Edit Profile (opens in new tab) Serre, Jean-Pierre Co-Author Distance Author ID: serre.jean-pierre Published as: Serre, Jean-Pierre; Serre, J.-P.; Serre, Jean Pierre; Serr, Z.-P. more...less Further Spellings: Серр Жан Пьер Homepage: http://www.college-de-france.fr/site/jean-pierre-serre/index.htm External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Awards: Fields Medal (1954) · Wolf Prize (2000) · Abel Prize (2003) Member of Collective: Bourbaki, Nicolas Documents Indexed: 276 Publications since 1949, including 62 Books 20 Contributions as Editor · 35 Further Contributions Biographic References: 15 Publications Co-Authors: 52 Co-Authors with 94 Joint Publications 1,353 Co-Co-Authors all top 5 Co-Authors 212 single-authored 17 Borel, Armand 14 Cartan, Henri 11 Gabriel, Pierre 10 Grothendieck, Alexander 10 Tate, John Torrence jun. 8 Artin, Michael 8 Demazure, Michel 8 Raynaud, Michèle 7 Bertin, Jean-Étienne 6 Bass, Hyman 6 Milnor, John Willard 5 Dixmier, Jacques 5 Remmert, Reinhold W. 5 Samuel, Pierre 3 Atiyah, Michael Francis 3 Bayer-Fluckiger, Eva 3 Colmez, Pierre 3 Deligne, Pierre René 3 Frobenius, Georg 3 Godement, Roger 3 Hirzebruch, Friedrich 3 Lazard, Michel 3 Mazur, Barry 3 Schwartz, Laurent 3 Thom, René 3 Waldschmidt, Michel 2 Bertrand, Daniel 2 Bruhat, François 2 Cartier, Pierre 2 Cerf, Jean 2 Dieudonné, Jean 2 Ehresmann, Charles 2 Eilenberg, Samuel 2 Frenkel, Jean 2 Fröhlich, Albrecht 2 Hochschild, Gerhard Paul 2 Jannsen, Uwe 2 Kleiman, Steven Lawrence 2 Koszul, Jean-Louis 2 Kuyk, Willem 2 Lauter, Kristin Estella 2 Nicolas, Jean-Louis 2 Tits, Jacques 2 Zagier, Don Bernard 1 Abhyankar, Shreeram Shankar 1 Aguirre Estibalez, Julián 1 Armitage, John Vernon 1 Arnol’d, Vladimir Igorevich 1 Arthur, James Greig 1 Arvonny, Maurice 1 Bassa, Alp 1 Birch, Bryan John 1 Blanchard, André 1 Bogomolov, Fedor Alekseivich 1 Bombieri, Enrico 1 Braconnier, Jean 1 Brown, Martin L. 1 Bushnell, Colin John 1 Carleson, Lennart 1 Cassels, John William Scott 1 Chandrasekharan, Komaravolu 1 Chern, Shiing-Shen 1 Chernousov, Vladimir I. 1 Chevalley, Claude 1 Chowla, Sarvadaman 1 Darmon, Henri René 1 Delsarte, Jean 1 Dolbeault, Pierre 1 Dynkin, Evgeniĭ Borisovich 1 Eisenreich, Günther 1 Ekedahl, Torsten 1 Feit, Walter 1 Garibaldi, Skip 1 Gauthier, Luc 1 Griess, Robert L. jun. 1 Griffiths, Phillip Augustus 1 Gromov, Mikhael Leonidovich 1 Gruenberg, Karl Walter 1 Hasse, Helmut 1 Heilbronn, Hans Arnold 1 Herz, Carl S. 1 Hoechsmann, Klaus 1 Hörmander, Lars Valter 1 Howe, Everett W. 1 Ihara, Yasutaka 1 Iwasawa, Kenkichi 1 Jacobson, Nathan 1 Karoubi, Max 1 Kazhdan, David 1 Klein, Felix 1 Krasner, Marc 1 Kwack, Myung H. 1 Labute, John P. 1 Lang, Serge 1 Larsen, Michael Jeffrey 1 Lax, Peter David 1 Leong, Yu Kiang 1 Leray, Jean 1 Lichnerowicz, Andre 1 Lions, Jacques-Louis ...and 40 more Co-Authors all top 5 Serials 16 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Paris 15 Lecture Notes in Mathematics 8 Commentarii Mathematici Helvetici 8 Annals of Mathematics. Second Series 7 Comptes Rendus de l’Académie des Sciences. Série I 7 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 7 Documents Mathématiques 7 Springer Collected Works in Mathematics 6 Gazette des Mathématiciens 6 Publications Mathématiques 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Graduate Texts in Mathematics 4 American Journal of Mathematics 4 Inventiones Mathematicae 4 L’Enseignement Mathématique. 2e Série 4 Research Notes in Mathematics 4 Springer Monographs in Mathematics 3 Uspekhi Matematicheskikh Nauk [N. S.] 3 Bulletin de la Société Mathématique de France 3 Journal of Algebra 3 Topology 3 Astérisque 2 Annales de l’Institut Fourier 2 Duke Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 2 Notices of the American Mathematical Society 2 Transformation Groups 2 Aspects of Mathematics 2 Colloques Internationaux du Centre National de la Recherche Scientifique 2 Proceedings of Symposia in Pure Mathematics 2 Mathematical Medley 1 Israel Journal of Mathematics 1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV) 1 Acta Scientiarum Mathematicarum 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Bulletin des Sciences Mathématiques. Deuxième Série 1 Compositio Mathematica 1 Glasgow Mathematical Journal 1 Indagationes Mathematicae 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematics of the USSR. Izvestiya 1 Transactions of the American Mathematical Society 1 \(K\)-Theory 1 Journal of the American Mathematical Society 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 La Vie des Sciences 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Geometry 1 Izvestiya: Mathematics 1 The Asian Journal of Mathematics 1 Moscow Mathematical