Arthur Rubin Explained

Arthur Rubin
Fields:	Mathematics Aerospace engineering
Alma Mater:	Caltech
Thesis Title:	Free Algebras in Von Neumann–Bernays–Gödel Set Theory and Positive Elementary Inductions in Reasonable Structures
Thesis Url:	http://search.proquest.com/docview/302912786/abstract
Thesis Year:	1978
Doctoral Advisor:	Alexander S. Kechris

Arthur Leonard Rubin (born 1956)^[1] is an American mathematician and aerospace engineer. He was named a Putnam Fellow on four consecutive occasions from 1970 to 1973.

Life and career

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.^[2] Arthur co-authored his first paper with his mother in 1969 at the age of 13.^[3] He earned his Ph.D. at the California Institute of Technology in 1978, under the direction of Alexander S. Kechris.

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

Awards and honors

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

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

• A. L. . Rubin . J. E. . Rubin . amp . 1969 . Extended operations and relations on the class of ordinal numbers . . 65 . 2 . 227–242 . 10.4064/fm-65-2-227-242 . free .
• P. E. . Howard . A. L. . Rubin . J. E. . Rubin . amp . 1979 . Kinna–Wagner Selection Principles, Axioms of Choice and Multiple Choice . Monatshefte für Mathematik . 123 . 4 . 309–319 . 10.1007/BF01326766. 18138945 .
• E. C. . Posner . A.L. . Rubin . amp . 1984 . Capacity of digital links in tandem . . IT-30 . 3 . 464–470 . 10.1109/TIT.1984.1056917. 1984ITIT...30..464P .
• T. K. . Truong . Irving S. Reed . I. S. . Reed . R. G. . Lipes . A. L. . Rubin . S. A. . Butman . amp . 1984 . Digital SAR processing using a fast polynomial transform . . ASSP-32 . 2 . 419–425 . 10.1109/TASSP.1984.1164307 .

Notes and References

1. .
2. Dinah L. . McClure . . Obituary: J.E.H. Rubin . 2002 . Sequel . 38 . 2 . 2006-04-25 . https://web.archive.org/web/20060902184206/http://www.science.purdue.edu/Sequel/sequel%2038.pdf . 2006-09-02.
3. A. L. . Rubin . J. E. . Rubin . amp . 1969 . Extended operations and relations on the class of ordinal numbers . . 65 . 2 . 227–242 . 10.4064/fm-65-2-227-242 . free . (The default language of this webpage is Polish, but it can be changed to English via the language option on the upper right)
4. News: Ward . Mike . Most Senators, Assemblymen Unchallenged . . June 3, 1984 . https://web.archive.org/web/20121104023042/http://pqasb.pqarchiver.com/latimes/access/676835132.html?dids=676835132:676835132&FMT=ABS&FMTS=ABS:AI&type=historic&date=Jun+03,+1984&author=&pub=Los+Angeles+Times&desc=Most+Senators,+Assemblymen+Unchallenged&pqatl=google . dead . November 4, 2012 . subscription . .
5. Book: Gerald L. . Alexanderson . Gerald L. Alexanderson . Leonard F. . Klosinski . Loren C. . Larson . The William Lowell Putnam Mathematical Competition Problems and Solutions 1965–1984 . . 1985 . 141–142 . 0-88385-463-5 . 55235548 . .
6. Web site: . The Mathematical Association of America's William Lowell Putnam Competition . 2006-04-25 . https://web.archive.org/web/20060421093143/http://www.maa.org/awards/putnam.html . 21 April 2006 . live . . .
7. Web site: Joseph . Gallian . Joseph Gallian . The Putnam Competition from 1938-2009 . 2015-09-22 . https://web.archive.org/web/20091013085917/http://www.d.umn.edu/~jgallian/putnam06.pdf . 2009-10-13 . dead . .
8. Greitzer . S . The First U.S.A Mathematical Olympiad . . 80 . 3 . 276–281 . . March 1973 . 10.2307/2318449 . 2318449.
9. News: Caltech Math Whiz . . May 13, 1974 . D1–D2 . Stingley . Jim . subscription . . Reprinted and slightly altered in Madison Capital Times on July 6, 1974
10. Ph.D. . Rubin . Arthur Leonard . Free Algebras in Von Neumann–Bernays–Gödel Set Theory and Positive Elementary Inductions in Reasonable Structures . California Institute of Technology . 1978 . 436995833 . . (Note: access might be depended on type of library institutional subscription available)
11. Book: Paul Erdős . Paul . Erdős . Arthur L. . Rubin . Herbert . Taylor . amp . 1980 . Choosability in graphs . Proc. West Coast Conf. on Combinatorics, Graph Theory and Computing (Humboldt State Univ., Arcata, Calif., 1979) . Congressus Numerantium . XXVI . 125–157 . 0593902 . http://www.renyi.hu/~p_erdos/1980-07.pdf.