Edit Profile (opens in new tab) Szpiro, Lucien Compute Distance To: Compute Author ID: szpiro.lucien Published as: Szpiro, Lucien; Szpiro, L. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 43 Publications since 1966, including 2 Books 4 Contributions as Editor · 2 Further Contributions Biographic References: 2 Publications Co-Authors: 18 Co-Authors with 29 Joint Publications 213 Co-Co-Authors all top 5 Co-Authors 18 single-authored 9 Peskine, Christian 6 Tucker, Thomas John 3 Tepper, Michael 2 Flexor, Marguerite 2 Petsche, Clayton 2 Raynaud, Michel 2 Ullmo, Emmanuel 2 Williams, Phillip 1 Auslander, Maurice 1 Bhatnagar, Anupam 1 Bloch, Spencer J. 1 Deligne, Pierre René 1 Elkik, Renee 1 Goldfeld, Dorian Morris 1 Hutz, Benjamin 1 Illusie, Luc 1 Majidi-Zolbanin, Mahdi 1 Mangeney, Marguerite 1 Martin-Deschamps, Mireille 1 Miasnikov, Nikita 1 Mohan Kumar, Neithalath 1 Moret-Bailly, Laurent 1 Murthy, M. Pavaman 1 Pesenti, J. 1 Pineiro, Jorge 1 Samuel, Pierre 1 Zhang, Shou-Wu all top 5 Serials 5 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Journal of Algebra 3 Astérisque 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Publicacions Matemàtiques 1 Bulletin de la Société Mathématique de France 1 Duke Mathematical Journal 1 Publications Mathématiques 1 Journal of Number Theory 1 Transactions of the American Mathematical Society 1 Mémoires de la Société Mathématique de France. Nouvelle Série 1 Pure and Applied Mathematics Quarterly 1 Lectures on Mathematics and Physics. Mathematics. Tata Institute of Fundamental Research all top 5 Fields 39 Algebraic geometry (14-XX) 18 Number theory (11-XX) 10 Commutative algebra (13-XX) 9 Dynamical systems and ergodic theory (37-XX) 5 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 1 History and biography (01-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 832 times in 762 Documents Cited by ▼ Year ▼ Liaison des variétés algébriques. I. Zbl 0298.14022Peskine, C.; Szpiro, L. 282 1974 Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck. Zbl 0268.13008Peskine, C.; Szpiro, L. 199 1972 Equidistribution of small points. (Equirépartition des petits points.) Zbl 0991.11035Szpiro, L.; Ullmo, E.; Zhang, S. 49 1997 Syzygies et multiplicités. Zbl 0281.13004Peskine, Christian; Szpiro, Lucien 39 1974 Lectures on equations defining space curves. Notes by N. Mohan Kumar. Zbl 0442.14010Szpiro, L. 25 1979 Propriétés numériques du faisceau dualisant rélatif. Zbl 0517.14006Szpiro, Lucien 25 1981 Sur le théorème de rigidite de Parsin et Arakelov. Zbl 0425.14005Szpiro, L. 20 1979 Isotriviality is equivalent to potential good reduction for endomorphisms of over function fields. Zbl 1190.14013Petsche, Clayton; Szpiro, Lucien; Tepper, Michael 19 2009 Sur les propriétés numériques du dualisant relatif d’une surface arithmétique. (On the numerical properties of the relative dualizing sheaf of an arithmetic surface). Zbl 0759.14018Szpiro, L. 16 1990 Discriminant et conducteur des courbes elliptiques. (Discriminant and conductor of elliptic curves). Zbl 0742.14026Szpiro, L. 14 1990 Degrees, intersections, heights. (Degrés, intersections, hauteurs.) Zbl 1182.11029Szpiro, Lucien 14 1985 Séminaire sur les pinceaux de courbes de genre au moins deux. Avec la participation de A. Beauville, M. Deschamps, M. Flexor, R. Fossum, L. Moret-Bailly, R. Menegaux, L. Szpiro. Zbl 