Edit Profile (opens in new tab) Schoof, René Compute Distance To: Compute Author ID: schoof.rene Published as: Schoof, René; Schoof, R. J.; Schoof, R.; Schoof, Rene more...less External Links: MGP · Wikidata · IdRef · theses.fr Documents Indexed: 51 Publications since 1980, including 1 Book 3 Contributions as Editor Reviewing Activity: 69 Reviews Co-Authors: 28 Co-Authors with 23 Joint Publications 579 Co-Co-Authors all top 5 Co-Authors 31 single-authored 4 Washington, Lawrence C. 3 Van der Geer, Gerard 2 Kraft, James Stuart 2 van der Vlugt, Marcel 1 Bassa, Alp 1 Bayer-Fluckiger, Eva 1 Corrales-Rodrigáñez, Capi 1 de Smit, Bart 1 Dose, Valerio 1 Fernandez, Julio 1 González, Josep R. 1 Howe, Everett W. 1 Lario, Joan-Carles 1 Larsen, Michael Jeffrey 1 Lenstra, Hendrik W. jun. 1 Lorenzo García, Elisa 1 Mercuri, Pietro 1 Mestre, Jean-François 1 Mishra, Mohit 1 Monsurrò, Marina 1 Moonen, Ben 1 Oesterlé, Joseph 1 Parimala, Raman 1 Ritzenthaler, Christophe 1 Rubin, Karl Cooper 1 Schappacher, Norbert 1 Serre, Jean-Pierre 1 Talamanca, Valerio 1 Tzanakis, Nikos 1 Van de Craats, Jan 1 Zagier, Don Bernard all top 5 Serials 8 Mathematics of Computation 5 Journal of Number Theory 4 Compositio Mathematica 2 Journal of Combinatorial Theory. Series A 2 Experimental Mathematics 2 Journal de Théorie des Nombres de Bordeaux 1 The Mathematical Intelligencer 1 Acta Arithmetica 1 Gazette des Mathématiciens 1 Journal of Algebra 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Nieuw Archief voor Wiskunde. Vierde Serie 1 Selecta Mathematica. New Series 1 Nieuw Archief voor Wiskunde. Vijfde Serie 1 Progress in Mathematics 1 Documents Mathématiques 1 Universitext all top 5 Fields 46 Number theory (11-XX) 24 Algebraic geometry (14-XX) 5 Information and communication theory, circuits (94-XX) 3 General and overarching topics; collections (00-XX) 3 Group theory and generalizations (20-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 761 times in 672 Documents Cited by ▼ Year ▼ Elliptic curves over finite fields and the computation of square roots mod p. Zbl 0579.14025Schoof, René 124 1985 Nonsingular plane cubic curves over finite fields. Zbl 0632.14021Schoof, René 111 1987 Counting points on elliptic curves over finite fields. Zbl 0852.11073Schoof, René 95 1995 Primitive normal bases for finite fields. Zbl 0615.12023Lenstra, H. W. jun.; Schoof, R. J. 66 1987 Quintic polynomials and real cyclotomic fields with large class numbers. Zbl 0649.12007Schoof, René; Washington, Lawrence C. 47 1988 Computing Iwasawa modules of real quadratic number fields. Zbl 0840.11043Kraft, James S.; Schoof, René 33 1995 Hecke operators and the weight distributions of certain codes. Zbl 0729.11065Schoof, René; van der Vlugt, Marcel 27 1991 The support problem and its elliptic analogue. Zbl 0922.11086Corrales-Rodrigáñez, Capi; Schoof, René 23 1997 Class numbers of real cyclotomic fields of prime conductor. Zbl 1052.11071Schoof, René 21 2003 Families of curves and weight distributions of codes. Zbl 0854.11072Schoof, René 20 1995 Infinite class field towers of quadratic fields. Zbl 0589.12011Schoof, René 19 1986 Effectivity of Arakelov divisors and the theta divisor of a number field. Zbl 1030.11063van der Geer, Gerard; Schoof, René 16 2000 Minus class groups of the fields of the \(l\)-th roots of unity. Zbl 0902.11043Schoof, René 16 1998 Algebraic curves over \({\mathbb{F}}_ 2\) with many rational