Journal 1 Bulletin of the American Mathematical Society 1 Journal of the London Mathematical Society 1 Bulletin de la Société Mathématique de France. Supplément. Mémoires 1 Annals of Mathematics Studies 1 Logik und Grundlagen der Mathematik 1 Mathematical Sciences Research Institute Publications 1 University Lecture Series 1 Journal of \(K\)-Theory 1 Surveys of Modern Mathematics all top 5 Fields 113 Algebraic geometry (14-XX) 111 Number theory (11-XX) 67 Group theory and generalizations (20-XX) 39 History and biography (01-XX) 30 General and overarching topics; collections (00-XX) 25 Field theory and polynomials (12-XX) 24 Topological groups, Lie groups (22-XX) 10 Commutative algebra (13-XX) 10 Nonassociative rings and algebras (17-XX) 10 Algebraic topology (55-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Manifolds and cell complexes (57-XX) 5 Associative rings and algebras (16-XX) 4 Category theory; homological algebra (18-XX) 4 \(K\)-theory (19-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 266 Publications have been cited 11,591 times in 9,562 Documents Cited by ▼ Year ▼ Galois properties of points of finite order of elliptic curves. (Propriétés galoisiennes des points d’ordre fini des courbes elliptiques.) Zbl 0235.14012Serre, Jean-Pierre 548 1972 A course in arithmetic. Zbl 0256.12001Serre, Jean-Pierre 496 1973 Good reduction of abelian varieties. Zbl 0172.46101Serre, Jean-Pierre; Tate, J. 374 1968 Faisceaux algébriques cohérents. Zbl 0067.16201Serre, Jean-Pierre 372 1955 Algebraic number theory. Zbl 0153.07403 331 1967 Local fields. (Corps locaux.) Zbl 0137.02601Serre, Jean-Pierre 327 1962 Linear representations of finite groups. Translated from the French by Leonard L. Scott. Zbl 0355.20006Serre, Jean-Pierre 312 1977 Trees. Transl. from the French by John Stillwell. Zbl 0548.20018Serre, Jean-Pierre 296 1980 Groupes algébriques et corps de classes. Zbl 0097.35604Serre, Jean-Pierre 283 1959 Local fields. Translated from the French by Marvin Jay Greenberg. Zbl 0423.12016Serre, Jean-Pierre 278 1979 Homologie singulière des espaces fibrés. Applications. Zbl 0045.26003Serre, Jean-Pierre 268 1951 Galois Cohomology. 5ème éd., rév. et complété. (Cohomologie Galoisienne.) Zbl 0812.12002Serre, Jean-Pierre 240 1994 Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault). Zbl 0274.22011Borel, Armand; Serre, Jean-Pierre 236 1973 Théoremes de finitude en cohomologie galoisienne. Zbl 0143.05901Borel, Armand; Serre, Jean-Pierre 214 1964 On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\). (Sur les représentations modulaires de degré 2 de \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\).) Zbl 0641.10026Serre, Jean-Pierre 204 1987 Algebraic geometry and analytic geometry. (Géométrie algébrique et géométrie analytique.) Zbl 0075.30401Serre, Jean-Pierre 198 1956 Formes modulaires de poids 1. Zbl 0321.10026Deligne, Pierre; Serre, Jean-Pierre 197 1974 Quelques applications du théorème de densité de Chebotarev. Zbl 0496.12011Serre, Jean-Pierre 193 1981 Cohomology of Lie algebras. Zbl 0053.01402Hochschild, G.; Serre, Jean-Pierre 189 1953 Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\). Zbl 0174.05203Bass, H.; Milnor, John W.; Serre, Jean-Pierre 178 1967 Cohomology of group extensions. Zbl 0050.02104Hochschild, G.; Serre, Jean-Pierre 165 1953 Groupes d’homotopie et classes de groupes abéliens. Zbl 0052.19303Serre, Jean-Pierre 162 1953 Le problème des groupes de congruence pour \(SL_2\). Zbl 0239.20063Serre, Jean-Pierre 159 1970 Lie algebras and Lie groups. 1964 lectures given at Harvard University. Zbl 0132.27803Serre, Jean-Pierre 153 1965 Cohomological invariants in Galois cohomology. Zbl 1159.12311Garibaldi, Skip; Merkurjev, Alexander; Serre, Jean-Pierre 146 2003 Schémas en groupes. II: Groupes de type multiplicatif, et structure des schémas en groupes généraux. Exposés VIII à XVIII. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3) dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint. Zbl 0209.24201 145 1970 Completely continuous endomorphisms of \(p\)-adic Banach spaces. (Endomorphismes complètement continus des espaces de Banach \(p\)-adiques.) Zbl 0104.33601Serre, Jean-Pierre 124 1962 A course in arithmetic. (Cours d’arithmétique.) Zbl 0225.12002Serre, Jean-Pierre 124 1970 Algèbre locale, multiplicités. Zbl 0091.03701Serre, Jean-Pierre 122 1960 Un théorème de dualité. Zbl 0067.16101Serre, Jean-Pierre 119 1955 Sur la dimension cohomologique des groupes profinis. Zbl 0136.27402Serre, Jean-Pierre 119 1965 Topics in Galois theory. Notes written by Henri Darmon. Zbl 0746.12001Serre, Jean-Pierre 118 1992 Trees. Transl. from the French by John Stillwell. Corrected 2nd printing of