Deane Montgomery
Deane Montgomery (born September 2, 1909 in Weaver , Minnesota , † March 15, 1992 in Chapel Hill (North Carolina) ) was an American mathematician who dealt with topology, especially topological groups and transformation groups.
Life
Montgomery received his doctorate in 1933 under Edward Chittenden at the University of Iowa . From 1935 to 1946 he was at Smith College in Northampton (Massachusetts) and from 1948 until his retirement in 1980 he was professor at the Institute for Advanced Study , where he was already in 1934/35, 1941/42 and 1945/46.
Montgomery became known for his solution to Hilbert's 5th problem in 1952 with Leo Zippin ("Small subgroups of finite dimensional groups". Annals of Mathematics , Vol. 56, 1952, p. 213), the question of whether every locally Euclidean topological group has a Lie group is (i.e. with a differentiable group effect). From the late 1960s he studied with C. T. Yang the group effects on homotopic 7-spheres (with different differential structures).
1974 to 1978 he was President of the International Mathematical Union . In 1962 he was President of the American Mathematical Society (AMS). He was a member of the National Academy of Sciences (1955), the American Academy of Arts and Sciences (1958) and the American Philosophical Society (1958). Montgomery was a Guggenheim Fellow in 1941 and received the AMS Leroy P. Steele Prize for Lifetime Achievement in 1988 . He received honorary degrees from Hamline University, Yeshiva University, and the University of Illinois . In 1967 he became a Doctor of Law from Tulane University .
Fonts
- with Leo Zippin: Topological Transformation Groups . Interscience, 1955.
- with CT Yang: Free Differentiable Actions on homotopy spheres . In: Proceedings Conference on Transformation Groups , New Orleans 1967, p. 175, Springer-Verlag 1968.
- with CT Yang: Differentiable pseudo-free circle actions on homotopic 7-spheres . In: Proceedings Conference on Transformation Groups , University of Massachusetts, 1971, Springer-Verlag.
literature
- Benjamin H. Yandell: The honors class. Hilbert's problems and their solvers. AK Peters, Natick MA 2001
Web links
- John J. O'Connor, Edmund F. Robertson : Deane Montgomery. In: MacTutor History of Mathematics archive .
- Biography at the AMS
- Ron Fintushel : A Tribute to Deane Montgomery. (PDF) Notices AMS, 2005
Remarks
- ↑ independently of them also Andrew Gleason
| personal data | |
|---|---|
| SURNAME | Montgomery, Deane |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | September 2, 1909 |
| PLACE OF BIRTH | Weaver (Minnesota) |
| DATE OF DEATH | March 15, 1992 |
| Place of death | Chapel Hill, North Carolina |