David M. Topping

709 total citations
19 papers, 497 citations indexed

About

David M. Topping is a scholar working on Algebra and Number Theory, Computational Theory and Mathematics and Mathematical Physics. According to data from OpenAlex, David M. Topping has authored 19 papers receiving a total of 497 indexed citations (citations by other indexed papers that have themselves been cited), including 12 papers in Algebra and Number Theory, 12 papers in Computational Theory and Mathematics and 8 papers in Mathematical Physics. Recurrent topics in David M. Topping's work include Advanced Topics in Algebra (10 papers), Matrix Theory and Algorithms (8 papers) and Advanced Operator Algebra Research (5 papers). David M. Topping is often cited by papers focused on Advanced Topics in Algebra (10 papers), Matrix Theory and Algorithms (8 papers) and Advanced Operator Algebra Research (5 papers). David M. Topping collaborates with scholars based in United States. David M. Topping's co-authors include Carl Pearcy, Peter Fillmore and Arlen Brown and has published in prestigious journals such as Transactions of the American Mathematical Society, Journal of Functional Analysis and Pacific Journal of Mathematics.

In The Last Decade

David M. Topping

17 papers receiving 358 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
David M. Topping United States 10 340 289 192 140 101 19 497
Ichirô Amemiya Japan 11 105 0.3× 162 0.6× 107 0.6× 92 0.7× 101 1.0× 29 361
Helmut Röhrl United States 13 147 0.4× 187 0.6× 62 0.3× 131 0.9× 246 2.4× 32 428
Zirô Takeda Japan 10 158 0.5× 164 0.6× 95 0.5× 54 0.4× 75 0.7× 23 285
W. E. Longstaff Australia 13 475 1.4× 303 1.0× 248 1.3× 163 1.2× 211 2.1× 64 607
John Dauns United States 17 496 1.5× 206 0.7× 202 1.1× 96 0.7× 329 3.3× 53 737
Walter Roelcke Germany 10 189 0.6× 336 1.2× 51 0.3× 83 0.6× 257 2.5× 24 474
A. J. Ellis United Kingdom 8 102 0.3× 143 0.5× 88 0.5× 71 0.5× 71 0.7× 27 266
Eckford Cohen United States 12 237 0.7× 113 0.4× 87 0.5× 92 0.7× 116 1.1× 74 487
Alessandro Figà-Talamanca Italy 15 151 0.4× 437 1.5× 93 0.5× 236 1.7× 148 1.5× 33 598
Nicolae Popescu Romania 12 421 1.2× 298 1.0× 87 0.5× 64 0.5× 498 4.9× 55 691

Countries citing papers authored by David M. Topping

Since Specialization
Citations

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

Fields of papers citing papers by David M. Topping

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of David M. Topping

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

All Works

19 of 19 papers shown
1.
Topping, David M.. (1971). Lectures on von Neumann algebras. CERN Document Server (European Organization for Nuclear Research). 32 indexed citations
2.
Pearcy, Carl & David M. Topping. (1971). On commutators in ideals of compact operators.. The Michigan Mathematical Journal. 18(3). 27 indexed citations
3.
Fillmore, Peter & David M. Topping. (1969). Sums of irreducible operators. Proceedings of the American Mathematical Society. 20(1). 131–133. 4 indexed citations
4.
Pearcy, Carl & David M. Topping. (1969). Commutators and certain II1-factors. Journal of Functional Analysis. 3(1). 69–78. 16 indexed citations
5.
Fillmore, Peter & David M. Topping. (1969). A Direct Integral Decomposition for Certain Operator Algebras. American Journal of Mathematics. 91(1). 11–11. 1 indexed citations
6.
Fillmore, Peter & David M. Topping. (1969). Sums of Irreducible Operators. Proceedings of the American Mathematical Society. 20(1). 131–131. 3 indexed citations
7.
Topping, David M.. (1968). On linear combinations of special operators. Journal of Algebra. 10(4). 516–521. 4 indexed citations
8.
Brown, Arlen, Carl Pearcy, & David M. Topping. (1968). Commutators and the strong radical. Duke Mathematical Journal. 35(4). 9 indexed citations
9.
Topping, David M.. (1968). Transcendental quasi-nilpotents in operator algebras. Journal of Functional Analysis. 2(3). 342–351. 5 indexed citations
10.
Topping, David M.. (1968). UHF Algebras are Singly Generated.. MATHEMATICA SCANDINAVICA. 22. 224–224. 7 indexed citations
11.
Fillmore, Peter & David M. Topping. (1967). Operator algebras generated by projections. Duke Mathematical Journal. 34(2). 19 indexed citations
12.
Pearcy, Carl & David M. Topping. (1967). Sums of small numbers of idempotents.. The Michigan Mathematical Journal. 14(4). 125 indexed citations
13.
Topping, David M.. (1967). Asymptoticity and semimodularity in projection lattices. Pacific Journal of Mathematics. 20(2). 317–325. 22 indexed citations
14.
Topping, David M.. (1965). Vector Lattices of Self-Adjoint Operators. Transactions of the American Mathematical Society. 115. 14–14. 6 indexed citations
15.
Topping, David M.. (1965). Jordan algebras of self-adjoint operators. Memoirs of the American Mathematical Society. 0(53). 0–0. 74 indexed citations
16.
Topping, David M.. (1965). Jordan algebras of self-adjoint operators. Bulletin of the American Mathematical Society. 71(1). 160–164. 107 indexed citations
17.
Topping, David M.. (1965). Some Homological Pathology in Vector Lattices. Canadian Journal of Mathematics. 17. 411–428. 21 indexed citations
18.
Topping, David M.. (1965). Vector lattices of self-adjoint operators. Transactions of the American Mathematical Society. 115(0). 14–30. 13 indexed citations
19.
Topping, David M.. (1963). Vector lattices of self-adjoint operators. Bulletin of the American Mathematical Society. 69(2). 251–255. 2 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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