Michael Peter Drazin (born 5 June 1929) is a British and American mathematician, working in noncommutative algebra.
Michael Drazin | |
---|---|
Born | London, England | 5 June 1929
Alma mater | University of Cambridge |
Known for | Drazin inverse |
Awards | Smith's Prize (1952) |
Scientific career | |
Institutions | Purdue University |
Thesis | Contributions to Abstract Algebra (1953) |
Doctoral advisor | Robert Rankin and David Rees |
Background
editThe Drazins (Дразин) were a Russian Jewish family who moved to the United Kingdom in the years before World War I. Isaac Drazin founded in 1927 a well-known electrical goods shop in Heath Street, Hampstead, which existed for over 50 years.[1]
Isaac Drazin married Leah Wexler, and had three sons, of whom Michael was the eldest, and Philip Drazin, also a mathematician, was the youngest, the middle son being David; and died 1 January 1993.[2][3]
Life
editMichael Drazin was born in London on 5 June 1929.[4] His younger brother Philip was educated as a boarder at St Christopher School, Letchworth during World War II.[5] The self-published memoirs of Roger Atkinson, a school friend of Michael (Mike), indicate that Drazin attended King Alfred School, London, located in Hampstead, retaining contacts at the school when it was evacuated in wartime to Royston, Hertfordshire; Atkinson was a boarder at St Christopher School, Letchworth from September 1942. In 1946 Atkinson and Drazin visited Paris together.[6]
Drazin was a student at the University of Cambridge, graduating B.A. in 1950 and M.A. in 1953.[4] He was awarded a Ph.D. in 1953 for a dissertation Contributions to Abstract Algebra written with advisers Robert Rankin and David Rees.[7] He was a Fellow of Trinity College, Cambridge from 1952 to 1956, during that period relocating to the United States.[8]
In the academic year 1957–8 Drazin was Visiting Lecturer at Northwestern University.[9] In 1958 he began a period at RIAS Inc. (the Research Institute for Advanced Studies) in Baltimore as senior scientist, after which he took a position as associate professor at Purdue University in 1962.[8][10][11]
Works
editDrazin gave his name to a type of generalized inverse in ring theory and semigroup theory he introduced in 1958, now known as the Drazin inverse. It was later extended to contexts in operator theory.[12]
While at RIAS, Drazin worked with Emilie Virginia Haynsworth, then at the National Bureau of Standards, within its numerical analysis program.[13] He also worked with the metallurgist Henry Martin Otte of RIAS, and they published a book of crystallographic tables.[14][15]
See also
editReferences
edit- ^ Drazin, Charles (25 August 2016). Mapping the Past: A Search for Five Brothers at the Edge of Empire. Random House. pp. 8–9. ISBN 978-1-4735-3842-9.
- ^ Searches on the Free BDM site
- ^ The Times. No. 64534. 6 January 1993. p. 16.
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(help) - ^ a b Press, Jaques Cattell (1982). American Men and Women of Science. Bowker. p. 712. ISBN 978-0-8352-1413-1.
- ^ Budd, Chris; Peregrine, Howell (1 March 2003). "Philip Gerald Drazin". Physics Today. 56 (3): 100–102. Bibcode:2003PhT....56c.100B. doi:10.1063/1.1570792. ISSN 0031-9228.
- ^ Atkinson, Roger; Atkinson, Catherine (2015). Blackout, Austerity and Pride: Life in the 1940s. Roger Atkinson Publishing. ISBN 978-0-9933007-0-7.
- ^ "Michael Drazin - The Mathematics Genealogy Project". www.genealogy.math.ndsu.nodak.edu.
- ^ a b Kurz, Heinz; Salvadori, Neri (12 July 2007). Interpreting Classical Economics: Studies in Long-Period Analysis. Routledge. p. 283 note 26. ISBN 978-1-134-08781-5.
- ^ "News and Notices". The American Mathematical Monthly. 65 (1): 60. 1958. ISSN 0002-9890. JSTOR 2310326.
- ^ "Personal Items" (PDF). Notices of the American Mathematical Society. 5 (32): 432. August 1958.
- ^ "Personal Items" (PDF). Notices of the American Mathematical Society. 9 (63): 376. October 1962.
- ^ Xue, Yifeng (16 March 2012). Stable Perturbations Of Operators And Related Topics. World Scientific. p. 133. ISBN 978-981-4452-80-9.
- ^ United States National Bureau of Standards (1960). National Bureau of Standards Report. The Bureau. p. 3.
- ^ Otte, Henry M. (1 August 1961). "Lattice Parameter Determinations with an X-Ray Spectrogoniometer by the Debye-Scherrer Method and the Effect of Specimen Condition". Journal of Applied Physics. 32 (8): 1536–1546. Bibcode:1961JAP....32.1536O. doi:10.1063/1.1728392.
- ^ Drazin, M. P.; Otte, Henry Martin (1964). Tables for Determining Cubic Crystal Orientations from Surface Traces of Octahedral Planes. P. M. Harrod Company.