0463.00009 12 1981 Bounds for the order of the Tate-Shafarevich group. Zbl 0860.11032Goldfeld, Dorian; Szpiro, Lucien 10 1995 Seminar on arithmetic bundles: the Mordell conjecture (held at the École Normale Supérieure, Paris 1983–1984). (Séminaire sur les pinceaux arithmétiques: La conjecture de Mordell.) Zbl 0588.14028 10 1985 Mahler measure for dynamical systems on \(\mathbb P^1\) and intersection theory on a singular arithmetic surface. Zbl 1101.11020Pineiro, Jorge; Szpiro, Lucien; Tucker, Thomas J. 9 2005 Equidistribution and generalized Mahler measures. Zbl 1283.37075Szpiro, L.; Tucker, T. J. 9 2012 A Shafarevich-Faltings theorem for rational functions. Zbl 1168.14020Szpiro, Lucien; Tucker, Thomas J. 8 2008 A dynamical pairing between two rational maps. Zbl 1300.37052Petsche, Clayton; Szpiro, Lucien; Tucker, Thomas J. 8 2012 Inequality for the discriminant of elliptic pencils with arbitrary reductions. (Inégalité du discriminant pour les pinceaux elliptiques à réductions quelconques.) Zbl 1021.11021Pesenti, J.; Szpiro, L. 7 2000 Sur la théorie des complexes parfaits. Zbl 0554.13005Szpiro, L. 6 1982 Entropy and flatness in local algebraic dynamics. Zbl 1302.37059Majidi-Zolbanin, Mahdi; Miasnikov, Nikita; Szpiro, Lucien 6 2013 Variation of the Faltings height in a \(\overline{\mathbb{Q}}\)-isogeny class of elliptic curves. (Variation de la hauteur de Faltings dans une classe de \(\overline{\mathbb{Q}}\)-isogénie de courbe elliptique.) Zbl 0952.11018Szpiro, Lucien; Ullmo, Emmanuel 5 1999 Fonctions d’ordre et valuations. Zbl 0158.29303Szpiro, L. 5 1966 Zero cycles and the number of generators of an ideal. Zbl 0733.14003Bloch, Spencer; Murthy, M. Pavaman; Szpiro, Lucien 5 1989 Semi-stable reduction implies minimality of the resultant. Zbl 1306.14022Szpiro, Lucien; Tepper, Michael; Williams, Phillip 5 2014 Travaux de Kempf, Kleiman, Laksov sur les diviseurs exceptionnels. Zbl 0264.14005Szpiro, Lucien 4 1973 Variétés de codimension 2 dans P\(^n\). Zbl 0254.14020Szpiro, L. 3 1972 Séminaire d’algèbre commutative dirigé par P. Samuel 1966/67. Anneaux de Gorenstein, et torsion en algèbre commutative. Texte rédigé, d’après des exposés de Maurice Auslander à l’Ecole Normale Supérieure de Jeunes Filles, par Marguerite Mangeney, Christian Peskine et Lucie Szpiro. Zbl 0157.08301 3 1967 A little bit of effectiveness. (Un peu d’effectivité.) Zbl 1182.11016Szpiro, Lucien 3 1985 Sur la topologie des sous-schémas fermés d’un schéma localement noetherien, définis comme support d’un faisceau cohérent localement de dimension projective finie. Zbl 0184.29001Peskine, C.; Szpiro, L. 3 1969 Very ample polarized self maps extend to projective space. Zbl 1254.37066Bhatnagar, Anupam; Szpiro, Lucien 2 2012 La conjecture de Mordell. [D’après G. Faltings]. Zbl 0591.14027Szpiro, Lucien 2 1985 Séminaire sur les pinceaux de courbes elliptiques (à la recherche de “Mordell effectif”), tenu en 1988 à l’Institut Henri Poincaré á Paris, France. Zbl 0702.00011 1 1990 On the solutions of a system of polynomial equations on an abelian variety [after G. Faltings and P. Vojta]. (Sur les solutions d’un système d’équations polynomiales sur une variété abélienne [d’après G.Faltings et P.Vojta].) Zbl 0746.14010Szpiro, Lucien 1 1990 Théorèmes de finitude et de nullité en cohomologie des schémas. Zbl 0212.53601Peskine, C.; Szpiro, L. 