Cambridge is saddened by the passing of two remarkable mathematicians in recent weeks, Sir Michael Atiyah and Sir Peter Swinnerton-Dyer. Both men made an indelible mark in the subject, with Atiyah receiving the Fields Medal in 1966, and Swinnerton-Dyer postulating the Birch Swinnerton-Dyer Conjecture.

Atiyah specialised in geometry, including K theory, Index theory and Gauge theory. His Fields Medal was awarded for his work in developing K-theory, a generalised Lefschetz fixed-point theorem and the Atiyah-Singer theorem – for which he was also awarded the Abel Prize (jointly with Isadore Singer) in 2004. An extensive list of awards and honorary degrees underscore his impact on mathematics and the respect he earned from the mathematics community.

Swinnerton-Dyer specialised in number theory. The famous Birch and Swinnerton-Dyer Conjecture is considered one of most important outstanding conjectures of the 20th century. Its origins lie in innovative numerical investigations that Swinnerton-Dyer carried out on one of the earliest computers available at the University of Cambridge. He was awarded the Pólya Prize and the Sylvester Prize in 2006. We at Cambridge University Press remember him particularly as a very active and committed member of our governing body the Press Syndicate in the 1970s and early-80s.

To commemorate the work of both men, we invite you to explore a selection of papers written by Atiyah and Swinnerton-Dyer. All papers are free to read on Cambridge Core through 31st March 2019.

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