points. Zbl 0762.11026Schoof, René 13 1992 Abelian varieties over cyclotomic fields with good reduction everywhere. Zbl 1058.11038Schoof, René 12 2003 Abelian varieties over \(\mathbb Q\) with bad reduction in one prime only. Zbl 1173.11333Schoof, René 11 2005 Computing Arakelov class groups. Zbl 1188.11076Schoof, René 10 2008 Weight formulas for ternary Melas codes. Zbl 0768.94017van der Geer, Gerard; Schoof, René; van der Vlugt, Marcel 8 1992 Catalan’s conjecture. Zbl 1186.11018Schoof, René 7 2008 The exponents of the groups of points on the reductions of an elliptic curve. Zbl 0726.14023Schoof, René 7 1991 The automorphism group of the non-split Cartan modular curve of level 11. Zbl 1330.14049Dose, Valerio; Fernández, Julio; González, Josep; Schoof, René 7 2014 Beppo Levi and the arithmetic of elliptic curves. Zbl 0849.01036Schappacher, Norbert; Schoof, René 6 1996 Criteria for complete intersections. Zbl 0903.13003De Smit, Bart; Rubin, Karl; Schoof, René 6 1997 Integral points of a modular curve of level 11. Zbl 1292.11057Schoof, René; Tzanakis, Nikos 5 2012 Class groups of complex quadratic fields. Zbl 0516.12002Schoof, R. J. 5 1983 Quadratic fields and factorization. Zbl 0527.12003Schoof, R. J. 5 1982 Four primality testing algorithms. Zbl 1196.11169Schoof, René 5 2008 Semistable abelian varieties with good reduction outside 15. Zbl 1323.11040Schoof, René 5 2012 Visibility of ideal classes. Zbl 1226.11123Schoof, René; Washington, Lawrence C. 5 2010 Papers from the conference 21st Journées Arithmétiques held at the Università Lateranense, Rome, July 12–16, 2001. Zbl 1041.11500 4 2001 Modular forms invariant under non-split Cartan subgroups. Zbl 1437.11066Mercuri, Pietro; Schoof, René 3 2020 Some computations with Hecke rings and deformation rings. With an appendix by Amod Agashe and William Stein. Zbl 1116.11310Lario, Joan-C.; Schoof, René 3 2002 The structure of the minus class groups of abelian number fields. Zbl 0719.11074Schoof, René 3 1990 Homophonic quotients of free groups. (Quotients homophones des groupes libres.) Zbl 0818.20033Mestre, Jean-François; Schoof, René; Washington, Lawrence; Zagier, Don 2 1993 Cohomology of class groups of cyclotomic fields; an application to Morse- Smale diffeomorphisms. Zbl 0651.12004Schoof, René 2 1988 A refined counter-example to the support conjecture for abelian varieties. Zbl 1097.14036Larsen, Michael; Schoof, René 2 2006 On the modular curve \(X_0(23)\). Zbl 1317.14098Schoof, René 2 2012 Number fields and function fields – two parallel worlds. Zbl 1078.11002 2 2005 Trace forms of \(G\)-Galois algebras in virtual cohomological dimension 1 and 2. Zbl 1069.12004Bayer-Fluckiger, Eva; Monsurrò, Marina; Parimala, R.; Schoof, René 2 2004 Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof. Zbl 1475.11002Serre, Jean-Pierre 2 2020 Erratum: Computing Iwasawa modules of real quadratic number fields. Zbl 0857.11056Kraft, J. S.; Schoof, R. 1 1996 Modular forms invariant under non-split Cartan subgroups. Zbl 1437.11066Mercuri, Pietro; Schoof, René 3 2020 Rational points on curves over finite fields. With contributions by Everett Howe, Joseph Oesterlé and Christophe Ritzenthaler. Edited by Alp Bassa, Elisa Lorenzo García, Christophe Ritzenthaler and René Schoof. Zbl 1475.11002Serre, Jean-Pierre 2 2020 The automorphism group of the non-split Cartan modular curve of level 11. Zbl 1330.14049Dose, Valerio; Fernández, Julio; González, Josep; Schoof, René 