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Sergei Novikov (mathematician)

Index Sergei Novikov (mathematician)

Sergei Petrovich Novikov (also Serguei) (Russian: Серге́й Петро́вич Но́виков) (born 20 March 1938) is a Soviet and Russian mathematician, noted for work in both algebraic topology and soliton theory. [1]

66 relations: Adams spectral sequence, Algebraic topology, Annals of Mathematics, Anton Zorich, C. T. C. Wall, Cambridge University Press, Cobordism, Cohomology, Cohomology operation, Corrado de Concini, Dennis Sullivan, Differential topology, Doctor of Philosophy, Enrico Arbarello, Ext functor, Fields Medal, Geometric topology, Homology (mathematics), Homotopy group, Independent University of Moscow, International Mathematical Union, Inventiones Mathematicae, Iskander Taimanov, Isospectral, Journal of Differential Geometry, K-theory, Kadomtsev–Petviashvili equation, Landau Institute for Theoretical Physics, Lenin Prize, Lobachevsky Prize, Lyudmila Keldysh, Mathematical physics, Mathematician, Mathematics, Mikhail Postnikov, Moscow, Moscow Mathematical Society, Moscow State University, Mstislav Keldysh, Nice, Nizhny Novgorod, Novikov conjecture, Novikov ring, Novikov–Shubin invariant, Pontryagin class, Pyotr Novikov, Russia, Russian Academy of Sciences, Russian language, Russian Soviet Federative Socialist Republic, ..., Sabir Gusein-Zade, Serbian Academy of Sciences and Arts, Soliton, Soviet Union, Stable homotopy theory, Steenrod algebra, Steklov Institute of Mathematics, Surgery theory, Takahiro Shiota, Theta function, University of Maryland College of Computer, Mathematical, and Natural Sciences, University of Maryland, College Park, Victor Buchstaber, William Browder (mathematician), Wolf Prize, Word problem for groups. Expand index (16 more) »

Adams spectral sequence

In mathematics, the Adams spectral sequence is a spectral sequence introduced by.

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Algebraic topology

Algebraic topology is a branch of mathematics that uses tools from abstract algebra to study topological spaces.

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Annals of Mathematics

The Annals of Mathematics is a bimonthly mathematical journal published by Princeton University and the Institute for Advanced Study.

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Anton Zorich

Anton V. Zorich (in Russian: Антон Владимирович Зорич; born 3 September 1962) is a Russian mathematician at the Institut Mathématiques de Jussieu.

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C. T. C. Wall

Charles Terence Clegg "Terry" Wall (born 14 December 1936) is a British mathematician, educated at Marlborough and Trinity College, Cambridge.

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Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

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Cobordism

In mathematics, cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary (French bord, giving cobordism) of a manifold.

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Cohomology

In mathematics, specifically in homology theory and algebraic topology, cohomology is a general term for a sequence of abelian groups associated to a topological space, often defined from a cochain complex.

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Cohomology operation

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.

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Corrado de Concini

Corrado de Concini (born July 28, 1949 in Rome) is an Italian mathematician.

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Dennis Sullivan

Dennis Parnell Sullivan (born February 12, 1941) is an American mathematician.

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Differential topology

In mathematics, differential topology is the field dealing with differentiable functions on differentiable manifolds.

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Doctor of Philosophy

A Doctor of Philosophy (PhD or Ph.D.; Latin Philosophiae doctor) is the highest academic degree awarded by universities in most countries.

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Enrico Arbarello

Enrico Arbarello is an Italian mathematician who is a leading expert in algebraic geometry.

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Ext functor

In mathematics, the Ext functors of homological algebra are derived functors of Hom functors.

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Fields Medal

The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years.

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Geometric topology

In mathematics, geometric topology is the study of manifolds and maps between them, particularly embeddings of one manifold into another.

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Homology (mathematics)

In mathematics, homology is a general way of associating a sequence of algebraic objects such as abelian groups or modules to other mathematical objects such as topological spaces.

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Homotopy group

In mathematics, homotopy groups are used in algebraic topology to classify topological spaces.

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Independent University of Moscow

The Independent University of Moscow (IUM) (Независимый Московский Университет (НМУ)) is a small educational organisation with rather informal status located in Moscow, Russia.

