Edit Profile (opens in new tab) Ritzenthaler, Christophe Co-Author Distance Author ID: ritzenthaler.christophe Published as: Ritzenthaler, Christophe; Ritzenthaler, C. Homepage: https://perso.univ-rennes1.fr/christophe.ritzenthaler/ Documents Indexed: 49 Publications since 2002, including 6 Additional arXiv Preprints 5 Contributions as Editor · 1 Further Contribution Reviewing Activity: 106 Reviews Co-Authors: 45 Co-Authors with 47 Joint Publications 856 Co-Co-Authors all top 5 Co-Authors 7 single-authored 12 Lercier, Reynald 9 Sijsling, Jeroen 8 Howe, Everett W. 7 Lorenzo García, Elisa 6 Nart, Enric 4 Lachaud, Gilles 3 Bassa, Alp 3 Kohel, David R. 2 Arène, Christophe 2 Aubry, Yves 2 Bergström, Jonas 2 Kirschmer, Markus 2 Narbonne, Fabien 2 Oyono, Roger 2 Robert, Damien 2 Rovetta, Florent 2 Tsfasman, Michael A. 2 Zykin, Alexey 1 Ballet, Stéphane 1 Basson, Romain 1 Beauville, Arnaud 1 Elkies, Noam David 1 Flon, Stéphane 1 Galbraith, Steven D. 1 Gaudry, Pierrick 1 Gélin, Alexandre 1 Ghorpade, Sudhir R. 1 Girard, Martine 1 Houtmann, T. 1 Kılıçer, Pınar 1 Labrande, Hugo 1 Lange, Tanja 1 Lehavi, David 1 Liu, Qing 1 Lombardo, Davide M. 1 Maisner, Daniel 1 Müller, Jürgen 1 Naehrig, Michael 1 Oesterlé, Joseph 1 Pujolàs, Jordi 1 Rodier, François 1 Rolland, Robert 1 Romagny, Matthieu 1 Schoof, René 1 Serre, Jean-Pierre 1 Streng, Marco 1 Zykin, A. I. all top 5 Serials 3 Experimental Mathematics 3 LMS Journal of Computation and Mathematics 3 Contemporary Mathematics 2 Mathematics of Computation 2 Acta Arithmetica 2 Journal of Algebra 2 Journal of Number Theory 2 Mathematische Annalen 2 Mathematical Research Letters 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Discrete & Computational Geometry 1 Finite Fields and their Applications 1 Doklady Mathematics 1 JP Journal of Algebra, Number Theory and Applications 1 Panoramas et Synthèses 1 Documents Mathématiques 1 Journal of Mathematical Cryptology 1 Algebra & Number Theory 1 Épijournal de Géométrie Algébrique. EPIGA all top 5 Fields 45 Algebraic geometry (14-XX) 38 Number theory (11-XX) 6 Commutative algebra (13-XX) 4 General and overarching topics; collections (00-XX) 3 Information and communication theory, circuits (94-XX) 2 Associative rings and algebras (16-XX) 1 History and biography (01-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 256 times in 177 Documents Cited by ▼ Year ▼ Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Zbl 1276.14088 Lercier, Reynald; Ritzenthaler, Christophe 33 2012 The 2-adic CM method for genus 2 curves with application to cryptography. Zbl 1172.94576 Gaudry, P.; Houtmann, T.; Kohel, D.; Ritzenthaler, C.; Weng, A. 22 2006 Faster computation of the Tate pairing. Zbl 1222.14069 Arène, Christophe; Lange, Tanja; Naehrig, Michael; Ritzenthaler, Christophe 22 2011 Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058 Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe 15 2009 Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. Zbl 1333.14060 Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen 14 2014 Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Zbl 1343.14047 Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 13 2016 Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051 Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco 13 2018 Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent. Zbl 1344.11049 Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 12 2013 Jacobians among Abel threefolds: a formula of Klein and a question of Serre. Zbl 1228.14028 Lachaud, Gilles; Ritzenthaler, Christophe; Zykin, Alexey 10 2010 On the existence of dimension zero divisors in algebraic function fields defined over \(\mathbb F_q\). Zbl 1211.11129 Ballet, S.; Ritzenthaler, C.; Rolland, R. 10 2010 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 1475.11002 Serre, Jean-Pierre 9 2020 Fast addition on non-hyperelliptic genus 3 curves. Zbl 1151.14313 Flon, Stéphane; Oyono, Roger; Ritzenthaler, Christophe 8 2008 On some questions of Serre on abelian threefolds. Zbl 1151.14321 Lachaud, Gilles; Ritzenthaler, Christophe 8 2008 Explicit