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Pila, Jonathan

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Author ID: pila.jonathan Recent zbMATH articles by "Pila, Jonathan"
Published as: Pila, J.; Pila, Jonathan
Homepage: https://www.maths.ox.ac.uk/people/jonathan.pila
External Links: MGP · Wikidata · dblp
Awards: Clay Research Award (2011)
Documents Indexed: 44 Publications since 1984
Reviewing Activity: 19 Reviews
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

39 Publications have been cited 573 times in 272 Documents Cited by Year
The number of integral points on arcs and ovals. Zbl 0718.11048
Bombieri, E.; Pila, J.
94
1989
The rational points of a definable set. Zbl 1217.11066
Pila, J.; Wilkie, A. J.
66
2006
\(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\). Zbl 1243.14022
Pila, Jonathan
60
2011
Rational points in periodic analytic sets and the Manin-Mumford conjecture. Zbl 1164.11029
Pila, Jonathan; Zannier, Umberto
40
2008
Frobenius maps of abelian varieties and finding roots of unity in finite fields. Zbl 0724.11070
Pila, J.
40
1990
Ax-Lindemann for \(\mathcal{A}_g\). Zbl 1305.14020
Pila, Jonathan; Tsimerman, Jacob
23
2014
Integer points on the dilation of a subanalytic surface. Zbl 1111.32004
Pila, Jonathan
23
2004
The André-Oort conjecture for the moduli space of abelian surfaces. Zbl 1304.11055
Pila, Jonathan; Tsimerman, Jacob
20
2013
On the algebraic points of a definable set. Zbl 1218.11068
Pila, Jonathan
16
2009
Rational points of definable sets and results of André-Oort-Manin-Mumford type. Zbl 1243.14021
Pila, Jonathan
16
2009
O-minimality and certain atypical intersections. Zbl 1364.11110
Habegger, Philipp; Pila, Jonathan
15
2016
Ax-Schanuel for the \(j\)-function. Zbl 1419.11093
Pila, Jonathan; Tsimerman, Jacob
13
2016
Geometric postulation of a smooth function and the number of rational points. Zbl 0763.11025
Pila, J.
13
1991
Some unlikely intersections beyond André-Oort. Zbl 1288.11062
Habegger, P.; Pila, J.
12
2012
Counting rational points on a certain exponential-algebraic surface. Zbl 1210.11074
Pila, Jonathan
12
2010
The density of rational points on a Pfaff curve. Zbl 1229.11053
Pila, Jonathan
11
2007
Rational points on a subanalytic surface. Zbl 1121.11032
Pila, Jonathan
11
2005
Modular Ax-Lindemann-Weierstrass with derivatives. Zbl 1355.11078
Pila, Jonathan
9
2013
A hyperelliptic smoothness test. I. Zbl 0808.11073
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
9
1993
Ax-Schanuel for Shimura varieties. Zbl 07107179
Mok, Ngaiming; Pila, Jonathan; Tsimerman, Jacob
8
2019
Density of integral and rational points on varieties. Zbl 0834.11028
Pila, J.
8
1995
Mild parameterization and the rational points of a Pfaff curve. Zbl 1129.11029
Pila, Jonathan
7
2006
A hyperelliptic smoothness test. II. Zbl 0983.11072
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
7
2002
Density of integer points on plane algebraic curves. Zbl 0973.11085
Pila, J.
7
1996
Note on the rational points of a Pfaff curve. Zbl 1097.11037
Pila, Jonathan
4
2006
Concordant sequences and integral-valued entire functions. Zbl 0935.11026
Pila, Jonathan; Rodriguez Villegas, Fernando
4
1999
Functional transcendence via o-minimality. Zbl 1358.11080
Pila, Jonathan
3
2015
Special point problems with elliptic modular surfaces. Zbl 1372.11063
Pila, Jonathan
3
2014
Detecting perfect powers by factoring into coprimes. Zbl 1110.11038
Bernstein, Daniel J.; Lenstra, Hendrik W. jun.; Pila, Jonathan
3
2007
Entire functions having a concordant value sequence. Zbl 1035.30022
Pila, Jonathan
3
2003
Geometric and arithmetic postulation of the exponential function. Zbl 0773.11046
Pila, J.
3
1993
Multiplicative relations among singular moduli. Zbl 1408.14092
Pila, Jonathan; Tsimerman, Jacob
2
2017
O-minimality and Diophantine geometry. Zbl 1373.11050
Pila, Jonathan
2
2014
Uniform parameterization of subanalytic sets and Diophantine applications. Zbl 07201735
Cluckers, Raf; Pila, Jonathan; Wilkie, Alex
1
2020
On a modular Fermat equation. Zbl 1410.11074
Pila, Jonathan
1
2017
Rational points on Grassmannians and unlikely intersections in tori. Zbl 1364.11122