7 2014 Integral points of a modular curve of level 11. Zbl 1292.11057Schoof, René; Tzanakis, Nikos 5 2012 Semistable abelian varieties with good reduction outside 15. Zbl 1323.11040Schoof, René 5 2012 On the modular curve \(X_0(23)\). Zbl 1317.14098Schoof, René 2 2012 Visibility of ideal classes. Zbl 1226.11123Schoof, René; Washington, Lawrence C. 5 2010 Computing Arakelov class groups. Zbl 1188.11076Schoof, René 10 2008 Catalan’s conjecture. Zbl 1186.11018Schoof, René 7 2008 Four primality testing algorithms. Zbl 1196.11169Schoof, René 5 2008 A refined counter-example to the support conjecture for abelian varieties. Zbl 1097.14036Larsen, Michael; Schoof, René 2 2006 Abelian varieties over \(\mathbb Q\) with bad reduction in one prime only. Zbl 1173.11333Schoof, René 11 2005 Number fields and function fields – two parallel worlds. Zbl 1078.11002 2 2005 Trace forms of \(G\)-Galois algebras in virtual cohomological dimension 1 and 2. Zbl 1069.12004Bayer-Fluckiger, Eva; Monsurrò, Marina; Parimala, R.; Schoof, René 2 2004 Class numbers of real cyclotomic fields of prime conductor. Zbl 1052.11071Schoof, René 21 2003 Abelian varieties over cyclotomic fields with good reduction everywhere. Zbl 1058.11038Schoof, René 12 2003 Some computations with Hecke rings and deformation rings. With an appendix by Amod Agashe and William Stein. Zbl 1116.11310Lario, Joan-C.; Schoof, René 3 2002 Papers from the conference 21st Journées Arithmétiques held at the Università Lateranense, Rome, July 12–16, 2001. Zbl 1041.11500 4 2001 Effectivity of Arakelov divisors and the theta divisor of a number field. Zbl 1030.11063van der Geer, Gerard; Schoof, René 16 2000 Minus class groups of the fields of the \(l\)-th roots of unity. Zbl 0902.11043Schoof, René 16 1998 The support problem and its elliptic analogue. Zbl 0922.11086Corrales-Rodrigáñez, Capi; Schoof, René 23 1997 Criteria for complete intersections. Zbl 0903.13003De Smit, Bart; Rubin, Karl; Schoof, René 6 1997 Beppo Levi and the arithmetic of elliptic curves. Zbl 0849.01036Schappacher, Norbert; Schoof, René 6 1996 Erratum: Computing Iwasawa modules of real quadratic number fields. Zbl 0857.11056Kraft, J. S.; Schoof, R. 1 1996 Counting points on elliptic curves over finite fields. Zbl 0852.11073Schoof, René 95 1995 Computing Iwasawa modules of real quadratic number fields. Zbl 0840.11043Kraft, James S.; Schoof, René 33 1995 Families of curves and weight distributions of codes. Zbl 0854.11072Schoof, René 20 1995 Homophonic quotients of free groups. (Quotients homophones des groupes libres.) Zbl 0818.20033Mestre, Jean-François; Schoof, René; Washington, Lawrence; Zagier, Don 2 1993 Algebraic curves over \({\mathbb{F}}_ 2\) with many rational points. Zbl 0762.11026Schoof, René 13 1992 Weight formulas for ternary Melas codes. Zbl 0768.94017van der Geer, Gerard; Schoof, René; van der Vlugt, Marcel 8 1992 Hecke operators and the weight distributions of certain codes. Zbl 0729.11065Schoof, René; van der Vlugt, Marcel 27 1991 The exponents of the groups of points on the reductions of an elliptic curve. Zbl 0726.14023Schoof, René 7 1991 The structure of the minus class groups of abelian number fields. Zbl 0719.11074Schoof, René 3 1990 Quintic polynomials and real cyclotomic fields with large class numbers. Zbl 0649.12007Schoof, René; Washington, Lawrence C. 47 1988 Cohomology of class groups of cyclotomic