Doron Zeilberger (דורון ציילברגר, born 2 July 1950 in

Haifa Haifa ( he, חֵיפָה ' ; ar, حَيْفَا ') is the third-largest city in Israel—after Jerusalem and Tel Aviv—with a population of in . The city of Haifa forms part of the Haifa metropolitan area, the third-most populous metropol ...

, Israel) is an

Israeli Israeli may refer to: * Something of, from, or related to the State of Israel * Israelis, citizens or permanent residents of the State of Israel * Modern Hebrew, a language * ''Israeli'' (newspaper), published from 2006 to 2008 * Guni Israeli ...

mathematician, known for his work in combinatorics.

Education and career

He received his doctorate from the

Weizmann Institute of Science The Weizmann Institute of Science ( he, מכון ויצמן למדע ''Machon Vaitzman LeMada'') is a public research university in Rehovot, Israel, established in 1934, 14 years before the State of Israel. It differs from other Israeli unive ...

in 1976, under the direction of Harry Dym, with the thesis "New Approaches and Results in the Theory of Discrete Analytic Functions." He is a Board of Governors Professor of Mathematics at

Rutgers University Rutgers University (; RU), officially Rutgers, The State University of New Jersey, is a public land-grant research university consisting of four campuses in New Jersey. Chartered in 1766, Rutgers was originally called Queen's College, and was ...

Contributions

Zeilberger has made contributions to combinatorics,

hypergeometric identities In mathematics, hypergeometric identities are equalities involving sums over hypergeometric terms, i.e. the coefficients occurring in hypergeometric series. These identities occur frequently in solutions to combinatorial problems, and also in t ...

, and

q-series In mathematical area of combinatorics, the ''q''-Pochhammer symbol, also called the ''q''-shifted factorial, is the product (a;q)_n = \prod_^ (1-aq^k)=(1-a)(1-aq)(1-aq^2)\cdots(1-aq^), with (a;q)_0 = 1. It is a ''q''-analog of the Pochhammer sym ...

. Zeilberger gave the first proof of the

alternating sign matrix conjecture In mathematics, an alternating sign matrix is a square matrix of 0s, 1s, and −1s such that the sum of each row and column is 1 and the nonzero entries in each row and column alternate in sign. These matrices generalize permutation matrices and a ...

, 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 Manuel Kauers (born 20 February 1979 in Lahnstein, West Germany) is a German mathematician and computer scientist. He is working on computer algebra and its applications to discrete mathematics. He is currently professor for algebra at Johan ...

and

Christoph Koutschan Christoph Koutschan is a German mathematician and computer scientist. He is currently with the Johann Radon Institute for Computational and Applied Mathematics (RICAM) of the Austrian Academy of Sciences. Education Christoph Koutschan (born 1 ...

, Zeilberger proved the ''q''-TSPP conjecture, which was independently stated in 1983 by George Andrews and

David P. Robbins David Peter Robbins (12 August 1942 in Brooklyn – 4 September 2003 in Princeton) was an American mathematician. He is most famous for introducing alternating sign matrices.. He is also known for his work on generalizations of Heron's formula o ...

. Zeilberger is an ultrafinitist. He is also known for crediting his computer "Shalosh B. Ekhad" as a co-author ("Shalosh" and "Ekhad" mean "Three" and "One" in

Hebrew Hebrew (; ; ) is a Northwest Semitic language of the Afroasiatic language family. Historically, it is one of the spoken languages of the Israelites and their longest-surviving descendants, the Jews and Samaritans. It was largely preserved ...

respectively, referring to his first computer, an

AT&T AT&T Inc. is an American multinational telecommunications holding company headquartered at Whitacre Tower in Downtown Dallas, Texas. It is the world's largest telecommunications company by revenue and the third largest provider of mobile te ...

3B1), and for his provocative opinions.

Awards and honors

Zeilberger received a

Lester R. Ford Award Lester is an ancient Anglo-Saxon surname and given name. Notable people and characters with the name include: People Given name * Lester Bangs (1948–1982), American music critic * Lester W. Bentley (1908–1972), American artist from Wisc ...

in 1990. Together with

Herbert Wilf Herbert Saul Wilf (June 13, 1931 – January 7, 2012) was a mathematician, specializing in combinatorics and graph theory. He was the Thomas A. Scott Professor of Mathematics in Combinatorial Analysis and Computing at the University of Pennsylv ...

, Zeilberger was awarded the

American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...

Leroy P. Steele Prize The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics. Since 1993, there has been a formal division into three categories. The prizes have b ...

for Seminal Contributions to Research in 1998 for their development of

WZ theory WZ may refer to: * WZ sex-determination system, also known as the ZW sex-determination system * WZ theory, a technique for simplifying certain combinatorial summations in mathematics * Eswatini (FIPS 10-4 country code WZ) * ''Westdeutsche Zeitung ...

, which has revolutionized the field of hypergeometric summation. In 2004, Zeilberger was awarded the

Euler Medal The Institute of Combinatorics and its Applications (ICA) is an international scientific organization formed in 1990 to increase the visibility and influence of the combinatorial community. In pursuit of this goal, the ICA sponsors conferences, ...

; 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

and

, the David P. Robbins Prize of the American Mathematical Society. Zeilberger was a member of the inaugural 2013 class of fellows of the

.List of Fellows of the American Mathematical Society
retrieved 2013-09-01.

References

External links

Doron Zeilberger's homepage

from

ScienceWorld Wolfram Research, Inc. ( ) is an American multinational company that creates computational technology. Wolfram's flagship product is the technical computing program Wolfram Mathematica, first released on June 23, 1988. Other products include ...

* * * * *
From A = B to Z = 60
a conference in honor of Doron Zeilberger's 60th birthday, 27 and 28 May 2010 {{DEFAULTSORT:Zeilberger, Doron 1950 births Living people 20th-century Israeli mathematicians 21st-century Israeli mathematicians Combinatorialists Fellows of the American Mathematical Society Israeli Jews Jewish scientists People from Haifa Rutgers University faculty Weizmann Institute of Science alumni

Education and career

Contributions

Awards and honors

See also

References

External links