Capuano, L.; Masser, D.; Pila, J.; Zannier, U.
1
2016
Note on Carlson’s theorem. Zbl 1108.30024
Pila, Jonathan
1
2005
Concordant sequences and concordant entire functions. Zbl 1183.30022
Pila, Jonathan
1
2002
Connected regular graphs without one-factors. Zbl 0555.05044
Pila, J.
1
1984
Uniform parameterization of subanalytic sets and Diophantine applications. Zbl 07201735
Cluckers, Raf; Pila, Jonathan; Wilkie, Alex
1
2020
Ax-Schanuel for Shimura varieties. Zbl 07107179
Mok, Ngaiming; Pila, Jonathan; Tsimerman, Jacob
8
2019
Multiplicative relations among singular moduli. Zbl 1408.14092
Pila, Jonathan; Tsimerman, Jacob
2
2017
On a modular Fermat equation. Zbl 1410.11074
Pila, Jonathan
1
2017
O-minimality and certain atypical intersections. Zbl 1364.11110
Habegger, Philipp; Pila, Jonathan
15
2016
Ax-Schanuel for the \(j\)-function. Zbl 1419.11093
Pila, Jonathan; Tsimerman, Jacob
13
2016
Rational points on Grassmannians and unlikely intersections in tori. Zbl 1364.11122
Capuano, L.; Masser, D.; Pila, J.; Zannier, U.
1
2016
Functional transcendence via o-minimality. Zbl 1358.11080
Pila, Jonathan
3
2015
Ax-Lindemann for \(\mathcal{A}_g\). Zbl 1305.14020
Pila, Jonathan; Tsimerman, Jacob
23
2014
Special point problems with elliptic modular surfaces. Zbl 1372.11063
Pila, Jonathan
3
2014
O-minimality and Diophantine geometry. Zbl 1373.11050
Pila, Jonathan
2
2014
The André-Oort conjecture for the moduli space of abelian surfaces. Zbl 1304.11055
Pila, Jonathan; Tsimerman, Jacob
20
2013
Modular Ax-Lindemann-Weierstrass with derivatives. Zbl 1355.11078
Pila, Jonathan
9
2013
Some unlikely intersections beyond André-Oort. Zbl 1288.11062
Habegger, P.; Pila, J.
12
2012
\(o\)-minimality and the André-Oort conjecture for \(\mathbb{C}^{n}\). Zbl 1243.14022
Pila, Jonathan
60
2011
Counting rational points on a certain exponential-algebraic surface. Zbl 1210.11074
Pila, Jonathan
12
2010
On the algebraic points of a definable set. Zbl 1218.11068
Pila, Jonathan
16
2009
Rational points of definable sets and results of André-Oort-Manin-Mumford type. Zbl 1243.14021
Pila, Jonathan
16
2009
Rational points in periodic analytic sets and the Manin-Mumford conjecture. Zbl 1164.11029
Pila, Jonathan; Zannier, Umberto
40
2008
The density of rational points on a Pfaff curve. Zbl 1229.11053
Pila, Jonathan
11
2007
Detecting perfect powers by factoring into coprimes. Zbl 1110.11038
Bernstein, Daniel J.; Lenstra, Hendrik W. jun.; Pila, Jonathan
3
2007
The rational points of a definable set. Zbl 1217.11066
Pila, J.; Wilkie, A. J.
66
2006
Mild parameterization and the rational points of a Pfaff curve. Zbl 1129.11029
Pila, Jonathan
7
2006
Note on the rational points of a Pfaff curve. Zbl 1097.11037
Pila, Jonathan
4
2006
Rational points on a subanalytic surface. Zbl 1121.11032
Pila, Jonathan
11
2005
Note on Carlson’s theorem. Zbl 1108.30024
Pila, Jonathan
1
2005
Integer points on the dilation of a subanalytic surface. Zbl 1111.32004
Pila, Jonathan
23
2004
Entire functions having a concordant value sequence. Zbl 1035.30022
Pila, Jonathan
3
2003
A hyperelliptic smoothness test. II. Zbl 0983.11072
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
7
2002
Concordant sequences and concordant entire functions. Zbl 1183.30022
Pila, Jonathan
1
2002
Concordant sequences and integral-valued entire functions. Zbl 0935.11026
Pila, Jonathan; Rodriguez Villegas, Fernando
4
1999
Density of integer points on plane algebraic curves. Zbl 0973.11085
Pila, J.
7
1996
Density of integral and rational points on varieties. Zbl 0834.11028
Pila, J.
8
1995
A hyperelliptic smoothness test. I. Zbl 0808.11073
Lenstra, H. W. jun.; Pila, J.; Pomerance, Carl
9
1993
Geometric and arithmetic postulation of the exponential function. Zbl 0773.11046
Pila, J.
3
1993
Geometric postulation of a smooth function and the number of rational points. Zbl 0763.11025
Pila, J.
13
1991
Frobenius maps of abelian varieties and finding roots of unity in finite fields. Zbl 0724.11070
Pila, J.
40
1990
The number of integral points on arcs and ovals. Zbl 0718.11048
Bombieri, E.; Pila, J.
94
1989
Connected regular graphs without one-factors. Zbl 0555.05044
Pila, J.
1
1984
all top 5

