Mathematician:Michael Francis Atiyah

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)

• AGS Convexity Theorem (with Victor William Guillemin and Shlomo Zvi Sternberg)

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): Entry: Atiyah, Sir Michael Francis FRS (1929-  )