Bruce Reznick

2.7k total citations
59 papers, 946 citations indexed

About

Bruce Reznick is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Applied Mathematics. According to data from OpenAlex, Bruce Reznick has authored 59 papers receiving a total of 946 indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Geometry and Topology, 17 papers in Computational Theory and Mathematics and 16 papers in Applied Mathematics. Recurrent topics in Bruce Reznick's work include Mathematics and Applications (15 papers), Advanced Differential Equations and Dynamical Systems (13 papers) and Algebraic Geometry and Number Theory (10 papers). Bruce Reznick is often cited by papers focused on Mathematics and Applications (15 papers), Advanced Differential Equations and Dynamical Systems (13 papers) and Algebraic Geometry and Number Theory (10 papers). Bruce Reznick collaborates with scholars based in United States, Canada and Germany. Bruce Reznick's co-authors include Victoria Powers, M. D. Choi, T. Y. Lam, Tsit Yuen Lam, Douglas B. West, Alex Rosenberg, Doron Zeilberger, J. Gillis, Robert J. McEliece and James B. Shearer and has published in prestigious journals such as Sensors, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Bruce Reznick

57 papers receiving 810 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Bruce Reznick United States 16 487 337 258 181 136 59 946
Raphael Loewy Israel 18 748 1.5× 196 0.6× 342 1.3× 139 0.8× 318 2.3× 81 1.1k
Georg Heinig Kuwait 15 700 1.4× 165 0.5× 70 0.3× 292 1.6× 155 1.1× 52 986
Arne Brøndsted Denmark 10 426 0.9× 155 0.5× 269 1.0× 245 1.4× 62 0.5× 16 828
Hȧrald K. Wimmer Germany 17 622 1.3× 310 0.9× 140 0.5× 197 1.1× 180 1.3× 96 1.0k
Manuel Bronstein France 16 503 1.0× 121 0.4× 208 0.8× 75 0.4× 130 1.0× 42 724
С. А. Абрамов Russia 19 767 1.6× 135 0.4× 252 1.0× 186 1.0× 226 1.7× 107 1.0k
Jerzy K. Baksalary Poland 22 1.1k 2.2× 339 1.0× 145 0.6× 472 2.6× 365 2.7× 109 1.5k
Patrick Fitzpatrick Ireland 19 601 1.2× 176 0.5× 336 1.3× 489 2.7× 81 0.6× 95 1.2k
Daniel Hershkowitz Israel 16 615 1.3× 160 0.5× 247 1.0× 84 0.5× 152 1.1× 76 863
Paul A. Fuhrmann Israel 19 628 1.3× 286 0.8× 235 0.9× 364 2.0× 167 1.2× 76 1.5k

Countries citing papers authored by Bruce Reznick

Since Specialization
Citations

This map shows the geographic impact of Bruce Reznick's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Bruce Reznick with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Bruce Reznick more than expected).

Fields of papers citing papers by Bruce Reznick

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Bruce Reznick. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Bruce Reznick. The network helps show where Bruce Reznick may publish in the future.

Co-authorship network of co-authors of Bruce Reznick

This figure shows the co-authorship network connecting the top 25 collaborators of Bruce Reznick. A scholar is included among the top collaborators of Bruce Reznick based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Bruce Reznick. Bruce Reznick is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Powers, Victoria, et al.. (2011). Pólya’s Theorem with zeros. Journal of Symbolic Computation. 46(9). 1039–1048. 4 indexed citations
2.
Powers, Victoria, et al.. (2009). A quantitative Pólya’s Theorem with zeros. Journal of Symbolic Computation. 44(9). 1285–1290. 7 indexed citations
3.
Beck, Matthias, et al.. (2008). Let me tell you my favorite lattice-point problem …. Contemporary mathematics - American Mathematical Society. 179–187. 4 indexed citations
4.
Reznick, Bruce. (2005). On the absence of uniform denominators in Hilbert’s 17th problem. Proceedings of the American Mathematical Society. 133(10). 2829–2834. 12 indexed citations
5.
Bennett, Michael A. & Bruce Reznick. (2004). Positive Rational Solutions to x y = y mx : A Number-Theoretic Excursion. American Mathematical Monthly. 111(1). 13–21. 1 indexed citations
6.
Powers, Victoria, Bruce Reznick, Claus Scheiderer, & Frank Sottile. (2004). A new approach to Hilbert's theorem on ternary quartics. Comptes Rendus Mathématique. 339(9). 617–620. 11 indexed citations
7.
Powers, Victoria & Bruce Reznick. (2001). A new bound for Pólya's Theorem with applications to polynomials positive on polyhedra. Journal of Pure and Applied Algebra. 164(1-2). 221–229. 105 indexed citations
8.
Powers, Victoria & Bruce Reznick. (2000). Polynomials that are positive on an interval. Transactions of the American Mathematical Society. 352(10). 4677–4692. 67 indexed citations
9.
Reznick, Bruce. (1996). Homogeneous Polynomial Solutions to Constant Coefficient PDE's. Advances in Mathematics. 117(2). 179–192. 15 indexed citations
10.
Reznick, Bruce. (1995). Some constructions of spherical 5-designs. Linear Algebra and its Applications. 226-228. 163–196. 21 indexed citations
11.
Reznick, Bruce. (1993). An inequality for products of polynomials. Proceedings of the American Mathematical Society. 117(4). 1063–1063. 11 indexed citations
12.
Choi, M. D., T. Y. Lam, & Bruce Reznick. (1991). Positive sextics and Schur's inequalities. Journal of Algebra. 141(1). 36–77. 3 indexed citations
13.
Reznick, Bruce, et al.. (1988). Eigensharp Graphs: Decomposition into Complete Bipartite Subgraphs. Transactions of the American Mathematical Society. 308(2). 637–637. 1 indexed citations
14.
Choi, M. D., T. Y. Lam, & Bruce Reznick. (1987). Even symmetric sextics. Mathematische Zeitschrift. 195(4). 559–580. 35 indexed citations
15.
Reznick, Bruce, Prasoon Tiwari, & Douglas B. West. (1985). Decomposition of product graphs into complete bipartite subgraphs. Discrete Mathematics. 57(1-2). 189–193. 8 indexed citations
16.
Reznick, Bruce. (1985). Some extremal problems for continued fractions. Illinois Journal of Mathematics. 29(2). 2 indexed citations
17.
Fitzpatrick, Simon & Bruce Reznick. (1983). Skewness in Banach spaces. Transactions of the American Mathematical Society. 275(2). 587–597. 3 indexed citations
18.
Reznick, Bruce. (1983). Continued fractions and an annelidic PDE. The Mathematical Intelligencer. 5(4). 61–63. 1 indexed citations
19.
McEliece, Robert J., Bruce Reznick, & James B. Shearer. (1981). A Turán Inequality Arising in Information Theory. SIAM Journal on Mathematical Analysis. 12(6). 931–934. 12 indexed citations
20.
Choi, M. D., T. Y. Lam, Bruce Reznick, & Alex Rosenberg. (1980). Sums of squares in some integral domains. Journal of Algebra. 65(1). 234–256. 20 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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