Sergei Petrovich Novikov (also Serguei) (Russian: Сергей Петрович Новиков) (born 20 March 1938) is a Russian mathematician, noted for work in both algebraic topology and soliton theory. He was born in Gorky, Russian SFSR (now Nizhny Novgorod, Russia). March 20 is the 79th day of the year in the Gregorian Calendar (80th in Leap years). ... 1938 (MCMXXXVIII) was a common year starting on Saturday (link will take you to calendar). ... This article is in need of attention from an expert on the subject. ... Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological spaces. ... A soliton is a self-reinforcing solitary wave caused by nonlinear effects in the medium. ... The name Gorki or Gorky (Горький) can refer to any of the following things: Leninskie Gorki (Горки) - a village near Moscow where Lenin died in 1924 Nizhny Novgorod (from 1932-1990 called Gorki) Maxim Gorky Arshile Gorky Gorky Park (Novel) - a novel by Martin Cruz Smith Gorki,a Belgian band... State motto: Пролетарии всех стран, соединяйтесь! (Workers of the world, unite!) Official language None (Russian in practice) Capital Moscow (last) Chairman of the Supreme Council Boris Yeltsin Established In the USSR:  - Since  - Until November 7, 1917 December 30, 1922 December 12, 1991 Area  - Total  - % water Ranked 1st in former Soviet Union 17,075,200... Nizhny Novgorod (Russian: Ни́жний Но́вгород), colloquially shortened as Nizhny and also transliterated into English as Nizhniy Novgorod or Nizhni Novgorod, is the fourth largest city of the Russian Federation, ranking after Moscow, Saint Petersburg and Novosibirsk. ...

Sergei grew up in a family of talented mathematicians. His father was Pyotr Sergeyevich Novikov, who gave the negative solution of the word problem for groups. His mother Ludmila and uncle Mstislav were also important mathematicians. Pyotr Sergeyevich Novikov (August 15, 1901 - January 9, 1975) was a Russian mathematician who was born in Moscow, Russia and died in Moscow, Russia. ... In abstract algebra, the word problem for groups is the problem of deciding whether two given words of a presentation of a group represent the same element. ... Sergei Korolev (left), Igor Kurchatov (center) Mstislav Keldysh (right) 1956 Mstislav Vsevolodovich Keldysh (Мстислав Всеволодович Келдыш in Russian) (January 28 (N.S. February 10), 1911, Riga - 1978, Moscow) was a Soviet scientist in the field of mathematics and mechanics, academician of the Soviet Academy of Sciences (1946), President of the Soviet Academy of...

In 1955 Novikov entered the Moscow State University (graduated from it in 1960). Four years later he received the Moscow 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 to PhD). 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 the USSR Academy of Sciences. 1955 (MCMLV) was a common year starting on Saturday of the Gregorian calendar. ... Moscow State University campus M.V. Lomonosov Moscow State University (Russian: Московский Государственный Университет имени Ðœ.Ð’.Ломоносова, often abbreviated МГУ, MSU, MGU) is the largest and oldest university in Russia, founded in 1755. ... 1960 (MCMLX) was a leap year starting on Friday (link will take you to calendar). ... PhD usually refers to the academic title Doctor of Philosophy PhD can also refer to the manga Phantasy Degree This is a disambiguation page — a list of pages that otherwise might share the same title. ... 1965 (MCMLXV) was a common year starting on Friday (link goes to calendar). ... 1966 (MCMLXVI) was a common year starting on Saturday (link goes to calendar) // Events January January 1 - In a coup, Colonel Jean-Bédel Bokassa ousts president David Dacko and takes over the Central African Republic. ... Russian Academy of Sciences (Росси́йская Акаде́мия Нау́к) is the national academy of Russia. ...

His early work was in cobordism theory, in relative isolation. Among other advances he showed how the Adams spectral sequence, a powerful tool for proceeding from homology theory to the calculation of homotopy groups, could be adapted to the new (at that time) cohomology theory typified by cobordism and K-theory. This required the development of the idea of cohomology operations in the general setting, since the basis of the spectral sequence is the initial data of Ext functors taken with respect to a ring of such operations, generalising the Steenrod algebra. The resulting Adams-Novikov spectral sequence is now a basic tool in stable homotopy theory. In mathematics, cobordism is a relation between manifolds, based on the idea of boundary. ... In mathematics, homology theory is the axiomatic study of the intuitive geometric idea of homology of cycles on topological spaces. ... In mathematics, homotopy groups are used in algebraic topology to classify topological spaces. ... In mathematics, specifically in algebraic topology, cohomology is a general term for a sequence of abelian groups defined from a cochain complex. ... The topic of K-theory spans the subjects of algebraic topology, abstract algebra and some areas of application like operator algebras and algebraic geometry. ... In mathematics, the cohomology operation concept became central to algebraic topology, particularly homotopy theory, from the 1950s onwards, in the shape of the simple definition that if F is a functor defining a cohomology theory, then a cohomology operation should be a natural transformation from F to itself. ... In mathematics, the Ext functors of homological algebra are derived functors of functors. ... In algebraic topology, a branch of mathematics, the Steenrod algebra is a structure occurring in the theory of cohomology operations. ... In mathematics, stable homotopy theory is a branch of algebraic topology. ...

