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 External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef Videos: carmin.tv Awards: Fields Medal (1954) · Wolf Prize (2000) · Abel Prize (2003) Member of Collective: Bourbaki, Nicolas Documents Indexed: 284 Publications since 1949, including 62 Books and 7 Additional arXiv Preprints 21 Contributions as Editor · 35 Further Contributions Biographic References: 15 Publications Co-Authors: 53 Co-Authors with 95 Joint Publications 1,427 Co-Co-Authors all top 5 Co-Authors 219 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 4 Frobenius, Georg 3 Atiyah, Michael Francis 3 Bayer-Fluckiger, Eva 3 Colmez, Pierre 3 Deligne, Pierre 3 Godement, Roger 3 Hirzebruch, Friedrich 3 Lauter, Kristin Estella 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 Nicolas, Jean-Louis 2 Tits, Jacques 2 Zagier, Don 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 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 42 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 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 114 Algebraic geometry (14-XX) 112 Number theory (11-XX) 69 Group theory and generalizations (20-XX) 40 History and biography (01-XX) 30 General and overarching topics; collections (00-XX) 25 Field theory and polynomials (12-XX) 23 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) 3 Differential geometry (53-XX) 2 Combinatorics (05-XX) 2 Functions of a complex variable (30-XX) 2 Geometry (51-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 272 Publications have been cited 16,068 times in 13,011 Documents Cited by ▼ Year ▼ Linear representations of finite groups. Translated from the French by Leonard L. Scott. Zbl 0355.20006 Serre, Jean-Pierre 855 1977 Local fields. Translated from the French by Marvin Jay Greenberg. Zbl 0423.12016 Serre, Jean-Pierre 839 1979 Trees. Transl. from the French by John Stillwell. Zbl 0548.20018 Serre, Jean-Pierre 645 1980 A course in arithmetic. Zbl 0256.12001 Serre, Jean-Pierre 628 1973 Galois properties of points of finite order of elliptic curves. (Propriétés galoisiennes des points d’ordre fini des courbes elliptiques.) Zbl 0235.14012 Serre, Jean-Pierre 603 1972 Good reduction of abelian varieties. Zbl 0172.46101 Serre, Jean-Pierre; Tate, J. 409 1968 Algebraic number theory. Zbl 0153.07403 405 1967 Faisceaux algébriques cohérents. Zbl 0067.16201 Serre, Jean-Pierre 399 1955 Local fields. (Corps locaux.) Zbl 0137.02601 Serre, Jean-Pierre 349 1962 Groupes algébriques et corps de classes. Zbl 0097.35604 Serre, Jean-Pierre 305 1959 Galois Cohomology. 5ème éd., rév. et complété. (Cohomologie Galoisienne.) Zbl 0812.12002 Serre, Jean-Pierre 296 1994 Homologie singulière des espaces fibrés. Applications. Zbl 0045.26003 Serre, Jean-Pierre 285 1951 Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault). Zbl 0274.22011 Borel, Armand; Serre, Jean-Pierre 266 1973 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 0641.10026 Serre, Jean-Pierre 258 1987 Lie algebras and Lie groups. 