the 1980 original. Zbl 1013.20001Serre, Jean-Pierre 114 2003 Le théorème de Riemann-Roch. Zbl 0091.33004Borel, Armand; Serre, Jean-Pierre 110 1958 Arbres, amalgames, \(\mathrm{SL}_2\). Rédigé avec la collaboration de Hyman Bass. Zbl 0369.20013Serre, Jean-Pierre 109 1977 Algèbres de Lie semi-simples complexes. Zbl 0144.02105Serre, Jean-Pierre 108 1966 Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed. Zbl 0142.28603Serre, Jean-Pierre 106 1965 Asymptotic distribution of eigenvalues of the Hecke operators \(T_ p\). (Répartition asymptotique des valeurs propres de l’opérateur de Hecke \(T_ p\).) Zbl 0871.11032Serre, Jean-Pierre 102 1997 Abelian \(\ell\)-adic representations and elliptic curves. Written with the collaboration of Willem Kuyk and John Labute. Zbl 0186.25701Serre, Jean-Pierre 95 1968 Local fields. 4th corrected ed. (Corps locaux.) Zbl 1095.11504Serre, Jean-Pierre 94 2004 Cohomologie des groupes discrets. Zbl 0229.57016Serre, Jean-Pierre 94 1971 Cohomologie modulo 2 des complexes d’Eilenberg-MacLane. Zbl 0052.19501Serre, Jean-Pierre 85 1953 The Witt invariant of the form \(\text{Tr}(x^ 2)\). (L’invariant de Witt de la forme \(\text{Tr}(x^ 2)\).) Zbl 0565.12014Serre, Jean-Pierre 82 1984 Sur le nombre des points rationnels d’une courbe algébrique sur un corps fini. Zbl 0538.14015Serre, Jean-Pierre 80 1983 Divisibilite de certaines fonctions arithmétiques. Zbl 0355.10021Serre, Jean-Pierre 78 1976 Abelian \(\ell\)-adic representations and elliptic curves. Zbl 0902.14016Serre, Jean-Pierre 75 1998 Galois cohomology. Transl. from the French by Patrick Ion. Zbl 0902.12004Serre, Jean-Pierre 72 1997 Lie algebras and Lie groups. 1964 lectures, given at Harvard University. 2nd ed. Zbl 0742.17008Serre, Jean-Pierre 71 1992 Schémas en groupes. I: Propriétés générales des schémas en groupes. Exposés I à VIIb. Séminaire de Géométrie Algébrique 1962/64, dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint. Zbl 0207.51401 71 1970 Algebraic groups and class fields. Transl. of the French edition. Zbl 0703.14001Serre, Jean-Pierre 70 1988 Groupes de Lie et puissances réduites de Steenrood. Zbl 0050.39603Borel, Armand; Serre, Jean-Pierre 66 1953 Arbres, amalgames et \(SL_2\). Zbl 0302.20039Serre, Jean-Pierre 65 1974 Cohomologie d’immeubles et de groupes S-arithmétiques. Zbl 0338.20055Borel, Armand; Serre, Jean-Pierre 65 1976 Corps locaux et isogénies. Zbl 0137.02501Serre, Jean-Pierre 65 1959 Schémas en groupes. III: Structure des schémas en groupes réductifs. Exposés XIX à XXVI. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3), dirigé par Michel Demazure et Alexander Grothendieck. Revised reprint. Zbl 0212.52810 65 1970 Sur la lacunarité des puissances de \(\eta\) . (Lacunarity of powers of \(\eta\) ). Zbl 0583.10015Serre, Jean-Pierre 60 1985 Subgroups of finite index in \(\mathrm{SL}(n,\mathbb Z)\). (Sous-groupes d’indice fini dans \(\mathrm{SL}(n,\mathbb Z)\).) Zbl 0232.20086Bass, H.; Lazard, M.; Serre, Jean-Pierre 60 1964 Cohomologie galoisienne. Cours au Collège de France, 1962–1963. 3ième éd. Zbl 0136.02801Serre, Jean-Pierre 59 1965 Galois cohomology. Transl. from the French by Patrick Ion. 2nd printing. Zbl 1004.12003Serre, Jean-Pierre 58 2002 Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. Zbl 0676.14005Serre, Jean-Pierre 54 1989 On a theorem of Jordan. Zbl 1047.11045Serre, Jean-Pierre 54 2003 On the index of a fibered manifold. Zbl 0083.17801Chern, Shiing-Shen; Hirzebruch, Friedrich; Serre, Jean-Pierre 54 1957 Cohomologie galoisienne. Cours au Collège de France, 1962–1963. Seconde édition. Zbl 0128.26303Serre, Jean-Pierre 53 1964 Conjectural properties of motivic Galois groups and \(\ell\)-adic representations. (Propriétés conjecturales des groupes de Galois motiviques et des représentations \(\ell\)-adiques.) Zbl 0812.14002Serre, Jean-Pierre 51 1994 \(p\)-adic modular forms and \(p\)-adic zeta functions. (Formes modulaires et fonctions zêta \(p\)-adiques.) Zbl 0277.12014Serre, Jean-Pierre 50 1973 Lectures on \(N_X(p)\). Zbl 1238.11001Serre, Jean-Pierre 48 2012 Groupes de Grothendieck des schemas en groupes reductifs deployes. Zbl 0195.50802Serre, Jean-Pierre 48 1968 Représentations linéaires des groupes finis. 3e ed. corr. Zbl 0407.20003Serre, Jean-Pierre 47 1978 Modules projectifs et espaces fibrés à fibre vectorielle. Zbl 0132.41202Serre, Jean-Pierre 47 1958 Abelian \(\ell\)-adic representations and elliptic curves. Reprint. Zbl 0709.14002Serre, Jean-Pierre 44 1989 Sur la topologie des variétés algébriques en caractéristique \(p\). Zbl 0098.13103Serre, Jean-Pierre 44 1958 Prolongement de faisceaux analytiques cohérents. Zbl 0144.08003Serre, Jean-Pierre 44 1966 Cours d’arithmétique. 