John Milnor

John Willard Milnor
Milnor at the Celebration of the 90th birthday of Beno Eckmann, Zürich
Born	(1931-02-20) February 20, 1931 (age 93) Orange, New Jersey
Nationality	American
Alma mater	Princeton University (AB, PhD)
Known for	Exotic spheres Fáry–Milnor theorem Hauptvermutung Milnor K-theory Microbundle Milnor Map, Milnor number and Milnor fibration in the theory of complex hypersurface singularities, part of singularity theory and algebraic geometry Milnor–Thurston kneading theory Plumbing Milnor–Wood inequality Surgery theory Kervaire-Milnor theorem Isospectral Non-Isometric compact Riemannian manifolds Švarc–Milnor lemma
Spouse	Dusa McDuff
Awards	Putnam Fellow (1949, 1950) Sloan Fellowship (1955) Fields Medal (1962) National Medal of Science (1967) Leroy P. Steele Prize (1982, 2004, 2011) Wolf Prize (1989) Abel Prize (2011) Lomonosov Gold Medal (2020)
Scientific career
Fields	Mathematics
Institutions	Princeton University, Stony Brook University
Thesis	Isotopy of Links (1954)
Doctoral advisor	Ralph Fox
Doctoral students	Tadatoshi Akiba Jon Folkman John Mather Laurent C. Siebenmann Michael Spivak

John Willard Milnor (born February 20, 1931) is an American mathematician known for his work in differential topology, algebraic K-theory and low-dimensional holomorphic dynamical systems. Milnor is a distinguished professor at Stony Brook University and the only mathematician to have won the Fields Medal, the Wolf Prize, the Abel Prize and all three Steele prizes.