Peter Walsh

461 total citations
54 papers, 258 citations indexed

About

Peter Walsh is a scholar working on Geometry and Topology, Algebra and Number Theory and Mathematical Physics. According to data from OpenAlex, Peter Walsh has authored 54 papers receiving a total of 258 indexed citations (citations by other indexed papers that have themselves been cited), including 23 papers in Geometry and Topology, 14 papers in Algebra and Number Theory and 12 papers in Mathematical Physics. Recurrent topics in Peter Walsh's work include Algebraic Geometry and Number Theory (19 papers), Analytic Number Theory Research (12 papers) and Mathematical Dynamics and Fractals (9 papers). Peter Walsh is often cited by papers focused on Algebraic Geometry and Number Theory (19 papers), Analytic Number Theory Research (12 papers) and Mathematical Dynamics and Fractals (9 papers). Peter Walsh collaborates with scholars based in Canada, Mexico and United States. Peter Walsh's co-authors include Florian Luca, Alain Togbé, Robert A. Wilson, Richard Parker, Stephen Linton, Robert S. P. Jones, Paul Voutier, Peter Sturmey, Ákos Pintér and Michael J. Jacobson and has published in prestigious journals such as Annals of Neurology, Mathematics of Computation and SIAM Journal on Computing.

In The Last Decade

Peter Walsh

46 papers receiving 213 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Peter Walsh Canada 9 95 82 61 48 38 54 258
Darren A. Narayan United States 10 66 0.7× 41 0.5× 87 1.4× 28 0.6× 19 0.5× 36 332
Michel Mendès France France 13 71 0.7× 103 1.3× 201 3.3× 133 2.8× 111 2.9× 39 447
Steven Galovich United States 10 101 1.1× 102 1.2× 47 0.8× 25 0.5× 54 1.4× 15 318
S. K. Jain United States 10 190 2.0× 281 3.4× 80 1.3× 18 0.4× 48 1.3× 63 429
John Ewing United States 10 201 2.1× 81 1.0× 49 0.8× 206 4.3× 18 0.5× 36 389
Ján Mináč Canada 12 361 3.8× 121 1.5× 34 0.6× 270 5.6× 26 0.7× 69 453
Titu Andreescu United States 9 63 0.7× 34 0.4× 23 0.4× 24 0.5× 10 0.3× 33 211
Kevin Walker United Kingdom 10 209 2.2× 23 0.3× 24 0.4× 182 3.8× 17 0.4× 23 490
L. Roth United Kingdom 6 172 1.8× 61 0.7× 82 1.3× 71 1.5× 13 0.3× 18 306
Ernst Snapper United States 10 108 1.1× 68 0.8× 71 1.2× 35 0.7× 38 1.0× 32 294

Countries citing papers authored by Peter Walsh

Since Specialization
Citations

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

Fields of papers citing papers by Peter Walsh

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Peter Walsh

This figure shows the co-authorship network connecting the top 25 collaborators of Peter Walsh. A scholar is included among the top collaborators of Peter Walsh 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 Peter Walsh. Peter Walsh 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.
Walsh, Peter. (2023). Squares in recurrences using elliptic curves. International Journal of Number Theory. 20(1). 221–228.
2.
Walsh, Peter, et al.. (2012). One hundred Latin hymns : Ambrose to Aquinas. Harvard University Press eBooks. 3 indexed citations
3.
Walsh, Peter. (2011). Maximal ranks and integer points on a family of elliptic curves II. Rocky Mountain Journal of Mathematics. 41(1). 2 indexed citations
4.
Walsh, Peter. (2009). On the number of large integer points on elliptic curves. Acta Arithmetica. 138(4). 317–327. 2 indexed citations
5.
Walsh, Peter. (2008). The relationship between sports participation and self-esteem during adolescence. eSource (Dublin Business School). 3 indexed citations
6.
Togbé, Alain, et al.. (2008). On the equation aX4-bY2=2. Acta Arithmetica. 131(2). 145–169. 1 indexed citations
7.
Togbé, Alain, Paul Voutier, & Peter Walsh. (2005). Solving a family of Thue equations with an application to the equation x2-Dy4=1. Acta Arithmetica. 120(1). 39–58. 15 indexed citations
8.
Walsh, Peter. (2005). Squares in Lucas Sequences with Rational Roots. Zenodo (CERN European Organization for Nuclear Research). 5(3).
9.
Jacobson, Michael J., Ákos Pintér, & Peter Walsh. (2003). A computational approach for solving $y^2=1^k+2^k+\dotsb+x^k$. Mathematics of Computation. 72(244). 2099–2111. 10 indexed citations
10.
Luca, Florian & Peter Walsh. (2002). The Product of Like-Indexed Terms in Binary Recurrences. Journal of Number Theory. 96(1). 152–173. 7 indexed citations
11.
Bray, John N., et al.. (2001). GENERATING MAXIMAL SUBGROUPS OF SPORADIC SIMPLE GROUPS. Communications in Algebra. 29(3). 1325–1337. 2 indexed citations
12.
Luca, Florian & Peter Walsh. (2001). A Generalization of a Theorem of Cohn on the Equation $x^3-Ny^2=\pm1$. Rocky Mountain Journal of Mathematics. 31(2). 1 indexed citations
13.
Walsh, Peter. (2000). Irreducibility testing over local fields. Mathematics of Computation. 69(231). 1183–1192. 1 indexed citations
14.
Clark, Michael, et al.. (2000). Assessment of clients with visual spatial disorders: a pilot study. 2(3). 129–142. 22 indexed citations
15.
Walsh, Peter. (1999). On two classes of simultaneous Pell equations with no solutions. Mathematics of Computation. 68(225). 385–388. 14 indexed citations
16.
Walsh, Peter. (1999). On the complexity of rational Puiseux expansions. Pacific Journal of Mathematics. 188(2). 369–387. 7 indexed citations
17.
Poorten, A. J. van der & Peter Walsh. (1999). A Note on Jacobi Symbols and Continued Fractions. American Mathematical Monthly. 106(1). 52–56. 5 indexed citations
18.
Wilson, Robert A., Peter Walsh, Richard Parker, & Stephen Linton. (1998). Computer construction of the Monster. Journal of Group Theory. 1(4). 18 indexed citations
19.
Robert, Robert, et al.. (1994). List of publications in ADCRP library / UNDCP..
20.
Walsh, Peter, et al.. (1976). Fabula: Trois etudes de mythographie antique et medievale. The Modern Language Review. 71(3). 654–654. 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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