John Milnor

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John Milnor is an American mathematician renowned for his groundbreaking work in differential topology, K-theory, and dynamical systems, and is one of the most influential figures in modern mathematics.


Statements (53)
Predicate Object
instanceOf American mathematician
human
mathematician
almaMater Princeton University
awardReceived Abel Prize
Fields Medal
Leroy P. Steele Prize for Mathematical Exposition
Leroy P. Steele Prize for Seminal Contribution to Research
National Medal of Science
Steele Prize for Lifetime Achievement
Wolf Prize in Mathematics
birthDate 1931-02-20
birthPlace Orange, New Jersey, United States
countryOfCitizenship United States of America
doctoralAdvisor Ralph Fox
educatedAt Princeton University
employer Institute for Advanced Study
Princeton University
Stony Brook University
familyName Milnor
fieldOfWork K-theory
algebraic K-theory
differential topology
dynamical systems
geometric topology
knot theory
mathematics
singularity theory
topology
givenName John
hasWritten Characteristic Classes
Dynamics in One Complex Variable
Introduction to Algebraic K-Theory
Morse Theory
Singular Points of Complex Hypersurfaces
Topology from the Differentiable Viewpoint
influenced modern differential topology
modern dynamical systems theory
memberOf American Academy of Arts and Sciences
American Mathematical Society
National Academy of Sciences
name John Milnor
notableWork Milnor K-theory
Milnor conjecture in algebraic K-theory
Milnor fibration
Milnor number
Milnor–Thurston kneading theory
Milnor–Wood inequality
Milnor’s work on hyperbolic geometry and 3-manifolds
discovery of exotic 7-spheres
h-cobordism theorem
positionHeld Director of the Institute for Mathematical Sciences at Stony Brook University
Professor at Stony Brook University


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