Ian Richards

1.2k total citations
31 papers, 670 citations indexed

About

Ian Richards is a scholar working on Computational Theory and Mathematics, Algebra and Number Theory and Geometry and Topology. According to data from OpenAlex, Ian Richards has authored 31 papers receiving a total of 670 indexed citations (citations by other indexed papers that have themselves been cited), including 11 papers in Computational Theory and Mathematics, 8 papers in Algebra and Number Theory and 7 papers in Geometry and Topology. Recurrent topics in Ian Richards's work include Computability, Logic, AI Algorithms (7 papers), Analytic Number Theory Research (6 papers) and Mathematics and Applications (5 papers). Ian Richards is often cited by papers focused on Computability, Logic, AI Algorithms (7 papers), Analytic Number Theory Research (6 papers) and Mathematics and Applications (5 papers). Ian Richards collaborates with scholars based in United States and Austria. Ian Richards's co-authors include Marian Boykan Pour‐El, Albert Marden, Douglas Hensley, Burt Rodin, Burton Rodin and Donald J. Newman and has published in prestigious journals such as Transactions of the American Mathematical Society, American Mathematical Monthly and Advances in Mathematics.

In The Last Decade

Ian Richards

27 papers receiving 522 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Ian Richards United States 12 349 194 181 167 101 31 670
Roman Sikorski United States 12 208 0.6× 149 0.8× 74 0.4× 237 1.4× 116 1.1× 44 617
K. R. Parthasarathy India 12 203 0.6× 121 0.6× 94 0.5× 161 1.0× 67 0.7× 39 533
Michael Beeson United States 13 562 1.6× 218 1.1× 475 2.6× 121 0.7× 77 0.8× 50 899
Lynn H. Loomis 5 180 0.5× 155 0.8× 43 0.2× 397 2.4× 217 2.1× 6 778
Lee A. Rubel United States 22 405 1.2× 459 2.4× 113 0.6× 388 2.3× 710 7.0× 146 1.5k
William Hobson Mills United States 14 136 0.4× 171 0.9× 222 1.2× 113 0.7× 47 0.5× 25 620
Karl Petersen United States 13 233 0.7× 141 0.7× 51 0.3× 479 2.9× 132 1.3× 44 713
Max Koecher Germany 17 214 0.6× 392 2.0× 53 0.3× 317 1.9× 195 1.9× 42 1.0k
N. L. Biggs United Kingdom 17 283 0.8× 204 1.1× 155 0.9× 136 0.8× 17 0.2× 34 718
J. Arthur Seebach United States 4 217 0.6× 338 1.7× 56 0.3× 219 1.3× 41 0.4× 6 642

Countries citing papers authored by Ian Richards

Since Specialization
Citations

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

Fields of papers citing papers by Ian Richards

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Ian Richards

This figure shows the co-authorship network connecting the top 25 collaborators of Ian Richards. A scholar is included among the top collaborators of Ian Richards 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 Ian Richards. Ian Richards 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.
Richards, Ian, et al.. (2000). LOCALIZATION AND MULTIPLICATION OF DISTRIBUTIONS. Journal of the Korean Mathematical Society. 37(3). 371–389. 1 indexed citations
2.
Richards, Ian. (1985). Characters of groups with quotients of odd order. Journal of Algebra. 96(1). 45–47. 2 indexed citations
3.
Richards, Ian. (1984). Proof without words: Sum of Integers. Mathematics Magazine. 57(2). 104–104. 2 indexed citations
4.
Pour‐El, Marian Boykan & Ian Richards. (1984). 𝐿^{𝑝}-computability in recursive analysis. Proceedings of the American Mathematical Society. 92(1). 93–97. 7 indexed citations
5.
Pour‐El, Marian Boykan & Ian Richards. (1983). Computability and noncomputability in classical analysis. Transactions of the American Mathematical Society. 275(2). 539–560. 46 indexed citations
6.
Pour‐El, Marian Boykan & Ian Richards. (1983). Noncomputability in analysis and physics: A complete determination of the class of noncomputable linear operators. Advances in Mathematics. 48(1). 44–74. 31 indexed citations
7.
Richards, Ian. (1982). On the gaps between numbers which are sums of two squares. Advances in Mathematics. 46(1). 1–2. 40 indexed citations
8.
Pour‐El, Marian Boykan & Ian Richards. (1981). The wave equation with computable initial data such that its unique solution is not computable. Advances in Mathematics. 39(3). 215–239. 139 indexed citations
9.
Richards, Ian. (1980). On the normal density of primes in short intervals. Journal of Number Theory. 12(3). 378–384. 2 indexed citations
10.
Richards, Ian, et al.. (1979). A computable ordinary differential equation which possesses no computable solution. Annals of Mathematical Logic. 17(1-2). 61–90. 82 indexed citations
11.
Pour‐El, Marian Boykan & Ian Richards. (1978). Differentiability properties of computable functions - a summary.. Acta Cybernetica. 4. 123–125. 5 indexed citations
12.
Newman, Donald J. & Ian Richards. (1978). Finite measures designed for accuracy on arithmetic progressions. Journal of Number Theory. 10(4). 385–394.
13.
Richards, Ian. (1974). An application of Galois theory to elementary arithmetic. Advances in Mathematics. 13(3). 268–273. 25 indexed citations
14.
Hensley, Douglas & Ian Richards. (1974). Primes in intervals. Acta Arithmetica. 25(4). 375–391. 21 indexed citations
15.
Richards, Ian. (1970). Axioms for analytic functions. Advances in Mathematics. 5(3). 311–338. 7 indexed citations
16.
Richards, Ian. (1967). A criterion for rings of analytic functions. Transactions of the American Mathematical Society. 128(3). 523–530. 4 indexed citations
17.
Richards, Ian. (1967). On the disproof of spectral synthesis. Journal of Combinatorial Theory. 2(1). 61–70. 1 indexed citations
18.
Marden, Albert, Ian Richards, & Burt Rodin. (1967). Analytic self-mappings of Riemann surfaces. Journal d Analyse Mathématique. 18(1). 197–225. 26 indexed citations
19.
Richards, Ian. (1963). On the classification of noncompact surfaces. Transactions of the American Mathematical Society. 106(2). 259–269. 123 indexed citations
20.
Richards, Ian. (1959). A note on the Daniell integral. Rendiconti del Seminario Matematico della Università di Padova. 29. 401–410.

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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