David A. Cox

5.4k total citations · 3 hit papers
48 papers, 2.3k citations indexed

About

David A. Cox is a scholar working on Geometry and Topology, Algebra and Number Theory and Computational Theory and Mathematics. According to data from OpenAlex, David A. Cox has authored 48 papers receiving a total of 2.3k indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Geometry and Topology, 20 papers in Algebra and Number Theory and 18 papers in Computational Theory and Mathematics. Recurrent topics in David A. Cox's work include Algebraic Geometry and Number Theory (27 papers), Polynomial and algebraic computation (18 papers) and Commutative Algebra and Its Applications (16 papers). David A. Cox is often cited by papers focused on Algebraic Geometry and Number Theory (27 papers), Polynomial and algebraic computation (18 papers) and Commutative Algebra and Its Applications (16 papers). David A. Cox collaborates with scholars based in United States, Germany and Netherlands. David A. Cox's co-authors include John B. Little, Donal O’Shea, Hal Schenck, Victor V. Batyrev, Steven W. Zucker, Thomas W. Sederberg, Falai Chen, Walter Parry, Jerry Shurman and Ron Donagi and has published in prestigious journals such as Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences, Inventiones mathematicae and American Mathematical Monthly.

In The Last Decade

David A. Cox

46 papers receiving 2.1k citations

Hit Papers

align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Using Algebraic Geometry

2005 854 citations David A. Cox, John B. Little et al. profile →
Toric Varieties

2011 379 citations David A. Cox, John B. Little et al. Graduate studies in mathematics profile →
Ideals, Varieties, and Algorithms

2015 287 citations David A. Cox, John B. Little et al. profile →

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
David A. Cox United States	15	1.0k	1.0k	599	423	342	48	2.3k
Shmuel Friedland United States	30	1.7k 1.6×	919 0.9×	332 0.6×	255 0.6×	641 1.9×	198	3.5k
Peter Borwein Canada	28	810 0.8×	882 0.9×	1.1k 1.8×	145 0.3×	615 1.8×	179	3.7k
Marie-Françoise Roy France	17	1.5k 1.4×	481 0.5×	372 0.6×	493 1.2×	115 0.3×	57	2.1k
Saugata Basu United States	15	1.3k 1.2×	434 0.4×	313 0.5×	387 0.9×	137 0.4×	76	1.9k
Bruno Buchberger Austria	19	1.5k 1.4×	674 0.7×	609 1.0×	416 1.0×	106 0.3×	65	2.4k
Igor R. Shafarevich Russia	18	578 0.6×	1.2k 1.2×	454 0.8×	156 0.4×	625 1.8×	61	1.9k
Andrew J. Sommese United States	31	1.5k 1.5×	1.6k 1.6×	616 1.0×	1.0k 2.4×	838 2.5×	162	3.8k
Richard Pollack United States	25	1.5k 1.4×	537 0.5×	256 0.4×	539 1.3×	123 0.4×	76	3.0k
H. Stärk United States	26	367 0.3×	697 0.7×	458 0.8×	194 0.5×	371 1.1×	112	2.4k
Peter McMullen United Kingdom	29	791 0.8×	1.0k 1.0×	416 0.7×	121 0.3×	304 0.9×	115	2.9k

Countries citing papers authored by David A. Cox

Since Specialization

Citations

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

Fields of papers citing papers by David A. Cox

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by David A. Cox. 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 David A. Cox. The network helps show where David A. Cox may publish in the future.

Co-authorship network of co-authors of David A. Cox

This figure shows the co-authorship network connecting the top 25 collaborators of David A. Cox. A scholar is included among the top collaborators of David A. Cox 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 David A. Cox. David A. Cox 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

1.

Cox, David A., et al.. (2023). Twitter (X) in Medicine: Friend or Foe to the Field of Interventional Cardiology?. Journal of the Society for Cardiovascular Angiography & Interventions. 2(6). 101136–101136. 2 indexed citations

2.

Cox, David A.. (2011). Why Eisenstein Proved the Eisenstein Criterion and Why Schönemann Discovered It First. American Mathematical Monthly. 118(1). 3–21. 8 indexed citations

3.

Cox, David A., John B. Little, & Hal Schenck. (2011). Toric Varieties. Graduate studies in mathematics. 379 indexed citations breakdown →

4.

Cox, David A., John B. Little, & Donal O’Shea. (2007). Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, 3/e (Undergraduate Texts in Mathematics). Springer eBooks. 244 indexed citations

5.

Cox, David A.. (2007). The moving curve ideal and the Rees algebra. Theoretical Computer Science. 392(1-3). 23–36. 24 indexed citations

6.

Cox, David A.. (2007). Bezoutians and Tate resolutions. Journal of Algebra. 311(2). 606–618. 4 indexed citations

7.

Cattani, Eduardo, David A. Cox, Alicia Dickenstein, et al.. (2005). Solving Polynomial Equations: Foundations, Algorithms, and Applications (Algorithms and Computation in Mathematics). Springer eBooks. 12 indexed citations

8.

Cox, David A.. (2005). What is the Role of Algebra in Applied Mathematics. 3 indexed citations

9.

Cox, David A., J. C. R. Hunt, Paul M. Mason, H. S. Wheater, & Peter Wolf. (2002). Philosophical Transactions of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences: 360 (1796). Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences. 360(1796). 1 indexed citations

10.

Cox, David A., Bernd Sturmfels, & Dinesh Manocha. (1998). Applications of computational algebraic geometry : American Mathematical Society short course, January 6-7, 1997, San Diego, California. American Mathematical Society eBooks. 6 indexed citations

11.

Cox, David A., Thomas W. Sederberg, & Falai Chen. (1998). The moving line ideal basis of planar rational curves. Computer Aided Geometric Design. 15(8). 803–827. 100 indexed citations

12.

Cox, David A.. (1994). Toric Residues. arXiv (Cornell University). 29 indexed citations

13.

Cox, David A.. (1993). The Homogeneous coordinate ring of a toric variety, revised version. arXiv (Cornell University). 20 indexed citations

14.

Cox, David A. & Mark L. Green. (1990). Polynomial structures and generic Torelli for projective hypersurfaces. Compositio Mathematica. 73(2). 121–124. 3 indexed citations

15.

Cox, David A.. (1990). The Noether-Lefschetz Locus of Regular Elliptic Surfaces with Section and p g ≥2. American Journal of Mathematics. 112(2). 289–289. 5 indexed citations

16.

Cox, David A. & Walter Parry. (1980). Torsion in elliptic curves over $k(t)$. Compositio Mathematica. 41(3). 337–354. 17 indexed citations

17.

Cox, David A.. (1979). Homotopy theory of simplicial schemes. Compositio Mathematica. 39(3). 263–296. 2 indexed citations

18.

Cox, David A. & Steven W. Zucker. (1979). Intersection numbers of sections of elliptic surfaces. Inventiones mathematicae. 53(1). 1–44. 67 indexed citations

19.

Cox, David A.. (1978). Algebraic tubular neighbourhoods I.. MATHEMATICA SCANDINAVICA. 42. 211–211. 6 indexed citations

20.

Cox, David A.. (1974). Tubular neighborhoods in the etale topology. Xerox University Microfilms eBooks. 1 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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