computations of Serre’s obstruction for genus-3 curves and application to optimal curves. Zbl 1278.11068 Ritzenthaler, Christophe 7 2010 Distortion maps for supersingular genus two curves. Zbl 1232.11075 Galbraith, Steven D.; Pujolàs, Jordi; Ritzenthaler, Christophe; Smith, Benjamin 7 2009 Point counting on genus 3 non hyperelliptic curves. Zbl 1125.11331 Ritzenthaler, Christophe 6 2004 An explicit expression of the Lüroth invariant. Zbl 1360.68915 Basson, Romain; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 5 2013 Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023 Nart, Enric; Ritzenthaler, Christophe 5 2008 Reconstructing plane quartics from their invariants. Zbl 1439.13020 Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 5 2020 On the Prym variety of genus 3 covers of genus 1 curves. (Sur la variété de Prym des revêtements de genre 3 des courbes de genre 1.) Zbl 1471.14068 Ritzenthaler, Christophe; Romagny, Matthieu 5 2018 Jacobians among abelian threefolds: a geometric approach. Zbl 1228.14027 Beauville, Arnaud; Ritzenthaler, Christophe 4 2011 Reduction type of smooth plane quartics. Zbl 1494.13006 Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe 4 2021 An explicit formula for the arithmetic-geometric mean in genus 3. Zbl 1131.14038 Lehavi, D.; Ritzenthaler, C. 3 2007 Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019 Nart, Enric; Ritzenthaler, Christophe 3 2006 Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045 Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe 3 2008 Spanning the isogeny class of a power of an elliptic curve. Zbl 1486.14046 Kirschmer, Markus; Narbonne, Fabien; Ritzenthaler, Christophe; Robert, Damien 3 2022 Principally polarized squares of elliptic curves with field of moduli equal to \(\mathbb{Q}\). Zbl 1517.11063 Gélin, Alexandre; Howe, Everett; Ritzenthaler, Christophe 3 2019 Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035 Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe 3 2014 Optimal curves of genus 1, 2 and 3. Zbl 1283.11093 Ritzenthaler, Christophe 2 2011 Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036 Nart, Enric; Ritzenthaler, Christophe 2 2010 Automorphism group of \(C:y^3+x^4+1=0\) in characteristic \(p\). Zbl 1078.14038 Ritzenthaler, Christophe 1 2004 A new proof of a Thomae-like formula for non hyperelliptic genus 3 curves. Zbl 1374.14026 Nart, Enric; Ritzenthaler, Christophe 1 2017 Automorphisms of modular curves \(X(n)\) in characterictic \(p\). (Automorphismes des courbes modulaires \(X(n)\) en caractéristique \(p\).) Zbl 1052.11043 Ritzenthaler, Christophe 1 2002 Decomposing Jacobians via Galois covers. Zbl 1525.14036 Lombardo, Davide; García, Elisa Lorenzo; Ritzenthaler, Christophe; Sijsling, Jeroen 1 2023 Distributions of traces of Frobenius for smooth plane curves over finite fields. Zbl 1431.14047 Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen; Smith, Benjamin 1 2019 Stable models of plane quartics with hyperelliptic reduction. Zbl 1519.11035 Lercier, Reynald; Lorenzo García, Elisa; Ritzenthaler, Christophe 1 2021 Decomposing Jacobians via Galois covers. Zbl 1525.14036 Lombardo, Davide; García, Elisa Lorenzo; Ritzenthaler, Christophe; Sijsling, Jeroen 1 2023 Spanning the isogeny class of a power of an elliptic curve. Zbl 1486.14046 Kirschmer, Markus; Narbonne, Fabien; Ritzenthaler, Christophe; Robert, Damien 3 2022 Reduction type of smooth plane quartics. Zbl 1494.13006 Lercier, Reynald; Liu, Qing; Lorenzo García, Elisa; Ritzenthaler, Christophe 4 2021 Stable models of plane quartics with hyperelliptic reduction. Zbl 1519.11035 Lercier, Reynald; Lorenzo García, Elisa; Ritzenthaler, Christophe 1 2021 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 1475.11002 Serre, Jean-Pierre 9 2020 Reconstructing plane quartics from their invariants. Zbl 1439.13020 Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 5 2020 Principally polarized squares of elliptic curves with field of moduli equal to \(\mathbb{Q}\). Zbl 1517.11063 Gélin, Alexandre; Howe, Everett; Ritzenthaler, Christophe 3 2019 Distributions of traces of