Cited by 275 Authors

19 Pila, Jonathan
11 Masser, David William
11 Shparlinski, Igor E.
10 Zannier, Umberto M.
9 Tsimerman, Jacob
7 Yafaev, Andrei
6 Binyamini, Gal
6 Gao, Ziyang
6 Habegger, Philipp
6 Ullmo, Emmanuel
5 Daw, Christopher
5 Gaudry, Pierrick
5 Heath-Brown, Roger
5 Yomdin, Yosef
4 Bilu, Yuri F.
4 Bourgain, Jean
4 Diem, Claus
4 Orr, Martin
4 Schmidt, Harry
3 Bakker, Benjamin
3 Bertrand, Daniel
3 Burguet, David
3 Chalebgwa, Taboka Prince
3 Cilleruelo, Javier
3 Freitag, James
3 Luca, Florian
3 Novikov, Dmitry
3 Salberger, Per
3 Scanlon, Thomas J.
3 Sutherland, Andrew V.
2 Abelard, Simon
2 Aslanyan, Vahagn A.
2 Bernstein, Daniel Julius
2 Bisson, Gaetan
2 Browning, Timothy Daniel
2 Chang, Mei-Chu
2 Chen, Huayi
2 Cluckers, Raf
2 Comte, Georges
2 Corvaja, Pietro
2 Demangos, Luca
2 Dietmann, Rainer
2 Eleftheriou, Pantelis E.
2 Fang, Yung-Fu
2 Garaev, Moubariz Z.
2 Golubeva, Elena P.
2 Grillakis, Manoussos G.
2 Helfgott, Harald Andrés
2 Hernández Encinas, Luis
2 Huang, Jingjing
2 Huxley, Martin N.
2 Jones, Gareth Owen
2 Klingler, Bruno
2 Kühne, Lars
2 Lauder, Alan G. B.
2 Lauter, Kristin Estella
2 Loeser, François
2 Lubicz, David
2 Marmon, Oscar
2 Mok, Ngaiming
2 Muñoz Masqué, Jaime
2 Novoselov, S. A.
2 Peterzil, Ya’acov
2 Pizarro-Madariaga, Amalia
2 Pomerance, Carl Bernard
2 Schost, Éric
2 Spence, Haden
2 Starchenko, Sergei
2 Stojaković, Miloš
2 Thomas, Margaret E. M.
2 Thomé, Emmanuel
2 Venkatesh, Akshay
2 Walsh, Miguel Nicolás
2 Welter, Michael
2 Widmer, Martin
1 Adleman, Leonard Max
1 Allombert, Bill
1 Anderson, Greg W.
1 André, Yves
1 Baldi, Gregorio
1 Barroero, Fabrizio
1 Bauer, Mark L.
1 Bays, Martin
1 Beshenov, Alexey
1 Besson, Etienne
1 Bhargava, Manjul
1 Bianconi, Ricardo
1 Bilu, Margaret
1 Bleher, Pavel M.
1 Bos, Joppe W.
1 Broberg, Niklas
1 Brownawell, W. Dale
1 Bureaux, Julien
1 Burungale, Ashay A.
1 Butler, Lee A.
1 Cantor, David Geoffrey
1 Capuano, Laura
1 Casale, Guy
1 Chambert-Loir, Antoine
1 Chatel, Gweltaz
...and 175 more Authors
all top 5