2me ed. Zbl 0376.12001Serre, Jean-Pierre 42 1977 Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. 3rd ed. Zbl 0863.14013Serre, Jean-Pierre 39 1997 Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017Waldschmidt, Michel 38 1979 Sur l’algébricité des représentations l-adiques. Zbl 0457.14020Bogomolov, Fedor Alekseivich 38 1980 Quelques problèmes globaux rélatifs aux variétés de Stein. Zbl 0053.05302Serre, Jean-Pierre 36 1953 On the fundamental group of a unirational variety. Zbl 0097.36301Serre, Jean-Pierre 36 1959 Galois cohomology: progress and problems. (Cohomologie galoisienne: Progrès et problèmes.) Zbl 0837.12003Serre, Jean-Pierre 36 1995 Représentations linéaires des groupes finis. 2e éd., refondue. (Linear representations of finite groups. 2nd ed., revised). Zbl 0223.20003Serre, Jean-Pierre 36 1971 Cohomology of discrete groups. (Cohomologie des groupes discrets.) Zbl 0273.57022Serre, Jean-Pierre 35 1971 Local algebra. Transl. from the French by CheeWhye Chin. Zbl 0959.13010Serre, Jean-Pierre 35 2000 Sur certaines sous-groupes des groupes de Lie compacts. Zbl 0051.01902Borel, Armand; Serre, Jean-Pierre 35 1953 Cohomologie Galoisienne. Cours au College de France, 1962-1963. 4e ed. Zbl 0259.12011Serre, Jean-Pierre 35 1973 Groupes finis d’automorphismes d’anneaux locaux réguliers. Zbl 0200.00002Serre, Jean-Pierre 35 1968 Divisibilite des coefficients des formes modulaires de poids entier. Zbl 0304.10017Serre, Jean-Pierre 32 1974 Proalgebraic groups. (Groupes proalgébriques.) Zbl 0097.35901Serre, Jean-Pierre 32 1961 On the semisimplicity of tensor products of representations of groups. (Sur la semi-simplicité des produits tensoriels de représentations de groupes.) Zbl 0816.20014Serre, Jean-Pierre 31 1994 Optimal \(\text{SL}(2)\)-homomorphisms. Zbl 1097.20040McNinch, George J. 30 2005 Examples for embeddings of groups \(\text{PSL}_ 2(F_ p)\) into simple Lie groups. (Exemples de plongements des groupes \(\text{PSL}_ 2(F_ p)\) dans des groupes de Lie simples.) Zbl 0877.20033Serre, Jean-Pierre 30 1996 Sur les corps locaux à corps résiduel algébriquement clos. Zbl 0166.31103Serre, Jean-Pierre 30 1961 Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné). Zbl 0870.11030Serre, Jean-Pierre 29 1996 Examples de variétés projectives conjuguees non homeomorphes. Zbl 0117.38003Serre, Jean-Pierre 29 1964 Seminar on complex multiplication. Seminar held at the Institute for Advanced Study, Princeton, N.J., 1957–58. Zbl 0147.03902Borel, Armand; Chowla, Sarvadaman; Herz, C. S.; Iwasawa, K.; Serre, Jean-Pierre 28 1966 The Cremona group and its finite subgroups. (Le groupe de Cremona et ses sous-groupes finis.) Zbl 1257.14012Serre, Jean-Pierre 28 2010 Modular forms of weight one and Galois representations. (Prepared in collaboration with C. J. Bushnell.). Zbl 0366.10022Serre, Jean-Pierre 27 1977 Local class field theory. Zbl 1492.11158Serre, J.-P. 27 1967 Représentations linéaires des groupes finis. I: Représentations et caractères. II: Complements. III: Introduction à la théorie de Brauer. Zbl 0189.02603Serre, Jean-Pierre 27 1967 Cohomologie des groupes discrets. (Cohomology of discrete groups). Zbl 0235.22020Serre, Jean-Pierre 27 1971 Complete reducibility. (Complète réductibilité.) Zbl 1156.20313Serre, Jean-Pierre 26 2005 Groupes de Coxeter finis: involutions et cubes. Zbl 07556767Serre, Jean-Pierre 1 2022 Lines on cubic surfaces, Witt invariants and Stiefel-Whitney classes. Zbl 1471.12005Bayer-Fluckiger, Eva; Serre, Jean-Pierre 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 1475.11002Serre, Jean-Pierre 3 2020 Asymptotic distribution of the eigenvalues of Frobenius endomorphisms after Abel, Chebyshev, Robinson,…. (Distribution asymptotique des valeurs propres des endomorphismes de Frobenius d’après Abel, Chebyshev, Robinson,….) Zbl 1492.30020Serre, Jean-Pierre 2 2019 On the mod \(p\) reduction of orthogonal representations. Zbl 1455.20009Serre, Jean-Pierre 2 2018 Finite groups. An introduction. Zbl 1347.20014Serre, Jean-Pierre 6 2016 Correspondence Serre – Tate. Volume II. (Correspondance Serre – Tate. Volume II.) Zbl 1326.11002 2 2015 Autodual normal bases and unitary groups of characteristic 2. (Bases normales autoduales et groupes unitaires en caractéristique 2.) Zbl 1321.11044Serre, Jean-Pierre 8 2014 A criterion for independence of a family of \(\ell\)-adic representations. (Un critère d’indépendance pour une famille de représentations \(\ell\)-adiques.) Zbl 1317.14040Serre, Jean-Pierre 12 2013 Hasse principle for \(G\)-trace forms. Zbl 1368.11030Bayer-Fluckiger, E.; Parimala, R.; Serre, J.