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.
with Leo Zippin: 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.
with Leo Zippin: Montgomery, Deane; Zippin, Leo (1951). "Two-dimensional subgroups". Proc. Amer. Math. Soc. 2 (5): 822–838. doi:10.1090/s0002-9939-1951-0047669-0. MR 0047669.
with Leo Zippin: Montgomery, D.; Zippin, L. (1952). "Small subgroups of finite-dimensional groups". Proc Natl Acad Sci U S A. 38 (5): 440–442. Bibcode:1952PNAS...38..440M. doi:10.1073/pnas.38.5.440. PMC1063582. PMID 16589121.
Deane Montgomery and Leo Zippin, Topological Transformation Groups, Interscience Publishers, 1955.[5]
with Hans Samelson 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.
with C. T. Yang: Montgomery, D.; Yang, C. T. (1958). "Orbits of highest dimension". Trans. Amer. Math. Soc. 87 (2): 284–293. doi:10.1090/s0002-9947-1958-0100272-7. MR 0100272.
^"APS Member History". search.amphilsoc.org. Retrieved 2022-12-13.
^"Deane Montgomery". American Academy of Arts & Sciences. Retrieved 2022-12-13.
^Samelson, Hans (1957). "Review: Topological transformation groups, by D. Montgomery and L. Zippin". Bull. Amer. Math. Soc. 63 (1): 54–57. doi:10.1090/s0002-9904-1957-10075-5.
External linksedit
Wikiquote has quotations related to Deane Montgomery.
deane, montgomery, this, article, needs, additional, citations, verification, please, help, improve, this, article, adding, citations, reliable, sources, unsourced, material, challenged, removed, find, sources, news, newspapers, books, scholar, jstor, february. This article needs additional citations for verification Please help improve this article by adding citations to reliable sources Unsourced material may be challenged and removed Find sources Deane Montgomery news newspapers books scholar JSTOR February 2013 Learn how and when to remove this message 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 MontgomeryBornSeptember 2 1909Weaver Minnesota USDiedMarch 15 1992Known forcontributor to the final resolution of Hilbert s fifth problemAwardsGuggenheim FellowshipLeroy P Steele PrizeAcademic backgroundAlma materHamline UniversityUniversity of IowaDoctoral advisorEdward ChittendenAcademic workDisciplinemathematicsSub disciplinetopology 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 Publications editwith Leo Zippin 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 Montgomery Deane 1945 Measure preserving homeomorphisms at fixed points Bull Amer Math Soc 51 12 949 953 doi 10 1090 s0002 9904 1945 08477 8 MR 0013905 with Leo Zippin Montgomery Deane Zippin Leo 1951 Two dimensional subgroups Proc Amer Math Soc 2 5 822 838 doi 10 1090 s0002 9939 1951 0047669 0 MR 0047669 with Leo Zippin Montgomery D Zippin L 1952 Small subgroups of finite dimensional groups 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 Deane Montgomery and Leo Zippin Topological Transformation Groups Interscience Publishers 1955 5 with Hans Samelson 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 with C T Yang Montgomery D Yang C T 1958 Orbits of highest dimension Trans Amer Math Soc 87 2 284 293 doi 10 1090 s0002 9947 1958 0100272 7 MR 0100272 References edit Montgomery biography History mcs st and ac uk Retrieved 2011 03 15 Deane Montgomery www nasonline org Retrieved 2022 12 13 APS Member History search amphilsoc org Retrieved 2022 12 13 Deane Montgomery American Academy of Arts amp Sciences Retrieved 2022 12 13 Samelson Hans 1957 Review Topological transformation groups by D Montgomery and L Zippin Bull Amer Math Soc 63 1 54 57 doi 10 1090 s0002 9904 1957 10075 5 External links edit nbsp Wikiquote has quotations related to Deane Montgomery Deane Montgomery at the Mathematics Genealogy Project Interview with Montgomery about his experience at Princeton A biography of Montgomery A Tribute to Deane Montgomery by Ronald Fintushel nbsp nbsp nbsp This article about an American mathematician is a stub You can help Wikipedia by expanding it vte Retrieved from https en wikipedia org w index php title Deane Montgomery amp oldid 1217696886, wikipedia, wiki, book, books, library,
