Travaux scientifiques
Joël Merker    Rationality in Differential Algebraic Geometry    Abel Symposium 2013, arxiv.org/abs/1405.7625, 47 pages
Joël Merker    Multizeta Calculus, I    arxiv.org/abs/1208.5643, 45 pages
Joël Merker and Masoud Sabzevari    Cartan equivalence for 5-dimensional CR manifolds in C^4 belonging to General Class III-1    arxiv.org/abs/1401.4297, 172 pages
Joël Merker    Courbure des surfaces dans l'espace: le Theorema Egregium de Gauss    arxiv.org/abs/1402.1018, 103 pages
Joël Merker, Samuel Pocchiola and Masoud Sabzevari    Equivalences of 5-dimensional CR manifolds II: General classes I, II, III-1, III-2, IV-1, IV-2    arxiv.org/abs/1311.5669, 95 pages
Joël Merker and Masoud Sabzevari    Cartan equivalences for Levi-nondegenerate hypersurfaces M^3 in C^2 belonging to General Class I    arxiv.org/abs/1401.2963, 35 pages
Joël Merker, Masoud Sabzevari, Amir Hashemi and Benyamin Alizadeh    Lie algebras of infinitesimal CR-automorphisms of finite type, holomorphically nondegenerate, weighted homogeneous, CR-generic submanifolds of C^N    arxiv.org/abs/1304.3041, 27 pages
Joël Merker    On transfer of biholomorphisms across nonminimal loci    arxiv.org/abs/1311.5195, 27 pages
2014
Joël Merker    Algebraic differential equations for entire curves in projective hypersurfaces of general type: optimal lower degree bound    Kobayashi Memorial Symposium, Birkhäuser, 2014, to appear, 99 pages
Joël Merker, Samuel Pocchiola, and Masoud Sabzevari    Canonical Cartan connections on maximally minimal generic submanifolds M^5 in C^4    Electronic Research Announcements, to appear, arxiv.org/abs/1405.5362, 16 pages
Joël Merker, Mansour Aghasi, Benyamin Alizadeh and Masoud Sabzevari    Applications of differential algebra for computing Lie algebras of infinitesimal CR-automorphisms    Sciences in China Mathematics 57 (2014), 1811-1834
2013
Joël Merker    Lie's theory of Transformation Groups I    Springer-Verlag, Berlin, Heidelberg, xiv+647 pages
Joël Merker    Essai de Philosophie Générale des mathématiques    Doctorat de l'Université Paris-Diderot, 703 pages
2012
Joël Merker, Mansour Aghasi, Benyamin Alizadeh and Masoud Sabzevari    A Gröbner-bases algorithm for the computation of the cohomology of Lie (super) algebras    Advances in Applied Clifford Algebras 22 (2012), 911-937
Joël Merker and Masoud Sabzevari    Explicit expression of Cartan's connection for Levi-nondegenerate 3-manifolds in complex surfaces, and identification of the Heisenberg sphere    Central European Journal of Mathematics 10 (2012), 1801-1835
2011
Joël Merker, Mansour Aghasi and Masoud Sabzevari    Effective Cartan-Tanaka connections for C^6-smooth strongly pseudoconvex hypersurfaces M^3 in C^2    arxiv.org/abs/1104.1509, 113 pages
Joël Merker, Mansour Aghasi and Masoud Sabzevari    Effective Cartan-Tanaka connections for C^6-smooth strongly pseudoconvex hypersurfaces M^3 in C^2    Comptes Rendus Mathématiques de l'Académie des Sciences de Paris 349 (2011), 845-848
Joël Merker    Nonrigid spherical real analytic hypersurfaces in C^2    Complex Variables and Elliptic Equations 55 (2010), 1155-1182
2010
Joël Merker, Simone Diverio and Erwan Rousseau    Effective algebraic degeneracy    Inventiones Mathematicae 180 (2010), 161-223
Joël Merker    Le problème de l'Espace    Hermann, Paris, 2010, xxiii+325 pages
2009
Joël Merker and Egmont Porten    The Hartogs extension theorem on (n-1)-complete complex spaces    Journal für die Reine und Angewandte Mathematik 637 (2009), 23-39
Joël Merker    Low pole order frames on vertical jets of the universal hypersurface    Annales de l'Institut Fourier (Grenoble) 59 (2009), 1077-1104
2008
Joël Merker    Lie symmetries and CR geometry    Journal of Mathematical Sciences (New York) 154 (2008), 817-922
Joël Merker    Jets de Demailly-Semple d'ordres 4 et 5 en dimension 2    International Journal of Contemporary Mathematical Sciences 3 (2008), 861-933
2007
Joël Merker and Egmont Porten    A Morse-theoretical proof of the Hartogs extension theorem    Journal of Geometric Analysis 17 (2007), 513-546
Hervé Gaussier and Joël Merker    Erratum to: A new example of a uniformly Levi degenerate hypersurface in C^3 [41 (2003), 85-94]    Arkiv för Matematik 45 (2007), 269-271
2006
Joël Merker and Egmont Porten    Holomorphic extension of CR functions, envelopes of holomorphy, and removable singularities    International Mathematics Research Surveys 2006, Article ID 28925, 287 pages
Joël Merker and Egmont Porten    Characteristic foliations on maximally real submanifolds of C^n and removable singularities for CR functions    International Mathematics Research Papers 2006, Article ID 72069, 131 pages
