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# Arthur Rubin

Arthur Rubin | |
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Rubin at the Aquarium of the Pacific in August 2006 | |

Born | 1956 (age 62–63) |

Alma mater | Caltech |

**Arthur Leonard Rubin** (born 1956)^{[citation needed]} is an American mathematician and aerospace engineer. He was named a Putnam Fellow on four consecutive occasions from 1970 to 1973.

## Life and career[edit | edit source]

Rubin's mother was Jean E. Rubin, a professor of mathematics at Purdue University, and his father was Herman Rubin, a professor of statistics at the same university.^{[1]} Arthur co-authored his first paper with his mother in 1969 at the age of 13.^{[2]} He earned his Ph.D. at the California Institute of Technology in 1978, under the direction of Alexander S. Kechris.^{[3]}

Rubin unsuccessfully stood as a Libertarian to represent the 55th district in the 1984 California State Assembly elections.^{[4]}

## Awards and honors[edit | edit source]

As an undergraduate, Rubin was named a Putnam Fellow on four occasions, the first time in 1970, aged 14, making him the youngest Fellow to date.^{[5]}^{[6]}^{[7]} In 1972, he tied for third place in the first USA Mathematical Olympiad.^{[8]}

In 1974, Rubin was the subject of an article in the *Madison Capital Times*, in which his Caltech undergraduate advisor was quoted as saying that someone of Rubin's ability appeared in the United States "about once in every ten years".^{[9]}

## Publications[edit | edit source]

Rubin's dissertation was entitled *Free Algebras in Von Neumann–Bernays–Gödel Set Theory and Positive Elementary Inductions in Reasonable Structures*.^{[3]}^{[10]} In 1979, Rubin co-authored a paper on list coloring of graphs with Paul Erdős, giving him an Erdős number of 1.^{[11]}

- Rubin, A. L. & Rubin, J. E. (1969). "Extended operations and relations on the class of ordinal numbers".
*Fundamenta Mathematicae*.**65**(2): 227–242. - Howard, P. E.; Rubin, A. L. & Rubin, J. E. (1979). "Kinna–Wagner Selection Principles, Axioms of Choice and Multiple Choice".
*Monatshefte fur Mathematik*.**123**(4): 309–319. doi:10.1007/BF01326766. - Posner, E. C. & Rubin, A.L. (1984). "Capacity of digital links in tandem".
*IEEE Transactions on Information Theory*. IT-30 (3): 464–470. doi:10.1109/TIT.1984.1056917. - Truong, T. K.; Reed, I. S.; Lipes, R. G.; Rubin, A. L. & Butman, S. A. (1984). "Digital SAR processing using a fast polynomial transform".
*IEEE Transactions on Acoustics, Speech, and Signal Processing*. ASSP-32 (2): 419–425. doi:10.1109/TASSP.1984.1164307.

## References[edit | edit source]

- ↑ McClure, Dinah L., ed. (2002). "Obituary: J.E.H. Rubin" (PDF).
*Sequel*(38): 2. Archived from the original (PDF) on 2006-09-02. Retrieved 2006-04-25. - ↑ Rubin, A. L. & Rubin, J. E. (1969). "Extended operations and relations on the class of ordinal numbers".
*Fundamenta Mathematicae*.**65**(2): 227–242. (Please note that the default language of the webpage is Polish, but it could be changed to English by changing the language option on the upper right) - ↑
^{3.0}^{3.1}Arthur Rubin at the Mathematics Genealogy Project - ↑ Ward, Mike (June 3, 1984). "Most Senators, Assemblymen Unchallenged". Los Angeles Times. (Subscription required (help)). Cite uses deprecated parameter
`|subscription=`

(help) Alternate Link via ProQuest. - ↑ Alexanderson, Gerald L.; Klosinski, Leonard F.; Larson, Loren C., eds. (1985).
*The William Lowell Putnam Mathematical Competition Problems and Solutions 1965–1984*. Mathematical Association of America. pp. 141–142. ISBN 0-88385-463-5. OCLC 55235548. - ↑ "The Mathematical Association of America's William Lowell Putnam Competition".
*Mathematical Association of America*. Archived from the original on 21 April 2006. Retrieved 2006-04-25.Individual Putnam Fellows: Arthur L. Rubin, California Institute of Technology

- ↑ Gallian, Joseph. "The Putnam Competition from 1938-2009" (PDF). Archived from the original (PDF) on 2009-10-13. Retrieved 2015-09-22.
- ↑ Greitzer, S (March 1973). "The First U.S.A Mathematical Olympiad".
*American Mathematical Monthly*. Mathematical Association of America.**80**(3): 276–281. doi:10.2307/2318449. JSTOR 2318449. - ↑ Stingley, Jim (May 13, 1974). "Caltech Math Whiz".
*Los Angeles Times*. pp. D1–D2. (Subscription required (help)). Cite uses deprecated parameter`|subscription=`

(help) Alternate Link via ProQuest. Reprinted and slightly altered in Madison Capital Times on July 6 1974 - ↑ Rubin, Arthur Leonard (1978).
*Free Algebras in Von Neumann–Bernays–Gödel Set Theory and Positive Elementary Inductions in Reasonable Structures*(Ph.D.). California Institute of Technology. OCLC 436995833. (Note: access might be depended on type of library institutional subscription available) - ↑ Erdős, Paul; Rubin, Arthur L. & Taylor, Herbert (1980). "Choosability in graphs" (PDF).
*Proc. West Coast Conf. on Combinatorics, Graph Theory and Computing (Humboldt State Univ., Arcata, Calif., 1979)*. Congressus Numerantium.**XXVI**. pp. 125–157. MR 0593902.

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