Nombre de documents

40

CV de Christophe Ritzenthaler


HDR1 document

  • Christophe Ritzenthaler. Aspects arithmétiques et algorithmiques des courbes de genre 1, 2 et 3. Mathématiques [math]. Université de la Méditerranée - Aix-Marseille II, 2009. <tel-00459554>

Pré-publication, Document de travail7 documents

  • Pinar Kilicer, Hugo Labrande, Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling, et al.. Plane quartics over Q with complex multiplication. 2017-13. 34 pages. 2017. <hal-01455036>
  • Christophe Ritzenthaler, Matthieu Romagny. On the Prym variety of genus 3 covers of genus 1 curves. 6 pages. 2016. <hal-01426349>
  • Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling. Reconstructing plane quartics from their invariants. 36 pages. 2016. <hal-01344035>
  • Christophe Ritzenthaler, Reynald Lercier, Florent Rovetta, Jeroen Sijsling, Benjamin Smith. Distributions of traces of Frobenius for smooth plane curves over finite fields. 2015. <hal-01217995>
  • Enric Nart, Christophe Ritzenthaler. A new proof of a Thomae-like formula for non hyperelliptic genus 3 curves. 18 pages. 2015. <hal-01128237>
  • Christophe Ritzenthaler. Existence d'une courbe de genre 5 sur F_3 avec 13 points rationnels. 5 pages, 1 figure. 2003. <hal-00124378>
  • Christophe Ritzenthaler. Methode A.G.M. pour les courbes ordinaires de genre 3 non hyperelliptiques sur F_{2^N}. 8 pages, french. 2003. <hal-00124379>

Article dans une revue21 documents

  • Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling. Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Mathematics of Computation, American Mathematical Society, 2016, 85 (300), pp.2011-2045. <10.1090/mcom3032>. <hal-00771342>
  • Christophe Ritzenthaler, Noam Elkies, Everett Howe. Genus bounds for curves with fixed Frobenius eigenvalues. Proceedings of the American Mathematical Society, American Mathematical Society, 2014, 142 (1), pp.71-84. <hal-01099960>
  • Christophe Ritzenthaler, David Kohel, Christophe Arene. Complete addition laws on abelian varieties. LMS Journal of Computation and Mathematics, London Mathematical Society, 2012, 15, pp.308-316. <hal-01099955>
  • Reynald Lercier, Christophe Ritzenthaler. Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Journal of Algebra, Elsevier, 2012, 372, pp.595-636. <10.1016/j.jalgebra.2012.07.054>. <hal-00694121>
  • Arnaud Beauville, Christophe Ritzenthaler. Jacobians among abelian threefolds: a geometric approach. Mathematische Annalen, Springer Verlag, 2011, 350 (4), pp.793-799. <10.1007/s00208-010-0583-6>. <hal-00756790>
  • Christophe Ritzenthaler, Christophe Arene, Tanja Lange, Michael Naehrig. Faster computation of the Tate pairing. Journal of Number Theory, Elsevier, 2011, 131 (5), pp.842-857. <hal-01099947>
  • Christophe Ritzenthaler, Arnaud Beauville. Jacobians among abelian threefolds: a geometric approach. Mathematische Annalen, Springer Verlag, 2011, 350 (4), pp.793-799. <hal-01099949>
  • Christophe Ritzenthaler. Optimal curves of genus 1, 2 and 3. Publications mathématiques de Besançon, 2011, pp.99-117. <hal-01099952>
  • Stéphane Ballet, Christophe Ritzenthaler, Robert Rolland. On the existence of dimension zero divisors in algebraic function fields defined over F_q.. Acta Arithmetica, Instytut Matematyczny PAN, 2010, 143 (4), pp.377-392. <hal-01079449>
  • Christophe Ritzenthaler. Explicit computations of Serre's obstruction for genus-3 curves and application to optimal curves. LMS Journal of Computation and Mathematics, London Mathematical Society, 2010, 13, pp.192-207. <hal-01099909>
  • Christophe Ritzenthaler, Stephane Ballet, Rolland Robert. On the existence of dimension zero divisors in algebraic function fields defined over Fq. Acta Arithmetica, Instytut Matematyczny PAN, 2010, 143 (4), pp.377-392. <hal-01099936>
  • Christophe Ritzenthaler, Lachaud Gilles, Alexey Zykin. Jacobians among abelian threefolds: a formula of Klein and a question of Serre. Mathematical Research Letters, 2010, 17 (2), pp.323-333. <hal-01099907>
  • Steven Galbraith, Christophe Ritzenthaler, Jordi Pujolas, Benjamin Smith. Distortion maps for supersingular genus two curves. Journal of Mathematical Cryptology, De Gruyter, 2009, 3 (1), pp.1-18. <10.1515/JMC.2009.001>. <inria-00537877>
  • Christophe Ritzenthaler, Enric Nart, Everett Howe. Jacobians in isogeny classes of abelian surfaces over finite fields. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2009, 59 (1), pp.239-289. <hal-01099900>
  • Christophe Ritzenthaler, Everett Howe, Daniel Maisner, Enric Nart. Principally polarizable isogeny classes of abelian surfaces over finite fields. Mathematical Research Letters, 2008, 15 (1), pp.121-127. <hal-01099892>
  • Christophe Ritzenthaler, Enric Nart. Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Finite Fields and Their Applications, Elsevier, 2008, 14 (3), pp.676-702. <hal-01099893>
  • Christophe Ritzenthaler, David Lehavi. An explicit formula for the arithmetic-geometric mean in genus 3. Experimental Mathematics, Taylor & Francis, 2007, 16 (4), pp.421-440. <hal-01099887>
  • Christophe Ritzenthaler, Enric Nart. Non-hyperelliptic curves of genus three over finite fields of characteristic two. Journal of Number Theory, Elsevier, 2006, 116 (2), pp.443-473. <hal-01099877>
  • Christophe Ritzenthaler, Jeurgen Mueller. On the ring of invariants of ordinary quartic curves in characteristic 2. Journal of Algebra, Elsevier, 2006, 303 (2), pp.530-542. <hal-01099881>
  • Christophe Ritzenthaler, David Kohel, Martine Girard. The Weierstrass subgroup of a curve has maximal rank. Bulletin of the London Mathematical Society, London Mathematical Society, 2006, 38 (6), pp.925-931. <hal-01099884>
  • Christophe Ritzenthaler. Automorphismes des courbes modulaires X(n) en caractéristique p. Manuscripta Math., 2002, 109 (1), pp.49-62. <hal-01099868>

