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Zeilberger has made numerous important contributions to combinatorics, [[hypergeometric identities]], and [[q-series]]. Zeilberger gave the first proof of the [[alternating sign matrix conjecture]], noteworthy not only for its mathematical content, but also for the fact that Zeilberger recruited nearly a hundred volunteer checkers to "pre-referee" the paper. In 2011, together with [[Manuel Kauers]] and [[Christoph Koutschan]], Zeilberger proved the [[q-TSPP conjecture|''q''-TSPP conjecture]], which was independently stated in 1983 by [[George Andrews (mathematician)|George Andrews]] and [[David P. Robbins]].<ref>Koutschan, C., Kauers, M., and Zeilberger, D., [https://dx.doi.org/10.1073/pnas.1019186108 Proof of George Andrews’s and David Robbins’s ''q''-TSPP conjecture], ''Proc. Natl. Acad. Sci. USA'' '''108''' (2011), 2196&ndash;2199.</ref>
Zeilberger has made numerous important contributions to combinatorics, [[hypergeometric identities]], and [[q-series]]. Zeilberger gave the first proof of the [[alternating sign matrix conjecture]], noteworthy not only for its mathematical content, but also for the fact that Zeilberger recruited nearly a hundred volunteer checkers to "pre-referee" the paper. In 2011, together with [[Manuel Kauers]] and [[Christoph Koutschan]], Zeilberger proved the [[q-TSPP conjecture|''q''-TSPP conjecture]], which was independently stated in 1983 by [[George Andrews (mathematician)|George Andrews]] and [[David P. Robbins]].<ref>Koutschan, C., Kauers, M., and Zeilberger, D., [https://dx.doi.org/10.1073/pnas.1019186108 Proof of George Andrews’s and David Robbins’s ''q''-TSPP conjecture], ''Proc. Natl. Acad. Sci. USA'' '''108''' (2011), 2196&ndash;2199.</ref>


Zeilberger is an [[Ultrafinitism|ultrafinitist]].<ref>[http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/enquiry.html ''An Enquiry Concerning Human (and Computer!) (Mathematical) Understanding'']</ref> He is also known for crediting his computer "[http://www.math.rutgers.edu/~zeilberg/ekhad.html Shalosh B. Ekhad]" as a co-author ("Shalosh" and "Ekhad" mean "Three" and "One" in [[Hebrew language|Hebrew]] respectively, referring to his first computer, an [[Old AT&T|AT&T]] [[3b1|3B1]]<ref>Gallian, J. and Pearson, M., [http://www.maa.org/dist-lecture/zeilbergerinterview.pdf An Interview with Doron Zeilberger] FOCUS '''27''' (2007), 14&ndash;17.</ref>), and for his provocative [http://www.math.rutgers.edu/~zeilberg/OPINIONS.html opinions], some of which are:
Zeilberger is an [[Ultrafinitism|ultrafinitist]].<ref>[http://sites.math.rutgers.edu/~zeilberg/mamarim/mamarimhtml/enquiry.html ''An Enquiry Concerning Human (and Computer!) (Mathematical) Understanding'']</ref> He is also known for crediting his computer "[http://www.math.rutgers.edu/~zeilberg/ekhad.html Shalosh B. Ekhad]" as a co-author ("Shalosh" and "Ekhad" mean "Three" and "One" in [[Hebrew language|Hebrew]] respectively, referring to his first computer, an [[Old AT&T|AT&T]] [[3b1|3B1]]<ref>Gallian, J. and Pearson, M., [http://www.maa.org/dist-lecture/zeilbergerinterview.pdf An Interview with Doron Zeilberger] FOCUS '''27''' (2007), 14&ndash;17.</ref>), and for his provocative [http://sites.math.rutgers.edu/~zeilberg/OPINIONS.html opinions], some of which are:
* [http://www.math.rutgers.edu/~zeilberg/Opinion104.html "The Shocking State of Contemporary "Mathematics", and the Meta-Shocking Fact that Very Few People Are Shocked"]
* [http://sites.math.rutgers.edu/~zeilberg/Opinion104.html "The Shocking State of Contemporary "Mathematics", and the Meta-Shocking Fact that Very Few People Are Shocked"]
* [http://www.math.rutgers.edu/~zeilberg/Opinion2.html "People who believe that applied math is bad math are bad mathematicians"]
* [http://sites.math.rutgers.edu/~zeilberg/Opinion2.html "People who believe that applied math is bad math are bad mathematicians"]
* [http://www.math.rutgers.edu/~zeilberg/Opinion37.html "Guess what? Programming is even more fun than proving, and, more importantly it gives as much, if not more, insight and understanding"]
* [http://sites.math.rutgers.edu/~zeilberg/Opinion37.html "Guess what? Programming is even more fun than proving, and, more importantly it gives as much, if not more, insight and understanding"]
* [http://www.math.rutgers.edu/~zeilberg/Opinion53.html "Frank Quinn's rigor is not as rigorous as he thinks"]
* [http://sites.math.rutgers.edu/~zeilberg/Opinion53.html "Frank Quinn's rigor is not as rigorous as he thinks"]
* [http://www.math.rutgers.edu/~zeilberg/Opinion60.html "Still like that old-time blackboard talk"].
* [http://sites.math.rutgers.edu/~zeilberg/Opinion60.html "Still like that old-time blackboard talk"].