1964 lectures given at Harvard University. Zbl 0132.27803 Serre, Jean-Pierre 246 1965 Galois cohomology. Transl. from the French by Patrick Ion. Zbl 0902.12004 Serre, Jean-Pierre 241 1997 Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\). Zbl 0174.05203 Bass, H.; Milnor, John W.; Serre, Jean-Pierre 237 1967 Algebraic geometry and analytic geometry. (Géométrie algébrique et géométrie analytique.) Zbl 0075.30401 Serre, Jean-Pierre 230 1956 Théoremes de finitude en cohomologie galoisienne. Zbl 0143.05901 Borel, Armand; Serre, Jean-Pierre 225 1964 Quelques applications du théorème de densité de Chebotarev. Zbl 0496.12011 Serre, Jean-Pierre 221 1981 Formes modulaires de poids 1. Zbl 0321.10026 Deligne, Pierre; Serre, Jean-Pierre 221 1974 Arbres, amalgames, \(\mathrm{SL}_2\). Rédigé avec la collaboration de Hyman Bass. Zbl 0369.20013 Serre, Jean-Pierre 209 1977 Cohomology of Lie algebras. Zbl 0053.01402 Hochschild, G.; Serre, Jean-Pierre 199 1953 Topics in Galois theory. Notes written by Henri Darmon. Zbl 0746.12001 Serre, Jean-Pierre 198 1992 Cohomological invariants in Galois cohomology. Zbl 1159.12311 Garibaldi, Skip; Merkurjev, Alexander; Serre, Jean-Pierre 189 2003 Abelian \(\ell\)-adic representations and elliptic curves. Written with the collaboration of Willem Kuyk and John Labute. Zbl 0186.25701 Serre, Jean-Pierre 182 1968 Galois cohomology. Transl. from the French by Patrick Ion. 2nd printing. Zbl 1004.12003 Serre, Jean-Pierre 180 2002 Cohomology of group extensions. Zbl 0050.02104 Hochschild, G.; Serre, Jean-Pierre 179 1953 Groupes d’homotopie et classes de groupes abéliens. Zbl 0052.19303 Serre, Jean-Pierre 175 1953 Lie algebras and Lie groups. 1964 lectures, given at Harvard University. 2nd ed. Zbl 0742.17008 Serre, Jean-Pierre 167 1992 Le problème des groupes de congruence pour \(SL_2\). Zbl 0239.20063 Serre, Jean-Pierre 163 1970 A course in arithmetic. (Cours d’arithmétique.) Zbl 0225.12002 Serre, Jean-Pierre 162 1970 Trees. Transl. from the French by John Stillwell. Corrected 2nd printing of the 1980 original. Zbl 1013.20001 Serre, Jean-Pierre 159 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 152 1970 Algebraic groups and class fields. Transl. of the French edition. Zbl 0703.14001 Serre, Jean-Pierre 149 1988 Completely continuous endomorphisms of \(p\)-adic Banach spaces. (Endomorphismes complètement continus des espaces de Banach \(p\)-adiques.) Zbl 0104.33601 Serre, Jean-Pierre 137 1962 \(p\)-adic modular forms and \(p\)-adic zeta functions. (Formes modulaires et fonctions zêta \(p\)-adiques.) Zbl 0277.12014 Serre, Jean-Pierre 133 1973 Un théorème de dualité. Zbl 0067.16101 Serre, Jean-Pierre 127 1955 Algèbres de Lie semi-simples complexes. Zbl 0144.02105 Serre, Jean-Pierre 127 1966 Algèbre locale, multiplicités. Zbl 0091.03701 Serre, Jean-Pierre 123 1960 Sur la dimension cohomologique des groupes profinis. Zbl 0136.27402 Serre, Jean-Pierre 123 1965 Le théorème de Riemann-Roch. Zbl 0091.33004 Borel, Armand; Serre, Jean-Pierre 119 1958 Asymptotic distribution of eigenvalues of the Hecke operators \(T_ p\). (Répartition asymptotique des valeurs propres de l’opérateur de Hecke \(T_ p\).) Zbl 0871.11032 Serre, Jean-Pierre 114 1997 Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. 3rd ed. Zbl 0863.14013 Serre, Jean-Pierre 113 1997 Algèbre locale. Multiplicités. Cours au Collège de France, 1957-1958, rédigé par Pierre Gabriel. 2e ed. Zbl 0142.28603 Serre, Jean-Pierre 110 1965 Abelian \(\ell\)-adic representations and elliptic curves. Zbl 0902.14016 Serre, Jean-Pierre 107 1998 Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. Zbl 0676.14005 Serre, Jean-Pierre 105 1989 Cohomologie des groupes discrets. Zbl 0229.57016 Serre, Jean-Pierre 93 1971 Local fields. 