Cited in 93 Serials

15 Journal of Number Theory
13 Mathematics of Computation
12 Annals of Mathematics. Second Series
11 Compositio Mathematica
9 Duke Mathematical Journal
9 Mathematische Annalen
8 Journal für die Reine und Angewandte Mathematik
6 Annales de l’Institut Fourier
6 Mathematika
6 Geometric and Functional Analysis. GAFA
6 International Journal of Number Theory
5 Israel Journal of Mathematics
5 Advances in Mathematics
5 Inventiones Mathematicae
5 Transactions of the American Mathematical Society
5 Journal of the American Mathematical Society
5 Journal de Théorie des Nombres de Bordeaux
4 Archiv der Mathematik
4 Proceedings of the American Mathematical Society
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Journal of Symbolic Computation
4 Journal of the Institute of Mathematics of Jussieu
4 Algebra & Number Theory
3 Bulletin of the Australian Mathematical Society
3 Rocky Mountain Journal of Mathematics
3 Canadian Mathematical Bulletin
3 Mathematische Zeitschrift
3 Monatshefte für Mathematik
3 Annals of Pure and Applied Logic
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of Mathematical Sciences (New York)
3 Journal of the European Mathematical Society (JEMS)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Communications in Mathematical Physics
2 Journal of Mathematical Analysis and Applications
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Bulletin of the London Mathematical Society
2 Commentarii Mathematici Helvetici
2 Functional Analysis and its Applications
2 Journal of Functional Analysis
2 Manuscripta Mathematica
2 Notre Dame Journal of Formal Logic
2 Theoretical Computer Science
2 Journal of Complexity
2 Journal of Cryptology
2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
2 Communications in Partial Differential Equations
2 Computational Complexity
2 Finite Fields and their Applications
2 Selecta Mathematica. New Series
2 The Ramanujan Journal
2 LMS Journal of Computation and Mathematics
2 Science China. Mathematics
2 Forum of Mathematics, Sigma
1 Discrete Mathematics
1 Reviews of Modern Physics
1 Acta Arithmetica
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Functiones et Approximatio. Commentarii Mathematici
1 Geometriae Dedicata
1 Publications Mathématiques
1 Journal of Algebra
1 Journal of Combinatorial Theory. Series B
1 The Journal of Symbolic Logic
1 Michigan Mathematical Journal
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Circuits, Systems, and Signal Processing
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Algorithmica
1 Revista Matemática Iberoamericana
1 Forum Mathematicum
1 Japan Journal of Industrial and Applied Mathematics
1 IMRN. International Mathematics Research Notices
1 Designs, Codes and Cryptography
1 L’Enseignement Mathématique. 2e Série
1 Bulletin of the American Mathematical Society. New Series
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Turkish Journal of Mathematics
1 Documenta Mathematica
1 Communications in Contemporary Mathematics
1 Foundations of Computational Mathematics
1 Journal of Applied Mathematics
1 Communications on Pure and Applied Analysis
1 Journal of Mathematical Cryptology
1 Forum of Mathematics, Pi
1 JSIAM Letters
1 EMS Surveys in Mathematical Sciences
1 Arnold Mathematical Journal
1 Prikladnaya Diskretnaya Matematika

Citations by Year

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