fields; an application to Morse- Smale diffeomorphisms. Zbl 0651.12004Schoof, René 2 1988 Nonsingular plane cubic curves over finite fields. Zbl 0632.14021Schoof, René 111 1987 Primitive normal bases for finite fields. Zbl 0615.12023Lenstra, H. W. jun.; Schoof, R. J. 66 1987 Infinite class field towers of quadratic fields. Zbl 0589.12011Schoof, René 19 1986 Elliptic curves over finite fields and the computation of square roots mod p. Zbl 0579.14025Schoof, René 124 1985 Class groups of complex quadratic fields. Zbl 0516.12002Schoof, R. J. 5 1983 Quadratic fields and factorization. Zbl 0527.12003Schoof, R. J. 5 1982 all cited Publications top 5 cited Publications all top 5 Cited by 784 Authors 14 Sutherland, Andrew V. 13 Schoof, René 11 Ichimura, Humio 10 Maire, Christian 9 Miret, Josep M. 9 Shparlinski, Igor E. 7 Gras, Georges 7 Schost, Éric 7 Sumida-Takahashi, Hiroki 6 Cohen, Stephen D. 6 Fan, Shuqin 6 Kapetanakis, Giorgos 6 Morain, François 5 Banaszak, Grzegorz 5 Bröker, Reinier 5 Castryck, Wouter 5 Couveignes, Jean-Marc 5 Ezome, Tony 5 Hachenberger, Dirk 5 Hajir, Farshid 5 Han, Wenbao 5 Lercier, Reynald 5 Reis, Lucas 5 Top, Jaap 5 Tran, Ha Thanh Nguyen 5 Vanstone, Scott Alexander 5 Vercauteren, Frederik 5 von zur Gathen, Joachim 4 Brumer, Armand 4 Cornacchia, Pietro 4 De Feo, Luca 4 Gaudry, Pierrick 4 Greither, Cornelius 4 Koblitz, Neal I. 4 Kramer, Kenneth B. 4 Krasoń, Piotr 4 Lauder, Alan G. B. 4 Lauter, Kristin Estella 4 Menezes, Alfred J. 4 Moreno, Ramiro 4 Pujolàs, Jordi 4 Robert, Damien 4 Valls, Magda 4 van der Vlugt, Marcel 4 Vlǎduţ, Sergei Georgievich 4 Washington, Lawrence C. 4 Xing, Chaoping 3 Bach, Eric 3 Barańczuk, Stefan 3 Bisson, Gaetan 3 Deng, Yingpu 3 Dieulefait, Luis Victor 3 Doliskani, Javad 3 Dose, Valerio 3 Farashahi, Reza Rezaeian 3 Feng, Rongquan 3 Fieker, Claus 3 Fukuda, Takashi 3 Gaál, István 3 Gajda, Wojciech 3 Güneri, Cem 3 Harvey, David I. 3 Homma, Masaaki 3 Hoshi, Akinari 3 Howe, Everett W. 3 Huang, Ming-Deh A. 3 James, Kevin 3 Kaplan, Nathan 3 Kontogeorgis, Aristides I. 3 Kundu, Debanjana 3 Lachaud, Gilles 3 Louboutin, Stéphane R. 3 Lubicz, David 3 McGuire, Gary 3 Mercuri, Pietro 3 Mihăilescu, Preda 3 Moisio, Marko J. 3 Nguyen Quang Do, Thong 3 Nitaj, Abderrahmane 3 Ozdemir, Enver 3 Pomerance, Carl Bernard 3 Rani, Mamta 3 Satoh, Takakazu 3 Scholl, Travis 3 Sharma, Avnish K. 3 Sharma, Rajendra Kumar 3 Silverman, Joseph Hillel 3 Smith, Ethan 3 Taya, Hisao 3 Tena Ayuso, Juan Gabriel 3 Thaine, Francisco 3 Tian, Peng 3 Tiwari, Sharwan Kumar 3 Valera, Javier 3 Van der Geer, Gerard 3 Voloch, José Felipe 3 Wake, Preston 3 Wan, Daqing 3 Wu, Hongfeng 3 Yasuda, Masaya ...and 684 more Authors all top 5 Cited in 154 Serials 71 Mathematics of Computation 70 Journal of Number Theory 57 Finite Fields and their Applications 23 Journal de Théorie des Nombres de Bordeaux 21 LMS Journal of Computation and Mathematics 19 Designs, Codes and Cryptography 12 Journal of Symbolic Computation 12 Journal of Cryptology 12 International Journal of Number Theory 11 Applicable Algebra in Engineering, Communication and Computing 10 Proceedings of the American Mathematical Society 9 Journal of Algebra 9 Transactions of the American Mathematical Society 9 The Ramanujan Journal 8 Acta Arithmetica 7 Rocky Mountain Journal of Mathematics 7 Duke Mathematical Journal 7 Journal of Pure and Applied Algebra 7 Manuscripta Mathematica 6 Discrete Mathematics 6 