4th corrected ed. (Corps locaux.) Zbl 1095.11504 Serre, Jean-Pierre 93 2004 Cohomologie modulo 2 des complexes d’Eilenberg-MacLane. Zbl 0052.19501 Serre, Jean-Pierre 93 1953 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 92 1970 Local algebra. Transl. from the French by CheeWhye Chin. Zbl 0959.13010 Serre, Jean-Pierre 89 2000 The Witt invariant of the form \(\text{Tr}(x^ 2)\). (L’invariant de Witt de la forme \(\text{Tr}(x^ 2)\).) Zbl 0565.12014 Serre, Jean-Pierre 89 1984 Divisibilite de certaines fonctions arithmétiques. Zbl 0355.10021 Serre, Jean-Pierre 86 1976 Sur la topologie des variétés algébriques en caractéristique \(p\). Zbl 0098.13103 Serre, Jean-Pierre 84 1958 Cohomologie galoisienne. Cours au Collège de France, 1962–1963. 3ième éd. Zbl 0136.02801 Serre, Jean-Pierre 83 1965 Sur le nombre des points rationnels d’une courbe algébrique sur un corps fini. Zbl 0538.14015 Serre, Jean-Pierre 82 1983 Anneaux de Chow et applications. Séminaire Claude Chevalley (2e année) Tome 3. Zbl 0098.13101 78 1958 Modular forms of weight one and Galois representations. (Prepared in collaboration with C. J. Bushnell.). Zbl 0366.10022 Serre, Jean-Pierre 77 1977 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 74 1970 Modules projectifs et espaces fibrés à fibre vectorielle. Zbl 0132.41202 Serre, Jean-Pierre 74 1958 Sur la lacunarité des puissances de \(\eta\) . (Lacunarity of powers of \(\eta\) ). Zbl 0583.10015 Serre, Jean-Pierre 73 1985 Représentations linéaires des groupes finis. 2e éd., refondue. (Linear representations of finite groups. 2nd ed., revised). Zbl 0223.20003 Serre, Jean-Pierre 72 1971 Groupes de Lie et puissances réduites de Steenrood. Zbl 0050.39603 Borel, Armand; Serre, Jean-Pierre 71 1953 Lectures on \(N_X(p)\). Zbl 1238.11001 Serre, Jean-Pierre 70 2012 Abelian \(\ell\)-adic representations and elliptic curves. Reprint. Zbl 0709.14002 Serre, Jean-Pierre 69 1989 Cohomologie d’immeubles et de groupes S-arithmétiques. Zbl 0338.20055 Borel, Armand; Serre, Jean-Pierre 67 1976 Arbres, amalgames et \(SL_2\). Zbl 0302.20039 Serre, Jean-Pierre 66 1974 Cohomologie galoisienne. Cours au Collège de France, 1962–1963. Seconde édition. Zbl 0128.26303 Serre, Jean-Pierre 65 1964 Corps locaux et isogénies. Zbl 0137.02501 Serre, Jean-Pierre 65 1959 Conjectural properties of motivic Galois groups and \(\ell\)-adic representations. (Propriétés conjecturales des groupes de Galois motiviques et des représentations \(\ell\)-adiques.) Zbl 0812.14002 Serre, Jean-Pierre 64 1994 Représentations linéaires des groupes finis. I: Représentations et caractères. II: Complements. III: Introduction à la théorie de Brauer. Zbl 0189.02603 Serre, Jean-Pierre 64 1967 Représentations linéaires des groupes finis. 3e ed. corr. Zbl 0407.20003 Serre, Jean-Pierre 63 1978 Subgroups of finite index in \(\mathrm{SL}(n,\mathbb Z)\). (Sous-groupes d’indice fini dans \(\mathrm{SL}(n,\mathbb Z)\).) Zbl 0232.20086 Bass, H.; Lazard, M.; Serre, Jean-Pierre 63 1964 On a theorem of Jordan. Zbl 1047.11045 Serre, Jean-Pierre 63 2003 On the index of a fibered manifold. Zbl 0083.17801 Chern, Shiing-Shen; Hirzebruch, Friedrich; Serre, Jean-Pierre 57 1957 Cours d’arithmétique. 