Edit Profile (opens in new tab) Bhargava, Manjul Compute Distance To: Compute Author ID: bhargava.manjul Published as: Bhargava, Manjul; Bhargava, M. Homepage: https://www.math.princeton.edu/directory/manjul-bhargava External Links: MGP · Wikidata · dblp · GND · IdRef Awards: Clay Research Award (2005) · Fields Medal (2014) Documents Indexed: 49 Publications since 1997 2 Contributions as Editor · 2 Further Contributions Biographic References: 7 Publications Co-Authors: 40 Co-Authors with 34 Joint Publications 1,086 Co-Co-Authors all top 5 Co-Authors 17 single-authored 4 Gross, Benedict Hyman 4 Shankar, Arul 3 Cremona, John E. 3 Fisher, Tom A. 3 Shnidman, Ari 3 Wang, Xiaoheng 2 Ho, Wei 2 Klagsbrun, Zev 2 Lemke Oliver, Robert J. 2 Poonen, Bjorn 2 Tiep Pham Huu 2 Tsimerman, Jacob 2 Varma, Ila 1 Akhtari, Shabnam 1 Alladi, Krishnaswami 1 Beineke, Jennifer E. 1 Belabas, Karim 1 Cahen, Paul-Jean 1 Elkies, Noam David 1 Ghate, Eknath P. 1 Guralnick, Robert Michael 1 Harron, Piper 1 Hiss, Gerhard 1 Jones, Nick G. 1 Kane, Daniel M. 1 Keating, Jonathan Peter 1 Kedlaya, Kiran Sridhara 1 Kumar, Abhinav 1 Lenstra, Hendrik W. jun. 1 Lux, Klaus Martin 1 Persson, Ulf A. 1 Pomerance, Carl Bernard 1 Rains, Eric M. 1 Rosenhouse, Jason 1 Satriano, Matthew 1 Savitt, David 1 Shnidman, Ariel 1 Skinner, Christopher M. 1 Taniguchi, Takashi 1 Thorne, Frank 1 Wood, Melanie Matchett 1 Yeramian, Julie 1 Zieve, Michael E. all top 5 Serials 8 Annals of Mathematics. Second Series 3 Duke Mathematical Journal 3 Journal of the American Mathematical Society 2 Inventiones Mathematicae 2 IMRN. International Mathematics Research Notices 2 International Journal of Number Theory 2 Algebra & Number Theory 2 Cambridge Journal of Mathematics 1 American Mathematical Monthly 1 Discrete Mathematics 1 Acta Arithmetica 1 American Journal of Mathematics 1 Compositio Mathematica 1 Journal of Algebra 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Publicationes Mathematicae Debrecen 1 Journal of the Ramanujan Mathematical Society 1 Journal of Algebraic Geometry 1 Finite Fields and their Applications 1 European Mathematical Society Newsletter 1 Journal of the European Mathematical Society (JEMS) 1 Contemporary Mathematics 1 Developments in Mathematics 1 Forum of Mathematics, Sigma all top 5 Fields 46 Number theory (11-XX) 10 Algebraic geometry (14-XX) 5 Commutative algebra (13-XX) 3 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 766 times in 412 Documents Cited by ▼ Year ▼ The density of discriminants of quartic rings and fields. Zbl 1159.11045Bhargava, Manjul 70 2005 \(P\)-orderings and polynomial functions on arbitrary subsets of Dedekind rings. Zbl 0899.13022Bhargava, Manjul 63 1997 The density of discriminants of quintic rings and fields. Zbl 1220.11139Bhargava, Manjul 47 2010 On the Conway-Schneeberger Fifteen Theorem. Zbl 0987.11027Bhargava, Manjul 46 2000 The factorial function and generalizations. Zbl 0987.05003Bhargava, Manjul 46 2000 Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves. Zbl 1307.11071Bhargava, Manjul; Shankar, Arul 39 2015 Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations. Zbl 1072.11078Bhargava, Manjul 35 2004 Higher composition laws. III: The parametrization of quartic rings. Zbl 1169.11045Bhargava, Manjul 34 2004 On the Davenport-Heilbronn theorems and second order terms. Zbl 1294.11191Bhargava, Manjul; Shankar, Arul; Tsimerman, Jacob 31 2013 Mass formulae for extensions of local fields, and conjectures on the density of number field discriminants. Zbl 1145.11080Bhargava, Manjul 25 2007 Higher composition laws. II: On cubic analogues of Gauss