Jonathan Pila

1.6k total citations
36 papers, 716 citations indexed

About

Jonathan Pila is a scholar working on Geometry and Topology, Algebra and Number Theory and Applied Mathematics. According to data from OpenAlex, Jonathan Pila has authored 36 papers receiving a total of 716 indexed citations (citations by other indexed papers that have themselves been cited), including 27 papers in Geometry and Topology, 12 papers in Algebra and Number Theory and 11 papers in Applied Mathematics. Recurrent topics in Jonathan Pila's work include Algebraic Geometry and Number Theory (18 papers), Polynomial and algebraic computation (9 papers) and Meromorphic and Entire Functions (8 papers). Jonathan Pila is often cited by papers focused on Algebraic Geometry and Number Theory (18 papers), Polynomial and algebraic computation (9 papers) and Meromorphic and Entire Functions (8 papers). Jonathan Pila collaborates with scholars based in United Kingdom, United States and Australia. Jonathan Pila's co-authors include Enrico Bombieri, A. J. Wilkie, Jacob Tsimerman, Umberto Zannier, Carl Pomerance, H. W. Lenstra, Ngaiming Mok, Daniel J. Bernstein and Fernando Rodríguez Villegas and has published in prestigious journals such as Mathematics of Computation, Annals of Mathematics and Duke Mathematical Journal.

In The Last Decade

Jonathan Pila

36 papers receiving 626 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Jonathan Pila United Kingdom 14 576 328 202 200 132 36 716
Marc Hindry France 7 476 0.8× 212 0.6× 170 0.8× 152 0.8× 78 0.6× 13 534
Attila Pethő Hungary 17 451 0.8× 339 1.0× 257 1.3× 330 1.6× 71 0.5× 82 809
Robert Rumely United States 12 380 0.7× 257 0.8× 243 1.2× 148 0.7× 98 0.7× 28 628
Alexei N. Skorobogatov United Kingdom 17 854 1.5× 576 1.8× 280 1.4× 200 1.0× 79 0.6× 61 951
David Masser Switzerland 20 1.0k 1.8× 433 1.3× 425 2.1× 427 2.1× 197 1.5× 85 1.2k
Kiran S. Kedlaya United States 16 560 1.0× 407 1.2× 172 0.9× 195 1.0× 129 1.0× 75 748
Pietro Corvaja Italy 13 419 0.7× 174 0.5× 238 1.2× 126 0.6× 134 1.0× 57 532
Gisbert Wüstholz Switzerland 13 423 0.7× 223 0.7× 195 1.0× 168 0.8× 53 0.4× 21 535
Jan‐Hendrik Evertse Netherlands 16 587 1.0× 283 0.9× 398 2.0× 256 1.3× 134 1.0× 56 839
Peter Shiu United Kingdom 9 379 0.7× 207 0.6× 432 2.1× 128 0.6× 97 0.7× 46 731

Countries citing papers authored by Jonathan Pila

Since Specialization
Citations

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

Fields of papers citing papers by Jonathan Pila

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Jonathan Pila

This figure shows the co-authorship network connecting the top 25 collaborators of Jonathan Pila. A scholar is included among the top collaborators of Jonathan Pila 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 Jonathan Pila. Jonathan Pila 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.
Mok, Ngaiming, Jonathan Pila, & Jacob Tsimerman. (2019). Ax-Schanuel for Shimura varieties. Annals of Mathematics. 189(3). 13 indexed citations
2.
Pila, Jonathan & Jacob Tsimerman. (2016). Ax–Schanuel for the j-function. Duke Mathematical Journal. 165(13). 12 indexed citations
3.
Pila, Jonathan. (2013). SPECIAL POINT PROBLEMS WITH ELLIPTIC MODULAR SURFACES. Mathematika. 60(1). 1–31. 4 indexed citations
4.
Pila, Jonathan. (2013). Modular Ax–Lindemann–Weierstrass with Derivatives. Notre Dame Journal of Formal Logic. 54(3-4). 11 indexed citations
5.
Pila, Jonathan & Jacob Tsimerman. (2012). The André–Oort conjecture for the moduli space of abelian surfaces. Compositio Mathematica. 149(2). 204–216. 15 indexed citations
6.
Pila, Jonathan. (2011). O-minimality and the André-Oort conjecture for C^n. Annals of Mathematics. 173(3). 1779–1840. 58 indexed citations
7.
Pila, Jonathan, et al.. (2011). Some unlikely intersections beyond André–Oort. Compositio Mathematica. 148(1). 1–27. 17 indexed citations
8.
Pila, Jonathan. (2010). Counting rational points on a certain exponential-algebraic surface. Annales de l’institut Fourier. 60(2). 489–514. 12 indexed citations
9.
Pila, Jonathan. (2009). On the algebraic points of a definable set. Selecta Mathematica. 15(1). 151–170. 23 indexed citations
10.
Pila, Jonathan. (2009). Rational Points of Definable Sets and Results of Andre-Oort-Manin-Mumford type. International Mathematics Research Notices. 11 indexed citations
11.
Pila, Jonathan. (2008). The density of rational points on a pfaff curve. Annales de la faculté des sciences de Toulouse Mathématiques. 16(3). 635–645. 13 indexed citations
12.
Pila, Jonathan. (2006). Mild parameterization and the rational points of a pfaff curve. Explore Bristol Research. 55(1). 1–8. 5 indexed citations
13.
Pila, Jonathan. (2006). NOTE ON THE RATIONAL POINTS OF A PFAFF CURVE. Proceedings of the Edinburgh Mathematical Society. 49(2). 391–397. 2 indexed citations
14.
Pila, Jonathan. (2005). Rational points on a subanalytic surface. Annales de l’institut Fourier. 55(5). 1501–1516. 13 indexed citations
15.
Pila, Jonathan. (2005). Note on Carlson's Theorem. Rocky Mountain Journal of Mathematics. 35(6). 2 indexed citations
16.
Pila, Jonathan. (2003). Entire functions having a concordant value sequence. Israel Journal of Mathematics. 134(1). 317–343. 3 indexed citations
17.
Lenstra, H. W., Jonathan Pila, & Carl Pomerance. (2002). A Hyperelliptic Smoothness Test, II. Proceedings of the London Mathematical Society. 84(1). 105–146. 12 indexed citations
18.
Lenstra, H. W., Jonathan Pila, & Carl Pomerance. (1993). A hyperelliptic smoothness test. I. Philosophical Transactions of the Royal Society of London Series A Physical and Engineering Sciences. 345(1676). 397–408. 21 indexed citations
19.
Pila, Jonathan. (1991). Geometric postulation of a smooth function and the number of rational points. Duke Mathematical Journal. 63(2). 20 indexed citations
20.
Pila, Jonathan. (1990). Frobenius maps of abelian varieties and finding roots of unity in finite fields. Mathematics of Computation. 55(192). 745–763. 58 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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