Experimental Mathematics 6 Journal of Discrete Mathematical Sciences & Cryptography 6 Journal of Mathematical Cryptology 6 Research in Number Theory 5 Annales de l’Institut Fourier 5 Mathematische Annalen 5 Proceedings of the Japan Academy. Series A 5 Journal of Complexity 4 Bulletin of the Australian Mathematical Society 4 Compositio Mathematica 4 Computational Complexity 4 Foundations of Computational Mathematics 4 Journal of Algebra and its Applications 3 Communications in Algebra 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 3 Advances in Mathematics 3 Archiv der Mathematik 3 Functiones et Approximatio. Commentarii Mathematici 3 Mathematische Zeitschrift 3 Nagoya Mathematical Journal 3 Osaka Journal of Mathematics 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 European Journal of Combinatorics 3 Bulletin of the American Mathematical Society. New Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Advances in Mathematics of Communications 3 Algebra & Number Theory 3 Cryptography and Communications 3 Science China. Mathematics 3 JSIAM Letters 3 Annales Mathématiques du Québec 2 American Mathematical Monthly 2 Discrete Applied Mathematics 2 Mathematical Notes 2 Applied Mathematics and Computation 2 Inventiones Mathematicae 2 Journal of Combinatorial Theory. Series A 2 Journal of the Mathematical Society of Japan 2 Mathematika 2 Results in Mathematics 2 Theoretical Computer Science 2 Tôhoku Mathematical Journal. Second Series 2 Acta Applicandae Mathematicae 2 Revista Matemática Iberoamericana 2 Applied Mathematics Letters 2 Journal of the American Mathematical Society 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 St. Petersburg Mathematical Journal 2 Annales Mathématiques Blaise Pascal 2 Annals of Mathematics. Second Series 2 Journal of the Australian Mathematical Society 2 Journal of Applied Mathematics and Computing 2 Asian-European Journal of Mathematics 2 European Journal of Mathematics 2 Matematicheskie Voprosy Kriptografii 1 Archive for History of Exact Sciences 1 Computers & Mathematics with Applications 1 Information Processing Letters 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Lithuanian Mathematical Journal 1 Moscow University Mathematics Bulletin 1 Reviews of Modern Physics 1 Russian Mathematical Surveys 1 The Mathematical Intelligencer 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Illinois Journal of Mathematics 1 Information Sciences 1 Publications Mathématiques 1 Journal of Computational and Applied Mathematics 1 Journal of Computer and System Sciences 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Tokyo Journal of Mathematics 1 Topology and its Applications ...and 54 more Serials all top 5 Cited in 33 Fields 582 Number theory (11-XX) 248 Algebraic geometry (14-XX) 125 Information and communication theory, circuits (94-XX) 48 Field theory and polynomials (12-XX) 38 Computer science (68-XX) 21 Group theory and generalizations (20-XX) 13 Combinatorics (05-XX) 12 Geometry (51-XX) 8 Commutative algebra (13-XX) 8 Special functions (33-XX) 7 Numerical analysis (65-XX) 7 Quantum theory (81-XX) 6 \(K\)-theory (19-XX) 4 History and biography (01-XX) 4 Mathematical logic and foundations (03-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Topological groups, Lie groups (22-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) 1 Fluid mechanics (76-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.