William J. Firey

867 total citations
21 papers, 570 citations indexed

About

William J. Firey is a scholar working on Applied Mathematics, Geometry and Topology and Computer Graphics and Computer-Aided Design. According to data from OpenAlex, William J. Firey has authored 21 papers receiving a total of 570 indexed citations (citations by other indexed papers that have themselves been cited), including 14 papers in Applied Mathematics, 8 papers in Geometry and Topology and 4 papers in Computer Graphics and Computer-Aided Design. Recurrent topics in William J. Firey's work include Point processes and geometric inequalities (13 papers), Mathematics and Applications (7 papers) and Computational Geometry and Mesh Generation (4 papers). William J. Firey is often cited by papers focused on Point processes and geometric inequalities (13 papers), Mathematics and Applications (7 papers) and Computational Geometry and Mesh Generation (4 papers). William J. Firey collaborates with scholars based in United States, Israel and New Zealand. William J. Firey's co-authors include Branko Grünbaum and H. Groemer and has published in prestigious journals such as Annals of the New York Academy of Sciences, Transactions of the American Mathematical Society and American Mathematical Monthly.

In The Last Decade

William J. Firey

21 papers receiving 371 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
William J. Firey United States 12 369 195 83 69 45 21 570
Kurt Leichtweiß Germany 9 335 0.9× 186 1.0× 77 0.9× 55 0.8× 40 0.9× 27 503
А. В. Погорелов Russia 7 673 1.8× 496 2.5× 107 1.3× 97 1.4× 109 2.4× 32 877
Erhard Heinz Germany 17 835 2.3× 445 2.3× 285 3.4× 198 2.9× 31 0.7× 37 1.0k
T. Duchamp United States 11 100 0.3× 109 0.6× 15 0.2× 73 1.1× 45 1.0× 19 360
G. R. Burton United Kingdom 13 514 1.4× 79 0.4× 228 2.7× 158 2.3× 13 0.3× 35 663
Morton L. Curtis United States 12 63 0.2× 247 1.3× 82 1.0× 224 3.2× 14 0.3× 39 437
Chuan-Chih Hsiung United States 9 255 0.7× 175 0.9× 36 0.4× 64 0.9× 135 3.0× 40 378
Katsuhiro Shiohama Japan 17 747 2.0× 608 3.1× 77 0.9× 156 2.3× 257 5.7× 67 902
David Groisser United States 11 94 0.3× 135 0.7× 40 0.5× 61 0.9× 48 1.1× 27 347
Farid Tari United Kingdom 14 312 0.8× 283 1.5× 71 0.9× 73 1.1× 80 1.8× 60 521

Countries citing papers authored by William J. Firey

Since Specialization
Citations

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

Fields of papers citing papers by William J. Firey

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by William J. Firey. 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 William J. Firey. The network helps show where William J. Firey may publish in the future.

Co-authorship network of co-authors of William J. Firey

This figure shows the co-authorship network connecting the top 25 collaborators of William J. Firey. A scholar is included among the top collaborators of William J. Firey 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 William J. Firey. William J. Firey 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.
Firey, William J.. (1985). THE INTEGRAL‐GEOMETRIC DENSITIES OF TANGENT FLATS TO CONVEX BODIESa. Annals of the New York Academy of Sciences. 440(1). 92–96. 3 indexed citations
2.
Firey, William J.. (1976). A functional characterization of certain mixed volumes. Israel Journal of Mathematics. 24(3-4). 274–281. 5 indexed citations
3.
Firey, William J.. (1974). Shapes of worn stones. Mathematika. 21(1). 1–11. 163 indexed citations
4.
Firey, William J.. (1974). Approximating convex bodies by algebraic ones. Archiv der Mathematik. 25(1). 424–425. 11 indexed citations
5.
Firey, William J.. (1974). Kinematic measures for sets of support figures. Mathematika. 21(2). 270–281. 18 indexed citations
6.
Firey, William J.. (1972). An integral‐geometric meaning for lower order area functions of convex bodies. Mathematika. 19(2). 205–212. 14 indexed citations
7.
Firey, William J.. (1970). Local behaviour of area functions of convex bodies. Pacific Journal of Mathematics. 35(2). 345–357. 39 indexed citations
8.
Firey, William J.. (1970). Convex bodies of constant outerp‐measure. Mathematika. 17(1). 21–27. 6 indexed citations
9.
Firey, William J.. (1968). Christoffel's problem for general convex bodies. Mathematika. 15(1). 7–21. 29 indexed citations
10.
Firey, William J.. (1967). Some means of convex bodies. Transactions of the American Mathematical Society. 129(2). 181–217. 6 indexed citations
11.
Firey, William J.. (1967). The determination of convex bodies from their mean radius of curvature functions. Mathematika. 14(1). 1–13. 38 indexed citations
12.
Firey, William J.. (1965). Lower bounds for volumes of convex bodies. Archiv der Mathematik. 16(1). 69–74. 10 indexed citations
13.
Firey, William J. & Branko Grünbaum. (1964). Addition and decomposition of convex polytopes. Israel Journal of Mathematics. 2(2). 91–100. 14 indexed citations
14.
Firey, William J.. (1964). Some applications of means of convex bodies. Pacific Journal of Mathematics. 14(1). 53–60. 46 indexed citations
15.
Firey, William J. & H. Groemer. (1964). Convex Polyhedra Which Cover a Convex Set. Journal of the London Mathematical Society. s1-39(1). 261–266. 2 indexed citations
16.
Firey, William J.. (1961). Mean cross-section measures of harmonic means of convex bodies. Pacific Journal of Mathematics. 11(4). 1263–1266. 59 indexed citations
17.
Firey, William J.. (1961). Line Integrals of Exact Differentials. American Mathematical Monthly. 68(1). 57–57. 1 indexed citations
18.
Firey, William J.. (1961). Polar Means of Convex Bodies and a Dual to the Brunn-Minkowski Theorem. Canadian Journal of Mathematics. 13. 444–453. 46 indexed citations
19.
Firey, William J.. (1960). Remainder Formulae in Taylor's Theorem. American Mathematical Monthly. 67(9). 903–903. 7 indexed citations
20.
Firey, William J.. (1960). Isoperimetric ratios of Reuleaux polygons. Pacific Journal of Mathematics. 10(3). 823–829. 43 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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