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International Mathematical Union

The International Mathematical Union (IMU) is an international non-governmental organization devoted to international cooperation in the field of mathematics across the world.

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Inventiones Mathematicae

Inventiones Mathematicae is a mathematical journal published monthly by Springer Science+Business Media.

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Iskander Taimanov

Iskander Asanovich Taimanov (20 December 1961, Искандер Асанович Тайманов) is a Russian mathematician whose research concerns geometry, calculus of variations, and soliton theory.

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Isospectral

In mathematics, two linear operators are called isospectral or cospectral if they have the same spectrum.

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Journal of Differential Geometry

The Journal of Differential Geometry is a peer-reviewed scientific journal of mathematics published by International Press on behalf of Lehigh University in 3 volumes of 3 issues each per year.

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K-theory

In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme.

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Kadomtsev–Petviashvili equation

In mathematics and physics, the Kadomtsev–Petviashvili equation – or KP equation, named after Boris Borisovich Kadomtsev and Vladimir Iosifovich Petviashvili – is a partial differential equation to describe nonlinear wave motion.

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Landau Institute for Theoretical Physics

The L. D. Landau Institute for Theoretical Physics of the Russian Academy of Sciences is a research institution, located in the small town of Chernogolovka near Moscow (there is also a subdivision in Moscow).

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Lenin Prize

The Lenin Prize (Ленинская премия, Leninskaya premiya) is one of the awards re-introduced in April 2018 in the Ulyanovsk Oblast, Russia, presented to individuals for accomplishments relating to science, literature, arts, architecture, and technology.

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Lobachevsky Prize

The Lobachevsky Prize, awarded by the Russian Academy of Sciences, and the Lobachevsky Medal, awarded by the Kazan State University, are mathematical awards in honor of Nikolai Ivanovich Lobachevsky.

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Lyudmila Keldysh

Lyudmila Keldysh (aka Ljudmila Vsevolodovna Keldyš; Людмила Всеволодовна Келдыш) (1904-1976) was a Russian mathematician known for set theory and geometric topology.

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Mathematical physics

Mathematical physics refers to the development of mathematical methods for application to problems in physics.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Mikhail Postnikov

Mikhail Mikhailovich Postnikov (Михаи́л Миха́йлович По́стников; 27 October 1927 – 27 May 2004) was a Soviet mathematician, known for his work in algebraic and differential topology.

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Moscow

Moscow (a) is the capital and most populous city of Russia, with 13.2 million residents within the city limits and 17.1 million within the urban area.

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Moscow Mathematical Society

The Moscow Mathematical Society (MMS) is a society of Moscow mathematicians aimed at the development of mathematics in Russia.

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Moscow State University

Lomonosov Moscow State University (MSU; Московский государственный университет имени М. В. Ломоносова, often abbreviated МГУ) is a coeducational and public research university located in Moscow, Russia.

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Mstislav Keldysh

Mstislav Vsevolodovich Keldysh (Мстисла́в Все́володович Ке́лдыш; – 24 June 1978) was a Soviet scientist in the field of mathematics and mechanics, academician of the USSR Academy of Sciences (1946), President of the USSR Academy of Sciences (1961–1975), three times Hero of Socialist Labor (1956, 1961, 1971), fellow of the Royal Society of Edinburgh (1968).

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Nice

Nice (Niçard Niça, classical norm, or Nissa, nonstandard,; Nizza; Νίκαια; Nicaea) is the fifth most populous city in France and the capital of the Alpes-Maritimes département.

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Nizhny Novgorod

Nizhny Novgorod (p), colloquially shortened to Nizhny, is a city in Russia and the administrative center (capital) of Volga Federal District and Nizhny Novgorod Oblast.

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Novikov conjecture

The Novikov conjecture is one of the most important unsolved problems in topology.

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Novikov ring

In mathematics, given an additive subgroup \Gamma \subset \mathbb, the Novikov ring \operatorname(\Gamma) of \Gamma is the subring of \mathbb consisting of formal sums \sum n_ t^ such that \gamma_1 > \gamma_2 > \cdots and \gamma_i \to -\infty.

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Novikov–Shubin invariant

In mathematics, a Novikov–Shubin invariant.

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Pontryagin class

In mathematics, the Pontryagin classes, named for Lev Pontryagin, are certain characteristic classes.

