19 Facts About John Milnor

1.

John Willard Milnor was born on February 20,1931 and is an American mathematician known for his work in differential topology, algebraic K-theory and low-dimensional holomorphic dynamical systems.

2.

John Milnor was born on February 20,1931, in Orange, New Jersey.

3.

John Milnor's father was J Willard Milnor an engineer and his mother was Emily Cox Milnor.

4.

John Milnor remained at Princeton to pursue graduate studies and received his Ph.

5.

John Milnor was a professor at the Institute for Advanced Study from 1970 to 1990.

6.

John Milnor was an editor of the Annals of Mathematics for a number of years after 1962.

7.

John Milnor has written a number of books which are famous for their clarity, presentation, and an inspiration for the research by many mathematicians in their areas even after many decades since their publication.

8.

John Milnor's students have included Tadatoshi Akiba, Jon Folkman, John Mather, Laurent C Siebenmann, Michael Spivak, and Jonathan Sondow.

9.

John Milnor's wife, Dusa McDuff, is a professor of mathematics at Barnard College and is known for her work in symplectic topology.

10.

John Milnor coined the term exotic sphere, referring to any n-sphere with nonstandard differential structure.

11.

Kervaire and John Milnor initiated the systematic study of exotic spheres, showing in particular that the 7-sphere has 15 distinct differentiable structures.

12.

In 1961 John Milnor disproved the Hauptvermutung by illustrating two simplicial complexes that are homeomorphic but combinatorially distinct, using the concept of Reidemeister torsion.

13.

John Milnor cast his eye on dynamical systems theory in the mid-1970s.

14.

John Milnor's approach was to start over from the very beginning, looking at the simplest nontrivial families of maps.

15.

John Milnor's work has opened several new directions in this field, and has given us many basic concepts, challenging problems and nice theorems.

16.

John Milnor was elected as a member of the American Academy of Arts and Sciences in 1961.

17.

In 1962 John Milnor was awarded the Fields Medal for his work in differential topology.

18.

John Milnor was elected to the United States National Academy of Sciences in 1963 and the American Philosophical Society 1965.

19.

John Milnor later went on to win the National Medal of Science, the Lester R Ford Award in 1970 and again in 1984, the Leroy P Steele Prize for "Seminal Contribution to Research", the Wolf Prize in Mathematics, the Leroy P Steele Prize for Mathematical Exposition, and the Leroy P Steele Prize for Lifetime Achievement.