Novikov also carried out important research in geometric topology, and posed the Novikov conjecture. This work was recognised by the award in 1970 of the Fields Medal. From about 1971 he moved to work in the field of isospectral flows, with connections to the theory of theta functions. In mathematics, geometric topology is the study of manifolds and their embeddings, with representative topics being knot theory and braid groups. ... The Novikov conjecture is one of the most important unsolved problems in topology. ... The Fields Medal is a prize awarded to up to four mathematicians (not over forty years of age) at each International Congress of International Mathematical Union (therefore once every four years), since 1936 and regularly since 1950 at the initiative of the Canadian mathematician John Charles Fields. ... In mathematics, two linear operators are called isospectral if they have the same spectrum. ... In mathematics, theta functions are special functions of several complex variables. ...

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. 1971 (MCMLXXI) is a common year starting on Friday (click for link to calendar). ... L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences is a research institution devoted primarily to the theoretical studies of Condensed matter theory Quantum field theory Nuclear and elementary particle physics Computational physics Nonlinear dynamics Mathematical physics It was formed in 1965 from a reserch group... 1981 (MCMLXXXI) is a common year starting on Thursday of the Gregorian calendar. ... Russian Academy of Sciences: main building Russian Academy of Sciences (Росси́йская Акаде́мия Нау́к) is the national academy of Russia. ... 1991 (MCMXCI) is a common year starting on Tuesday of the Gregorian calendar. ... 1982 (MCMLXXXII) is a common year starting on Friday of the Gregorian calendar. ... Moscow State University campus M.V. Lomonosov Moscow State University (Russian: Московский Государственный Университет имени М.В.Ломоносова, often abbreviated МГУ, MSU, MGU) is the largest and oldest university in Russia, founded in 1755. ...

As of 2004, Sergei is the Head of the Department of geometry and topology at the Steklov Mathematical Institute, he also teaches at the University of Maryland, College Park and is a Principal Researcher of the Landau Institute for Theoretical Physics in Moscow. 2004 is a leap year starting on Thursday of the Gregorian calendar. ... Steklov Institute of Mathematics or Steklov Mathematical Institute (Russian: Математический институт имени В.А.Стеклова) is a research institute specialized in Mathematics. ... The University of Maryland, College Park (also known as UM, UMD, or UMCP) is a public university located in College Park, Maryland, just outside Washington, D.C., USA. As the flagship institution of the University System of Maryland, the university is most often referred to as the University of Maryland... L.D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences is a research institution devoted primarily to the theoretical studies of Condensed matter theory Quantum field theory Nuclear and elementary particle physics Computational physics Nonlinear dynamics Mathematical physics It was formed in 1965 from a reserch group... Moscow (Russian: Москва́, Moskva, IPA: ▶) is the capital of Russia, located on the river Moskva. ...

In 2005 Novikov was awarded the Wolf Prize for his contributions to algebraic topology, differential topology and to mathematical physics. He became one of just eight mathematicians who received both the Fields Medal and the Wolf Prize. 2005 (MMV) is a common year starting on Saturday of the Gregorian calendar. ... The Wolf Prize has been awarded annually since 1978 to living scientists and artists for achievements in the interest of mankind and friendly relations among peoples, irrespective of nationality, race, colour, religion, sex or political views. The prize is awarded in Israel by the Wolf Foundation, founded by Dr. Ricardo... Algebraic topology is a branch of mathematics in which tools from abstract algebra are used to study topological spaces. ... In mathematics, differential topology is the field dealing with differentiable functions on differentiable manifolds. ... Mathematical physics is the scientific discipline concerned with the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories1. ...

Awards

• Lenin Prize (1967)
• Fields Medal (1970)
• Lobachevsky International Prize (1981)
• Wolf Prize (2005)

Lenin Prize (Russian: Ле́нинская пре́мия) was one of the highest awards in the Soviet Union. ... The Fields Medal is a prize awarded to up to four mathematicians (not over forty years of age) at each International Congress of International Mathematical Union (therefore once every four years), since 1936 and regularly since 1950 at the initiative of the Canadian mathematician John Charles Fields. ... The Wolf Prize has been awarded annually since 1978 to living scientists and artists for achievements in the interest of mankind and friendly relations among peoples, irrespective of nationality, race, colour, religion, sex or political views. The prize is awarded in Israel by the Wolf Foundation, founded by Dr. Ricardo...

External links

• Curriculum Vitae on the website of Steklov Mathematical Institute
• Biography (in Russian) on the website of Moscow State University
• Biography of S.P. Novikov