# Philip M. Whitman

Philip Martin Whitman | |
---|---|

Nationality | United States |

Fields | Lattice theory |

Institutions |
UPenn,^{[1]} Tufts^{[2]} |

Education | Haverford College |

Alma mater | Harvard University |

Thesis |
Free Lattices (1941) |

Doctoral advisor | Garrett Birkhoff |

Known for | Free lattice word problem |

Notable awards | AMS Honorary Member |

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

## References

- Garrett Birkhoff (1988). "Mathematics at Harvard, 1836–1944". In Peter Duren; Richard A. Askey; Uta C. Merzbach.
*A Century of Mathematics in America — Part II*(PDF). History of Mathematics.**2**. Providence, RI: American Mathematical Society. pp. 3–58. ISBN 0-8218-0130-9. - Haverford College Bulletin, Vol. 35–36, 1936–1938

- ↑ Whitman (1946), p. 522
- ↑ Birkhoff, Whitman (1949), p. 136
- ↑ Haverford Bulletin p. 12 (= vol.35, p. (6))
- ↑ Haverford Bulletin p. 125 (= vol 35., p. 99)
- ↑ Haverford Bulletin p. 429 (= vol.36, p. 101)
- ↑ Haverford Bulletin p. 433
- ↑ Haverford Bulletin, p. 128, 432
- ↑ Haverford Bulletin p. 428 (= vol.36, p. 100)
- ↑ Birkhoff (1988), p. 50
- ↑ Birkhoff (1988), p. 24
- ↑ Record at Harvard library
- ↑ Haverford News, Vol.33, No.5, Tue 28 Oct 1941, p. 8 (7)
- ↑ Bulletin of the AMS, Jul 1947, p. 715
- ↑ Notices of the AMS Vol.42, No.12, Dec.1995, p. 1555