-P. 5 2013 Œuvres. Collected papers. Vol. I: 1949–1959, Vol. II: 1960–1971, Vol. III: 1972–1984, Vol. IV: 1985–1998. Paperback reprint of the 2003 edition. Zbl 1278.01034Serre, Jean-Pierre 3 2013 Lectures on \(N_X(p)\). Zbl 1238.11001Serre, Jean-Pierre 48 2012 The nilpotence order of the mod 2 Hecke operators. (Formes modulaires modulo 2 : l’ordre de nilpotence des opérateurs de Hecke.) Zbl 1275.11073Nicolas, Jean-Louis; Serre, Jean-Pierre 22 2012 Modular forms mod 2: structure of the Hecke ring. (Formes modulaires modulo 2 : structure de l’algèbre de Hecke.) Zbl 1275.11074Nicolas, Jean-Louis; Serre, Jean-Pierre 11 2012 Seminar on algebraic geometry at Bois Marie 1962-64. Group schemes (SGA 3). Vol. I: General properties of group schemes. Directed by M. Damazure and A. Grothendieck with the collaboration of M. Artin, J.-E. Bertin, P. Gabriel, M. Raynaud and J.-P. Serre. New annotated edition of the 1970 original published bei Springer. (Séminaire de géométrie algébrique du Bois Marie 1962-64. Schémas en groupes (SGA 3). Tome I: Propriétés générales des schémas en groupes.) Zbl 1241.14002 26 2011 Seminar on algebraic geometry at Bois Marie 1962-64. Group schemes (SGA 3). Vol. III: Structure of reductive group schemes. Directed by M. Damazure and A. Grothendieck with the collaboration of M. Artin, J.-E. Bertin, P. Gabriel, M. Raynaud and J.-P. Serre. New annotated edition of the 1970 original published bei Springer. (Séminaire de géométrie algébrique du Bois Marie 1962-64. Schémas en groupes (SGA 3). Tome III: Structure des schémas en groupes réductifs.) Zbl 1241.14003 9 2011 The Cremona group and its finite subgroups. (Le groupe de Cremona et ses sous-groupes finis.) Zbl 1257.14012Serre, Jean-Pierre 28 2010 A Minkowski-style bound for the orders of the finite subgroups of the Cremona group of rank 2 over an arbitrary field. Zbl 1203.14017Serre, Jean-Pierre 20 2009 How to use finite fields for problems concerning infinite fields. Zbl 1199.14007Serre, Jean-Pierre 10 2009 A complement to the note by Lassina Dembélé “A non-solvable Galois extension of \(\mathbb Q\) ramified at 2 only”. (Un complément à la note de Lassina Dembélé.) Zbl 1167.11041Serre, Jean-Pierre 2 2009 The trace problem for totally positive algebraic integers. With an appendix by Jean-Pierre Serre. Zbl 1266.11113Aguirre, Julián; Peral, Juan Carlos 25 2008 Three letters to Walter Feit on group representations and quaternions. Zbl 1140.20006Serre, Jean-Pierre 8 2008 Two letters to Jaap Top. Zbl 1151.14322Serre, Jean-Pierre 1 2008 Topics in Galois theory. Notes written by Henri Darmon. 2nd ed. Zbl 1128.12001Serre, Jean-Pierre 20 2007 Bounds for the orders of the finite subgroups of \(G(k)\). Zbl 1160.20043Serre, Jean-Pierre 18 2007 Lower bounds for essential dimensions via orthogonal representations. Zbl 1181.20042Chernousov, Vladimir; Serre, Jean-Pierre 14 2006 The trace form of a central simple algebra of degree 4. (La forme trace d’une algèbre simple centrale de degré 4.) Zbl 1110.16014Rost, Markus; Serre, Jean-Pierre; Tignol, Jean-Pierre 13 2006 Optimal \(\text{SL}(2)\)-homomorphisms. Zbl 1097.20040McNinch, George J. 30 2005 Complete reducibility. (Complète réductibilité.) Zbl 1156.20313Serre, Jean-Pierre 26 2005 Local fields. 4th corrected ed. (Corps locaux.) Zbl 1095.11504Serre, Jean-Pierre 94 2004 Cohomological invariants in Galois cohomology. Zbl 1159.12311Garibaldi, Skip; Merkurjev, Alexander; Serre, Jean-Pierre 146 2003 Trees. Transl. from the French by John Stillwell. Corrected 2nd printing of the 1980 original. Zbl 1013.20001Serre, Jean-Pierre 114 2003 On a theorem of Jordan. Zbl 1047.11045Serre, Jean-Pierre 54 2003 Œuvres. Collected papers. Vol. I: 1949–1959, Vol. II: 1960–1971, Vol. III: 1972–1984, Vol. IV: 1985–1998. Corrected 2nd printing of the 1st ed. Zbl 1110.01012Serre, Jean-Pierre 1 2003 Galois cohomology. Transl. from the French by Patrick Ion. 2nd printing. Zbl 1004.12003Serre, Jean-Pierre 58 2002 The maximum or minimum number of rational points on genus three curves over finite fields. Zbl 1031.11038Lauter, Kristin; Serre, Jean-Pierre 18 2002 History of the ‘modularity conjecture’. (L’histoire de la ‘modularity conjecture’.) Zbl 1051.11501Serre, J.-P. 2 2002 Correspondence Grothendieck-Serre. (Correspondance Grothendieck-Serre.) Zbl 0986.01019 20 2001 Geometric methods for improving the upper bounds on the number of rational points on algebraic curves over finite fields. Appendice by J. -P. Serre. Zbl 0982.14015Lauter, Kristin 19 2001 Complex semisimple Lie algebras. Translated from the French by G. A. Jones. Reprint of the 1987 ed. Zbl 1058.17005Serre, Jean-Pierre 14 2001 Exposés de séminaires. 1950–1999. (Exposes of seminars. 1950–1999). Reprints. (Exposés de séminaires. 