==Awards and honors==
==Awards and honors==

Revision as of 01:24, 25 March 2018

Doron Zeilberger
Photograph of Doron Zeilberger displaying a hypergeometric identity on his T-shirt.
Born2 July 1950 (1950-07-02) (age 74)
Haifa, Israel
CitizenshipIsraeli
Known foralternating sign matrix conjecture, WZ theory
AwardsLester R. Ford Award (1990), Leroy P. Steele Prize (1998), Euler Medal (2004), David P. Robbins Prize (2016)
Scientific career
FieldsMathematics, Computer Science
InstitutionsRutgers University
Doctoral advisorHarry Dym

Doron Zeilberger (דורון ציילברגר, born 2 July 1950 in Haifa, Israel) is an Israeli mathematician, known for his work in combinatorics.

Education and career

He received his doctorate from the Weizmann Institute of Science in 1976, under the direction of Harry Dym.[1] He is a Board of Governors Professor of Mathematics at Rutgers University.[2]

Contributions

Zeilberger has made numerous important contributions to combinatorics, hypergeometric identities, and q-series. Zeilberger gave the first proof of the alternating sign matrix conjecture, noteworthy not only for its mathematical content, but also for the fact that Zeilberger recruited nearly a hundred volunteer checkers to "pre-referee" the paper. In 2011, together with Manuel Kauers and Christoph Koutschan, Zeilberger proved the q-TSPP conjecture, which was independently stated in 1983 by George Andrews and David P. Robbins.[3]

Zeilberger is an ultrafinitist.[4] He is also known for crediting his computer "Shalosh B. Ekhad" as a co-author ("Shalosh" and "Ekhad" mean "Three" and "One" in Hebrew respectively, referring to his first computer, an AT&T 3B1[5]), and for his provocative opinions, some of which are:

Awards and honors

Zeilberger received a Lester R. Ford Award in 1990.[6] Together with Herbert Wilf, Zeilberger was awarded the American Mathematical Society's Leroy P. Steele Prize for Seminal Contributions to Research in 1998 for their development of WZ theory, which has revolutionized the field of hypergeometric summation. In 2004, Zeilberger was awarded the Euler Medal; the citation refers to him as "a champion of using computers and algorithms to do mathematics quickly and efficiently." In 2016 he received, together with Manuel Kauers and Christoph Koutschan, the David P. Robbins Prize of the American Mathematical Society.

In 2012 he became a fellow of the American Mathematical Society.[7]

See also

References

  1. ^ Doron Zeilberger at the Mathematics Genealogy Project
  2. ^ Rutgers Focus[permanent dead link], 15 December 2000
  3. ^ Koutschan, C., Kauers, M., and Zeilberger, D., Proof of George Andrews’s and David Robbins’s q-TSPP conjecture, Proc. Natl. Acad. Sci. USA 108 (2011), 2196–2199.
  4. ^ An Enquiry Concerning Human (and Computer!) (Mathematical) Understanding
  5. ^ Gallian, J. and Pearson, M., An Interview with Doron Zeilberger FOCUS 27 (2007), 14–17.
  6. ^ Zeilberger, Doron (1989). "Kathy O'Hara's constructive proof of the unimodality of the Gaussian polynomials". Amer. Math. Monthly. 96: 590–602. doi:10.2307/2325177.
  7. ^ List of Fellows of the American Mathematical Society, retrieved 2013-09-01.
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