Frobenius for smooth plane curves over finite fields. Zbl 1431.14047 Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen; Smith, Benjamin 1 2019 Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051 Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco 13 2018 On the Prym variety of genus 3 covers of genus 1 curves. (Sur la variété de Prym des revêtements de genre 3 des courbes de genre 1.) Zbl 1471.14068 Ritzenthaler, Christophe; Romagny, Matthieu 5 2018 A new proof of a Thomae-like formula for non hyperelliptic genus 3 curves. Zbl 1374.14026 Nart, Enric; Ritzenthaler, Christophe 1 2017 Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Zbl 1343.14047 Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 13 2016 Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. Zbl 1333.14060 Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen 14 2014 Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035 Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe 3 2014 Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent. Zbl 1344.11049 Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 12 2013 An explicit expression of the Lüroth invariant. Zbl 1360.68915 Basson, Romain; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 5 2013 Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Zbl 1276.14088 Lercier, Reynald; Ritzenthaler, Christophe 33 2012 Faster computation of the Tate pairing. Zbl 1222.14069 Arène, Christophe; Lange, Tanja; Naehrig, Michael; Ritzenthaler, Christophe 22 2011 Jacobians among abelian threefolds: a geometric approach. Zbl 1228.14027 Beauville, Arnaud; Ritzenthaler, Christophe 4 2011 Optimal curves of genus 1, 2 and 3. Zbl 1283.11093 Ritzenthaler, Christophe 2 2011 Jacobians among Abel threefolds: a formula of Klein and a question of Serre. Zbl 1228.14028 Lachaud, Gilles; Ritzenthaler, Christophe; Zykin, Alexey 10 2010 On the existence of dimension zero divisors in algebraic function fields defined over \(\mathbb F_q\). Zbl 1211.11129 Ballet, S.; Ritzenthaler, C.; Rolland, R. 10 2010 Explicit computations of Serre’s obstruction for genus-3 curves and application to optimal curves. Zbl 1278.11068 Ritzenthaler, Christophe 7 2010 Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036 Nart, Enric; Ritzenthaler, Christophe 2 2010 Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058 Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe 15 2009 Distortion maps for supersingular genus two curves. Zbl 1232.11075 Galbraith, Steven D.; Pujolàs, Jordi; Ritzenthaler, Christophe; Smith, Benjamin 7 2009 Fast addition on non-hyperelliptic genus 3 curves. Zbl 1151.14313 Flon, Stéphane; Oyono, Roger; Ritzenthaler, Christophe 8 2008 On some questions of Serre on abelian threefolds. Zbl 1151.14321 Lachaud, Gilles; Ritzenthaler, Christophe 8 2008 Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023 Nart, Enric; Ritzenthaler, Christophe 5 2008 Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045 Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe 3 2008 An explicit formula for the arithmetic-geometric mean in genus 3. Zbl 1131.14038 Lehavi, D.; Ritzenthaler, C. 3 2007 The 2-adic CM method for genus 2 curves with application to cryptography. Zbl 1172.94576 Gaudry, P.; Houtmann, T.; Kohel, D.; Ritzenthaler, C.; Weng, A. 22 2006 Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019 Nart, Enric; Ritzenthaler, Christophe 3 2006 Point counting on genus 3 non hyperelliptic curves. Zbl 1125.11331 Ritzenthaler, Christophe 6 2004 Automorphism group of \(C:y^3+x^4+1=0\) in characteristic \(p\). Zbl 1078.14038 Ritzenthaler, Christophe 1 2004 Automorphisms of modular curves \(X(n)\) in characterictic \(p\). (Automorphismes des courbes modulaires \(X(n)\) en caractéristique \(p\).) Zbl 1052.11043 Ritzenthaler, Christophe 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 243 Authors 18 Ritzenthaler, Christophe 13 Sijsling, Jeroen 11 Lorenzo García, Elisa 10 Lauter, Kristin Estella 9 Lercier, Reynald 8 Howe, Everett W. 7 Ballet, Stéphane 7 Streng, Marco 6 Kılıçer, Pınar 6 Robert, Damien 5 Olive, Marc 4 Costello, Craig 