1 1970 Dimension projective finie et cohomologie locale. Article principal: Dimension projective finie et cohomologie locale. Applications à la démonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck. Thèse doct. sci. math. (Finite projective dimension and local cohomology. Fundamental article: (Finite projective dimension and local cohomology. Application to the proof of the conjectures of M.Auslander, H. Bass and A. Grothendieck.)). Zbl 0227.13003Peskine, C.; Szpiro, L. 1 1971 Almost Newton, sometimes Lattès. Zbl 1347.37142Hutz, Benjamin; Szpiro, Lucien 1 2014 Resultant and conductor of geometrically semi-stable self maps of the projective line over a number field or function field. Zbl 1392.37108Szpiro, Lucien; Tepper, Michael; Williams, Phillip 1 2014 Modules de type fini et de dimension injective finie sur un anneau local noetherien. Zbl 0162.34001Peskine, Christian; Szpiro, Lucien 1 1968 One half log discriminant. Zbl 1137.14015Szpiro, Lucien; Tucker, Thomas J. 1 2007 Semi-stable reduction implies minimality of the resultant. Zbl 1306.14022Szpiro, Lucien; Tepper, Michael; Williams, Phillip 5 2014 Almost Newton, sometimes Lattès. Zbl 1347.37142Hutz, Benjamin; Szpiro, Lucien 1 2014 Resultant and conductor of geometrically semi-stable self maps of the projective line over a number field or function field. Zbl 1392.37108Szpiro, Lucien; Tepper, Michael; Williams, Phillip 1 2014 Entropy and flatness in local algebraic dynamics. Zbl 1302.37059Majidi-Zolbanin, Mahdi; Miasnikov, Nikita; Szpiro, Lucien 6 2013 Equidistribution and generalized Mahler measures. Zbl 1283.37075Szpiro, L.; Tucker, T. J. 9 2012 A dynamical pairing between two rational maps. Zbl 1300.37052Petsche, Clayton; Szpiro, Lucien; Tucker, Thomas J. 8 2012 Very ample polarized self maps extend to projective space. Zbl 1254.37066Bhatnagar, Anupam; Szpiro, Lucien 2 2012 Isotriviality is equivalent to potential good reduction for endomorphisms of over function fields. Zbl 1190.14013Petsche, Clayton; Szpiro, Lucien; Tepper, Michael 19 2009 A Shafarevich-Faltings theorem for rational functions. Zbl 1168.14020Szpiro, Lucien; Tucker, Thomas J. 8 2008 One half log discriminant. Zbl 1137.14015Szpiro, Lucien; Tucker, Thomas J. 1 2007 Mahler measure for dynamical systems on \(\mathbb P^1\) and intersection theory on a singular arithmetic surface. Zbl 1101.11020Pineiro, Jorge; Szpiro, Lucien; Tucker, Thomas J. 9 2005 Inequality for the discriminant of elliptic pencils with arbitrary reductions. (Inégalité du discriminant pour les pinceaux elliptiques à réductions quelconques.) Zbl 1021.11021Pesenti, J.; Szpiro, L. 7 2000 Variation of the Faltings height in a \(\overline{\mathbb{Q}}\)-isogeny class of elliptic curves. (Variation de la hauteur de Faltings dans une classe de \(\overline{\mathbb{Q}}\)-isogénie de courbe elliptique.) Zbl 0952.11018Szpiro, Lucien; Ullmo, Emmanuel 5 1999 Equidistribution of small points. (Equirépartition des petits points.) Zbl 0991.11035Szpiro, L.; Ullmo, E.; Zhang, S. 49 1997 Bounds for the order of the Tate-Shafarevich group. Zbl 0860.11032Goldfeld, Dorian; Szpiro, Lucien 10 1995 Sur les propriétés numériques du dualisant relatif d’une surface arithmétique. (On the numerical properties of the relative dualizing sheaf of an arithmetic surface). Zbl 0759.14018Szpiro, L. 16 1990 Discriminant et conducteur