Doron Zeilberger

Doron Zeilberger
Photograph of Doron Zeilberger displaying a hypergeometric identity on his T-shirt.
Born 2 July 1950 (1950-07-02) (age 68)
Haifa, Israel
Residence United States
Citizenship Israeli
Known for alternating sign matrix conjecture, WZ theory
Awards Lester R. Ford Award (1990), Leroy P. Steele Prize (1998), Euler Medal (2004), David P. Robbins Prize (2016)
Scientific career
Fields Mathematics, Computer Science
Institutions Rutgers University
Doctoral advisor Harry 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], 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][4]

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.[5]

Zeilberger is an ultrafinitist.[6] 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[7]), and for his provocative opinions, some of which are:

Awards and honors

Zeilberger received a Lester R. Ford Award in 1990.[8] 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.[9]

See also

References

  1. Doron Zeilberger at the Mathematics Genealogy Project
  2. Zeilberger, Doron. "Doron Zeilberger's Ph.D." Retrieved Sep 6, 2018.
  3. Rutgers Focus, 15 December 2000
  4. "Celia Zeilberger, Tim Ahmed". Sep 2, 2012. Retrieved Sep 6, 2018. [Celia Le Grange Zeilberger] 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.]
  5. 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), 21962199.
  6. An Enquiry Concerning Human (and Computer!) (Mathematical) Understanding
  7. Gallian, J. and Pearson, M., An Interview with Doron Zeilberger FOCUS 27 (2007), 1417.
  8. 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.
  9. List of Fellows of the American Mathematical Society, retrieved 2013-09-01.
  • Doron Zeilberger's homepage
  • Biography from ScienceWorld
  • Weisstein, Eric W. "Zeilberger's Algorithm". MathWorld.
  • Weisstein, Eric W. "Wilf-Zeilberger Pair". MathWorld.
  • Weisstein, Eric W. "Alternating Sign Matrix Conjecture". MathWorld.
  • Weisstein, Eric W. "Refined Alternating Sign Matrix Conjecture". MathWorld.
  • Weisstein, Eric W. "Zeilberger-Bressoud Theorem". MathWorld.
  • From A = B to Z = 60, a conference in honor of Doron Zeilberger's 60th birthday, 27 and 28 May 2010

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