J. E. Cremona

2.4k total citations · 1 hit paper
66 papers, 1.2k citations indexed

About

J. E. Cremona is a scholar working on Geometry and Topology, Mathematical Physics and Algebra and Number Theory. According to data from OpenAlex, J. E. Cremona has authored 66 papers receiving a total of 1.2k indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Geometry and Topology, 25 papers in Mathematical Physics and 18 papers in Algebra and Number Theory. Recurrent topics in J. E. Cremona's work include Algebraic Geometry and Number Theory (40 papers), Advanced Algebra and Geometry (22 papers) and Analytic Number Theory Research (14 papers). J. E. Cremona is often cited by papers focused on Algebraic Geometry and Number Theory (40 papers), Advanced Algebra and Geometry (22 papers) and Analytic Number Theory Research (14 papers). J. E. Cremona collaborates with scholars based in United Kingdom, United States and Germany. J. E. Cremona's co-authors include Patrick W. Fowler, Michael Stoll, Tom Fisher, Barry Mazur, D. Rusin, Samir Siksek, R. W. K. Odoni, Patrick W. Fowler, Manjul Bhargava and Kenneth A. Ribet and has published in prestigious journals such as Mathematics of Computation, American Mathematical Monthly and Theoretical Chemistry Accounts.

In The Last Decade

J. E. Cremona

63 papers receiving 1.0k citations

Hit Papers

Algorithms for Modular Elliptic Curves 1992 2026 2003 2014 1992 100 200 300 400
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. Algorithms for Modular Elliptic Curves
    1992 408 citations J. E. Cremona Medical Entomology and Zoology profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
J. E. Cremona United Kingdom 17 968 584 456 230 169 66 1.2k
Dan Abramovich United States 20 1.5k 1.5× 928 1.6× 324 0.7× 264 1.1× 21 0.1× 49 1.6k
Manjul Bhargava United States 18 501 0.5× 340 0.6× 444 1.0× 124 0.5× 26 0.2× 51 833
Chris Smyth United Kingdom 17 380 0.4× 241 0.4× 260 0.6× 266 1.2× 10 0.1× 59 751
Enrico Arbarello Italy 17 2.0k 2.0× 1.0k 1.7× 559 1.2× 505 2.2× 34 0.2× 25 2.1k
Steven J. Miller United States 17 189 0.2× 253 0.4× 265 0.6× 147 0.6× 19 0.1× 99 855
Kenkichi Iwasawa United States 20 1.0k 1.1× 659 1.1× 605 1.3× 113 0.5× 24 0.1× 33 1.3k
Yasutaka Ihara Japan 13 498 0.5× 352 0.6× 184 0.4× 113 0.5× 20 0.1× 36 619
Michel Waldschmidt France 17 489 0.5× 364 0.6× 365 0.8× 259 1.1× 22 0.1× 77 968
Joe Buhler United States 15 344 0.4× 216 0.4× 303 0.7× 121 0.5× 47 0.3× 40 662
Jun-ichi Igusa United States 25 1.4k 1.4× 1.1k 2.0× 574 1.3× 223 1.0× 75 0.4× 56 1.8k

Countries citing papers authored by J. E. Cremona

Since Specialization
Citations

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

Fields of papers citing papers by J. E. Cremona

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by J. E. Cremona. 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 J. E. Cremona. The network helps show where J. E. Cremona may publish in the future.