2me ed. Zbl 0376.12001 Serre, Jean-Pierre 56 1977 Groupes de Grothendieck des schemas en groupes reductifs deployes. Zbl 0195.50802 Serre, Jean-Pierre 51 1968 Complete reducibility. (Complète réductibilité.) Zbl 1156.20313 Serre, Jean-Pierre 51 2005 Groupes finis d’automorphismes d’anneaux locaux réguliers. Zbl 0200.00002 Serre, Jean-Pierre 50 1968 Sur l’algébricité des représentations l-adiques. Zbl 0457.14020 Bogomolov, Fedor Alekseivich 49 1980 Cohomologie Galoisienne. Cours au College de France, 1962-1963. 4e ed. Zbl 0259.12011 Serre, Jean-Pierre 48 1973 Schémas en groupes. Fasc. I. Exposés I à IV. Séminaire de Géométrie Algébrique de l’Institut des Hautes Études Scientifiques, 1963, dirigé par Michel Demazure et Alexander Grothendieck. 2ème éd. Zbl 0212.52801 48 1963 The Cremona group and its finite subgroups. (Le groupe de Cremona et ses sous-groupes finis.) Zbl 1257.14012 Serre, Jean-Pierre 47 2010 Nombres transcendants et groupes algébriques. Complete par deux appendices de Daniel Bertrand et Jean-Pierre Serre. Zbl 0428.10017 Waldschmidt, Michel 47 1979 Prolongement de faisceaux analytiques cohérents. Zbl 0144.08003 Serre, Jean-Pierre 46 1966 Cohomologie des groupes discrets. (Cohomology of discrete groups). Zbl 0235.22020 Serre, Jean-Pierre 44 1971 Modular forms of weight 1/2. Appendix: Letter from P. Deligne. Zbl 0371.10019 Serre, Jean-Pierre; Stark, H. M. 43 1977 Facteurs locaux des fonctions zêta des variétés algébriques (Définitions et conjectures). Zbl 0214.48403 Serre, Jean-Pierre 43 1970 Galois cohomology: progress and problems. (Cohomologie galoisienne: Progrès et problèmes.) Zbl 0837.12003 Serre, Jean-Pierre 42 1995 Local class field theory. Zbl 1492.11158 Serre, J.-P. 42 1967 Sur la dimension homologique des anneaux et des modules noethériens. Zbl 0073.26004 Serre, Jean-Pierre 41 1956 Cohomology of discrete groups. (Cohomologie des groupes discrets.) Zbl 0273.57022 Serre, Jean-Pierre 40 1971 Quelques problèmes globaux rélatifs aux variétés de Stein. Zbl 0053.05302 Serre, Jean-Pierre 40 1953 Sur les modules projectifs. Zbl 0132.41301 Serre, Jean-Pierre 39 1963 On the fundamental group of a unirational variety. Zbl 0097.36301 Serre, Jean-Pierre 38 1959 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 37 2011 Sur certaines sous-groupes des groupes de Lie compacts. Zbl 0051.01902 Borel, Armand; Serre, Jean-Pierre 37 1953 Local fields. 3rd corr. ed. (Corps locaux. \(3^e\) éd., corr.) Zbl 0423.12017 Serre, Jean-Pierre 36 1980 Zeta and \(L\) functions. Zbl 0171.19602 Serre, Jean-Pierre 36 1965 Groupes de Coxeter finis: involutions et cubes. Zbl 07556767 Serre, Jean-Pierre 1 2022 Lines on cubic surfaces, Witt invariants and Stiefel-Whitney classes. Zbl 1471.12005 Bayer-Fluckiger, Eva; Serre, Jean-Pierre 2 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 12 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 1492.30020 Serre, Jean-Pierre 3 2019 On the mod \(p\) reduction of orthogonal representations. Zbl 1455.20009 Serre, Jean-Pierre 5 2018 Finite groups. An introduction. Zbl 1347.20014 Serre, Jean-Pierre 20 2016 Correspondence Serre – Tate. Volume II. (Correspondance Serre – Tate. Volume II.) Zbl 1326.11002 5 2015 Correspondence Serre – Tate. Volume I. (Correspondance Serre – Tate. Volume I.) Zbl 1326.11001 4 2015 Autodual normal bases and unitary groups of characteristic 2. (Bases normales autoduales et groupes unitaires en caractéristique 2.) Zbl 1321.11044 Serre, Jean-Pierre 12 2014 Obituary: Henri Cartan (1904–2008). Zbl 1283.01025 Serre, Jean-Pierre 1 2014 A criterion for independence of a family of \(\ell\)-adic representations. (Un critère d’indépendance pour une famille de représentations \(\ell\)-adiques.) Zbl 1317.14040 Serre, Jean-Pierre 16 2013 Hasse principle for \(G\)-trace forms. Zbl 1368.11030 Bayer-Fluckiger, E.; Parimala, R.; Serre, J.