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**Oliver Dimon Kellogg** (10 July 1878 – 27 August 1932) was an American mathematician.^{[1]}

Oliver Dimon Kellogg | |
---|---|

Born | |

Died | August 27, 1932 | (aged 54)

Nationality | American |

Alma mater | Georg-August-Universität Göttingen |

Known for | Birkhoff–Kellogg invariant-direction theorem |

Scientific career | |

Fields | Mathematics |

Institutions | Harvard University |

Doctoral advisor | David Hilbert |

Doctoral students | Arthur Herbert Copeland |

His father, Day Otis Kellogg, was a professor of literature at the University of Kansas and editor of the American edition of the *Encyclopædia Britannica*. In 1895 Oliver Kellogg began his undergraduate study at Princeton University, where he earned his master's degree in 1900. With a John S. Kennedy stipend he first studied at the Humboldt University of Berlin and then in 1901/1902 at Georg-August-Universität Göttingen. At Göttingen in 1902 he earned his PhD with a thesis *Zur Theorie der Integralgleichungen und des Dirichlet'schen Prinzips* under the direction of David Hilbert. After completing his thesis, Kellogg became an instructor at Princeton and from 1905 at the University of Missouri, where he became a professor in 1910. In World War I he was a scientific advisor at the Coast Guard Academy in New London, Connecticut, where he worked on submarine detection. Kellogg became a lecturer at Harvard University in 1919, an associate professor in 1920, and a professor in 1927. He died of a heart attack while climbing Doubletop Mountain near Greenville, Maine.^{[2]}^{[3]} Kellogg was married and had a daughter.

Kellogg is known for his work on potential theory, which was the subject of his dissertation and also his famous 1929 textbook *Foundations of Potential Theory*.^{[4]} In 1922 with George David Birkhoff he generalized the Brouwer fixed point theorem to the theorem of Birkhoff–Kellogg.

Among his doctoral students was Arthur Copeland.

- with Earle Raymond Hedrick,
*Applications of the calculus to mechanics*(Boston: Ginn, 1909) *Foundations of Potential Theory.*Grundlehren der Mathematischen Wissenschaften, Springer-Verlag 1967.

**^**Birkhoff, G. D. (1933). "The mathematical work of Oliver Dimon Kellogg".*Bull. Amer. Math. Soc*.**39**(3): 171–177. doi:10.1090/s0002-9904-1933-05560-x. MR 1562574.**^**"PROF. KELLOGG DIES CLIMBING MOUNTAIN; Overexertion by Head of Harvard Department of Mathematics Causes Heart Attack".*The New York Times*. August 28, 1932.**^**"FIND BODY OF HARVARD PROFESSOR IN MONSON".*Lewiston Sun Journal*. August 29, 1932. (After visiting with friends, Prof. Kellogg went alone on a hike to the summit of Doubletop Mountain on Friday, Aug. 26, 1932. When he failed to return, his friends notified mountain guides who, on Aug. 27, found his body on a mountainside trail.)**^**G. C. Evans (1931). "Kellogg on Potential".*Bull. Amer. Math. Soc*.**37**(3): 141–144. doi:10.1090/s0002-9904-1931-05098-9.

- Literature by and about Oliver Dimon Kellogg in the German National Library catalogue
- O'Connor, John J.; Robertson, Edmund F., "Oliver Dimon Kellogg",
*MacTutor History of Mathematics Archive*, University of St Andrews - Oliver Dimon Kellogg at the Mathematics Genealogy Project