petrovich and the family name is Novikov.
Sergei Novikov
Сергей Новиков
University of Maryland
Doctoral advisorMikhail Postnikov
Doctoral studentsVictor Buchstaber
Boris Dubrovin
Sabir Gusein-Zade
Gennadi Kasparov [de]
Alexandr Mishchenko
Iskander Taimanov
Anton Zorich
Fedor Bogomolov

Sergei Petrovich Novikov (also Serguei) (

soliton theory. In 1970, he won the Fields Medal
.

Early life

Novikov was born on 20 March 1938 in Gorky, Soviet Union (now Nizhny Novgorod, Russia).[1]

He grew up in a family of talented mathematicians. His father was Pyotr Sergeyevich Novikov, who gave a negative solution to the word problem for groups. His mother, Lyudmila Vsevolodovna Keldysh, and maternal uncle, Mstislav Vsevolodovich Keldysh, were also important mathematicians.[1]

In 1955 Novikov entered

PhD) at Moscow State University. In 1965 he defended a dissertation for the Doctor of Science in Physics and Mathematics degree there. In 1966 he became a Corresponding member of the Academy of Sciences of the Soviet Union
.

Research in topology

Novikov's early work was in

Adams–Novikov spectral sequence is now a basic tool in stable homotopy theory.[2][3]

Novikov also carried out important research in

isospectral flows, with connections to the theory of theta functions. Novikov's conjecture about the Riemann–Schottky problem (characterizing principally polarized abelian varieties that are the Jacobian of some algebraic curve) stated, essentially, that this was the case if and only if the corresponding theta function provided a solution to the Kadomtsev–Petviashvili equation of soliton theory. This was proved by Takahiro Shiota (1986),[4] following earlier work by Enrico Arbarello and Corrado de Concini (1984),[5] and by Motohico Mulase (1984).[6]

Later career

Since 1971 Novikov has worked at the Landau Institute for Theoretical Physics of the USSR Academy of Sciences. In 1981 he was elected a Full Member of the USSR Academy of Sciences (Russian Academy of Sciences since 1991). In 1982 Novikov was also appointed the Head of the Chair in Higher Geometry and Topology at the Moscow State University.

In 1984 he was elected as a member of Serbian Academy of Sciences and Arts.

As of 2004, Novikov is the Head of the Department of geometry and topology at the Steklov Mathematical Institute. He is also a Distinguished University Professor for the Institute for Physical Science and Technology, which is part of the University of Maryland College of Computer, Mathematical, and Natural Sciences at University of Maryland, College Park[7] and is a Principal Researcher of the Landau Institute for Theoretical Physics in Moscow.

In 2005 Novikov was awarded the Wolf Prize for his contributions to algebraic topology, differential topology and to mathematical physics.[8] He is one of just eleven mathematicians who received both the Fields Medal and the Wolf Prize. In 2020 he received the Lomonosov Gold Medal of the Russian Academy of Sciences.[9]

Writings

  • Novikov, S. P.;
    ISBN 978-90-481-4080-0
    .
  • Novikov, S. P.; Manakov, S. V.; Pitaevskii, L. P.;
    OCLC 10071941
    .
  • with Dubrovin and Fomenko: Modern geometry- methods and applications, Vol.1-3, Springer, Graduate Texts in Mathematics (originally 1984, 1988, 1990, V.1 The geometry of surfaces and transformation groups, V.2 The geometry and topology of manifolds, V.3 Introduction to homology theory)
  • Topics in Topology and mathematical physics, AMS (American Mathematical Society) 1995
  • Integrable systems - selected papers, Cambridge University Press 1981 (London Math. Society Lecture notes)
  • Novikov, S. P.; Taimanov, I. A. (2007). Topological Library: Part 1: Cobordisms and Their Applications. Series on Knots and Everything. Vol. 39. Translated by Manturov, V. O.
    ISBN 978-981-270-559-4
    .
  • with V. I. Arnold as editor and co-author: Dynamical systems, 1994, Encyclopedia of mathematical sciences, Springer
  • Topology I: general survey, V. 12 of Topology Series of Encyclopedia of mathematical sciences, Springer 1996; 2013 edition
  • Solitons and geometry, Cambridge 1994
  • as editor, with Buchstaber: Solitons, geometry and topology: on the crossroads, AMS, 1997
  • with Dubrovin and Krichever: Topological and Algebraic Geometry Methods in contemporary mathematical physics V.2, Cambridge
  • My generation in mathematics, Russian Mathematical Surveys V.49, 1994, p. 1
    doi:10.1070/RM1994v049n06ABEH002446

See also

References

  1. ^ a b O'Connor, John J.; Robertson, Edmund F., "Sergei Petrovich Novikov", MacTutor History of Mathematics Archive, University of St Andrews
  2. JSTOR 1970821
    .
  3. ISBN 9780521426084
    .
  4. S2CID 120739493
    .
  5. JSTOR 2007073
    .
  6. MR 0755232
    .
  7. ^ "Faculty/Staff Directory Search". University of Maryland. Retrieved 22 April 2016.
  8. ^ The Wolf Foundation – "Sergei P. Novikov Winner of Wolf Prize in Mathematics - 2005"
  9. ^ Lomonosov Gold Medal 2020

External links

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