Group

Algebra And Number Theory

This group collects the Mathematics subcategory's members whose defining work concerns algebra and number theory: abstract algebra, group theory, ring theory and the properties of numbers themselves, from the founders of algebraic notation to the modern number theorists who proved centuries-old conjectures. It is kept apart from Geometry And Topology, whose members work primarily in algebraic geometry or topology rather than algebra and number theory as their own subject.

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Algebra And Number Theory
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Alan Baker

Mathematics
3 links

Al-Khwarizmi

Mathematics
3 links

André Weil

Mathematics
4 links

Arthur Cayley

Mathematics
2 links

Atle Selberg

Mathematics
2 links

Augustin-Louis Cauchy

Mathematics
2 links

Augustus De Morgan

Mathematics
4 links

Carl Gustav Jacob Jacobi

Mathematics
2 links

Claude Shannon

Mathematics
5 links

Daniel Quillen

Mathematics
2 links

David Kazhdan

Mathematics
3 links

Diophantus

Mathematics
1 link

Efim Zelmanov

Mathematics
2 links

Emmy Noether

Mathematics
5 links

Évariste Galois

Mathematics
1 link

G. H. Hardy

Mathematics
2 links

George Boole

Mathematics
2 links

George Lusztig

Mathematics
3 links

George Mostow

Mathematics
3 links

Gotthold Eisenstein

Mathematics
3 links

Ibn Ghazi al-Miknasi

Mathematics
1 link

Ilya Piatetski-Shapiro

Mathematics
4 links

Israel Gelfand

Mathematics
3 links

Jacques Tits

Mathematics
4 links

James Joseph Sylvester

Mathematics
5 links

James Maynard

Mathematics
4 links

John Tate (mathematician)

Mathematics
3 links

Joseph Bernstein

Mathematics
5 links

Joseph Liouville

Mathematics
3 links

Klaus Roth

Mathematics
3 links

Laurent Lafforgue

Mathematics
2 links

Leopold Kronecker

Mathematics
2 links

Lodovico Ferrari

Mathematics
2 links

Maryna Viazovska

Mathematics
3 links

Michael Artin

Mathematics
2 links

Michael Aschbacher

Mathematics
4 links

Niels Henrik Abel

Mathematics
2 links

Oscar Zariski

Mathematics
4 links

Pafnuty Chebyshev

Mathematics
2 links

Paul Erdős

Mathematics
7 links

Peter Gustav Lejeune Dirichlet

Mathematics
3 links

Peter Sarnak

Mathematics
3 links

Pierre de Fermat

Mathematics
2 links

Pierre-Simon Laplace

Mathematics
3 links

Pietro Cataldi

Mathematics
1 link

Richard Borcherds

Mathematics
2 links

Richard Dedekind

Mathematics
3 links

Robert Langlands

Mathematics
3 links

Samuel Eilenberg

Mathematics
2 links

Sergei Adian

Mathematics
2 links

Showing 1 to 50 of 56, page 1 of 2.

