Philip M. Whitman Explained

Philip Martin Whitman
Nationality:	American
Fields:	Lattice theory
Workplaces:	UPenn,^[1] Tufts^[2]
Education:	Haverford College
Alma Mater:	Harvard University
Thesis Title:	Free Lattices
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Thesis Year:	1941
Doctoral Advisor:	Garrett Birkhoff
Known For:	Free lattice word problem
Awards:	AMS Honorary Member
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Philip Martin Whitman is an American mathematician who contributed to lattice theory, particularly the theory of free lattices.

Living in Pittsburgh,^[3] he attended the Haverford College, where he earned a corporation scholarship for 1936–37,^[4] and a Clementine Cope fellowship for 1937–38,^[5] and was awarded highest honors in mathematical astronomy in 1937.^[6] He was elected to the college's chapter of the Phi Beta Kappa Society.^[7] In June 1937, he was conferred the Bachelor of science degree from Haverford.^[8] According to Garrett Birkhoff, Whitman was an undergraduate Harvard student in 1937,^[9] and an outstanding graduate student not later than 1940, one of the first who taught elementary courses to freshmen in the mathematics department.^[10] In 1938 he earned his AM,^[11] and in June 1941 he obtained his Ph.D. degree from Harvard University.^[12] He was a member of the AMS not later than 1947,^[13] and was awarded an AMS honorary membership not later than 1995.^[14]

Selected publications

• Whitman, Philip Martin . Schrödinger Wave Mechanics of the Hydrogen Atom . Harvard University . Harvard students' essays . Manuscript minor thesis in mathematics . Jun 1940 .
• Ph.D. thesis . Whitman, Philip Martin . Free lattices . Harvard University . 1941 .
• Philip Whitman . Free Lattices . . 42 . 325–329 . 1941 . 1 . 10.2307/1969001. 1969001 .
• Philip Whitman . Free Lattices II . Annals of Mathematics . 43 . 104–115 . 1942 . 1 . 10.2307/1968883. 1968883 .
• Phillip M. Whitman . Splittings of a lattice . . 65 . 179–196 . 1943 . 1 . 10.2307/2371781. 2371781 .
• Philip Whitman . Lattices, equivalence relations, and subgroups . . 52 . 6 . 507–522 . 1946 . 10.1090/s0002-9904-1946-08602-4. free .
• Philip M. Whitman . Groups with a cyclic group as lattice-homomorph . Annals of Mathematics . 49 . 2 . 347–351 . Apr 1948 . 10.2307/1969283. 1969283 .
• Garrett Birkhoff . Philip M. Whitman . Representation of Jordan and Lie Algebras . . 65 . 116–136 . 1949 . 1 . 10.2307/1990517. 1990517 . free .
• Book: Philip M. Whitman . Status of word problems for lattices . 17–21 . R. P. Dilworth . Lattice Theory . Providence/RI . American Mathematical Society . Proceedings of Symposia in Pure Mathematics . 2 . 978-0-8218-1402-4 . 1961.

References

• Book: Peter Duren . Richard A. Askey . Uta C. Merzbach . Uta Merzbach . A Century of Mathematics in America - Part II . Providence, RI . . History of Mathematics . 2 . 0-8218-0130-9 . 1988 . Garrett Birkhoff . Garrett Birkhoff. Mathematics at Harvard, 1836–1944 . 3–58 .
• Haverford College Bulletin, Vol. 35–36, 1936–1938

Notes and References

1. Whitman (1946), p. 522
2. Birkhoff, Whitman (1949), p. 136
3. Haverford Bulletin p. 12 (= vol.35, p. (6))
4. Haverford Bulletin p. 125 (= vol 35., p. 99)
5. Haverford Bulletin p. 429 (= vol.36, p. 101)
6. Haverford Bulletin p. 433
7. Haverford Bulletin, p. 128, 432
8. Haverford Bulletin p. 428 (= vol.36, p. 100)
9. Birkhoff (1988), p. 50
10. Birkhoff (1988), p. 24
11. http://id.lib.harvard.edu/aleph/010166856/catalog Record
12. Haverford News, Vol.33, No.5, Tue 28 Oct 1941, p. 8 (7)
13. https://www.ams.org/bull/1947-53-07/S0002-9904-1947-08833-9/S0002-9904-1947-08833-9.pdf Bulletin of the AMS, Jul 1947
14. https://www.ams.org/notices/199512/from.pdf Notices of the AMS Vol.42, No.12