1950–1999.) Zbl 1005.01012Serre, Jean Pierre 3 2001 Local algebra. Transl. from the French by CheeWhye Chin. Zbl 0959.13010Serre, Jean-Pierre 35 2000 Œuvres. Collected papers. Vol. IV: 1985–1998. Zbl 0933.01034Serre, Jean-Pierre 16 2000 Finite subgroups of Lie groups. (Sous-groupes finis des groupes de Lie.) Zbl 0968.20025Serre, Jean-Pierre 6 2000 Abelian \(\ell\)-adic representations and elliptic curves. Zbl 0902.14016Serre, Jean-Pierre 75 1998 Linear representations of finite groups. 5th ed., corr. and enlarged with new exercisies. 5ième éd., corr. et augm. de nouveaux exercices. (Représentations linéaires des groupes finis. 5ième éd., corr. et augm. de nouveaux exercices.) Zbl 0926.20003Serre, Jean-Pierre 8 1998 Embeddings of \(\text{PGL}_2(31)\) and \(\text{SL}_2(32)\) in \(E_8(\mathbb{C})\). With appendices by Michael Larsen and J. -P. Serre. Zbl 0980.20035Griess, Robert L. jun.; Ryba, A. J. E. 4 1998 The Euler-Poincaré distribution of a profinite group. (La distribution d’Euler-Poincaré d’un groupe profini.) Zbl 0943.20024Serre, Jean-Pierre 3 1998 Asymptotic distribution of eigenvalues of the Hecke operators \(T_ p\). (Répartition asymptotique des valeurs propres de l’opérateur de Hecke \(T_ p\).) Zbl 0871.11032Serre, Jean-Pierre 102 1997 Galois cohomology. Transl. from the French by Patrick Ion. Zbl 0902.12004Serre, Jean-Pierre 72 1997 Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. 3rd ed. Zbl 0863.14013Serre, Jean-Pierre 39 1997 Semisimplicity and tensor products of group representations: Converse theorems. (With an appendix by Walter Feit). Zbl 0896.20004Serre, Jean-Pierre 12 1997 Two letters on the non-Abelian cohomology. (Deux lettres sur la cohomologie non abélienne.) Zbl 0886.20035Serre, Jean-Pierre 1 1997 Examples for embeddings of groups \(\text{PSL}_ 2(F_ p)\) into simple Lie groups. (Exemples de plongements des groupes \(\text{PSL}_ 2(F_ p)\) dans des groupes de Lie simples.) Zbl 0877.20033Serre, Jean-Pierre 30 1996 Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné). Zbl 0870.11030Serre, Jean-Pierre 29 1996 The works of Wiles (and Taylor,\(\dots\)). I. (Travaux de Wiles (et Taylor,\(\dots\)). I.) Zbl 0957.11027Serre, Jean-Pierre 4 1996 Galois cohomology: progress and problems. (Cohomologie galoisienne: Progrès et problèmes.) Zbl 0837.12003Serre, Jean-Pierre 36 1995 Galois Cohomology. 5ème éd., rév. et complété. (Cohomologie Galoisienne.) Zbl 0812.12002Serre, Jean-Pierre 240 1994 Conjectural properties of motivic Galois groups and \(\ell\)-adic representations. (Propriétés conjecturales des groupes de Galois motiviques et des représentations \(\ell\)-adiques.) Zbl 0812.14002Serre, Jean-Pierre 51 1994 On the semisimplicity of tensor products of representations of groups. (Sur la semi-simplicité des produits tensoriels de représentations de groupes.) Zbl 0816.20014Serre, Jean-Pierre 31 1994 Symmetric power \(L\)-functions for \(GL(2)\). Zbl 0833.11016Shahidi, Freydoon 23 1994 Quadratic torsions and selfdual normal bases. (Torsions quadratiques et bases normales autoduales.) Zbl 0804.12004Bayer-Fluckiger, Eva; Serre, Jean-Pierre 14 1994 Square-root parametrization of plane curves. Appendix by J.-P. Serre. Zbl 0830.12002Abhyankar, Shreeram S. 2 1994 Motives. Proceedings of the summer research conference on motives, held at the University of Washington, Seattle, WA, USA, July 20-August 2, 1991. Zbl 0788.00054 1 1994 Examples of algebraic curves with totally split Jacobian. (Exemples de courbes algébriques à jacobienne complètement décomposable.) Zbl 0789.14026Ekedahl, Torsten; Serre, Jean-Pierre 18 1993 Gebras. (Gèbres.) Zbl 0810.16039Serre, Jean-Pierre 6 1993 Smith, Minkowski and the Academy of Sciences. (Smith, Minkowski et l’Académie des Sciences.) Zbl 0785.01009Serre, Jean-Pierre 2 1993 Topics in Galois theory. Notes written by Henri Darmon. Zbl 0746.12001Serre, Jean-Pierre 118 1992 Lie algebras and Lie groups. 1964 lectures, given at Harvard University. 2nd ed. Zbl 0742.17008Serre, Jean-Pierre 71 1992 Coverings of algebraic curves. (Revêtements de courbes algébriques.) Zbl 0798.14014Serre, Jean-Pierre 4 1992 Letter to M. Tsfasman. (Lettre à M. Tsfasman.) Zbl 0758.14008Serre, Jean-Pierre 19 1991 Motives. - Appendix: Some texts by Grothendieck on motives. (Motifs. - Annexe: Quelques textes de Grothendieck sur les motifs.) Zbl 0759.14002Serre, Jean-Pierre 1 1991 Construction de revêtements étales de la droite affine en caractéristique p. (Construction of étale coverings of the affine line in characteristic p). Zbl 0726.14021Serre, Jean-Pierre 25 1990 Coverings with odd ramification and theta-characteristics. (Revêtements à ramification impaire et thêta-caractéristiques.) Zbl 0742.14030Serre, Jean-Pierre 13 1990 Spécialisation des éléments de \(Br_ 