Sources
1. Number Theory (Wikipedia)
WikipediaNumber theory, lead paragraph
Quote, Number theory, lead paragraph
Number theory is a branch of mathematics devoted primarily to the study of the integers and arithmetic functions.
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Joseph Liouville (Wikipedia)
Has Member: Joseph Liouville, Contributions, transcendental numbers
Quote, Has Member: Joseph Liouville, Contributions, transcendental numbers
In 1844, Liouville was the first to prove the existence of transcendental numbers.
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Gotthold Eisenstein (Wikipedia)
Has Member: Gotthold Eisenstein, Challenges and continued research, reciprocity
Quote, Has Member: Gotthold Eisenstein, Challenges and continued research, reciprocity
He made significant contributions to quadratic partitions of prime numbers and the reciprocity laws.
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G. H. Hardy (Wikipedia)
Has Member: G. H. Hardy, Lead, field of work
Quote, Has Member: G. H. Hardy, Lead, field of work
known for his achievements in number theory
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André Weil (Wikipedia)
Has Member: André Weil, Lead, group placement
Quote, Has Member: André Weil, Lead, group placement
known for his foundational work in number theory and algebraic geometry
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Israel Gelfand (Wikipedia)
Has Member: Israel Gelfand, Lead, group placement
Quote, Has Member: Israel Gelfand, Lead, group placement
including group theory, representation theory and functional analysis
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Samuel Eilenberg (Wikipedia)
Has Member: Samuel Eilenberg, Lead, group placement
Quote, Has Member: Samuel Eilenberg, Lead, group placement
who co-founded category theory (with Saunders Mac Lane) and homological algebra
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Jacques Tits (Wikipedia)
Has Member: Jacques Tits, Lead, group placement
Quote, Has Member: Jacques Tits, Lead, group placement
who worked on group theory and incidence geometry
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John Tate (mathematician) (Wikipedia)
Has Member: John Tate (mathematician), Lead, group placement
Quote, Has Member: John Tate (mathematician), Lead, group placement
fundamental contributions in algebraic number theory, arithmetic geometry
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Robert Langlands (Wikipedia)
Has Member: Robert Langlands, Lead, group placement
Quote, Has Member: Robert Langlands, Lead, group placement
connecting representation theory and automorphic forms to the study of Galois groups in number theory
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Michael Artin (Wikipedia)
Has Member: Michael Artin, Lead, group placement
Quote, Has Member: Michael Artin, Lead, group placement
known for his contributions to algebraic geometry
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Peter Sarnak (Wikipedia)
Has Member: Peter Sarnak, Lead, group placement
Quote, Has Member: Peter Sarnak, Lead, group placement
He is known for his work in analytic number theory and differential geometry.
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George Lusztig (Wikipedia)
Has Member: George Lusztig, Lead, group placement
Quote, Has Member: George Lusztig, Lead, group placement
is a Romanian-born Hungarian-American mathematician
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George Mostow (Wikipedia)
Has Member: George Mostow, Lead, group placement
Quote, Has Member: George Mostow, Lead, group placement
renowned for his contributions to Lie theory
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Ilya Piatetski-Shapiro (Wikipedia)
Has Member: Ilya Piatetski-Shapiro, Lead, group placement
Quote, Has Member: Ilya Piatetski-Shapiro, Lead, group placement
analytic number theory, group representations and algebraic geometry
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Joseph Bernstein (Wikipedia)
Has Member: Joseph Bernstein, Lead, group placement
Quote, Has Member: Joseph Bernstein, Lead, group placement
He works in algebraic geometry, representation theory, and number theory
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Michael Aschbacher (Wikipedia)
Has Member: Michael Aschbacher, Lead, group placement
Quote, Has Member: Michael Aschbacher, Lead, group placement
is an American mathematician best known for his work on finite groups
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David Kazhdan (Wikipedia)
Has Member: David Kazhdan, Lead, group placement
Quote, Has Member: David Kazhdan, Lead, group placement
known for work in representation theory
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James Joseph Sylvester (Wikipedia)
Has Member: James Joseph Sylvester, Lead, group placement
Quote, Has Member: James Joseph Sylvester, Lead, group placement
He made fundamental contributions to matrix theory, invariant theory, number theory, partition theory, and combinatorics
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William Burnside (Wikipedia)
Has Member: William Burnside, Lead, group placement
Quote, Has Member: William Burnside, Lead, group placement
He is known mostly as an early researcher in the theory of finite groups
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Pietro Cataldi (Wikipedia)
Has Member: Pietro Cataldi, Lead, occupation
Quote, Has Member: Pietro Cataldi, Lead, occupation
Cataldi discovered the sixth and seventh perfect numbers by 1588.
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Lodovico Ferrari (Wikipedia)
Has Member: Lodovico Ferrari, Lead, field of work
Quote, Has Member: Lodovico Ferrari, Lead, field of work
was an Italian mathematician best known today for solving the quartic equation
View the Source
Oscar Zariski (Wikipedia)
Has Member: Oscar Zariski, Lead, algebraic geometry
Quote, Has Member: Oscar Zariski, Lead, algebraic geometry
The Russian-born scientist was one of the most influential algebraic geometers of the 20th century.
View the Source
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