des courbes elliptiques. (Discriminant and conductor of elliptic curves). Zbl 0742.14026Szpiro, L. 14 1990 Séminaire sur les pinceaux de courbes elliptiques (à la recherche de “Mordell effectif”), tenu en 1988 à l’Institut Henri Poincaré á Paris, France. Zbl 0702.00011 1 1990 On the solutions of a system of polynomial equations on an abelian variety [after G. Faltings and P. Vojta]. (Sur les solutions d’un système d’équations polynomiales sur une variété abélienne [d’après G.Faltings et P.Vojta].) Zbl 0746.14010Szpiro, Lucien 1 1990 Zero cycles and the number of generators of an ideal. Zbl 0733.14003Bloch, Spencer; Murthy, M. Pavaman; Szpiro, Lucien 5 1989 Degrees, intersections, heights. (Degrés, intersections, hauteurs.) Zbl 1182.11029Szpiro, Lucien 14 1985 Seminar on arithmetic bundles: the Mordell conjecture (held at the École Normale Supérieure, Paris 1983–1984). (Séminaire sur les pinceaux arithmétiques: La conjecture de Mordell.) Zbl 0588.14028 10 1985 A little bit of effectiveness. (Un peu d’effectivité.) Zbl 1182.11016Szpiro, Lucien 3 1985 La conjecture de Mordell. [D’après G. Faltings]. Zbl 0591.14027Szpiro, Lucien 2 1985 Sur la théorie des complexes parfaits. Zbl 0554.13005Szpiro, L. 6 1982 Propriétés numériques du faisceau dualisant rélatif. Zbl 0517.14006Szpiro, Lucien 25 1981 Séminaire sur les pinceaux de courbes de genre au moins deux. Avec la participation de A. Beauville, M. Deschamps, M. Flexor, R. Fossum, L. Moret-Bailly, R. Menegaux, L. Szpiro. Zbl 0463.00009 12 1981 Lectures on equations defining space curves. Notes by N. Mohan Kumar. Zbl 0442.14010Szpiro, L. 25 1979 Sur le théorème de rigidite de Parsin et Arakelov. Zbl 0425.14005Szpiro, L. 20 1979 Liaison des variétés algébriques. I. Zbl 0298.14022Peskine, C.; Szpiro, L. 282 1974 Syzygies et multiplicités. Zbl 0281.13004Peskine, Christian; Szpiro, Lucien 39 1974 Travaux de Kempf, Kleiman, Laksov sur les diviseurs exceptionnels. Zbl 0264.14005Szpiro, Lucien 4 1973 Dimension projective finie et cohomologie locale. Applications à la demonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck. Zbl 0268.13008Peskine, C.; Szpiro, L. 199 1972 Variétés de codimension 2 dans P\(^n\). Zbl 0254.14020Szpiro, L. 3 1972 Dimension projective finie et cohomologie locale. Article principal: Dimension projective finie et cohomologie locale. Applications à la démonstration de conjectures de M. Auslander, H. Bass et A. Grothendieck. Thèse doct. sci. math. (Finite projective dimension and local cohomology. Fundamental article: (Finite projective dimension and local cohomology. Application to the proof of the conjectures of M.Auslander, H. Bass and A. Grothendieck.)). Zbl 0227.13003Peskine, C.; Szpiro, L. 1 1971 Théorèmes de finitude et de nullité en cohomologie des schémas. Zbl 0212.53601Peskine, C.; Szpiro, L. 1 1970 Sur la topologie des sous-schémas fermés d’un schéma localement noetherien, définis comme support d’un faisceau cohérent localement de dimension projective finie. Zbl 0184.29001Peskine, C.; Szpiro, L. 3 1969 Modules de type fini et de dimension injective finie sur un anneau local noetherien. Zbl 0162.34001Peskine, Christian; Szpiro, Lucien 1 1968 Séminaire d’algèbre commutative dirigé par P. Samuel 1966/67. Anneaux de Gorenstein, et torsion en algèbre commutative. Texte rédigé, d’après des exposés de Maurice Auslander