John Willard Milnor | |
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Born | |
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 |
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.