John Milnor

E52357

American mathematician human mathematician

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.

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All labels observed (2)

Label	Occurrences
John Milnor canonical	27
John W. Milnor	1

Statements (53)

Predicate	Object
instanceOf	American mathematician ⓘ human ⓘ mathematician ⓘ
almaMater	Princeton University ⓘ
awardReceived	Abel Prize ⓘ Fields Medal ⓘ Leroy P. Steele Prize ⓘ surface form: Leroy P. Steele Prize for Mathematical Exposition Leroy P. Steele Prize ⓘ surface form: Leroy P. Steele Prize for Seminal Contribution to Research National Medal of Science ⓘ Leroy P. Steele Prize ⓘ surface form: Steele Prize for Lifetime Achievement Wolf Prize in Mathematics ⓘ
birthDate	1931-02-20 ⓘ
birthPlace	Orange, New Jersey ⓘ surface form: 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 self-link ⓘ
notableWork	Milnor K-theory ⓘ Milnor K-theory ⓘ surface form: 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 ⓘ

Referenced by (28)

Full triples — surface form annotated when it differs from this entity's canonical label.

Wolf Prize in Mathematics → hasLaureate → John Milnor ⓘ

Princeton University Department of Mathematics → hasNotableFaculty → John Milnor ⓘ

Princeton University Department of Mathematics → hasNotableAlumnus → John Milnor ⓘ

Sylvester Medal → hasNotableRecipient → John Milnor ⓘ

John Milnor → name → John Milnor self-link ⓘ

Hassler Whitney → notableStudent → John Milnor ⓘ

Annals of Mathematics Studies → hasNotableAuthor → John Milnor ⓘ

Stephen Smale → influencedBy → John Milnor ⓘ

K-theory → developedBy → John Milnor ⓘ

Milnor → usedBy → John Milnor ⓘ

Milnor → hasNotableBearer → John Milnor ⓘ

Milnor fibration → namedAfter → John Milnor ⓘ

Milnor fibration → introducedBy → John Milnor ⓘ

Milnor number → namedAfter → John Milnor ⓘ

Milnor number → introducedBy → John Milnor ⓘ

Milnor K-theory → namedAfter → John Milnor ⓘ

Milnor K-theory → introducedBy → John Milnor ⓘ

Milnor–Thurston kneading theory → namedAfter → John Milnor ⓘ

Milnor–Thurston kneading theory → developedBy → John Milnor ⓘ

Milnor–Wood inequality → namedAfter → John Milnor ⓘ

Topology from the Differentiable Viewpoint → author → John Milnor ⓘ

this entity surface form: John W. Milnor

Characteristic Classes → hasAuthor → John Milnor ⓘ

Dynamics in One Complex Variable → author → John Milnor ⓘ

Introduction to Algebraic K-Theory → author → John Milnor ⓘ

Introduction to Algebraic K-Theory → hasAuthor → John Milnor ⓘ

Ralph Fox → notableStudent → John Milnor ⓘ

Hassler → notableStudent → John Milnor ⓘ

subject surface form: Hassler Whitney

National Academy of Sciences Award in Mathematics → notableRecipient → John Milnor ⓘ