composition. Zbl 1169.11044Bhargava, Manjul 24 2004 Generalized factorials and fixed divisors over subsets of a Dedekind domain. Zbl 0931.13004Bhargava, Manjul 23 1998 Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0. Zbl 1317.11038Bhargava, Manjul; Shankar, Arul 18 2015 On \(P\)-orderings, rings of integer-valued polynomials, and ultrametric analysis. Zbl 1219.11047Bhargava, Manjul 18 2009 Higher composition laws. IV: The parametrization of quintic rings. Zbl 1173.11058Bhargava, Manjul 17 2008 Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. Zbl 1329.14071Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric 16 2015 Factoring Dickson polynomials over finite fields. Zbl 0929.11060Bhargava, Manjul; Zieve, Michael E. 15 1999 Error estimates for the Davenport-Heilbronn theorems. Zbl 1227.11114Belabas, Karim; Bhargava, Manjul; Pomerance, Carl 15 2010 The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point. Zbl 1303.11072Bhargava, Manjul; Gross, Benedict H. 15 2013 Arithmetic invariant theory. Zbl 1377.11045Bhargava, Manjul; Gross, Benedict H. 13 2014 Coregular spaces and genus one curves. Zbl 1342.14074Bhargava, Manjul; Ho, Wei 12 2016 A positive proportion of locally soluble hyperelliptic curves over \(\mathbb {Q}\) have no point over any odd degree extension. Zbl 1385.11043Bhargava, Manjul; Gross, Benedict H.; Wang, Xiaoheng 12 2017 The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields. Zbl 1347.11074Bhargava, Manjul; Harron, Piper 11 2016 The density of discriminants of \(S_3\)-sextic number fields. Zbl 1171.11058Bhargava, Manjul; Wood, Melanie Matchett 10 2008 Higher composition laws and applications. Zbl 1129.11049Bhargava, Manjul 10 2006 On the number of cubic orders of bounded discriminant having automorphism group \(C_3\), and related problems. Zbl 1298.11102Bhargava, Manjul; Shnidman, Ariel 10 2014 Arithmetic invariant theory II: pure inner forms and obstructions to the existence of orbits. Zbl 1377.11046Bhargava, Manjul; Gross, Benedict H.; Wang, Xiaoheng 9 2015 Continuous functions on compact subsets of local fields. Zbl 0979.11054Bhargava, Manjul; Kedlaya, Kiran S. 9 1999 Finite generation properties for various rings of integer-valued polynomials. Zbl 1177.13051Bhargava, Manjul; Cahen, Paul-Jean; Yeramian, Julie 8 2009 Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. Zbl 1456.11101Bhargava, M.; Shankar, A.; Taniguchi, T.; Thorne, F.; Tsimerman, J.; Zhao, Y. 8 2020 The proportion of plane cubic curves over \(\mathbb{Q}\) that everywhere locally have a point. Zbl 1341.11033Bhargava, Manjul; Cremona, John; Fisher, Tom 7 2016 The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders. Zbl 1407.11126Bhargava, Manjul; Varma, Ila 6 2016 On a notion of “Galois closure” for extensions of rings. Zbl 1396.13007Bhargava, Manjul; Satriano, Matthew 6 2014 A positive proportion of Thue equations fail the integral Hasse principle. Zbl 1450.11026Akhtari, Shabnam; Bhargava, Manjul 6 2019 What is the probability that a random integral quadratic form in \(n\) variables has an integral zero? Zbl 1404.11035Bhargava, Manjul; Cremona, John E.; Fisher, Tom; Jones, Nick G.; Keating, Jonathan P. 6 2016 A positive proportion of elliptic curves over \(\mathbb Q\) have rank one. Zbl 1315.11045Bhargava, Manjul; Skinner, Christopher 5 2014 On the mean number of 2-torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields. Zbl 1335.11093Bhargava, Manjul; Varma, Ila 5 2015 Congruence preservation and polynomial functions from \(\mathbb{Z}_n\) to \(\mathbb{Z}_m\). Zbl 0883.11011Bhargava, Manjul 3 1997 On the average number of