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| Zeilberger, Doron Zeilberger | |
|---|---|
| Name | Doron Zeilberger |
| Birth date | 1949 |
| Birth place | Tel Aviv |
| Nationality | Israeli-American |
| Alma mater | Technion – Israel Institute of Technology, Princeton University |
| Occupation | Mathematician, Professor |
| Known for | Experimental mathematics, Hypergeometric identities, Wilf–Zeilberger method |
| Awards | Alan T. Waterman Award, MacArthur Fellows Program, Euler Medal |
Zeilberger, Doron Zeilberger Doron Zeilberger is an Israeli-American mathematician noted for pioneering work in experimental mathematics, automated proof techniques, and computer-assisted combinatorics. He has held appointments at institutions such as Rutgers University, Temple University, and maintains collaborations with researchers at Princeton University, Technion – Israel Institute of Technology, and international centers. His career spans intersections with figures and topics including Herbert Wilf, George Andrews, Richard Stanley, Paul Erdős, and developments related to Ramanujan and Euler-type identities.
Zeilberger was born in Tel Aviv and completed undergraduate studies at the Technion – Israel Institute of Technology before pursuing graduate work at Princeton University under the supervision of Elliott H. Lieb and influence from scholars like William Feller and Persi Diaconis. During his formative years he engaged with mathematical communities at venues such as the Institute for Advanced Study and conferences connected to The American Mathematical Society and Mathematical Association of America, encountering contemporaries from Harvard University, Massachusetts Institute of Technology, and Stanford University.
Zeilberger served on the faculty of Rutgers University and later Temple University, holding roles that connected him with departments at Princeton University, Columbia University, and research groups at University of Pennsylvania. He participated in visiting appointments at University of California, Berkeley, University of Illinois Urbana-Champaign, Hebrew University of Jerusalem, and collaborated with institutes such as the Mathematical Sciences Research Institute and Centre National de la Recherche Scientifique. His professional network includes membership and interactions with organizations like Society for Industrial and Applied Mathematics, American Mathematical Society, and editorial boards for journals associated with Elsevier and Springer Science+Business Media.
Zeilberger's research emphasized algorithmic and experimental methods, notably co-developing the Wilf–Zeilberger method with Herbert Wilf for certifying hypergeometric identities and advancing automated proof systems used in combinatorics and special functions. He championed the use of computer algebra systems including Maple, Mathematica, and collaborations with projects at Bell Labs and IBM Research to mechanize proofs linked to hypergeometric series, q-series, and orthogonal polynomials. His work influenced studies in partition theory connected to Srinivasa Ramanujan, asymptotic enumeration problems related to Alan T. Waterman Award recipients, and algorithmic complexity themes associated with Donald Knuth and Stephen Cook.
Zeilberger promoted experimental mathematics paradigms, drawing on the precedents of Carl Friedrich Gauss, Leonhard Euler, and Srinivasa Ramanujan, while critiquing traditional axiomatic approaches advocated in some circles at Cambridge University and Oxford University. His methodologies intersected with symbolic computation, automated theorem proving efforts from Stanford Research Institute and influenced implementations in packages distributed by Wolfram Research.
Zeilberger received awards such as the Alan T. Waterman Award and recognition from the MacArthur Fellows Program and was honored by societies including the American Mathematical Society and the Institute of Combinatorics and its Applications. He has given plenary addresses at meetings of the International Congress of Mathematicians, European Mathematical Society, and national gatherings of the Mathematical Association of America. His contributions were cited alongside laureates of the Fields Medal, Abel Prize, and recipients of honors from institutions like National Science Foundation and National Academy of Sciences.
Zeilberger authored numerous articles and monographs appearing in journals associated with Elsevier, Springer Nature, and Cambridge University Press. Key works include foundational papers on the Wilf–Zeilberger method coauthored with Herbert Wilf, algorithmic treatments of hypergeometric identities, and contributions to automated proof literature cited alongside works by Imre Lakatos, Paul Erdős, and George Andrews. His publications have been featured in proceedings of conferences hosted by Institute for Advanced Study, Mathematical Sciences Research Institute, and thematic volumes from SIAM.
As a professor at institutions including Rutgers University and Temple University, Zeilberger supervised graduate students and postdoctoral researchers who later joined faculties at Princeton University, Harvard University, Massachusetts Institute of Technology, and international universities such as University of Cambridge and ETH Zurich. He organized workshops and summer schools with collaborators from American Mathematical Society, SIAM, and European Mathematical Society, promoting programs in experimental mathematics and computational approaches used in curricula at California Institute of Technology and University of Chicago.
Zeilberger is known for outspoken views on the practice of mathematics, advocating empirical and computational validation aligning with traditions from Leonhard Euler and Srinivasa Ramanujan rather than purely formalist trends from David Hilbert or structuralist tendencies associated with some Cambridge University circles. He has engaged in public debates and essays concerning the future of mathematics alongside commentators from The New York Times, academics at Princeton University, and colleagues across institutions such as Hebrew University of Jerusalem and Technion – Israel Institute of Technology.
Category:Mathematicians Category:Combinatorialists Category:Israeli mathematicians Category:American mathematicians