4 Ionica, Sorina 4 Lubicz, David 4 Rolland, Robert 4 Wu, Hongfeng 4 Zaytsev, Alexey 3 Badr, Eslam E. 3 Bars Cortina, Francesc 3 Haloui, Safia 3 Hidalgo, Rubén Antonio 3 Karemaker, Valentijn 3 Lange, Tanja 3 Le, Duc-Phong 3 Li, Wanlin 3 McGuire, Gary 3 Nart, Enric 3 Pieltant, Julia 3 Pries, Rachel J. 3 Shaska, Tanush 3 Sutherland, Andrew V. 3 Tan, Chik How 3 Tian, Song 2 Aubry, Yves 2 Bernstein, Daniel Julius 2 Bonnecaze, Alexis 2 Bouw, Irene I. 2 Bröker, Reinier 2 Costa, Edgar 2 Desmorat, Rodrigue 2 Dina, Bogdan Adrian 2 El Mrabet, Nadia 2 Feng, Rongquan 2 Frey, Gerhard 2 Guillevic, Aurore 2 Hisil, Huseyin 2 Humphries, Peter J. 2 Kohel, David R. 2 Kolev, Boris 2 Kudo, Momonari 2 Lachaud, Gilles 2 Li, Liangze 2 Lombardo, Davide M. 2 Milio, Enea 2 Naehrig, Michael 2 Ohashi, Ryo 2 Oyono, Roger 2 Randriambololona, Hugues 2 Rovetta, Florent 2 Somoza, Anna 2 Sturmfels, Bernd 2 Takashima, Katsuyuki 2 Thomé, Emmanuel 2 Vincent, Christelle 2 Voight, John Michael 2 Yang, Tonghai 2 Zhang, Fan 1 Achter, Jeffrey D. 1 Agostini, Daniele 1 Alcazar, Juan Gerardo 1 Aleshnikov, S. I. 1 Aranha, Diego F. 1 Arias-de-Reyna, Sara 1 Armana, Cécile 1 Arora, Sonny 1 Artebani, Michela 1 Arul, Vishal 1 Asgarli, Shamil 1 Atighehchi, Kévin 1 Auffray, Nicolas 1 Ballico, Edoardo 1 Baudru, Nicolas 1 Bazan, Erick Rodriguez 1 Beauville, Arnaud 1 Berardini, Elena 1 Bergström, Jonas 1 Beshaj, Lubjana 1 Beuchat, Jean-Luc 1 Booher, Jeremy 1 Bos, Joppe W. 1 Bose, Sownak 1 Bouyer, Florian 1 Breiding, Paul 1 Bremner, Murray R. 1 Brooks, Ernest Hunter 1 Bruce, Juliette 1 Bruin, Nils 1 Carls, Robert 1 Caruso, Xavier 1 Castro, Francis Noel ...and 143 more Authors all top 5 Cited in 61 Serials 15 Mathematics of Computation 9 Finite Fields and their Applications 9 Research in Number Theory 8 Journal of Number Theory 7 LMS Journal of Computation and Mathematics 6 Journal of Cryptology 5 Proceedings of the American Mathematical Society 5 International Journal of Number Theory 4 Journal of Symbolic Computation 4 Designs, Codes and Cryptography 3 Journal of Algebra 3 Journal of Pure and Applied Algebra 3 Applicable Algebra in Engineering, Communication and Computing 3 Experimental Mathematics 3 The Ramanujan Journal 3 Mathematics in Computer Science 2 Acta Arithmetica 2 Archiv der Mathematik 2 Compositio Mathematica 2 Journal of the London Mathematical Society. Second Series 2 Michigan Mathematical Journal 2 Journal of Complexity 2 Algebra & Number Theory 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Russian Mathematical Surveys 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Journal of Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Combinatorial Theory. Series A 1 Journal of the Mathematical Society of Japan 1 Kodai Mathematical Journal 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Computer Aided Geometric Design 1 Discrete & Computational Geometry 1 Journal of Elasticity 1 Expositiones Mathematicae 1 Tatra Mountains Mathematical Publications 1 Arab Journal of Mathematical Sciences 1 Mathematical Problems in Engineering 1 Soft Computing 1 Journal of Combinatorial Optimization 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Revista Matemática Complutense 1 Journal of High Energy Physics 1 Journal of Nonlinear Mathematical Physics 1 Nihonkai Mathematical Journal 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Advances in Mathematics of Communications 1 Asian-European Journal of Mathematics 1 Cryptography and Communications 1 SIAM Journal on Applied Algebra and Geometry 1 Prikladnaya Diskretnaya Matematika all top 5 Cited in 24 Fields 141 Algebraic geometry (14-XX) 97 Number theory (11-XX) 31 Information and communication theory, circuits (94-XX) 11 Computer science (68-XX) 10 Commutative algebra (13-XX) 7 Field theory and polynomials (12-XX) 6 Numerical analysis (65-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Functions of a complex variable (30-XX) 3 Mechanics of deformable solids (74-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Functional analysis (46-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) Citations by Year