- Sergei Petrovich Novikov
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name = Sergei Petrovich Novikov

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caption = Sergei Petrovich Novikov

birth_name =20 March 1938

birth_date = Gorky

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education =Moscow State University

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occupation =mathematician

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parents =Pyotr Sergeyevich Novikov , Ludmila Vsevolodovna Keldysh

relatives = Mstislav Vsevolodovich Keldysh

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footnotes =**Sergei Petrovich Novikov**(also**Serguei**) (Russian: Сергей Петрович Новиков) (born20 March 1938 ) is aRussia nmathematician , noted for work in bothalgebraic topology andsoliton theory .**Early life**He was born in Gorky,

Russian SFSR (nowNizhny Novgorod ,Russia ).Novikov grew up in a family of talented mathematicians. His father was

Pyotr Sergeyevich Novikov , who gave the negative solution of theword problem for groups . His mother Ludmila and uncle Mstislav were also important mathematicians.In 1955 Novikov entered

Moscow State University (graduated from it in 1960). Four years later he received theMoscow Mathematical Society Award for young mathematicians. In the same year he defended a dissertation for the "Candidate of Science in Physics and Mathematics" degree at the Moscow State University (it is equivalent toPhD ). In 1965 he defended a dissertation for the "Doctor of Science in Physics and Mathematics" degree there. In 1966 he became the Corresponding member of theUSSR Academy of Sciences .**Research in topology**His early work was in

cobordism theory , in relative isolation. Among other advances he showed how theAdams spectral sequence , a powerful tool for proceeding fromhomology theory to the calculation ofhomotopy group s, could be adapted to the new (at that time)cohomology theory typified by cobordism andK-theory . This required the development of the idea ofcohomology operation s in the general setting, since the basis of the spectral sequence is the initial data ofExt functor s taken with respect to a ring of such operations, generalising theSteenrod algebra . The resultingAdams-Novikov spectral sequence is now a basic tool instable homotopy theory .Novikov also carried out important research in

geometric topology , being one of the pioneers with William Browder,Dennis Sullivan andTerry Wall of thesurgery theory method for classifying high-dimensional manifolds. He proved the topological invarianceof the rationalPontryagin class es, and posed theNovikov conjecture . This work was recognised by the award in 1970 of theFields Medal . From about 1971 he moved to work in the field ofisospectral flow s, with connections to the theory oftheta function s.**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 theMoscow 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 also teaches at theUniversity of Maryland, College Park and is a Principal Researcher of theLandau Institute for Theoretical Physics inMoscow .In 2005 Novikov was awarded the

Wolf Prize for his contributions toalgebraic topology ,differential topology and tomathematical physics . He became one of just eight mathematicians who received both the Fields Medal and the Wolf Prize.**Awards***

Lenin Prize (1967)

*Fields Medal (1970)

*Lobachevsky Medal (1981)

*Wolf Prize (2005)**External links*** [

*http://www.mi.ras.ru/~snovikov/index.html Homepage*] and Curriculum Vitae on the website of Steklov Mathematical Institute

* [*http://higeom.math.msu.su/people/novikov/ Biography (in Russian)*] on the website ofMoscow State University

*MacTutor|id=Novikov_Sergi

*MathGenealogy|id=55147

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