Contents
John Milnor
Discovering exotic spheres and transforming the study of higher-dimensional shapes.
Exotic spheres · Morse Theory
- Born
- 20 February 1931
- Birthplace
- Orange, United States
More people
John Milnor
John Milnor is an American mathematician. His research reshaped topology and extended into algebra and dynamical systems, earning both the Fields Medal and Abel Prize.
Early life
New Jersey upbringing
Was born in Orange, New Jersey, in 1931.
Princeton education
Studied mathematics at Princeton and completed his doctorate under Ralph Fox in 1954.
Career
- 1950s
Early topology
Worked at Princeton and discovered exotic seven-dimensional spheres in 1956.
- 1970–1990
Institute for Advanced Study
Continued research across topology and algebra at the Princeton institute.
- 1990s onward
Stony Brook
Developed further work in dynamics and mathematical exposition at Stony Brook.
Selected work
Exotic spheres
Showed that the same underlying seven-dimensional sphere can support different smooth structures.
Morse Theory
Published an influential account of how functions reveal a space’s shape.
Characteristic Classes
Co-wrote a foundational text with James Stasheff.
Beyond work
Mathematical writing
His books are recognised for clear explanations of difficult ideas.
Research partnership
Married mathematician Dusa McDuff, a specialist in symplectic topology.
Sources & photo credit
Life, career and references ↗Institutional source ↗Photo: George Bergman. CC BY-SA 4.0 · Original image. Cropped and displayed in monochrome.