Joël Merker    Characterization of the Newtonian free particle system in m >= 2 dependent variables    Acta Applicandae Mathematicae 92 (2006), 125-207
2005
Joël Merker    Etude de la régularité analytique de l'application de réflexion CR formelle    Annales de la Faculté des Sciences de Toulouse Mathématiques (6) 14 (2005), 215-330
Joël Merker    The local geometry of generating submanifolds of C^n and the analytic reflection principle    Journal of Mathematical Sciences (New York) 125 (2005), 751-824
2004
Joël Merker    Propagation of analyticity for essentially finite C-infinity-smooth CR mappings    Manuscripta Mathematica 115 (2004), 313-338
Joël Merker and Hervé Gaussier    Nonalgebraizable real analytic tubes in C^n    Mathematische Zeitschrift 247 (2004), 337-383
2003
Joël Merker and Hervé Gaussier    Symmetries of partial differential equations    Journal of the Korean Mathematical Society 40 (2003), 517-561
Joël Merker and Hervé Gaussier    A new example of a uniformly Levi degenerate hypersurface in C^3    Arkiv för Matematik 41 (2003), 85-94
Joël Merker et Hervé Gaussier    Sur l'algébrisabilité locale de sous-variétés analytiques réelles génériques de C^n    Comptes Rendus de l'Académie des Sciences de Paris Série I Mathématiques 336 (2003), 125-128
2002
Joël Merker and Egmont Porten    On wedge extendability of CR-meromorphic functions    Mathematiche Zeitschrift 241 (2002), 485-512
Joël Merker et Sylvain Damour    Sur la convergence d'applications formelles entre sous-variétés analytiques réelles    Bulletin des Sciences Mathématiques 126 (2002), 831-854
Joël Merker    On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle    Annales de l'Institut Fourier (Grenoble) 52 (2002), 1443-1523
Joël Merker, Bernard Coupet, Sylvain Damour et Alexandre Soukhov    Sur l'analyticité des applications CR lisses à valeurs dans un ensemble algébrique réel    Comptes Rendus de l'Académie des Sciences de Paris Série I Mathématiques 334 (2002), 953-956
Joël Merker and Roman Dwilewicz    On the Hartogs-Bochner phenomenon for CR functions in P^2(C)    Proceedings of the American Mathematical Society 130 (2002), 1975-1980
2001
Joël Merker    On the partial algebraicity of holomorphic mappings between two real algebraic sets    Bulletin de la Société Mathématique de France 129 (2001), 547-591
Joël Merker    Convergence of formal invertible CR mappings between minimal holomorphically nondegenerate real analytic hypersurfaces    International Journal of Mathematics and Mathematical Sciences 26 (2001), 281-302
Joël Merker    Etude de l'application de réflexion CR formelle    Comptes Rendus de l'Académie des Sciences de Paris Série I Mathématiques 333 (2001), 165-168
2000
Joël Merker    Etude de l'application de réflexion CR formelle    arxiv.org/abs/math/0005290, v2, 25 juillet 2000, 13 pages
Joël Merker    Study of the formal CR reflection mapping    arxiv.org/abs/math/0005290, v1, 31 May 2000, 19 pages
Joël Merker    Note on double reflection and algebraicity of holomorphic mappings    Annales de la Faculté des Sciences de Toulouse Mathématiques (6) 9 (2000), 689-721
Joël Merker and Egmont Porten    Metrically thin singularities of integrable CR functions    International Journal of Mathematics 11 (2000), 857-872
Joël Merker, Xiaojun Huang and Francine Meylan    Mappings between degenerate real analytic hypersurfaces in C^n    Contemporary Mathematics, 251, Providence, 2000, 321-338
1999
Joël Merker    On the convergence of S-nondegenerate formal CR maps    arxiv.org/abs/9901027, v2, 26 juillet 2000, 38 pages
Joël Merker et Francine Meylan    Extension de germes de difféomorphismes CR pour une classe d'hypersurfaces analytiques réelles non essentiellement finies dans C^3    Complex Variables Theory and Applications 40 (1999), 19-34
Joël Merker and Egmont Porten    On removable singularities for integrable CR functions    Indiana University Mathematics Journal 48 (1999), 805-856
Joël Merker et Egmont Porten    Enveloppe d'holomorphie locale des variétés CR et élimination des singularités pour les fonctions CR intégrables    Comptes Rendus de l'Académie des Sciences de Paris Série I Mathématiques 328 (1999), 853-858
Joël Merker and Francine Meylan    On the Schwarz symmetry principle in a model case    Proceedings of the American Mathematical Society 127 (1999), 1097-1102
1998
Joël Merker and Egmont Porten    On the local meromorphic extension of CR meromorphic mappings    Annales Polonici Mathematici 70 (1998), 163-193
1997
Joël Merker    On removable singularities for CR functions in higher codimension    International Mathematics Research Notices 1997, 21-56
1994
Joël Merker    Global minimality of generic manifolds and holomorphic extendibility of CR functions    International Mathematics Research Notices 1994, 14 pages