Directions in Number Theory

Directions

What Does Number Theory Entail? (Stack Exchange)

Number Theory (Brown University)

Number Theory (n-lab)

Number Theory (Wikipedia)

Computational Number Theory







Resources

Number Theory on arxiv

 Number Theory Resources

Number Theory Web

University of Texas at Austin Number Theory

Gaurish Korpal (GitHub)

Awesome Math (GitHub)


Number Theory Timeline


A History of Number Theory (University of Chicago)

A Brief History of Number Theory (Wellesley)

Development of Mathematics (Judson)

Timeline (Wikipedia)

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Number Theory ~ Prime Numbers

On Prime Numbers

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Diophantus

Diophantus (Wikipedia)

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Fermat

Fermat (Wikipedia)

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Euler

Euler (Wikipedia)

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Lagrange

Lagrange (Wikipedia)

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Legendre

Legendre (Wikipedia)

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Gauss

Gauss (Wikipedia)

Disquisitones Arithmeticae (Wikipedia)

Disquisitiones Arithmeticae (Latin)

Disquisitiones Arithmeticae (English)

The Mathematics of Gauss

Gauss and Dirichlet

After Gauss

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Germain

Sophie Germain (Wikipedia)

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Abel

Abel (Wikipedia)

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Dirichlet

Dirichlet (Wikipedia)

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Kummer

Ernst Kummer (Wikipedia)

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Riemann

Riemann (Wikipedia)

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Hilbert

David Hilbert (Wikipedia)

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Weyl

Hermann Weyl (Wikipedia)

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Hardy

Hardy (Wikipedia)

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Vandiver

Harry Vandiver

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Ramanujan

Ramanujan (Wikipedia)

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Artin

Emil Artin

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André Weil

André Weil

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Iwasawa

Iwasawa (Wikipedia)

Iwasawa Theory (Jordan Schettler)

Iwasawa Theory (Romyar Sharifi)

Iwasawa Theory (Joaquín Rodrigues Jacinto and Chris Williams)

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Serre

Serre (Wikipedia)

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Lang

Lang (Wikipedia)

Lang

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Taniyama

Yutaka Taniyama (Wikipedia)

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Shimura

Shimura (Wikipedia)

Tate-Nakayama Theory, Kottwitz Cohomology, and the Formalism of Shimura Varieties | Richard Taylor

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Bourbaki

Bourbaki (Wikipedia)

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Hilbert's Göttingen

Hilbert's Göttingen

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Hellegouarch

Yves Hellegouarch (Wikipedia)

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Mazur

Barry Mazur (Wikipedia)

The Work of Barry Mazur (Henri Darmon)

Deformations of Galois Representations (Clara Lacrosse)

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Frey

Gerhard Frey (Wikipedia)

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Wagstaff

Samuel S. Wagstaff, Jr.

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Ribet

Ken Ribet (Wikipedia)

History of Fermat's Last Theorem (Ribet)

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Wiles

Andrew Wiles (Wikipedia)

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Richard Taylor

Richard Taylor (Wikipedia)

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Fermat's Last Theorem

Fermat's Last Theorem (Wikipedia)

Fermat's Last Theorem (John Rognes)

Fermat's Last Theorem (Quanta Magazine)

Galois Theory (Wikipedia)

Iwasawa Theory (Wikipedia)

Iwasawa Theory (Jordan Schettler)

Iwasawa Theory (Romyar Sharifi)

Iwasawa Theory (Joaquín Rodrigues Jacinto and Chris Williams)

Modularity Theorem (Wikipedia)

Modularity Theorem (Peter Zhou)

Andrew Wiles's Proof of Fermat's Last Theorem (Wikipedia)

Fermat's Last Theorem (Andrew Sutherland)

History of Fermat's Last Theorem (Ribet)

Kevin Buzzard

Fermat's Last Theorem in Lean


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Texts and Online Resources

G.H. Hardy and E.M. Wright

Cassels and Fröhlich

Silverman

Crisman

Stein

Kedlaya

Coppel


Sage Math

Stein

Algebraic Number Theory (Bachmann)

Bachmann

Crisman

Stange


Sites

Matthew Emerton (University of Chicago)

Hugh Montgomery (University of Michigan)


Videos

Basic Number Theory


Introduction to Number Theory



Analytic Number Theory



Topics in Algebraic Number Theory



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