# Mathematician:John Torrence Tate

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## Mathematician

American mathematician known for his contributions to algebraic number theory, algebraic geometry and arithmetic geometry.

One of the few members of the Bourbaki group who was not actually French.

### Wolf Prize

John Torrence Tate was awarded a Wolf Prize for Mathematics in $\text {2002/03}$:

*For his creation of fundamental concepts in algebraic number theory.*

### Abel Prize

John Torrence Tate was awarded an Abel Prize in $\text {2010}$:

*For his vast and lasting impact on the theory of numbers.*

## Nationality

American

## History

- Born: 13 March 1925 in Minneapolis, Minnesota, USA
- 1956: Cole Prize
- 1995: Steele Prize
- 2002/2003: Wolf Prize
- 2010: Abel Prize
- Died: 16 October 2019 in Lexington, Massachusetts, U.S

## Theorems and Definitions

- Barsotti-Tate Group (with Iacopo Barsotti)
- Hodge-Tate Module (with William Vallance Douglas Hodge)
- Koszul-Tate Resolution (with Jean-Louis Koszul)
- Mumford-Tate Group (with David Bryant Mumford) (also known as a Hodge Group for William Vallance Douglas Hodge)
- Néron-Tate Height (with André Néron)
- Shafarevich-Tate Group (with Igor Rostislavovich Shafarevich) (also known as a Tate-Shafarevich Group)
- Tate-Hodge Structure (with William Vallance Douglas Hodge)

- Artin-Tate Lemma (with Emil Artin)
- Birch-Tate Conjecture (with Bryan John Birch)
- Hodge-Tate Theorem (with William Vallance Douglas Hodge)
- Lubin-Tate Formal Group Law (with Jonathan Darby Lubin)
- Poitou-Tate Duality (with Georges Poitou) (also known as Tate Duality)
- Sato-Tate Conjecture (independently of Mikio Sato)
- Serre-Tate Theorem (with Jean-Pierre Serre)

## Publications

- 1992:
*Rational Points on Elliptic Curves*(with Joseph Hillel Silverman) - 1997:
*Finite Flat Group Schemes*(*Modular Forms and Fermat's Last Theorem*pp. 121 – 154) (edited by Gary Cornell, Joseph H. Silverman and Glenn Stevens)

## Also known as

Usually identified as **John Torrence Tate, Jr.** in order to distinguish him from his father, who was a renowned physicist.