Edit Profile (opens in new tab) Parent, Pierre Co-Author Distance Author ID: parent.pierre Published as: Parent, Pierre; Parent, Pierre J. R.; Parent, P. more...less Documents Indexed: 19 Publications since 1986, including 3 Additional arXiv Preprints 1 Contribution as Editor Reviewing Activity: 5 Reviews Co-Authors: 7 Co-Authors with 9 Joint Publications 180 Co-Co-Authors all top 5 Co-Authors 9 single-authored 4 Bilu, Yuri F. 2 Edixhoven, Sebastiaan Johan 2 Yafaev, Andrei 1 Balakrishnan, Jennifer S. 1 Couveignes, Jean-Marc 1 Gao, Ziyang 1 Gauvin, Jacques 1 Ghate, Eknath P. 1 Rebolledo, Marusia 1 Savard, Gilles all top 5 Serials 2 Annales de l’Institut Fourier 2 Gazette des Mathématiciens 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 RAIRO. Recherche Opérationnelle 1 IMRN. International Mathematics Research Notices 1 Expositiones Mathematicae 1 Journal de Théorie des Nombres de Bordeaux 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Algebra & Number Theory all top 5 Fields 17 Number theory (11-XX) 10 Algebraic geometry (14-XX) 3 History and biography (01-XX) 1 General and overarching topics; collections (00-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Numerical analysis (65-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 14 Publications have been cited 184 times in 121 Documents Cited by ▼ Year ▼ Effective bounds for the torsion of elliptic curves over number fields. (Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres.) Zbl 0919.11040 Parent, Pierre 37 1999 Serre’s uniformity problem in the split Cartan case. Zbl 1278.11065 Bilu, Yuri; Parent, Pierre 34 2011 Rational points on \(X_0^+(p^r)\). Zbl 1307.11075 Bilu, Yuri; Parent, Pierre; Rebolledo, Marusia 30 2013 No 17-torsion on elliptic curves over cubic number fields. Zbl 1072.11037 Parent, Pierre 25 2003 Torsion des courbes elliptiques sur les corps cubiques. (Torsion of elliptic curves over cubic fields). Zbl 0971.11030 Parent, Pierre 18 2000 Runge’s method and modular curves. Zbl 1304.11054 Bilu, Yuri; Parent, Pierre 11 2011 Toward the triviality of \(X^+_0(p^r)(\mathbb Q)\) for \(r>1\). Zbl 1167.11310 Parent, Pierre J. R. 10 2005 Proving the triviality of rational points on Atkin-Lehner quotients of Shimura curves. Zbl 1129.14036 Parent, Pierre; Yafaev, Andrei 5 2007 Semistable reduction of modular curves associated with maximal subgroups in prime level. Zbl 1467.11060 Edixhoven, Bas; Parent, Pierre 5 2021 Integral \(j\)-invariants and Cartan structures for elliptic curves. Zbl 1165.11053 Bilu, Yu.; Parent, Pierre 4 2008 On uniform large Galois images for modular abelian varieties. Zbl 1328.11067 Ghate, E.; Parent, P. 4 2012 Répartition optimale de la puissance dans une centrale hydraulique a réserve pompée. Zbl 0586.90077 Gauvin, Jacques; Parent, Pierre; Savard, Gilles 2 1986 Heights on squares of modular curves. Zbl 1446.11116 Parent, Pierre 2 2018 Triviality of \(X_{\text{split}}(N)(\mathbb Q)\) for certain congruence classes of \(N\). Zbl 1040.11045 Parent, Pierre 1 2003 Semistable reduction of modular curves associated with maximal subgroups in prime level. Zbl 1467.11060 Edixhoven, Bas; Parent, Pierre 5 2021 Heights on squares of modular curves. Zbl 1446.11116 Parent, Pierre 2 2018 Rational points on \(X_0^+(p^r)\). Zbl 1307.11075 Bilu, Yuri; Parent, Pierre; Rebolledo, Marusia 30 2013 On uniform large Galois images for modular abelian varieties. Zbl 1328.11067 Ghate, E.; Parent, P. 4 2012 Serre’s uniformity problem in the split Cartan case. Zbl 1278.11065 Bilu, Yuri; Parent, Pierre 34 2011 Runge’s method and modular curves. Zbl 1304.11054 Bilu, Yuri; Parent, Pierre 11 2011 Integral \(j\)-invariants and Cartan structures for elliptic curves. Zbl 1165.11053 Bilu, Yu.; Parent, Pierre 4 2008 Proving the triviality of rational points on Atkin-Lehner quotients of Shimura curves. Zbl 1129.14036 Parent, Pierre; Yafaev, Andrei 5 2007 Toward the triviality of \(X^+_0(p^r)(\mathbb Q)\) for \(r>1\). Zbl 1167.11310 Parent, Pierre J. R. 10 2005 No 17-torsion on elliptic curves over cubic number