à l’Ecole Normale Supérieure de Jeunes Filles, par Marguerite Mangeney, Christian Peskine et Lucie Szpiro. Zbl 0157.08301 3 1967 Fonctions d’ordre et valuations. Zbl 0158.29303Szpiro, L. 5 1966 all cited Publications top 5 cited Publications all top 5 Cited by 685 Authors 34 Huneke, Craig L. 20 Ulrich, Bernd 17 Kustin, Andrew R. 15 Dutta, Sankar Prasad 13 Hochster, Melvin 13 Miller, Matthew P. 12 Herzog, Jürgen 12 Migliore, Juan Carlos 11 Silverman, Joseph Hillel 10 Eisenbud, David 10 Núñez-Betancourt, Luis 10 Vasconcelos, Wolmer V. 8 Celikbas, Olgur 8 Dibaei, Mohammad T. 8 Sadeghi, Arash 8 Szpiro, Lucien 8 Takahashi, Ryo 7 Avramov, Luchezar L. 7 Nagel, Uwe 6 Geramita, Anthony Vito 6 Hartshorne, Robin 6 Lyubeznik, Gennady 6 Mantero, Paolo 6 Marley, Thomas 6 Pan Perez, Ivan 6 Petsche, Clayton 6 Walther, Uli 6 Witt, Emily E. 5 Bolondi, Giorgio 5 Bost, Jean-Benoît 5 Bruns, Winfried 5 Dao, Hailong 5 Foxby, Hans-Bjørn 5 Griffith, Phillip A. 5 Iyengar, Srikanth B. 5 Ko, Hyoung June 5 Ma, Linquan 5 Manes, Michelle 5 McCullough, Jason 5 Mirò-Roig, Rosa Maria 5 Roberts, Paul C. 5 Schenzel, Peter 5 Shin, Yong Su 5 Simis, Aron 5 Srinivasan, Hema 5 Tucker, Thomas John 4 Autissier, Pascal 4 Chambert-Loir, Antoine 4 Chiantini, Luca 4 Gheibi, Mohsen 4 Ghioca, Dragos 4 Harima, Tadahito 4 Ingram, Patrick 4 Kang, Oh-Jin 4 Kleppe, Jan Oddvar 4 Manolache, Nicolae 4 Piepmeyer, Greg 4 Polini, Claudia 4 Poonen, Bjorn 4 Ragusa, Alfio 4 Richard, Rodolphe 4 Rumely, Robert S. 4 Sather-Wagstaff, Keri 4 Seceleanu, Alexandra 4 Tousi, Massoud 4 Varbaro, Matteo 4 Yassemi, Siamak 4 Zappalà, Giuseppe 3 Angelini, Elena 3 Anghel, Cristian Viorel 3 Arrondo, Enrique 3 Bombieri, Enrico 3 Boucksom, Sébastien 3 Buchweitz, Ragnar-Olaf 3 DeMarco, Laura Grace 3 Divaani-Aazar, Kamran 3 El Khoury, Sabine 3 Favre, Charles 3 Franco, Davide 3 Freitas, Thiago H. 3 Gillet, Henri A. 3 Gonzalez-Sprinberg, Gérard 3 Hassanzadeh Hafshejani, Seyed Hamid 3 Hernández, Daniel J. 3 Hirschowitz, André 3 Hulek, Klaus 3 Hutz, Benjamin 3 Jahangiri, Maryam 3 Johnson, Mark R. 3 Jorge Pérez, Victor Hugo 3 Jorgensen, David A. 3 Khalatpour, Yaser 3 Kurano, Kazuhiko 3 Majidi-Zolbanin, Mahdi 3 Maroscia, Paolo 3 Martin-Deschamps, Mireille 3 Martin, Heath M. 3 Mashhad, Fatemeh Mohammadi Aghjeh 3 Matsui, Hiroki 3 Moriwaki, Atsushi ...and 585 more Authors all top 5 Cited in 122 Serials 93 Journal of Algebra 55 Journal of Pure and Applied Algebra 50 Transactions of the American Mathematical Society 41 Communications in Algebra 34 Proceedings of the American Mathematical Society 26 Manuscripta Mathematica 26 Mathematische Annalen 25 Journal of Number Theory 24 Mathematische Zeitschrift 21 Compositio Mathematica 21 Inventiones Mathematicae 20 Advances in Mathematics 14 Archiv der Mathematik 14 Duke Mathematical Journal 12 Annales de l’Institut Fourier 11 Bulletin of the American Mathematical Society. New Series 10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 9 Bulletin de la Société Mathématique de France 9 Journal of the European Mathematical Society (JEMS) 8 Algebra & Number Theory 7 Journal für die Reine und Angewandte Mathematik 7 Nagoya Mathematical Journal 7 Journal de Théorie des Nombres de Bordeaux 6 Beiträge zur Algebra und Geometrie 6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 6 Illinois Journal of Mathematics 6 Journal of Commutative