John Abbott

489 total citations
23 papers, 152 citations indexed

About

John Abbott is a scholar working on Computational Theory and Mathematics, Artificial Intelligence and Electrical and Electronic Engineering. According to data from OpenAlex, John Abbott has authored 23 papers receiving a total of 152 indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Computational Theory and Mathematics, 9 papers in Artificial Intelligence and 6 papers in Electrical and Electronic Engineering. Recurrent topics in John Abbott's work include Polynomial and algebraic computation (13 papers), graph theory and CDMA systems (6 papers) and Commutative Algebra and Its Applications (5 papers). John Abbott is often cited by papers focused on Polynomial and algebraic computation (13 papers), graph theory and CDMA systems (6 papers) and Commutative Algebra and Its Applications (5 papers). John Abbott collaborates with scholars based in Italy, Germany and United Kingdom. John Abbott's co-authors include Anna Maria Bigatti, Lorenzo Robbiano, Martin Kreuzer, Manuel Bronstein, Russell Bradford, James H. Davenport, Victor Shoup, Paul Zimmermann, Andreas Strotmann and Alessandro Cimatti and has published in prestigious journals such as Mathematics of Computation, Journal of Symbolic Computation and Experimental Mathematics.

In The Last Decade

John Abbott

18 papers receiving 128 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
John Abbott Italy 7 107 47 34 33 15 23 152
A. L. Chistov Russia 8 177 1.7× 68 1.4× 34 1.0× 66 2.0× 102 6.8× 36 218
Clément Pernet France 5 65 0.6× 45 1.0× 10 0.3× 8 0.2× 8 0.5× 20 99
Pablo Solernó Argentina 9 197 1.8× 37 0.8× 55 1.6× 83 2.5× 66 4.4× 22 244
Olivier Ruatta France 6 44 0.4× 57 1.2× 20 0.6× 8 0.2× 5 0.3× 13 116
Guillermo Matera Argentina 9 190 1.8× 100 2.1× 75 2.2× 78 2.4× 80 5.3× 32 249
William A. Adkins United States 8 78 0.7× 15 0.3× 26 0.8× 97 2.9× 83 5.5× 20 236
Xiumin Du United States 6 35 0.3× 37 0.8× 9 0.3× 10 0.3× 25 1.7× 9 212
Youming Qiao Australia 8 97 0.9× 76 1.6× 5 0.1× 20 0.6× 39 2.6× 32 177
Takeshi Shimoyama Japan 6 103 1.0× 121 2.6× 11 0.3× 44 1.3× 39 2.6× 28 205
Hervé Fournier France 8 107 1.0× 48 1.0× 10 0.3× 10 0.3× 30 2.0× 19 153

Countries citing papers authored by John Abbott

Since Specialization
Citations

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

Fields of papers citing papers by John Abbott

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of John Abbott

This figure shows the co-authorship network connecting the top 25 collaborators of John Abbott. A scholar is included among the top collaborators of John Abbott 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 John Abbott. John Abbott 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.
Abbott, John, Anna Maria Bigatti, & Lorenzo Robbiano. (2018). Ideals modulo p. arXiv (Cornell University).
2.
Abbott, John & Anna Maria Bigatti. (2018). CoCoA-5.2.2 and CoCoALib. ACM communications in computer algebra. 51(3). 95–97.
3.
Abbott, John. (2016). Fault-tolerant modular reconstruction of rational numbers. Journal of Symbolic Computation. 80. 707–718.
4.
Abbott, John & Anna Maria Bigatti. (2016). CoCoA and CoCoALib: Fast Prototyping and Flexible C++ Library for Computations in Commutative Algebra.. CINECA IRIS Institutial Research Information System (University of Genoa). 1–3. 4 indexed citations
5.
Abbott, John. (2014). Quadratic interval refinement for real roots. ACM communications in computer algebra. 48(1/2). 3–12. 8 indexed citations
6.
Abbott, John. (2012). Bounds on factors in Z[x]. Journal of Symbolic Computation. 50. 532–563. 2 indexed citations
7.
Abbott, John & Anna Maria Bigatti. (2012). New Flavours of CoCoA. CINECA IRIS Institutial Research Information System (University of Genoa). 26(1). 9–12.
8.
Abbott, John. (2011). Twin-float arithmetic. Journal of Symbolic Computation. 47(5). 536–551. 2 indexed citations
9.
Abbott, John, et al.. (2008). Stable border bases for ideals of points. Journal of Symbolic Computation. 43(12). 883–894. 16 indexed citations
10.
Abbott, John, et al.. (2007). Notes on Stable Border Bases. arXiv (Cornell University). 2 indexed citations
11.
Abbott, John, et al.. (2007). CoCoA. ACM communications in computer algebra. 41(3). 111–112. 2 indexed citations
12.
Abbott, John, et al.. (2007). Thinning Out Redundant Empirical Data. Mathematics in Computer Science. 1(2). 375–392. 4 indexed citations
13.
Abbott, John, Martin Kreuzer, & Lorenzo Robbiano. (2004). Computing zero-dimensional schemes. Journal of Symbolic Computation. 39(1). 31–49. 3 indexed citations
14.
Abbott, John, et al.. (2001). How Tight is Hadamard's Bound?. Experimental Mathematics. 10(3). 331–336. 10 indexed citations
15.
Abbott, John, Anna Maria Bigatti, Martin Kreuzer, & Lorenzo Robbiano. (2000). Computing Ideals of Points. Journal of Symbolic Computation. 30(4). 341–356. 35 indexed citations
16.
Abbott, John, Victor Shoup, & Paul Zimmermann. (2000). Factorization in Z[x]. CINECA IRIS Institutial Research Information System (University of Genoa). 1–7. 5 indexed citations
17.
Abbott, John. (2000). Sparse squares of polynomials. Mathematics of Computation. 71(237). 407–414. 2 indexed citations
18.
Abbott, John, et al.. (1998). Open Math: Communicating Mathematical Information Between Co-operating Agents in a Knowledge Network. Journal of Intelligent Systems. 8(3-4). 401–426. 4 indexed citations
19.
Abbott, John, Russell Bradford, & James H. Davenport. (1986). The Bath algebraic number package. 250–253. 9 indexed citations
20.
Abbott, John, Russell Bradford, & James H. Davenport. (1985). A remark on factorisation. ACM SIGSAM Bulletin. 19(2). 31–33. 6 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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