octahedral newforms of prime level. Zbl 1206.11049Bhargava, Manjul; Ghate, Eknath 3 2009 Finite simple groups: thirty years of the atlas and beyond. International conference celebrating the atlases and honoring John Conway, Princeton University, Princeton, NJ, USA, November 2–5, 2015. Zbl 1372.20002 3 2017 Orbit parametrizations for \(K3\) surfaces. Zbl 1346.14099Bhargava, Manjul; Ho, Wei; Kumar, Abhinav 2 2016 Gauss composition and generalizations. Zbl 1058.11030Bhargava, Manjul 2 2002 \(3\)-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field. Zbl 1442.14084Bhargava, Manjul; Klagsbrun, Zev; Oliver, Robert J. Lemke; Shnidman, Ari 1 2019 Rational points on elliptic and hyperelliptic curves. Zbl 1373.11045Bhargava, Manjul 1 2014 Elements of given order in Tate-Shafarevich groups of abelian varieties in quadratic twist families. Zbl 1478.11082Bhargava, Manjul; Klagsbrun, Zev; Lemke Oliver, Robert J.; Shnidman, Ari 1 2021 Elements of given order in Tate-Shafarevich groups of abelian varieties in quadratic twist families. Zbl 1478.11082Bhargava, Manjul; Klagsbrun, Zev; Lemke Oliver, Robert J.; Shnidman, Ari 1 2021 Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves. Zbl 1456.11101Bhargava, M.; Shankar, A.; Taniguchi, T.; Thorne, F.; Tsimerman, J.; Zhao, Y. 8 2020 A positive proportion of Thue equations fail the integral Hasse principle. Zbl 1450.11026Akhtari, Shabnam; Bhargava, Manjul 6 2019 \(3\)-isogeny Selmer groups and ranks of abelian varieties in quadratic twist families over a number field. Zbl 1442.14084Bhargava, Manjul; Klagsbrun, Zev; Oliver, Robert J. Lemke; Shnidman, Ari 1 2019 A positive proportion of locally soluble hyperelliptic curves over \(\mathbb {Q}\) have no point over any odd degree extension. Zbl 1385.11043Bhargava, Manjul; Gross, Benedict H.; Wang, Xiaoheng 12 2017 Finite simple groups: thirty years of the atlas and beyond. International conference celebrating the atlases and honoring John Conway, Princeton University, Princeton, NJ, USA, November 2–5, 2015. Zbl 1372.20002 3 2017 Coregular spaces and genus one curves. Zbl 1342.14074Bhargava, Manjul; Ho, Wei 12 2016 The equidistribution of lattice shapes of rings of integers in cubic, quartic, and quintic number fields. Zbl 1347.11074Bhargava, Manjul; Harron, Piper 11 2016 The proportion of plane cubic curves over \(\mathbb{Q}\) that everywhere locally have a point. Zbl 1341.11033Bhargava, Manjul; Cremona, John; Fisher, Tom 7 2016 The mean number of 3-torsion elements in the class groups and ideal groups of quadratic orders. Zbl 1407.11126Bhargava, Manjul; Varma, Ila 6 2016 What is the probability that a random integral quadratic form in \(n\) variables has an integral zero? Zbl 1404.11035Bhargava, Manjul; Cremona, John E.; Fisher, Tom; Jones, Nick G.; Keating, Jonathan P. 6 2016 Orbit parametrizations for \(K3\) surfaces. Zbl 1346.14099Bhargava, Manjul; Ho, Wei; Kumar, Abhinav 2 2016 Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves. Zbl 1307.11071Bhargava, Manjul; Shankar, Arul 39 2015 Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0. Zbl 1317.11038Bhargava, Manjul; Shankar, Arul 18 2015 Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves. Zbl 1329.14071Bhargava, Manjul; Kane, Daniel M.; Lenstra, Hendrik W. jun.; Poonen, Bjorn; Rains, Eric 16 2015 Arithmetic invariant theory II: pure inner forms and obstructions to the existence of orbits. Zbl 1377.11046Bhargava, Manjul; Gross, Benedict H.; Wang, Xiaoheng 9 2015 On the mean number of 2-torsion elements in the class groups, narrow class groups, and ideal groups of cubic orders and fields. Zbl 