Doron Zeilberger

{{Short description|Mathematician}}

{{Use dmy dates|date=January 2021}}

{{Infobox scientist

| name = Doron Zeilberger

| native_name = דורון ציילברגר

| native_name_lang = he

| image = Doron_Zeilberger_(circa_2005).jpg

| image_size =

| caption = Photograph of Doron Zeilberger displaying a hypergeometric identity on his T-shirt.

| birth_date = {{b-da|2 July 1950}}

| birth_place = Haifa, Israel

| death_date =

| death_place =

| nationality =

| ethnicity =

| fields = Mathematics, Computer Science

| doctoral_advisor = Harry Dym

| workplaces = Rutgers University

| academic_advisors =

| doctoral_students = Aaron Robertson

| notable_students =

| known_for = Alternating sign matrix conjecture
Zeilberger–Bressoud theorem
Wilf–Zeilberger pair

| author_abbrev_bot =

| author_abbrev_zoo =

| influences =

| influenced =

| awards = Lester R. Ford Award (1990)
Leroy P. Steele Prize (1998)
Euler Medal (2004)
David P. Robbins Prize (2016)

| religion =

| footnotes =

| education = Weizmann Institute of Science

| website = {{URL|https://sites.math.rutgers.edu/~zeilberg/}}

}}

Doron Zeilberger ({{Langx|he|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,{{MathGenealogy |id=19205}} with the thesis "New Approaches and Results in the Theory of Discrete Analytic Functions."{{cite web |url=http://sites.math.rutgers.edu/~zeilberg/phd3.html |title=Doron Zeilberger's PhD |first=Doron |last=Zeilberger |access-date=6 September 2018 }} He is a Board of Governors Professor of Mathematics at Rutgers University.{{cite news |url=https://www.nytimes.com/2012/09/02/fashion/weddings/celia-zeilberger-tim-ahmed-weddings.html |title=Celia Zeilberger, Tim Ahmed |date=2 September 2012 |access-date=6 September 2018 |quote=[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.]|newspaper=The New York Times }}

Mathematical work

Zeilberger has made contributions to combinatorics, hypergeometric identities, and q-series. He 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.{{Cite journal |doi = 10.1073/pnas.1019186108|pmc=3038772 |title = Proof of George Andrews's and David Robbins's q-TSPP conjecture|journal = Proceedings of the National Academy of Sciences|volume = 108|issue = 6|pages = 2196–2199|year = 2011|last1 = Koutschan|first1 = C.|last2 = Kauers|first2 = M.|last3 = Zeilberger|first3 = D.|arxiv = 1002.4384|bibcode = 2011PNAS..108.2196K|s2cid = 12077490|doi-access = free}}

Zeilberger is an ultrafinitist.{{cite journal |last=Gefter |first=Amanda |author-link=Amanda Gefter |date=August 2013 |title=The infinity illusion |journal=New Scientist |volume=219 |issue=2930 |pages=32–35 |doi=10.1016/S0262-4079(13)62043-6}} He is also known for crediting his computer "Shalosh B. Ekhad" as a co-author{{cite magazine |last=Wolchover |first=Natalie |date=4 March 2013 |title=As math grows more complex, will computers reign? |url=https://www.wired.com/2013/03/computers-and-math/ |magazine=Wired |access-date=2019-02-09}} ("Shalosh" and "Ekhad" mean "Three" and "One" in Hebrew respectively, referring to his first computer, an AT&T 3B1Gallian, J. and Pearson, M., [https://www.maa.org/sites/default/files/pdf/dist-lecture/zeilbergerinterview.pdf An Interview with Doron Zeilberger] FOCUS 27 (2007), 14–17.), and for his provocative opinions.{{cite web |last=Trivedi |first=Shubhendu |date=25 June 2012 |title=The opinions of Doron Zeilberger |url=https://onionesquereality.wordpress.com/2012/06/25/the-opinions-of-doron-zeilberger/ |website=onionesquereality.wordpress.com |access-date=2019-02-09}} Examples of his opinions are:

  • [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://sites.math.rutgers.edu/~zeilberg/Opinion2.html "People who believe that applied math is bad math are bad mathematicians"]
  • [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://sites.math.rutgers.edu/~zeilberg/Opinion53.html "Frank Quinn's rigor is not as rigorous as he thinks"]
  • [http://sites.math.rutgers.edu/~zeilberg/Opinion60.html "Still like that old-time blackboard talk"].

Awards and honors

Zeilberger received a Lester R. Ford Award in 1990.{{cite journal|author=Zeilberger, Doron|title=Kathy O'Hara's constructive proof of the unimodality of the Gaussian polynomials|journal=Amer. Math. Monthly|volume=96|issue=7|year=1989|pages=590–602|url=http://www.maa.org/programs/maa-awards/writing-awards/kathy-oharas-constructive-proof-of-the-unimodality-of-the-gaussian-polynomials|doi=10.2307/2325177|jstor=2325177}} 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".{{cite web |url=http://www.math.rutgers.edu/~zeilberg/EulerMedalCitation.html |title=Institute of Combinatorics and its Applications' 2004 Euler Medal Citation for Doron Zeilberger |website=math.rutgers.edu |access-date=2019-02-09}} 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.[http://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society], retrieved 2013-09-01.

See also

References

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