Victoria Powers

888 total citations
27 papers, 503 citations indexed

About

Victoria Powers is a scholar working on Geometry and Topology, Computational Theory and Mathematics and Algebra and Number Theory. According to data from OpenAlex, Victoria Powers has authored 27 papers receiving a total of 503 indexed citations (citations by other indexed papers that have themselves been cited), including 15 papers in Geometry and Topology, 15 papers in Computational Theory and Mathematics and 10 papers in Algebra and Number Theory. Recurrent topics in Victoria Powers's work include Polynomial and algebraic computation (10 papers), Advanced Differential Equations and Dynamical Systems (8 papers) and Algebraic Geometry and Number Theory (6 papers). Victoria Powers is often cited by papers focused on Polynomial and algebraic computation (10 papers), Advanced Differential Equations and Dynamical Systems (8 papers) and Algebraic Geometry and Number Theory (6 papers). Victoria Powers collaborates with scholars based in United States, Canada and Germany. Victoria Powers's co-authors include Bruce Reznick, Jiawang Nie, James Demmel, Eberhard Becker, Frank Sottile, Claus Scheiderer, Ha Q. Nguyen, John B. Ferris, R. W. Larson and Murray Marshall and has published in prestigious journals such as Computer, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

Victoria Powers

26 papers receiving 449 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Victoria Powers United States	11	255	195	129	116	93	27	503
Markus Schweighofer Germany	11	378 1.5×	316 1.6×	50 0.4×	69 0.6×	72 0.8×	22	477
Gilbert Stengle United States	9	179 0.7×	116 0.6×	68 0.5×	57 0.5×	50 0.5×	29	451
Leonid Faybusovich United States	17	611 2.4×	600 3.1×	188 1.5×	77 0.7×	76 0.8×	50	912
Bruce Reznick United States	16	487 1.9×	337 1.7×	113 0.9×	258 2.2×	136 1.5×	59	946
Nicholas P. Karampetakis Greece	13	216 0.8×	128 0.7×	142 1.1×	66 0.6×	24 0.3×	82	492
Ulrich Oberst Austria	18	338 1.3×	96 0.5×	265 2.1×	419 3.6×	319 3.4×	56	920
Manuel Bronstein France	16	503 2.0×	121 0.6×	49 0.4×	208 1.8×	130 1.4×	42	724
King-wah Eric Chu United Kingdom	10	328 1.3×	203 1.0×	90 0.7×	35 0.3×	25 0.3×	15	419
Haifeng Ma China	15	470 1.8×	180 0.9×	80 0.6×	33 0.3×	68 0.7×	54	622
Naomi Shaked-Monderer Israel	10	372 1.5×	229 1.2×	34 0.3×	57 0.5×	65 0.7×	30	572

Countries citing papers authored by Victoria Powers

Since Specialization

Citations

This map shows the geographic impact of Victoria Powers'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 Victoria Powers with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Victoria Powers more than expected).

Fields of papers citing papers by Victoria Powers

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Victoria Powers. 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 Victoria Powers. The network helps show where Victoria Powers may publish in the future.

Co-authorship network of co-authors of Victoria Powers

This figure shows the co-authorship network connecting the top 25 collaborators of Victoria Powers. A scholar is included among the top collaborators of Victoria Powers 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 Victoria Powers. Victoria Powers is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Powers, Victoria. (2021). Certificates of Positivity for Real Polynomials. 2 indexed citations

Powers, Victoria & Bruce Reznick. (2020). A note on mediated simplices. Journal of Pure and Applied Algebra. 225(7). 106608–106608. 4 indexed citations

Nguyen, Ha Q. & Victoria Powers. (2012). Polynomials non-negative on strips and half-strips. Journal of Pure and Applied Algebra. 216(10). 2225–2232. 2 indexed citations

Powers, Victoria, et al.. (2011). Pólya’s Theorem with zeros. Journal of Symbolic Computation. 46(9). 1039–1048. 4 indexed citations

Powers, Victoria, et al.. (2009). A quantitative Pólya’s Theorem with zeros. Journal of Symbolic Computation. 44(9). 1285–1290. 7 indexed citations

Demmel, James, Jiawang Nie, & Victoria Powers. (2006). Representations of positive polynomials on noncompact semialgebraic sets via KKT ideals. Journal of Pure and Applied Algebra. 209(1). 189–200. 34 indexed citations

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

Powers, Victoria. (2003). Positive polynomials and the moment problem for cylinders with compact cross-section. Journal of Pure and Applied Algebra. 188(1-3). 217–226. 10 indexed citations

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

10.

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

11.

Powers, Victoria, et al.. (1998). An algorithm for sums of squares of real polynomials. Journal of Pure and Applied Algebra. 127(1). 99–104. 130 indexed citations

12.

Powers, Victoria. (1996). Hilbert's 17th Problem and the Champagne Problem. American Mathematical Monthly. 103(10). 879–887. 3 indexed citations

13.

Powers, Victoria & Eberhard Becker. (1996). Sums of powers in rings and the real holomorphy ring.. Journal für die reine und angewandte Mathematik (Crelles Journal). 1996(480). 71–104. 19 indexed citations

14.

Powers, Victoria. (1995). Valuations and higher level orders in commutative rings. Journal of Algebra. 172(2). 255–272. 7 indexed citations

15.

Powers, Victoria. (1991). Holomorphy rings and higher level orders on skew fields. Journal of Algebra. 136(1). 51–59. 15 indexed citations

16.

Powers, Victoria. (1990). Higher level orders on noncommutative rings. Journal of Pure and Applied Algebra. 67(3). 285–298. 10 indexed citations

17.

Powers, Victoria. (1989). Finite Spaces of Signatures. Canadian Journal of Mathematics. 41(5). 808–829. 2 indexed citations

18.

Powers, Victoria, et al.. (1983). PRONTO: Quick PLA Product Reduction. Design Automation Conference. 545–552. 4 indexed citations

19.

Powers, Victoria, et al.. (1981). General microprogram width reduction using generator sets. ACM SIGMICRO newsletter/SIGMICRO newsletter/SIGMICRO, TCMICRO newsletter. 12(4). 144–153. 6 indexed citations

20.

Powers, Victoria, et al.. (1978). Microsystems Microprogram Assemblers for Bit Slice Microprocessors. Computer. 11(7). 108–120. 8 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.

Explore authors with similar magnitude of impact