Doron Zeilberger

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Doron Zeilberger
דורון ציילברגר
Photograph of Doron Zeilberger displaying a hypergeometric identity on his T-shirt.
Born2 July 1950 (1950-07-02) (age 74)
Haifa, Israel
EducationWeizmann Institute of Science
Known forAlternating sign matrix conjecture
Zeilberger–Bressoud theorem
Wilf–Zeilberger pair
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
Doctoral studentsAaron Robertson (mathematician)

Doron Zeilberger (Hebrew: דורון ציילברגר; born 2 July 1950) is an Israeli-American 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] with the thesis "New Approaches and Results in the Theory of Discrete Analytic Functions."[2] He is a Board of Governors Professor of Mathematics at Rutgers University.[3]

Contributions

Zeilberger has made 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.[4]

Zeilberger is an ultrafinitist.[5] He is also known for crediting his computer "Shalosh B. Ekhad" as a co-author[6] ("Shalosh" and "Ekhad" mean "Three" and "One" in Hebrew respectively, referring to his first computer, an AT&T 3B1[7]), and for his provocative opinions.[8]

Awards and honors

Zeilberger received a Lester R. Ford Award in 1990.[9] 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".[10] In 2016 he received, together with Manuel Kauers and Christoph Koutschan, the David P. Robbins Prize of the American Mathematical Society.

Zeilberger was a member of the inaugural 2013 class of fellows of the American Mathematical Society.[11]

See also

References

  1. ^ Doron Zeilberger at the Mathematics Genealogy Project
  2. ^ Zeilberger, Doron. "Doron Zeilberger's PhD". Retrieved 6 September 2018.
  3. ^ "Celia Zeilberger, Tim Ahmed". The New York Times. 2 September 2012. Retrieved 6 September 2018. is a daughter of... Doron Zeilberger of Princeton, N.J. Her father is a board of governors professor of mathematics at Rutgers in New Brunswick, N.J.]
  4. ^ Koutschan, C.; Kauers, M.; Zeilberger, D. (2011). "Proof of George Andrews's and David Robbins's q-TSPP conjecture". Proceedings of the National Academy of Sciences. 108 (6): 2196–2199. arXiv:1002.4384. Bibcode:2011PNAS..108.2196K. doi:10.1073/pnas.1019186108. PMC 3038772. S2CID 12077490.
  5. ^ Gefter, Amanda (August 2013). "The infinity illusion". New Scientist. 219 (2930): 32–35. doi:10.1016/S0262-4079(13)62043-6.
  6. ^ Wolchover, Natalie (4 March 2013). "As math grows more complex, will computers reign?". Wired. Retrieved 9 February 2019.
  7. ^ Gallian, J. and Pearson, M., An Interview with Doron Zeilberger FOCUS 27 (2007), 14–17.
  8. ^ Trivedi, Shubhendu (25 June 2012). "The opinions of Doron Zeilberger". onionesquereality.wordpress.com. Retrieved 9 February 2019. Examples of his opinions are:
  9. ^ Zeilberger, Doron (1989). "Kathy O'Hara's constructive proof of the unimodality of the Gaussian polynomials". Amer. Math. Monthly. 96 (7): 590–602. doi:10.2307/2325177. JSTOR 2325177.
  10. ^ "Institute of Combinatorics and its Applications' 2004 Euler Medal Citation for Doron Zeilberger". math.rutgers.edu. Retrieved 9 February 2019.
  11. ^ List of Fellows of the American Mathematical Society, retrieved 2013-09-01.
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