Bruce Reznick (born February 3, 1953, in New York City) is an American mathematician long on the faculty at the University of Illinois at Urbana–Champaign. He is a prolific researcherResearch Publications of Bruce Reznick Updated June 29, 2019 noted for his contributions to number theory and the combinatorial-algebraic-analytic investigations of polynomials.Biographical Sketch of Bruce Reznick In July 2019, to mark his 66th birthday, a day long symposium "Bruce Reznick 66 fest: A mensch of Combinatorial-Algebraic Mathematics" was held at the University of Bern, Switzerland.Bruce Reznick 66 fest: A mensch of Combinatorial-Algebraic Mathematics Department of Mathematics, UC Davis
Education and career Reznick got his B.S. in 1973 from the California Institute of Technology and his Ph.D. in 1976 from Stanford University under Per Enflo for the thesis "Banach Spaces Which Satisfy Linear Identities".Bruce Arie Reznick at the Mathematics Genealogy Project
He was a Sloan Fellow (1983–1986) and is a fellow of the American Mathematical Society (AMS). From 1983 to 1985 he was on the Putnam Competition Preparation Committee of the Mathematical Association of America (MAA). As an undergraduate he had been a member of the first place team in the Putnam Competition twice, also being ranked twice in the top ten as an individual
Reznick is a frequent author on matters relating to teaching and mentoring, and the overall training of graduate students. He wrote the popular article "Chalking It Up: Advice to a New TA".Resources for Preparing and Supporting Teachers of Undergraduate Mathematics: Handbooks by Teri Jo Murphy
Research Reznick has done a systematic analysis of the representation of real forms of even degree as sums of powers of linear forms. This work was described in his monograph Sum of Even Powers of Real Linear Forms (Memoirs of the American Mathematical Society, 1992)Sum of Even Powers of Real Linear Forms by Bruce Reznick, 30 Jul 1992
Reznick specializes in combinatorial methods in algebra, analysis and number theory, often involving polynomials, polytopes and integer sequences.The secret lives of polynomial identities Speaker Bruce Reznick, Claremont Center for the Mathematical Sciences, September 21, 2011 He is known for his contributions to the study of sums of squares and positivity of polynomials. In joint work with M.D. Choi and T. Y. Lam, he developed the Gram matrix method for writing real polynomials as sums of squares; this method has important applications to other areas of mathematics including optimization.Google Scholar Citations Bruce Reznick, Professor of Mathematics, University of Illinois
Awards 2013 fellow of the American Mathematical SocietyReznick, Bruce, University of Illinois, Urbana-Champaign – 2013, Inaugural Class of Fellows List of Fellows of the American Mathematical Society 2008-2009 Campus Award for Excellence in Undergraduate Teaching in the University of Illinois at Urbana-Champaign Reznick has an Erdős–Bacon number of 3 which puts him in a tie for the lead with MIT math professor Daniel Kleitman.Math and Hollywood mix it up at MIT MIT OpenCourseWare News and Information, June 1, 2016Mulcahy, Colm, Centenary of Mathematician Paul Erdős -- Source of Bacon Number Concept Huffpost, December 6, 2017. Accessed November 14, 2022.
Selected publications
References
External links
Bruce Reznick's homepage