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Pyotr Novikov

Pyotr Sergeyevich Novikov (Пётр Серге́евич Но́виков; 15 August 1901, Moscow, Russian Empire – 9 January 1975, Moscow, Soviet Union) was a Soviet mathematician.

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Russia

Russia (rɐˈsʲijə), officially the Russian Federation (p), is a country in Eurasia. At, Russia is the largest country in the world by area, covering more than one-eighth of the Earth's inhabited land area, and the ninth most populous, with over 144 million people as of December 2017, excluding Crimea. About 77% of the population live in the western, European part of the country. Russia's capital Moscow is one of the largest cities in the world; other major cities include Saint Petersburg, Novosibirsk, Yekaterinburg and Nizhny Novgorod. Extending across the entirety of Northern Asia and much of Eastern Europe, Russia spans eleven time zones and incorporates a wide range of environments and landforms. From northwest to southeast, Russia shares land borders with Norway, Finland, Estonia, Latvia, Lithuania and Poland (both with Kaliningrad Oblast), Belarus, Ukraine, Georgia, Azerbaijan, Kazakhstan, China, Mongolia and North Korea. It shares maritime borders with Japan by the Sea of Okhotsk and the U.S. state of Alaska across the Bering Strait. The East Slavs emerged as a recognizable group in Europe between the 3rd and 8th centuries AD. Founded and ruled by a Varangian warrior elite and their descendants, the medieval state of Rus arose in the 9th century. In 988 it adopted Orthodox Christianity from the Byzantine Empire, beginning the synthesis of Byzantine and Slavic cultures that defined Russian culture for the next millennium. Rus' ultimately disintegrated into a number of smaller states; most of the Rus' lands were overrun by the Mongol invasion and became tributaries of the nomadic Golden Horde in the 13th century. The Grand Duchy of Moscow gradually reunified the surrounding Russian principalities, achieved independence from the Golden Horde. By the 18th century, the nation had greatly expanded through conquest, annexation, and exploration to become the Russian Empire, which was the third largest empire in history, stretching from Poland on the west to Alaska on the east. Following the Russian Revolution, the Russian Soviet Federative Socialist Republic became the largest and leading constituent of the Union of Soviet Socialist Republics, the world's first constitutionally socialist state. The Soviet Union played a decisive role in the Allied victory in World War II, and emerged as a recognized superpower and rival to the United States during the Cold War. The Soviet era saw some of the most significant technological achievements of the 20th century, including the world's first human-made satellite and the launching of the first humans in space. By the end of 1990, the Soviet Union had the world's second largest economy, largest standing military in the world and the largest stockpile of weapons of mass destruction. Following the dissolution of the Soviet Union in 1991, twelve independent republics emerged from the USSR: Russia, Ukraine, Belarus, Kazakhstan, Uzbekistan, Armenia, Azerbaijan, Georgia, Kyrgyzstan, Moldova, Tajikistan, Turkmenistan and the Baltic states regained independence: Estonia, Latvia, Lithuania; the Russian SFSR reconstituted itself as the Russian Federation and is recognized as the continuing legal personality and a successor of the Soviet Union. It is governed as a federal semi-presidential republic. The Russian economy ranks as the twelfth largest by nominal GDP and sixth largest by purchasing power parity in 2015. Russia's extensive mineral and energy resources are the largest such reserves in the world, making it one of the leading producers of oil and natural gas globally. The country is one of the five recognized nuclear weapons states and possesses the largest stockpile of weapons of mass destruction. Russia is a great power as well as a regional power and has been characterised as a potential superpower. It is a permanent member of the United Nations Security Council and an active global partner of ASEAN, as well as a member of the G20, the Shanghai Cooperation Organisation (SCO), the Council of Europe, the Asia-Pacific Economic Cooperation (APEC), the Organization for Security and Co-operation in Europe (OSCE), and the World Trade Organization (WTO), as well as being the leading member of the Commonwealth of Independent States (CIS), the Collective Security Treaty Organization (CSTO) and one of the five members of the Eurasian Economic Union (EEU), along with Armenia, Belarus, Kazakhstan and Kyrgyzstan.