-P. 6 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 1278.01034 Serre, Jean-Pierre 3 2013 Lectures on \(N_X(p)\). Zbl 1238.11001 Serre, Jean-Pierre 70 2012 The nilpotence order of the mod 2 Hecke operators. (Formes modulaires modulo 2 : l’ordre de nilpotence des opérateurs de Hecke.) Zbl 1275.11073 Nicolas, Jean-Louis; Serre, Jean-Pierre 23 2012 Modular forms mod 2: structure of the Hecke ring. (Formes modulaires modulo 2 : structure de l’algèbre de Hecke.) Zbl 1275.11074 Nicolas, Jean-Louis; Serre, Jean-Pierre 12 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 37 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 17 2011 The Cremona group and its finite subgroups. (Le groupe de Cremona et ses sous-groupes finis.) Zbl 1257.14012 Serre, Jean-Pierre 47 2010 A Minkowski-style bound for the orders of the finite subgroups of the Cremona group of rank 2 over an arbitrary field. Zbl 1203.14017 Serre, Jean-Pierre 25 2009 How to use finite fields for problems concerning infinite fields. Zbl 1199.14007 Serre, Jean-Pierre 14 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 1167.11041 Serre, Jean-Pierre 3 2009 The trace problem for totally positive algebraic integers. With an appendix by Jean-Pierre Serre. Zbl 1266.11113 Aguirre, Julián; Peral, Juan Carlos 26 2008 Three letters to Walter Feit on group representations and quaternions. Zbl 1140.20006 Serre, Jean-Pierre 10 2008 Two letters to Jaap Top. Zbl 1151.14322 Serre, Jean-Pierre 1 2008 Topics in Galois theory. Notes written by Henri Darmon. 2nd ed. Zbl 1128.12001 Serre, Jean-Pierre 29 2007 Bounds for the orders of the finite subgroups of \(G(k)\). Zbl 1160.20043 Serre, Jean-Pierre 28 2007 The trace form of a central simple algebra of degree 4. (La forme trace d’une algèbre simple centrale de degré 4.) Zbl 1110.16014 Rost, Markus; Serre, Jean-Pierre; Tignol, Jean-Pierre 15 2006 Lower bounds for essential dimensions via orthogonal representations. Zbl 1181.20042 Chernousov, Vladimir; Serre, Jean-Pierre 14 2006 Complete reducibility. (Complète réductibilité.) Zbl 1156.20313 Serre, Jean-Pierre 51 2005 Optimal \(\text{SL}(2)\)-homomorphisms. Zbl 1097.20040 McNinch, George J. 33 2005 Local fields. 4th corrected ed. (Corps locaux.) Zbl 1095.11504 Serre, Jean-Pierre 93 2004 Cohomological invariants in Galois cohomology. Zbl 1159.12311 Garibaldi, Skip; Merkurjev, Alexander; Serre, Jean-Pierre 189 2003 Trees. Transl. from the French by John Stillwell. Corrected 2nd printing of the 1980 original. Zbl 1013.20001 Serre, Jean-Pierre 159 2003 On a theorem of Jordan. Zbl 1047.11045 Serre, Jean-Pierre 63 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 1110.01012 Serre, Jean-Pierre 1 2003 Galois cohomology. Transl. from the French by Patrick Ion. 2nd printing. Zbl 1004.12003 Serre, Jean-Pierre 180 2002 The maximum or minimum number of rational points on genus three curves over finite fields. Zbl 1031.11038 Lauter, Kristin; Serre, Jean-Pierre 19 2002 History of the ‘modularity conjecture’. (L’histoire de la ‘modularity conjecture’.) Zbl 1051.11501 Serre, J.