Algebra 5 Israel Journal of Mathematics 5 Collectanea Mathematica 5 Michigan Mathematical Journal 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Journal of Symbolic Computation 5 Journal of the American Mathematical Society 5 Mémoires de la Société Mathématique de France. Nouvelle Série 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal of Algebra and its Applications 4 Mathematische Nachrichten 4 Journal of Algebraic Geometry 4 Algebra Colloquium 4 Bulletin of the American Mathematical Society 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Acta Arithmetica 3 Publications Mathématiques 3 Pacific Journal of Mathematics 3 Rendiconti del Seminario Matemàtico e Fisico di Milano 3 Tôhoku Mathematical Journal. Second Series 3 Expositiones Mathematicae 3 Journal of Algebraic Combinatorics 3 Algebras and Representation Theory 3 Kyoto Journal of Mathematics 2 Mathematics of Computation 2 The Mathematical Intelligencer 2 Acta Mathematica Vietnamica 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Geometriae Dedicata 2 Mathematika 2 Monatshefte für Mathematik 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Seminario Matematico della Università di Padova 2 Ricerche di Matematica 2 Ergodic Theory and Dynamical Systems 2 Forum Mathematicum 2 IMRN. International Mathematics Research Notices 2 Journal of Mathematical Sciences (New York) 2 Annals of Mathematics. Second Series 2 Bulletin of the Brazilian Mathematical Society. New Series 2 International Journal of Number Theory 2 Forum of Mathematics, Sigma 2 Research in the Mathematical Sciences 2 Journal of Algebraic Systems 1 Communications in Mathematical Physics 1 Linear and Multilinear Algebra 1 Mathematical Biosciences 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Acta Mathematica 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Dissertationes Mathematicae 1 Glasgow Mathematical Journal 1 Hiroshima Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of the Mathematical Society of Japan 1 Journal of Soviet Mathematics 1 Kodai Mathematical Journal 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Results in Mathematics 1 Topology and its Applications 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Bulletin of the Iranian Mathematical Society 1 \(K\)-Theory 1 Publicacions Matemàtiques 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Acta Mathematica Sinica. New Series ...and 22 more Serials all top 5 Cited in 37 Fields 435 Algebraic geometry (14-XX) 421 Commutative algebra (13-XX) 128 Number theory (11-XX) 57 Dynamical systems and ergodic theory (37-XX) 19 Several complex variables and analytic spaces (32-XX) 15 Combinatorics (05-XX) 15 Associative rings and algebras (16-XX) 15 Category theory; homological algebra (18-XX) 10 Group theory and generalizations (20-XX) 5 History and biography (01-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Potential theory (31-XX) 5 Computer science (68-XX) 4 Topological groups, Lie groups (22-XX) 4 Convex and discrete geometry (52-XX) 4 Algebraic topology (55-XX) 4 Manifolds and cell complexes (57-XX) 4 Information and communication theory, circuits (94-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Field theory and polynomials (12-XX) 3 \(K\)-theory (19-XX) 3 General topology (54-XX) 2 Real functions (26-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.