Co-authorship network of co-authors of J. E. Cremona

This figure shows the co-authorship network connecting the top 25 collaborators of J. E. Cremona. A scholar is included among the top collaborators of J. E. Cremona 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 J. E. Cremona. J. E. Cremona 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.
Cremona, J. E., et al.. (2023). Local and global densities for Weierstrass models of elliptic curves. Mathematical Research Letters. 30(2). 413–461. 6 indexed citations
2.
Cremona, J. E., et al.. (2021). 4. The $L$-Functions and Modular Forms Database by John E. Cremona, John W. Jones, Andrew V. Sutherland, and John Voight. Notices of the American Mathematical Society. 68(9). 1–1. 12 indexed citations
3.
Cremona, J. E., et al.. (2016). TETRAHEDRAL ELLIPTIC CURVES AND THE LOCAL-GLOBAL PRINCIPLE FOR ISOGENIES. 12 indexed citations
4.
Bhargava, Manjul, J. E. Cremona, Tom Fisher, Nick G. Jones, & Jonathan P. Keating. (2015). What is the Probability that a Random Integral Quadratic Form innVariables has an Integral Zero?. International Mathematics Research Notices. 2016(12). 3828–3848. 13 indexed citations
5.
Cremona, J. E., et al.. (2013). The complex AGM, periods of elliptic curves over C and complex elliptic logarithms. Journal of Number Theory. 133(8). 2813–2841. 4 indexed citations
6.
Hoeij, Mark van & J. E. Cremona. (2008). Solving conics over function fields. Journal de Théorie des Nombres de Bordeaux. 18(3). 595–606. 8 indexed citations
7.
Cremona, J. E., et al.. (2008). Explicit n-descent on elliptic curves, I. Algebra. Journal für die reine und angewandte Mathematik (Crelles Journal). 2008(615). 19 indexed citations
8.
Cremona, J. E., et al.. (2005). Height difference bounds for elliptic curves over number fields. Journal of Number Theory. 116(1). 42–68. 19 indexed citations
9.
Cremona, J. E.. (2003). TORSORS AND RATIONAL POINTS (Cambridge Tracts in Mathematics 144) By ALEXEI SKOROBOGATOV: 187 pp., £35.00, ISBN 0-521-80237-7 (Cambridge University Press, 2001).. Bulletin of the London Mathematical Society. 35(2). 276–288. 37 indexed citations
10.
Cremona, J. E.. (2002). 86.01 A solution for Note 84.35. The Mathematical Gazette. 86(505). 66–68.
11.
Cremona, J. E.. (2001). Classical Invariants and 2-descent on Elliptic Curves. Journal of Symbolic Computation. 31(1-2). 71–87. 13 indexed citations
12.
Cremona, J. E. & Barry Mazur. (2000). Visualizing Elements in the Shafarevich—Tate Group. Experimental Mathematics. 9(1). 13–28. 37 indexed citations
13.
Cremona, J. E.. (1995). Computing the degree of the modular parametrization of a modular elliptic curve. Mathematics of Computation. 64(211). 1235–1250. 9 indexed citations
14.
Cremona, J. E.. (1995). Computing the Degree of the Modular Parametrization of a Modular Elliptic Curve. Mathematics of Computation. 64(211). 1235–1235. 15 indexed citations
15.
Cremona, J. E.. (1994). A course in computational algebraic number theory, by Henri Cohen. Pp536 DM88. 1993. ISBN 3-540-55640-0 (Springer). The Mathematical Gazette. 78(482). 221–222. 1 indexed citations
16.
Cremona, J. E.. (1992). Algorithms for Modular Elliptic Curves. Medical Entomology and Zoology. 408 indexed citations breakdown →
17.
Cremona, J. E.. (1990). Algebraic theory of the Bianchi groups, by Benjamin Fine. Pp 249. $119·50. 1989. ISBN 0-8247-8192-9 (Marcel Dekker). The Mathematical Gazette. 74(468). 196–198. 1 indexed citations
18.
Cremona, J. E. & Susan Landau. (1990). Shrinking lattice polyhedra. Symposium on Discrete Algorithms. 188–193. 1 indexed citations
19.
Cremona, J. E.. (1987). Addendum and errata “Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields”. Compositio Mathematica. 63(2). 271–272. 2 indexed citations
20.
Cremona, J. E.. (1984). Hyperbolic tessellations, modular symbols, and elliptic curves over complex quadratic fields. Compositio Mathematica. 51(3). 275–324. 44 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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