Award Cole Prize

Putnam Fellow (1946 and 1947)

Fulbright Fellowship

Guggenheim Fellowship

American Academy of Arts and Sciences (1968)

Leroy P. Steele Prize ( [1996])

Guggenheim Fellowship (1979 (1979)

Asahi Glass Foundation's Blue Planet Prize (1991)

Steele Prize (Lifetime Achievement -1996)

AMS Colloquium Lecturer (2001)

Nemmers Prize (2016)

Shaw Prize (2017)

Knight Commander, Order of the British Empire (2000)

MacArthur Fellow (1997)

Royal Society (1989)

American Academy of Arts & Sciences (1994)

American Philosophical Society (1997)

Whitehead Prize (1988)

Ostrowski Prize (1995)

Rolf Schock Prize (1995)

Fermat Prize (1995)

Wolf Prize in Mathematics (1995)

Foreign Associate, National Academy of Sciences (1996)

NAS Award in Mathematics (1996)

Royal Medal (1996)

Wolfskehl Prize (1997)

King Faisal International Prize in Science (1998)

Clay Research Award (1999)

Premio Pitagora (2004)

Shaw Prize (2005)

Abel Prize (2016)

Copley Medal (2017)

De Morgan Medal (2019)