-P. 2 2002 Correspondence Grothendieck-Serre. (Correspondance Grothendieck-Serre.) Zbl 0986.01019 26 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 0982.14015 Lauter, Kristin 25 2001 Complex semisimple Lie algebras. Translated from the French by G. A. Jones. Reprint of the 1987 ed. Zbl 1058.17005 Serre, Jean-Pierre 25 2001 Exposés de séminaires. 1950–1999. (Exposes of seminars. 1950–1999). Reprints. (Exposés de séminaires. 1950–1999.) Zbl 1005.01012 Serre, Jean Pierre 5 2001 Local algebra. Transl. from the French by CheeWhye Chin. Zbl 0959.13010 Serre, Jean-Pierre 89 2000 Œuvres. Collected papers. Vol. IV: 1985–1998. Zbl 0933.01034 Serre, Jean-Pierre 17 2000 Finite subgroups of Lie groups. (Sous-groupes finis des groupes de Lie.) Zbl 0968.20025 Serre, Jean-Pierre 8 2000 Abelian \(\ell\)-adic representations and elliptic curves. Zbl 0902.14016 Serre, Jean-Pierre 107 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 0926.20003 Serre, Jean-Pierre 18 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 0980.20035 Griess, Robert L. jun.; Ryba, A. J. E. 6 1998 The Euler-Poincaré distribution of a profinite group. (La distribution d’Euler-Poincaré d’un groupe profini.) Zbl 0943.20024 Serre, Jean-Pierre 3 1998 Galois cohomology. Transl. from the French by Patrick Ion. Zbl 0902.12004 Serre, Jean-Pierre 241 1997 Asymptotic distribution of eigenvalues of the Hecke operators \(T_ p\). (Répartition asymptotique des valeurs propres de l’opérateur de Hecke \(T_ p\).) Zbl 0871.11032 Serre, Jean-Pierre 114 1997 Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. 3rd ed. Zbl 0863.14013 Serre, Jean-Pierre 113 1997 Semisimplicity and tensor products of group representations: Converse theorems. (With an appendix by Walter Feit). Zbl 0896.20004 Serre, Jean-Pierre 12 1997 Two letters on the non-Abelian cohomology. (Deux lettres sur la cohomologie non abélienne.) Zbl 0886.20035 Serre, 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 0877.20033 Serre, Jean-Pierre 34 1996 Two letters on quaternions and modular forms \(\pmod p\) (with an introduction, appendix and references by R. Livné). Zbl 0870.11030 Serre, Jean-Pierre 32 1996 The works of Wiles (and Taylor,\(\dots\)). I. (Travaux de Wiles (et Taylor,\(\dots\)). I.) Zbl 0957.11027 Serre, Jean-Pierre 4 1996 Galois cohomology: progress and problems. (Cohomologie galoisienne: Progrès et problèmes.) Zbl 0837.12003 Serre, Jean-Pierre 42 1995 Galois Cohomology. 5ème éd., rév. et complété. (Cohomologie Galoisienne.) Zbl 0812.12002 Serre, Jean-Pierre 296 1994 Conjectural properties of motivic Galois groups and \(\ell\)-adic representations. (Propriétés conjecturales des groupes de Galois motiviques et des représentations \(\ell\)-adiques.) Zbl 0812.14002 Serre, Jean-Pierre 64 1994 On the semisimplicity of tensor products of representations of groups. (Sur la semi-simplicité des produits tensoriels de représentations de groupes.) Zbl 0816.20014 Serre, Jean-Pierre 35 1994 Symmetric power \(L\)-functions for \(GL(2)\). Zbl 0833.11016 Shahidi, Freydoon 25 1994 Quadratic torsions and selfdual normal bases. (Torsions quadratiques et bases normales autoduales.) Zbl 0804.12004 Bayer-Fluckiger, Eva; Serre, Jean-Pierre 15 1994 Square-root parametrization of plane curves. Appendix by J.