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Deane Montgomery

Deane Montgomery (September 2, 1909 – March 15, 1992) was an American mathematician specializing in topology who was one of the contributors to the final resolution of Hilbert's fifth problem in the 1950s. He served as president of the American Mathematical Society from 1961 to 1962.

Deane Montgomery

September 2, 1909

Weaver, Minnesota, US

March 15, 1992

contributor to the final resolution of Hilbert's fifth problem

Edward Chittenden

mathematics

topology

Born in the small town of Weaver, Minnesota, he received his B.S. from Hamline University in St. Paul, MN and his Master's and Ph.D. from the University of Iowa in 1933; his dissertation advisor was Edward Chittenden.[1]


In 1941 Montgomery was awarded a Guggenheim Fellowship. In 1988, he was awarded the American Mathematical Society Leroy P. Steele Prize for Lifetime Achievement.


He was a member of the United States National Academy of Sciences,[2] the American Philosophical Society,[3] and of the American Academy of Arts and Sciences.[4]

with : Montgomery, Deane; Zippin, Leo (1942). "A theorem on Lie groups". Bull. Amer. Math. Soc. 48 (6): 448–452. doi:10.1090/s0002-9904-1942-07699-3. MR 0006545.

Leo Zippin

Montgomery, Deane (1945). . Bull. Amer. Math. Soc. 51 (12): 949–953. doi:10.1090/s0002-9904-1945-08477-8. MR 0013905.

"Measure preserving homeomorphisms at fixed points"

with Leo Zippin: Montgomery, Deane; Zippin, Leo (1951). . Proc. Amer. Math. Soc. 2 (5): 822–838. doi:10.1090/s0002-9939-1951-0047669-0. MR 0047669.

"Two-dimensional subgroups"

with Leo Zippin: Montgomery, D.; Zippin, L. (1952). . Proc Natl Acad Sci U S A. 38 (5): 440–442. Bibcode:1952PNAS...38..440M. doi:10.1073/pnas.38.5.440. PMC 1063582. PMID 16589121.

"Small subgroups of finite-dimensional groups"

Deane Montgomery and , Topological Transformation Groups, Interscience Publishers, 1955.[5]

Leo Zippin

with and C. T. Yang: "Groups on En with (n-2)-dimensional orbits". Proc. Amer. Math. Soc. 7 (4): 719–728. 1956. doi:10.1090/s0002-9939-1956-0078643-0. MR 0078643.

Hans Samelson

with C. T. Yang: Montgomery, D.; Yang, C. T. (1958). . Trans. Amer. Math. Soc. 87 (2): 284–293. doi:10.1090/s0002-9947-1958-0100272-7. MR 0100272.

"Orbits of highest dimension"

at the Mathematics Genealogy Project

Deane Montgomery

Interview with Montgomery about his experience at Princeton

A biography of Montgomery

by Ronald Fintushel

A Tribute to Deane Montgomery