2({\mathbb{Q}}(T_ 1,\cdot \cdot \cdot,T_ n))\). (Specialization of elements of \(Br_ 2({\mathbb{Q}}(T_ 1,\cdot \cdot \cdot,T_ n)))\). Zbl 0711.13002Serre, Jean-Pierre 10 1990 Relèvements dans \({\mathfrak A}\tilde {\;}\). (\({\mathfrak A}\tilde {\;}\)- liftings). Zbl 0714.20003Serre, Jean-Pierre 8 1990 Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. Zbl 0676.14005Serre, Jean-Pierre 54 1989 Abelian \(\ell\)-adic representations and elliptic curves. Reprint. Zbl 0709.14002Serre, Jean-Pierre 44 1989 Algèbre locale. Multiplicités. (Local algebra. Multiplicities). Cours au Collège de France, 1957-1958. Rédigé par Pierre Gabriel. Troisième éd., 2nd corrected printing. Zbl 0661.13008Serre, Jean-Pierre 3 1989 Galois groups over \({\mathbb{Q}}\). Proceedings of a workshop held at the Mathematical Sciences Research Institute, Berkeley, CA (USA), March 23- 27, 1987. Zbl 0684.00005 1 1989 Rapport au comité Fields sur les travaux de A. Grothendieck. (Report to the Fields Committee concerning the work of A. Grothendieck). Zbl 0683.01014Serre, Jean-Pierre 1 1989 Lectures on the icosahedron and the solution of equations of order 5. (Lektsii ob ikosaehdre i reshenii uravnenij pyatoj stepeni). Transl. from the German by A. L. Gorodentsev and A. A. Kirillov. Transl. ed. by A. N. Tyurin. With apendixes by V. I. Arnol’d, J.-P. Serre and A. N. Tyurin. (Lektsii ob ikosaehdre i reshenii uravnenij pyatoj stepeni.) Zbl 0691.51001Klein, F. 1 1989 Algebraic groups and class fields. Transl. of the French edition. Zbl 0703.14001Serre, Jean-Pierre 70 1988 Groupes de Galois sur \({\mathbb{Q}}\). (Galois groups over \({\mathbb{Q}})\). Zbl 0684.12009Serre, Jean-Pierre 2 1988 On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\). (Sur les représentations modulaires de degré 2 de \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\).) Zbl 0641.10026Serre, Jean-Pierre 204 1987 Complex semisimple Lie algebras. Transl. from the French by G. A. Jones. Zbl 0628.17003Serre, Jean-Pierre 13 1987 A relation in the cohomology of \(p\)-groups. (Une relation dans la cohomologie des \(p\)-groupes.) Zbl 0626.20041Serre, Jean-Pierre 8 1987 Nombres transcendants et groupes algébriques. (Transcendental numbers and algebraic groups). Complété par deux appendices de Daniel Bertrand et Jean-Pierre Serre. 2e éd. Zbl 0621.10022Waldschmidt, Michel 4 1987 Letter to J.-F. Mestre. (Lettre à J.-F. Mestre.) Zbl 0629.14016Serre, Jean-Pierre 2 1987 Œuvres. Collected papers. Vol. I: 1949–1959, Vol. II: 1960–1971, Vol. III: 1972–1984. Zbl 0849.01049Serre, Jean-Pierre 2 1986 Sur la lacunarité des puissances de \(\eta\) . (Lacunarity of powers of \(\eta\) ). Zbl 0583.10015Serre, Jean-Pierre 60 1985 \(\Delta\) \(=b^ 2-4ac\). Zbl 0596.12004Serre, Jean-Pierre 1 1985 The Witt invariant of the form \(\text{Tr}(x^ 2)\). (L’invariant de Witt de la forme \(\text{Tr}(x^ 2)\).) Zbl 0565.12014Serre, Jean-Pierre 82 1984 Algebraic groups and class fields. 2nd ed., rev. and corr. (New printing). (Groupes algébriques et corps de classes. 2ième éd., rev. et corr. (Nouv. tirage).) Zbl 0718.14001Serre, Jean-Pierre 8 1984 Sur le nombre des points rationnels d’une courbe algébrique sur un corps fini. Zbl 0538.14015Serre, Jean-Pierre 80 1983 Nombres de points des courbes algébriques sur \(F_ q\). Zbl 0538.14016Serre, Jean-Pierre 4 1983 Quelques applications du théorème de densité de Chebotarev. Zbl 0496.12011Serre, Jean-Pierre 193 1981 Trees. Transl. from the French by John Stillwell. Zbl 0548.20018Serre, Jean-Pierre 296 1980 Sur l’algébricité des représentations l-adiques. Zbl 0457.14020Bogomolov, Fedor Alekseivich 38 1980 Local fields. 3rd corr. ed. (Corps locaux. \(3^e\) éd., corr.) Zbl 0423.12017Serre, Jean-Pierre 14 1980 ...and 166 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,665 Authors 44 Zarkhin, Yuriĭ Gennad’evich 37 Ash, Avner 30 Lubotzky, Alexander 30 Zalesskii, Pavel 27 Serre, Jean-Pierre 26 Mazur, Barry 24 Ono, Ken 23 Dieulefait, Luis Victor 23 Gross, Benedict Hyman 22 Colliot-Thélène, Jean-Louis 22 Mason, Alexander W. 22 Merkur’ev, Aleksandr Sergeevich 20 Grunewald, Fritz J. 19 Gee, Toby 18 Borel, Armand 17 Gunnells, Paul E. 17 Guralnick, Robert Michael 17 Kahn, Bruno 17 Rapinchuk, Andrei S. 17 Zannier, Umberto M. 16 Hida, Haruzo 16 Kato, Kazuya 16 Khare, Chandrashekhar 16 Larsen, Michael Jeffrey 16 Murty, Maruti Ram 16 Reichstein, Zinovy B. 16 Taylor, Richard 15 Clark, Peter Louis 15 Harbater, David 15 Kono, Akira 15 Murty, Vijaya Kumar 15 Schacher, Murray M. 15 Schwermer, Joachim 15 Taylor, Martin J. 15 Vavilov, Nikolaĭ Aleksandrovich 14 Chinburg, Ted 14 Heim, Bernhard Ernst 14 Jarden, Moshe 14 Parimala, Raman 14 Silverman, Joseph Hillel 14 Sonn, Jack 14 Swan, Richard