-P. Serre. Zbl 0830.12002 Abhyankar, 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 0788.00053 1 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 0789.14026 Ekedahl, Torsten; Serre, Jean-Pierre 22 1993 Gebras. (Gèbres.) Zbl 0810.16039 Serre, Jean-Pierre 7 1993 Smith, Minkowski and the Academy of Sciences. (Smith, Minkowski et l’Académie des Sciences.) Zbl 0785.01009 Serre, Jean-Pierre 2 1993 Topics in Galois theory. Notes written by Henri Darmon. Zbl 0746.12001 Serre, Jean-Pierre 198 1992 Lie algebras and Lie groups. 1964 lectures, given at Harvard University. 2nd ed. Zbl 0742.17008 Serre, Jean-Pierre 167 1992 Coverings of algebraic curves. (Revêtements de courbes algébriques.) Zbl 0798.14014 Serre, Jean-Pierre 5 1992 Letter to M. Tsfasman. (Lettre à M. Tsfasman.) Zbl 0758.14008 Serre, Jean-Pierre 28 1991 Motives. - Appendix: Some texts by Grothendieck on motives. (Motifs. - Annexe: Quelques textes de Grothendieck sur les motifs.) Zbl 0759.14002 Serre, Jean-Pierre 2 1991 Construction de revêtements étales de la droite affine en caractéristique p. (Construction of étale coverings of the affine line in characteristic p). Zbl 0726.14021 Serre, Jean-Pierre 28 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 0711.13002 Serre, Jean-Pierre 22 1990 Coverings with odd ramification and theta-characteristics. (Revêtements à ramification impaire et thêta-caractéristiques.) Zbl 0742.14030 Serre, Jean-Pierre 13 1990 Relèvements dans \({\mathfrak A}\tilde {\;}\). (\({\mathfrak A}\tilde {\;}\)- liftings). Zbl 0714.20003 Serre, Jean-Pierre 8 1990 Lectures on the Mordell-Weil theorem. Transl. and ed. by Martin Brown from notes by Michel Waldschmidt. Zbl 0676.14005 Serre, Jean-Pierre 105 1989 Abelian \(\ell\)-adic representations and elliptic curves. Reprint. Zbl 0709.14002 Serre, Jean-Pierre 69 1989 Algèbre locale. Multiplicités. (Local algebra. Multiplicities). Cours au Collège de France, 1957-1958. Rédigé par Pierre Gabriel. Troisième éd., 2nd corrected printing. Zbl 0661.13008 Serre, Jean-Pierre 6 1989 Lectures on the icosahedron and the solution of equations of order 5. 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. (Лекции об икосаэдре и решении уравнений пятой степени.) Zbl 0691.51001 Klein, Felix 3 1989 Rapport au comité Fields sur les travaux de A. Grothendieck. (Report to the Fields Committee concerning the work of A. Grothendieck). Zbl 0683.01014 Serre, Jean-Pierre 1 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 Algebraic groups and class fields. Transl. of the French edition. Zbl 0703.14001 Serre, Jean-Pierre 149 1988 Groupes de Galois sur \({\mathbb{Q}}\). (Galois groups over \({\mathbb{Q}})\). Zbl 0684.12009 Serre, 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 0641.10026 Serre, Jean-Pierre 258 1987 Complex semisimple Lie algebras. Transl. from the French by G. A. Jones. Zbl 0628.17003 Serre, Jean-Pierre 35 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 0621.10022 Waldschmidt, Michel 8 1987 A relation in the cohomology of \(p\)-groups. (Une relation dans la cohomologie des \(p\)-groupes.) Zbl 0626.20041 Serre, Jean-Pierre 8 1987 Letter to J.-F. Mestre. (Lettre à J.