Leonard Carlitz
From Wikipedia, the free encyclopedia
| Leonard Carlitz | |
|---|---|
| Born | December 26, 1907 Philadelphia, Pennsylvania |
| Died | September 17, 1999 (aged 91) Pittsburgh, Pennsylvania |
| Residence | |
| Nationality | |
| Fields | Mathematics |
| Institutions | Duke University |
| Alma mater | University of Pennsylvania |
| Doctoral advisor | Howard Mitchell |
| Doctoral students | Waleed Al-Salam David Roselle (among 44) |
| Known for | Combinatorics Number theory Polynomial rings prolific publication |
Leonard Carlitz (December 26, 1907 – September 17, 1999) was an American mathematician. Carlitz supervised 44 doctorates at Duke University and published over 770 papers.
Chronology[edit]
- 1907 Born Philadelphia, PA, USA
- 1927 BA, University of Pennsylvania
- 1930 PhD, University of Pennsylvania, 1930 under Howard Mitchell, who had studied under Oswald Veblen at Princeton
- 1930–31 at Caltech with E. T. Bell
- 1931 married Clara Skaler
- 1931–32 at Cambridge with G. H. Hardy
- 1932 Joined the faculty of Duke University where he served for 45 years
- 1938 to 1973 Editorial Board Duke Mathematics Journal (Managing Editor from 1945.)
- 1939 Birth of son Michael
- 1940 Supervision of his first doctoral student E. F. Canaday, awarded 1940
- 1945 Birth of son Robert
- 1964 First James B. Duke Professor in Mathematics
- 1977 Supervised his 44th and last doctoral student, Jo Ann Lutz, awarded 1977
- 1977 Retired
- 1990 Death of wife Clara, after 59 years of marriage
- 1999 September 17 Died in Pittsburgh, PA
Mathematical work[edit]
- The Carlitz module is generalized by the Drinfeld module
- An identity regarding Bernoulli numbers
- Carlitz wrote about Bessel polynomials
- He introduced Al-Salam–Carlitz polynomials.
- Carlitz' identity for bicentric quadrilaterals
Publication[edit]
Leonard Carlitz published about 771 technical papers comprising approximately 7,000 pages. The effort to edit his collected works, undertaken originally by Professor John Brillhart, is ongoing.[1][2]
References[edit]
^ Joel V. Brawley, John Brillhart and Henry W. Gould, "Recollections of Leonard Carlitz", Acta Arithmetica, Vol. 152(2012), No. 4, 361–372. ^ Joel V. Brawley, John Brillhart, and Henry W. Gould (editors), "The publications of Leonard Carlitz", Acta Arithmetica. Vol. 152(2012), No. 4, 373–405. Annotated Catalogue of Carlitz's 773 publications.
- ^ Joel V. Brawley, Brillhart and Henry E. Gould, "Recollections of Leonard Carlitz", Acta Arithmetica, Vol. 152(2012), No. 4, 361–372.
- ^ Joel V. Brawley, John Brillhart, and Henry W. Gould (editors), "The publications of Leonard Carlitz", Acta Arithmetica. Vol. 152(2012), No. 4, 373–405. Annotated Catalogue of Carlitz's 773 publications.
- Brawley, Joel V. (2000), "In memoriam: Leonard Carlitz (1907–1999)", Finite Fields and Their Applications, 6 (3): 203–206, doi:10.1006/ffta.2000.0276, ISSN 1071-5797, MR 1772617
- Brawley, Joel V. (1995), "Dedicated to Leonard Carlitz: the man and his work", Finite Fields and Their Applications, 1 (2): 135–151, doi:10.1006/ffta.1995.1011, ISSN 1071-5797, MR 1337739
- Hayes, David R. (2001), "Leonard Carlitz (1907–1999)" (PDF), Notices of the American Mathematical Society, 48 (11): 1322–1324, ISSN 0002-9920, MR 1870635
- Howard, F. T. (2000), "In memoriam—Leonard Carlitz", Fibonacci Quarterly, 38 (4): 316, ISSN 0015-0517, MR 1775253