美国“数学大联盟杯赛”决赛和夏令营部分教授简介 - Professor Doron Zeilberger

Professor Doron Zeilberger is Israeli-American mathematician who has made important contributions to the fields of hypergeometric summation and q-Series. The so-called Wilf-Zeilberger pair and Zeilberger's algorithm are indispensable tools for summing hypergeometric series, and these techniques are used extensively in modern computer algebra software. Zeilberger was also the first to prove the elusive result in combinatorial theory known as the alternating sign matrix conjecture, as well as a number of related propositions. Zeilberger was a co-recipient of the 1998 Steele Prize of the American Mathematical Society for his research on hypergeometric summation.

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

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.

Zeilberger received a Lester R. Ford Award in 1990. 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.



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