-F. Mestre.) Zbl 0629.14016 Serre, Jean-Pierre 3 1987 Œuvres. Collected papers. Vol. I: 1949–1959, Vol. II: 1960–1971, Vol. III: 1972–1984. Zbl 0849.01049 Serre, Jean-Pierre 3 1986 Sur la lacunarité des puissances de \(\eta\) . (Lacunarity of powers of \(\eta\) ). Zbl 0583.10015 Serre, Jean-Pierre 73 1985 \(\Delta\) \(=b^ 2-4ac\). Zbl 0596.12004 Serre, 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 0565.12014 Serre, Jean-Pierre 89 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 0718.14001 Serre, Jean-Pierre 15 1984 Sur le nombre des points rationnels d’une courbe algébrique sur un corps fini. Zbl 0538.14015 Serre, Jean-Pierre 82 1983 Nombres de points des courbes algébriques sur \(F_ q\). Zbl 0538.14016 Serre, Jean-Pierre 23 1983 Quelques applications du théorème de densité de Chebotarev. Zbl 0496.12011 Serre, Jean-Pierre 221 1981 ...and 172 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 10,024 Authors 48 Zarkhin, Yuriĭ Gennad’evich 47 Zalesskii, Pavel 40 Ash, Avner 37 Lubotzky, Alexander 34 Sato, Iwao 30 Reichstein, Zinovy B. 29 Ono, Ken 29 Serre, Jean-Pierre 28 Mazur, Barry 27 Gross, Benedict Hyman 26 Dieulefait, Luis Victor 25 Colliot-Thélène, Jean-Louis 25 Guralnick, Robert Michael 25 Mason, Alexander W. 25 Rapinchuk, Andrei S. 24 Merkur’ev, Aleksandr Sergeevich 24 Zannier, Umberto M. 22 Chinburg, Ted 22 Gee, Toby 22 Larsen, Michael Jeffrey 21 Grunewald, Fritz J. 21 Harbater, David 20 Jarden, Moshe 20 Kahn, Bruno 20 Murty, Maruti Ram 20 Taylor, Martin J. 20 Vavilov, Nikolaĭ Aleksandrovich 19 Borovoi, Mikhail V. 19 Loughran, Daniel 19 Mináč, Ján 18 Borel, Armand 18 Clark, Peter Louis 18 Heim, Bernhard Ernst 18 Hida, Haruzo 18 Kang, Ming-Chang 18 Parimala, Raman 18 Rapinchuk, Igor A. 17 Biswas, Indranil 17 Gunnells, Paul E. 17 Kato, Kazuya 17 Sonn, Jack 16 Khare, Chandrashekhar 16 Kucharz, Wojciech 16 Schacher, Murray M. 16 Silverman, Joseph Hillel 16 Taylor, Richard 16 Virdol, Cristian 15 Aljadeff, Eli 15 Buium, Alexandru 15 Chen, Imin 15 Chernousov, Vladimir I. 15 Dèbes, Pierre 15 Efrat, Ido 15 Fité, Francesc 15 Freitas, Nuno 15 König, Joachim 15 Kono, Akira 15 Lozano-Robledo, Álvaro 15 Murty, Vijaya Kumar 15 Neuhauser, Markus 15 Nguyêñ Duy Tân 15 Nguyễn Quôc Thăng 15 Papikian, Mihran 15 Schwermer, Joachim 15 Sujatha, Ramdorai 15 Sutherland, Andrew V. 15 Tamagawa, Akio 14 Bass, Hyman 14 Bayer-Fluckiger, Eva 14 Brumer, Armand 14 Brussel, Eric S. 14 Calegari, Frank 14 Cassou-Noguès, Philippe 14 Cojocaru, Alina Carmen 14 Dokchitser, Vladimir 14 Gras, Georges 14 Harris, Michael Howard 14 Kraus, Alain 14 Popov, Vladimir Leonidovich 14 Ribet, Kenneth Alan 14 Rubin, Karl Cooper 14 Sarnak, Peter Clive 14 Siksek, Samir 14 Sperber, Steven I. 14 Steinberg, Benjamin 14 Swan, Richard Gordon 14 Vaserstein, Leonid N. 14 Wan, Daqing 14 Yu, Chia-Fu 13 Adolphson, Alan 13 Baek, Sanghoon 13 Bleher, Frauke M. 13 Böckle, Gebhard 13 Dokchitser, Tim 13 Katz, Nicholas Michael 13 Kontogeorgis, Aristides I. 13 Kowalski, Emmanuel 13 Kramer, Kenneth B. 13 Krashen, Daniel 13 Lombardo, Davide M. ...and 9,924 more Authors all top 5 Cited in 578 Serials 1,012 Journal of Algebra 690 Journal of Number Theory 526 Transactions of the American Mathematical Society 467 Journal of Pure and Applied Algebra 362 Inventiones Mathematicae 362 Proceedings of the American Mathematical Society 333 Mathematische Annalen 313 Advances in Mathematics 309 Compositio Mathematica 274 Mathematische Zeitschrift 268 Duke Mathematical Journal 249 Annales de l’Institut Fourier 217 Israel Journal of Mathematics 195 Journal de Théorie des Nombres de Bordeaux 178 Communications in Algebra 152 Manuscripta Mathematica 139 International Journal of Number Theory 134 Annales Scientifiques de l’École Normale Supérieure. 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