fields. Zbl 1072.11037 Parent, Pierre 25 2003 Triviality of \(X_{\text{split}}(N)(\mathbb Q)\) for certain congruence classes of \(N\). Zbl 1040.11045 Parent, Pierre 1 2003 Torsion des courbes elliptiques sur les corps cubiques. (Torsion of elliptic curves over cubic fields). Zbl 0971.11030 Parent, Pierre 18 2000 Effective bounds for the torsion of elliptic curves over number fields. (Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres.) Zbl 0919.11040 Parent, Pierre 37 1999 Répartition optimale de la puissance dans une centrale hydraulique a réserve pompée. Zbl 0586.90077 Gauvin, Jacques; Parent, Pierre; Savard, Gilles 2 1986 all cited Publications top 5 cited Publications all top 5 Cited by 135 Authors 8 Najman, Filip 7 Lozano-Robledo, Álvaro 6 Parent, Pierre 5 Derickx, Maarten 5 González-Jiménez, Enrique 5 Le Fourn, Samuel 4 Bilu, Yuri F. 4 Dogra, Netan 4 Jeon, Daeyeol 4 Kim, Chang Heon 4 Lee, Yoonjin 4 Sutherland, Andrew V. 3 Balakrishnan, Jennifer S. 3 Billerey, Nicolas 3 Bourdon, Abbey 3 Clark, Peter Louis 3 Jones, Nathan A. 3 Kamienny, Sheldon 3 Kraus, Alain 3 Lemos, Pedro 3 Poonen, Bjorn 3 Stoll, Michael 2 Agashe, Amod 2 Arai, Keisuke 2 Armana, Cécile 2 Arul, Vishal 2 Bajolet, Aurélien 2 Belabas, Karim 2 Bruin, Peter 2 Daniels, Harris B. 2 Ejder, Özlem 2 Freitas, Nuno 2 Gillibert, Florence 2 Levin, Aaron 2 Lombardo, Davide M. 2 Mercuri, Pietro 2 Morrow, Jackson Salvatore 2 Müller, Jan Steffen 2 Petrunin, Maksim Maksimovich 2 Platonov, Vladimir Petrovich 2 Pollack, Paul 2 Rouse, Jeremy A. 2 Tornero, José María 2 Tuitman, Jan 2 Viray, Bianca 2 Vonk, Jan B. 2 Wang, Jian 2 Zureick-Brown, David 1 Adžaga, Nikola 1 Anni, Samuele 1 Banwait, Barinder S. 1 Beneish, Lea 1 Borne, Niels 1 Box, Josha 1 Boxall, John L. 1 Bright, Martin 1 Brüdern, Jörg 1 Canci, Jung Kyu 1 Česnavičius, Kęstutis 1 Checcoli, Sara 1 Chen, Mingjie 1 Chidambaram, Shiva 1 Cook, Brian 1 Cremona, John E. 1 David, Agnès 1 Demeio, Julian Lawrence 1 Dieulefait, Luis Victor 1 Dose, Valerio 1 Duque-Rosero, Juanita 1 Emsalem, Michel 1 Etropolski, Anastassia 1 Frengley, Sam 1 García-Selfa, Irene 1 Genao, Tyler 1 Gill, David R. 1 Grant, David R. 1 Hashimoto, Sachi 1 Ingram, Patrick 1 Jetchev, Dimitar P. 1 Kane, Ben 1 Keller, Timo 1 Kumar, Narasimha 1 Lido, Guido Maria 1 Liu, Yuan 1 Lyczak, Julian 1 Mahé, Valéry 1 Matschke, Benjamin 1 Mazur, Barry 1 Montgomery, Hugh Lowell 1 Morain, François 1 Naskrȩcki, Bartosz 1 Newman, Burton 1 Nuccio, Filippo Alberto Edoardo 1 Odumodu, Frances 1 Olalla, Miguel A. 1 Ozeki, Yoshiyasu 1 Ozman, Ekin 1 Pál, Ambrus 1 Paladino, Laura 1 Paulin, Roland ...and 35 more Authors all top 5 Cited in 44 Serials 11 Mathematics of Computation 10 Research in Number Theory 9 Journal of Number Theory 8 Algebra & Number Theory 7 Journal de Théorie des Nombres de Bordeaux 6 International Journal of Number Theory 5 Mathematische Annalen 4 Mathematische Zeitschrift 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Annales de l’Institut Fourier 3 Compositio Mathematica 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the American Mathematical Society 3 Expositiones Mathematicae 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Oberwolfach Reports 3 Forum of Mathematics, Sigma 2 Acta Arithmetica 2 Journal of the London Mathematical Society. Second Series 2 Pacific Journal of Mathematics 2 Annals of Mathematics. Second Series 1 Israel Journal of Mathematics 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Commentarii Mathematici Helvetici 1 Duke Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Algebra 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Experimental Mathematics 1 Journal of Mathematical Sciences (New York) 1 Sbornik: Mathematics 1 Doklady Mathematics 1 The Ramanujan Journal 1 Journal of the Australian Mathematical Society 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM all top 5 Cited in 8 Fields 116 Number theory (11-XX) 66 Algebraic geometry (14-XX) 3 General and overarching topics; collections (00-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) Citations by Year