Communication dans un congrès9 documents

  • Reynald Lercier, Christophe Ritzenthaler, Florent Rovetta, Jeroen Sijsling. Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. Algorithmic Number Theory Symposium ANTS-XI, Aug 2014, GyeongJu, South Korea, France. Cambridge University Press, 17, pp.128-147, LMS Journal of Computation and Mathematics. <10.1112/S146115701400031X>. <hal-00980244>
  • Romain Basson, Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling. An explicit expression of the L\"uroth invariant. Manuel Kauers. ISSAC'13, Jun 2013, Boston, United States. Association for Computing Machinery, pp.31-36, 2013, Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation. <10.1145/2465506.2465507>. <hal-00770173>
  • Reynald Lercier, Christophe Ritzenthaler, Jeroen Sijsling. Fast computation of isomorphisms of hyperelliptic curves and explicit descent. Everett W. Howe and Kiran S. Kedlaya. ANTS-X, Jul 2012, San Diego, United States. Mathematical Sciences Publishers, The Open Book Series, 1, pp.463-486, 2013, Proceedings of the Tenth Algorithmic Number Theory Symposium. <10.2140/obs.2013.1.463>. <hal-00694117>
  • Christophe Ritzenthaler, Roger Oyono. On rationality of the intersection points of a line with a plane quartic. WAIFI 2010, 2010, istanbul, Turkey. <hal-01099944>
  • Christophe Ritzenthaler, Enric Nart. Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Arithmetic, geometry, cryptography and coding theory (AGCT), 2009, marseille, France. <hal-01099939>
  • Christophe Ritzenthaler, Lachaud Gilles. On some questions of Serre on abelian threefolds.. Algebraic geometry and its applications (SAGA), 2007, Papeete, France. <hal-01099898>
  • Christophe Ritzenthaler, Stéphane Flon, Roger Oyono. Fast addition on non-hyperelliptic genus 3. Algebraic geometry and its applications (SAGA), 2007, Papeete, France. <hal-01099896>
  • Pierrick Gaudry, Thomas Houtmann, David Kohel, Christophe Ritzenthaler, Annegret Weng. The 2-adic CM method for genus 2 curves with application to cryptography. X. Lay and K. Chen. Asiacrypt 2006, Dec 2006, Shangai, China. Springer-Verlag, 4284, pp.114-129, 2006, Lecture notes in computer science. <inria-00103435>
  • Christophe Ritzenthaler. Point counting on genus 3 non hyperelliptic curves. Algorithmic Number Theory Symposium (ANTS), 2004, Vermont, United States. 2004. <hal-01099875>

Thèse1 document

  • Christophe Ritzenthaler. Problèmes arithmétiques relatifs à certaines familles de courbes sur les corps finis. Mathématiques [math]. Université Paris-Diderot - Paris VII, 2003. Français. <tel-00003070>

Ouvrage (y compris édition critique et traduction)1 document

  • Yves Aubry, Christophe Ritzenthaler, Alexey Zykin. Arithmetic, Geometry, Cryptography and Coding Theory 2011. American Mathematical Society, pp.200, 2012. <hal-00979715>