Doron Zeilberger
Doron Zeilberger ( Hebrew דורון ציילברגר; * July 2, 1950 in Haifa , Israel ) is an Israeli mathematician who studies combinatorics .
Zeilberger received his doctorate in 1976 at the Weizmann Institute under Harry Dym . In 1977/78 he was at the Institute for Advanced Study in Princeton . He is a professor of mathematics at Rutgers University , New Jersey .
Zeilberger made many important contributions to combinatorics, especially in the field of hypergeometric identities and rows ( Zeilberger algorithm , Wilf-Zeilberger pairs ).
For his proof (1995) of the "Alternating Sign Matrix Conjecture" on the number of matrices with alternating signs , he hired 88 volunteers to review the evidence, which required massive use of computers. Shortly thereafter, Greg Kuperberg gave a brief proof .
With Herbert Wilf he received the Leroy P. Steele Prize in 1998 for his research . In 2004 he received the Euler Medal .
He published the book with Wilf and Marko Petkovsek in 1996 . It describes the research results on algorithms for the simplification of sums with binomial coefficients and for finding and proving hypergeometric identities for a wide readership . The book can be read online; Donald Knuth wrote the foreword .
He is a fellow of the American Mathematical Society .
Zeilberger is married to a physicist and has three children.
The name of the co-author of some of his essays (Shalosh B. Ekhad) is fictional (he designates his computer, an ATT 3B1, Shalosh stands for three, Ekhad for one).
literature
- 1998 Steele Prizes ( PDF file, 342 kB), Notices of the AMS 45, April 1998, pp. 504–508 (English; with picture and short biography)
- Jeanine Daems, Ionica Smeets: De favoriet van Persi Diaconis: Doron Zeilberger ( PDF file, 106 kB), Nieuw Archief voor Wiskunde (series 5) 8, June 2007, p. 89 (Dutch; with picture)
- Akalu Tefera: What is… a Wilf-Zeilberger Pair? ( PDF file, 65 kB), Notices of the AMS 57, April 2010, pp. 508–509 (English)
- Andries Brouwer: Automatic summation using Zeilberger-Wilf theory (PDF; 97 kB) Nieuw Archief Wiskunde, December 2002
Web links
- Homepage of Doron Zeilberger
- Science World biography
- Zeilberger at the Mathematics Genealogy Project
Remarks
- ↑ The entries (0, +1, −1) in the rows / columns add up to 1 and have alternating signs.
- ^ The ICA Medals. Institute of Combinatorics and its Applications, accessed June 17, 2018 .
- ↑ Home Page for the Book "A = B"
- ↑ Barbara Pieronkiewicz, Mathematicians who never were, Mathematical Intelligencer, Volume 40, No. 2, 2018
personal data | |
---|---|
SURNAME | Zeilberger, Doron |
ALTERNATIVE NAMES | דורון ציילברגר (Hebrew) |
BRIEF DESCRIPTION | Israeli mathematician |
DATE OF BIRTH | 2nd July 1950 |
PLACE OF BIRTH | Haifa , Israel |