Arthur Rubin

Arthur Leonard Rubin (born 1956) is an American mathematician who has earned a place among the five top-ranked undergraduate competitors (who are themselves not ranked against each other) in the William Lowell Putnam Competition four times (1970–73), [cite book |last= editors Gerald L. Alexanderson |coauthors= Leonard F. Klosinski; Loren C. Larson |title = The William Lowell Putnam Mathematical Competition Problems and Solutions 1965-1984 |publisher = The Mathematical Association of America |date = 1985 |location = Washington, DC| pages = 141-142 |url = http://books.google.com/books?id=HNLRgSGZrWMC&pg=PA142&dq=%22arthur+rubin%22+putnam&sig=ACfU3U2_R0_uF_yjYw-bK1L0_t0zql3X3w |accessdate= 2008-07-29 |isbn = 0883854635] a feat matched by only six other undergraduate students since the first competition in 1938. [cite web | author=Mathematical Association of America, The | title=The Mathematical Association of America's William Lowell Putnam Competition | url=http://www.maa.org/awards/putnam.html | accessdate=2006-04-25] This achievement was lauded in the popular press, which described him as a genius, "Arthur Rubin is to the mathematics world what Pegasus would be to the Kentucky Derby." [citation|url=http://pqasb.pqarchiver.com/latimes/access/645142392.html?dids=645142392:645142392&FMT=ABS&FMTS=ABS:AI&date=May+13%2C+1974&author=JIM+STINGLEY&pub=Los+Angeles+Times&desc=CALTECH+MATH+WHIZ&pqatl=google|title=Cal Tech Math Whiz|publisher=Los Angeles Times|date=May 13, 1974|author=Jim Stingley] [citation|url=http://www.newspaperarchive.com/LandingPage.aspx?type=glpnews&search=%22arthur%20rubin%22%20mathematics&
|title=Math Genius|publisher=Charleston Gazette Tuesday|date=May 21, 1974]

His mother was J E H Rubin, Professor of Mathematics at Purdue University for over 35 years, and his father, H Rubin, Professor of Statistics at the same university. [cite journal|author=Dinah L. McClure, editor|title=Obituary: J E H Rubin |year=2002 |journal=Sequel |issue=38 |pages=2 | url=http://www.science.purdue.edu/Sequel/sequel%2038.pdf | accessdate=2006-04-25]

In 1978, Rubin earned his PhD from the California Institute of Technology, under the direction of Alexander S. Kechris. Rubin's dissertation was entitled "Free Algebras in Von Neumann–Bernays–Gödel Set Theory and Positive Elementary Inductions in Reasonable Structures". [cite web|author = The Mathematics Genealogy Project | title = Arthur Rubin | url = http://www.genealogy.ams.org/html/id.phtml?id=10490| accessdate=2006-12-16 ] Shortly after, in 1979, Rubin co-authored a paper on graph theory with Paul Erdős, giving him an Erdős number of 1. [cite journal|author=P. Erdős, A. L. Rubin and H. Taylor|year=1979|title=Choosability in graphs|journal=Proc. West Coast Conf. on Combinatorics, Graph Theory and Computing, Congressus Numerantium XXVI |pages=125–157]

Rubin has published papers on:
* The Axiom of Choice. [ cite journal|author= P. E. Howard, A. L. Rubin, & J. E. Rubin |year=1979|title=Kinna–Wagner Selection Principles, Axioms of Choice and Multiple Choice|journal=Monatshefte fur Mathematkik, |volume=123 |issue=4 |pages=309–319|doi=10.1007/BF01326766] [Arthur L. Rubin, Jean E. Rubin: Weak Forms of the Axiom of Choice and the Generalized Continuum Hypothesis. Math. Log. Q. 39: 7-22 (1993)]
* Information Theory. [cite journal|author=E. C. Posner & A.L. Rubin, |year=1984|title=Capacity of digital links in tandem. |journal=IEEE Transactions on Information Theory. |volume=IT-30 |issue=3 |pages=464–470|doi=10.1109/TIT.1984.1056917]
* Digital signal processing. [cite journal|author=T. K. Truong, I. S. Reed, R. G. Lipes, A. L. Rubin, & S. A. Butman, |year=1984|title=Digital SAR processing using a fast polynomial transform |journal=IEEE Transactions on Acoustics, Speech, and Signal Processing |volume=ASSP-32 |issue=2 |pages=419–425|doi=10.1109/TASSP.1984.1164307 ]

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