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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Showing 51 to 56 of 56, page 2 of 2.
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1. Number Theory (Wikipedia)
WikipediaNumber theory, lead paragraphQuote, Number theory, lead paragraph
Number theory is a branch of mathematics devoted primarily to the study of the integers and arithmetic functions.
Joseph Liouville (Wikipedia)
Has Member: Joseph Liouville, Contributions, transcendental numbersQuote, Has Member: Joseph Liouville, Contributions, transcendental numbers
In 1844, Liouville was the first to prove the existence of transcendental numbers.
Gotthold Eisenstein (Wikipedia)
Has Member: Gotthold Eisenstein, Challenges and continued research, reciprocityQuote, Has Member: Gotthold Eisenstein, Challenges and continued research, reciprocity
He made significant contributions to quadratic partitions of prime numbers and the reciprocity laws.
G. H. Hardy (Wikipedia)
Has Member: G. H. Hardy, Lead, field of workQuote, Has Member: G. H. Hardy, Lead, field of work
known for his achievements in number theory
André Weil (Wikipedia)
Has Member: André Weil, Lead, group placementQuote, Has Member: André Weil, Lead, group placement
known for his foundational work in number theory and algebraic geometry
Israel Gelfand (Wikipedia)
Has Member: Israel Gelfand, Lead, group placementQuote, Has Member: Israel Gelfand, Lead, group placement
including group theory, representation theory and functional analysis
Samuel Eilenberg (Wikipedia)
Has Member: Samuel Eilenberg, Lead, group placementQuote, Has Member: Samuel Eilenberg, Lead, group placement
who co-founded category theory (with Saunders Mac Lane) and homological algebra
Jacques Tits (Wikipedia)
Has Member: Jacques Tits, Lead, group placementQuote, Has Member: Jacques Tits, Lead, group placement
who worked on group theory and incidence geometry
John Tate (mathematician) (Wikipedia)
Has Member: John Tate (mathematician), Lead, group placementQuote, Has Member: John Tate (mathematician), Lead, group placement
fundamental contributions in algebraic number theory, arithmetic geometry
Robert Langlands (Wikipedia)
Has Member: Robert Langlands, Lead, group placementQuote, Has Member: Robert Langlands, Lead, group placement
connecting representation theory and automorphic forms to the study of Galois groups in number theory
Michael Artin (Wikipedia)
Has Member: Michael Artin, Lead, group placementQuote, Has Member: Michael Artin, Lead, group placement
known for his contributions to algebraic geometry
Peter Sarnak (Wikipedia)
Has Member: Peter Sarnak, Lead, group placementQuote, Has Member: Peter Sarnak, Lead, group placement
He is known for his work in analytic number theory and differential geometry.
George Lusztig (Wikipedia)
Has Member: George Lusztig, Lead, group placementQuote, Has Member: George Lusztig, Lead, group placement
is a Romanian-born Hungarian-American mathematician
George Mostow (Wikipedia)
Has Member: George Mostow, Lead, group placementQuote, Has Member: George Mostow, Lead, group placement
renowned for his contributions to Lie theory
Ilya Piatetski-Shapiro (Wikipedia)
Has Member: Ilya Piatetski-Shapiro, Lead, group placementQuote, Has Member: Ilya Piatetski-Shapiro, Lead, group placement
analytic number theory, group representations and algebraic geometry
Joseph Bernstein (Wikipedia)
Has Member: Joseph Bernstein, Lead, group placementQuote, Has Member: Joseph Bernstein, Lead, group placement
He works in algebraic geometry, representation theory, and number theory
Michael Aschbacher (Wikipedia)
Has Member: Michael Aschbacher, Lead, group placementQuote, Has Member: Michael Aschbacher, Lead, group placement
is an American mathematician best known for his work on finite groups
David Kazhdan (Wikipedia)
Has Member: David Kazhdan, Lead, group placementQuote, Has Member: David Kazhdan, Lead, group placement
known for work in representation theory
James Joseph Sylvester (Wikipedia)
Has Member: James Joseph Sylvester, Lead, group placementQuote, Has Member: James Joseph Sylvester, Lead, group placement
He made fundamental contributions to matrix theory, invariant theory, number theory, partition theory, and combinatorics
William Burnside (Wikipedia)
Has Member: William Burnside, Lead, group placementQuote, Has Member: William Burnside, Lead, group placement
He is known mostly as an early researcher in the theory of finite groups
Pietro Cataldi (Wikipedia)
Has Member: Pietro Cataldi, Lead, occupationQuote, Has Member: Pietro Cataldi, Lead, occupation
Cataldi discovered the sixth and seventh perfect numbers by 1588.
Lodovico Ferrari (Wikipedia)
Has Member: Lodovico Ferrari, Lead, field of workQuote, Has Member: Lodovico Ferrari, Lead, field of work
was an Italian mathematician best known today for solving the quartic equation
Oscar Zariski (Wikipedia)
Has Member: Oscar Zariski, Lead, algebraic geometryQuote, Has Member: Oscar Zariski, Lead, algebraic geometry
The Russian-born scientist was one of the most influential algebraic geometers of the 20th century.
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