Richard Elman

1.5k total citations · 1 hit paper
32 papers, 906 citations indexed

About

Richard Elman is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Richard Elman has authored 32 papers receiving a total of 906 indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Geometry and Topology, 13 papers in Algebra and Number Theory and 10 papers in Mathematical Physics. Recurrent topics in Richard Elman's work include Algebraic Geometry and Number Theory (17 papers), Advanced Differential Equations and Dynamical Systems (8 papers) and History and Theory of Mathematics (7 papers). Richard Elman is often cited by papers focused on Algebraic Geometry and Number Theory (17 papers), Advanced Differential Equations and Dynamical Systems (8 papers) and History and Theory of Mathematics (7 papers). Richard Elman collaborates with scholars based in United States, Iceland and Germany. Richard Elman's co-authors include T. Y. Lam, Nikita A. Karpenko, Alexander Merkurjev, Bill Jacob, Jón Kr. Arason, Alexander Prestel, Adrian R. Wadsworth, Jean-Pierre Tignol, Murray Schacher and V. S. Varadarajan and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and American Journal of Mathematics.

In The Last Decade

Richard Elman

31 papers receiving 743 citations

Hit Papers

The Algebraic and Geometric Theory of Quadratic Forms 2008 2026 2014 2020 2008 50 100 150 200
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.

  1. The Algebraic and Geometric Theory of Quadratic Forms
    2008 220 citations Richard Elman, Nikita A. Karpenko et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Richard Elman United States 16 786 446 333 135 129 32 906
Paul Monsky United States 15 622 0.8× 357 0.8× 385 1.2× 150 1.1× 82 0.6× 51 761
A. P. Ogg United States 13 532 0.7× 408 0.9× 363 1.1× 101 0.7× 94 0.7× 21 703
J. S. Hsia United States 13 295 0.4× 276 0.6× 265 0.8× 104 0.8× 110 0.9× 49 571
Christian U. Jensen Denmark 12 452 0.6× 221 0.5× 464 1.4× 145 1.1× 54 0.4× 49 698
Jean-Jacques Sansuc France 12 855 1.1× 608 1.4× 263 0.8× 171 1.3× 121 0.9× 17 922
Adrian R. Wadsworth United States 18 702 0.9× 332 0.7× 584 1.8× 169 1.3× 155 1.2× 71 949
Phillip Griffith United States 16 785 1.0× 205 0.5× 763 2.3× 195 1.4× 82 0.6× 58 1.0k
Hans Peter Schlickewei Germany 14 383 0.5× 218 0.5× 272 0.8× 179 1.3× 127 1.0× 44 604
Peter Roquette Germany 13 400 0.5× 249 0.6× 191 0.6× 96 0.7× 139 1.1× 48 579
Helga Schirmer Canada 15 342 0.4× 272 0.6× 139 0.4× 145 1.1× 49 0.4× 46 563

Countries citing papers authored by Richard Elman

Since Specialization
Citations

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

Fields of papers citing papers by Richard Elman

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Richard Elman

This figure shows the co-authorship network connecting the top 25 collaborators of Richard Elman. A scholar is included among the top collaborators of Richard Elman 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 Richard Elman. Richard Elman 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.
Elman, Richard, Nikita A. Karpenko, & Alexander Merkurjev. (2008). The Algebraic and Geometric Theory of Quadratic Forms. 220 indexed citations breakdown →
2.
Arason, Jón Kr. & Richard Elman. (2001). Powers of the Fundamental Ideal in the Witt Ring. Journal of Algebra. 239(1). 150–160. 18 indexed citations
3.
Elman, Richard, et al.. (1993). Linear Algebraic Groups and Their Representations. Contemporary mathematics - American Mathematical Society. 15 indexed citations
4.
Arason, Jón Kr., Richard Elman, & Bill Jacob. (1992). On indecomposable vector bundles. Communications in Algebra. 20(5). 1323–1351. 14 indexed citations
5.
Arason, Jón Kr., Richard Elman, & Bill Jacob. (1989). The Graded Witt Ring and Galois Cohomology. II. Transactions of the American Mathematical Society. 314(2). 745–745. 1 indexed citations
6.
Arason, Jón Kr., Richard Elman, & Bill Jacob. (1989). The graded Witt ring and Galois cohomology. II. Transactions of the American Mathematical Society. 314(2). 745–745. 14 indexed citations
7.
Arason, Jón Kr., Richard Elman, & Bill Jacob. (1989). On quadratic forms and Galois cohomology. Rocky Mountain Journal of Mathematics. 19(3). 3 indexed citations
8.
Arason, Jón Kr., Richard Elman, & Bill Jacob. (1987). Rigid elements, valuations, and realization of Witt rings. Journal of Algebra. 110(2). 449–467. 33 indexed citations
9.
Elman, Richard & Adrian R. Wadsworth. (1987). Hereditarily quadratically closed fields. Journal of Algebra. 111(2). 475–482. 8 indexed citations
10.
Elman, Richard, et al.. (1986). Fields of cohomological 2-dimension three. Mathematische Annalen. 274(4). 649–657. 33 indexed citations
11.
Elman, Richard, et al.. (1985). Graded witt rings of elementary type. Mathematische Annalen. 272(2). 267–280. 6 indexed citations
12.
Elman, Richard. (1982). On arason's theory of galois cohomology. Communications in Algebra. 10(13). 1449–1474. 2 indexed citations
13.
Elman, Richard & T. Y. Lam. (1974). Classification theorems for quadratic forms over fields. Commentarii Mathematici Helvetici. 49(1). 373–381. 35 indexed citations
14.
Elman, Richard & T. Y. Lam. (1973). Pfister forms and their applications. Journal of Number Theory. 5(5). 367–378. 1 indexed citations
15.
Elman, Richard & T. Y. Lam. (1973). Quadratic forms and theu-invariant. I. Mathematische Zeitschrift. 131(4). 283–304. 55 indexed citations
16.
Elman, Richard. (1973). Rund forms over real algebraic function fields in one variable. Proceedings of the American Mathematical Society. 41(2). 431–436. 2 indexed citations
17.
Elman, Richard. (1973). Rund Forms Over Real Algebraic Function Fields in One Variable. Proceedings of the American Mathematical Society. 41(2). 431–431.
18.
Elman, Richard & T. Y. Lam. (1972). Pfister forms and K-theory of fields. Journal of Algebra. 23(1). 181–213. 99 indexed citations
19.
Elman, Richard & T. Y. Lam. (1972). Quadratic Forms Over Formally Real Fields and Pythagorean Fields. American Journal of Mathematics. 94(4). 1155–1155. 87 indexed citations
20.
Elman, Richard & T. Y. Lam. (1972). Determination of 𝑘_{𝑛}(𝑛≥3) for global fields. Proceedings of the American Mathematical Society. 31(2). 427–428. 4 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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