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Russian Academy of Sciences

The Russian Academy of Sciences (RAS; Росси́йская акаде́мия нау́к (РАН) Rossíiskaya akadémiya naúk) consists of the national academy of Russia; a network of scientific research institutes from across the Russian Federation; and additional scientific and social units such as libraries, publishing units, and hospitals.

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Russian language

Russian (rússkiy yazýk) is an East Slavic language, which is official in Russia, Belarus, Kazakhstan and Kyrgyzstan, as well as being widely spoken throughout Eastern Europe, the Baltic states, the Caucasus and Central Asia.

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Russian Soviet Federative Socialist Republic

The Russian Soviet Federative Socialist Republic (Russian SFSR or RSFSR; Ru-Российская Советская Федеративная Социалистическая Республика.ogg), also unofficially known as the Russian Federation, Soviet Russia,Declaration of Rights of the laboring and exploited people, article I or Russia (rɐˈsʲijə; from the Ρωσία Rōsía — Rus'), was an independent state from 1917 to 1922, and afterwards the largest, most populous, and most economically developed union republic of the Soviet Union from 1922 to 1991 and then a sovereign part of the Soviet Union with priority of Russian laws over Union-level legislation in 1990 and 1991.

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Sabir Gusein-Zade

Sabir Medgidovich Gusein-Zade (Сабир Меджидович Гусейн-Заде; born 29 July 1950 in Moscow) is a Russian mathematician and a specialist in singularity theory and its applications.

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Serbian Academy of Sciences and Arts

The Serbian Academy of Sciences and Arts (Српска академија наука и уметности/Srpska akademija nauka i umetnosti, abbr. САНУ/SANU) is a national academy and the most prominent academic institution in Serbia, founded in 1841.

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Soliton

In mathematics and physics, a soliton is a self-reinforcing solitary wave packet that maintains its shape while it propagates at a constant velocity.

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Soviet Union

The Soviet Union, officially the Union of Soviet Socialist Republics (USSR) was a socialist state in Eurasia that existed from 1922 to 1991.

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Stable homotopy theory

In mathematics, stable homotopy theory is that part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor.

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Steenrod algebra

In algebraic topology, a Steenrod algebra was defined by to be the algebra of stable cohomology operations for mod p cohomology.

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Steklov Institute of Mathematics

Steklov Institute of Mathematics or Steklov Mathematical Institute (Математический институт имени В.А.Стеклова) is a premier research institute based in Moscow, specialized in mathematics, and a part of the Russian Academy of Sciences.

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Surgery theory

In mathematics, specifically in geometric topology, surgery theory is a collection of techniques used to produce one finite-dimensional manifold from another in a 'controlled' way, introduced by.

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Takahiro Shiota

is a Japanese mathematician at Kyoto University.

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Theta function

In mathematics, theta functions are special functions of several complex variables.

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University of Maryland College of Computer, Mathematical, and Natural Sciences

The College of Computer, Mathematical, and Natural Sciences (CMNS) at the University of Maryland, College Park, is home to ten academic departments and a dozen interdisciplinary research centers and institutes.

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University of Maryland, College Park

The University of Maryland, College Park (commonly referred to as the University of Maryland, UMD, or simply Maryland) is a public research university located in the city of College Park in Prince George's County, Maryland, approximately from the northeast border of Washington, D.C. Founded in 1856, the university is the flagship institution of the University System of Maryland.

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Victor Buchstaber

Victor Matveevich Buchstaber (Виктор Матвеевич Бухштабер, born 1 April 1943, Tashkent, Soviet Union) is a Soviet and Russian mathematician known for his work on algebraic topology, homotopy theory, and mathematical physics.

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William Browder (mathematician)

William Browder (born January 6, 1934) from Browder's web site, retrieved 2010-10-06.

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Wolf Prize

The Wolf Prize is an international award granted in Israel, that has been presented most years since 1978 to living scientists and artists for "achievements in the interest of mankind and friendly relations among people...

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Word problem for groups

In mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a finitely generated group G is the algorithmic problem of deciding whether two words in the generators represent the same element.

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Redirects here:

Novikov, Sergei Petrovich, S. P. Novikov, S.P. Novikov, Sergei P. Novikov, Sergei Petrovich Novikov, Sergey Petrovich Novikov.

References

[1] https://en.wikipedia.org/wiki/Sergei_Novikov_(mathematician)

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