# Mathematician:Michael Francis Atiyah

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## Mathematician

English mathematician specialising in geometry.

### Fields Medal

Michael Francis Atiyah was awarded a Fields Medal in $\text {1966}$ at the International Congress of Mathematicians in Moscow, Russia:

*Did joint work with Hirzebruch in K-theory; proved jointly with Singer the index theorem of elliptic operators on complex manifolds; worked in collaboration with Bott to prove a fixed point theorem related to the 'Lefschetz formula'.*

### Abel Prize

Michael Francis Atiyah was awarded an Abel Prize with Isadore Manuel Singer in $\text {2004}$:

*For their discovery and proof of the index theorem, bringing together topology, geometry and analysis, and their outstanding role in building new bridges between mathematics and theoretical physics.*

## Nationality

English

## History

- Born: 22 April 1929 in Hampstead, London
- Died: 11 January 2019

## Theorems and Definitions

- Atiyah-Hirzebruch Spectral Sequence (with Friedrich Ernst Peter Hirzebruch)
- Atiyah-Segal Completion Theorem (with Graeme Bryce Segal)
- Atiyah-Singer Index Theorem (with Isadore Manuel Singer)
- Atiyah-Patodi-Singer Eta Invariant (with Vijay Kumar Patodi and Isadore Manuel Singer)
- Atiyah-Hitchin-Singer Theorem (with Nigel James Hitchin and Isadore Manuel Singer)
- Atiyah-Jones Conjecture (with J.D.S. Jones)
- Atiyah-Bott Fixed-Point Theorem (with Raoul Bott)

## Publications

- 1969:
*Introduction to Commutative Algebra*(with I.G. MacDonald)

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## Sources

- 2014: Christopher Clapham and James Nicholson:
*The Concise Oxford Dictionary of Mathematics*(5th ed.) ... (previous) ... (next):**Atiyah, Sir Michael Francis FRS**(1929- )