Gordon 13 Chen, Imin 13 Dokchitser, Vladimir 13 Harris, Michael Howard 13 Kucharz, Wojciech 13 Lozano-Robledo, Álvaro 13 Neuhauser, Markus 13 Popov, Vladimir Leonidovich 13 Ribet, Kenneth Alan 13 Rubin, Karl Cooper 13 Sperber, Steven I. 13 Tamagawa, Akio 13 Vaserstein, Leonid N. 13 Virdol, Cristian 12 Adolphson, Alan 12 Baek, Sanghoon 12 Bass, Hyman 12 Borovoi, Mikhail V. 12 Calegari, Frank 12 Cassou-Noguès, Philippe 12 Chernousov, Vladimir I. 12 Cojocaru, Alina Carmen 12 Dokchitser, Tim 12 Freitas, Nuno 12 Gras, Georges 12 Harder, Günter 12 Kang, Ming-Chang 12 Kraus, Alain 12 Rapinchuk, Igor A. 12 Ritter, Jürgen 12 Sarnak, Peter Clive 12 Silverberg, Alice 11 Biswas, Indranil 11 Brussel, Eric S. 11 Buium, Alexandru 11 Dèbes, Pierre 11 Fité, Francesc 11 Gille, Philippe 11 Katz, Nicholas Michael 11 Lombardo, Davide M. 11 McConnell, Mark 11 Oort, Frans 11 Papikian, Mihran 11 Petersen, Sebastian 11 Pollack, Paul 11 Rohrlich, David E. 11 Schneider, Peter 11 Schröer, Stefan 11 Taguchi, Yuichiro 11 Vila, Núria 11 Wan, Daqing 11 Yamauchi, Takuya 10 Andreotti, Aldo 10 Böckle, Gebhard 10 Brion, Michel 10 Brumer, Armand 10 Catanese, Fabrizio M. E. 10 de Cornulier, Yves 10 Doud, Darrin ...and 7,565 more Authors all top 5 Cited in 469 Serials 585 Journal of Algebra 461 Transactions of the American Mathematical Society 453 Journal of Number Theory 339 Inventiones Mathematicae 331 Proceedings of the American Mathematical Society 289 Journal of Pure and Applied Algebra 282 Mathematische Annalen 276 Compositio Mathematica 243 Duke Mathematical Journal 231 Annales de l’Institut Fourier 230 Mathematische Zeitschrift 181 Israel Journal of Mathematics 180 Advances in Mathematics 168 Journal de Théorie des Nombres de Bordeaux 135 Communications in Algebra 131 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 119 Manuscripta Mathematica 98 Bulletin de la Société Mathématique de France 97 International Journal of Number Theory 94 Bulletin of the American Mathematical Society. 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Series II 19 Proceedings of the Steklov Institute of Mathematics 18 Canadian Journal of Mathematics 18 Michigan Mathematical Journal 18 Monatshefte für Mathematik 18 Ergodic Theory and Dynamical Systems 18 Journal of the Ramanujan Mathematical Society ...and 369 more Serials all top 5 Cited in 60 Fields 3,946 Number theory (11-XX) 3,110 Algebraic geometry (14-XX) 1,949 Group theory and generalizations (20-XX) 651 Manifolds and cell complexes (57-XX) 624 Topological groups, Lie groups (22-XX) 611 Algebraic topology (55-XX) 580 Commutative algebra (13-XX) 538 Field theory and polynomials (12-XX) 504 Several complex variables and analytic spaces (32-XX) 502 Associative rings and algebras (16-XX) 444 Nonassociative rings and algebras (17-XX) 359 Category theory; homological algebra (18-XX) 303 \(K\)-theory (19-XX) 298 Combinatorics (05-XX) 290 Differential geometry (53-XX) 226 Global analysis, analysis on manifolds (58-XX) 189 Dynamical systems and ergodic theory (37-XX) 178 Quantum theory (81-XX) 135 Functional analysis (46-XX) 103 Computer science (68-XX) 103 Information and communication theory, circuits (94-XX) 92 Geometry (51-XX) 91 Linear and multilinear algebra; matrix theory (15-XX) 89 Mathematical logic and foundations (03-XX) 85 Abstract harmonic analysis (43-XX) 77 Functions of a complex variable (30-XX) 56 Partial differential equations (35-XX) 55 Probability theory and stochastic processes (60-XX) 48 Special functions (33-XX) 48 Convex and discrete geometry (52-XX) 47 History and biography (01-XX) 44 Operator theory (47-XX) 44 General topology (54-XX) 41 Relativity and gravitational theory (83-XX) 37 Ordinary differential equations (34-XX) 34 Order, lattices, ordered algebraic structures (06-XX) 29 Measure and integration (28-XX) 28 Numerical analysis (65-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 20 Statistics (62-XX) 20 Mechanics of particles and systems (70-XX) 18 General and overarching topics; collections (00-XX) 18 Statistical mechanics, structure of matter (82-XX) 14 Difference and functional equations (39-XX) 13 Real functions (26-XX) 11 Systems theory; control (93-XX) 10 General algebraic systems (08-XX) 8 Operations research, mathematical programming (90-XX) 7 Potential theory (31-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Biology and other natural sciences (92-XX) 5 Approximations and expansions (41-XX) 5 Mechanics of deformable solids (74-XX) 3 Integral transforms, operational calculus (44-XX) 3 Optics, electromagnetic theory (78-XX) 2 Fluid mechanics (76-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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