1335.11093Bhargava, Manjul; Varma, Ila 5 2015 Arithmetic invariant theory. Zbl 1377.11045Bhargava, Manjul; Gross, Benedict H. 13 2014 On the number of cubic orders of bounded discriminant having automorphism group \(C_3\), and related problems. Zbl 1298.11102Bhargava, Manjul; Shnidman, Ariel 10 2014 On a notion of “Galois closure” for extensions of rings. Zbl 1396.13007Bhargava, Manjul; Satriano, Matthew 6 2014 A positive proportion of elliptic curves over \(\mathbb Q\) have rank one. Zbl 1315.11045Bhargava, Manjul; Skinner, Christopher 5 2014 Rational points on elliptic and hyperelliptic curves. Zbl 1373.11045Bhargava, Manjul 1 2014 On the Davenport-Heilbronn theorems and second order terms. Zbl 1294.11191Bhargava, Manjul; Shankar, Arul; Tsimerman, Jacob 31 2013 The average size of the 2-Selmer group of Jacobians of hyperelliptic curves having a rational Weierstrass point. Zbl 1303.11072Bhargava, Manjul; Gross, Benedict H. 15 2013 The density of discriminants of quintic rings and fields. Zbl 1220.11139Bhargava, Manjul 47 2010 Error estimates for the Davenport-Heilbronn theorems. Zbl 1227.11114Belabas, Karim; Bhargava, Manjul; Pomerance, Carl 15 2010 On \(P\)-orderings, rings of integer-valued polynomials, and ultrametric analysis. Zbl 1219.11047Bhargava, Manjul 18 2009 Finite generation properties for various rings of integer-valued polynomials. Zbl 1177.13051Bhargava, Manjul; Cahen, Paul-Jean; Yeramian, Julie 8 2009 On the average number of octahedral newforms of prime level. Zbl 1206.11049Bhargava, Manjul; Ghate, Eknath 3 2009 Higher composition laws. IV: The parametrization of quintic rings. Zbl 1173.11058Bhargava, Manjul 17 2008 The density of discriminants of \(S_3\)-sextic number fields. Zbl 1171.11058Bhargava, Manjul; Wood, Melanie Matchett 10 2008 Mass formulae for extensions of local fields, and conjectures on the density of number field discriminants. Zbl 1145.11080Bhargava, Manjul 25 2007 Higher composition laws and applications. Zbl 1129.11049Bhargava, Manjul 10 2006 The density of discriminants of quartic rings and fields. Zbl 1159.11045Bhargava, Manjul 70 2005 Higher composition laws. I: A new view on Gauss composition, and quadratic generalizations. Zbl 1072.11078Bhargava, Manjul 35 2004 Higher composition laws. III: The parametrization of quartic rings. Zbl 1169.11045Bhargava, Manjul 34 2004 Higher composition laws. II: On cubic analogues of Gauss composition. Zbl 1169.11044Bhargava, Manjul 24 2004 Gauss composition and generalizations. Zbl 1058.11030Bhargava, Manjul 2 2002 On the Conway-Schneeberger Fifteen Theorem. Zbl 0987.11027Bhargava, Manjul 46 2000 The factorial function and generalizations. Zbl 0987.05003Bhargava, Manjul 46 2000 Factoring Dickson polynomials over finite fields. Zbl 0929.11060Bhargava, Manjul; Zieve, Michael E. 15 1999 Continuous functions on compact subsets of local fields. Zbl 0979.11054Bhargava, Manjul; Kedlaya, Kiran S. 9 1999 Generalized factorials and fixed divisors over subsets of a Dedekind domain. Zbl 0931.13004Bhargava, Manjul 23 1998 \(P\)-orderings and polynomial functions on arbitrary subsets of Dedekind rings. Zbl 0899.13022Bhargava, Manjul 63 1997 Congruence preservation and polynomial functions from \(\mathbb{Z}_n\) to \(\mathbb{Z}_m\). Zbl 0883.11011Bhargava, Manjul 3 1997 all cited Publications top 5 cited Publications all top 5 Cited by 469 Authors 21 Bhargava, Manjul 18 Chabert, Jean-Luc 12 Wood, Melanie Matchett 11 Adam, David 10 Oh, Byeong-Kweon 10 Shankar, Arul 9 Cahen, Paul-Jean 9 Thorne, Frank 8 Johnson, Keith Peter 7 Fisher, Tom A. 6 Cohen, Henri 6 Mantilla-Soler, Guillermo 6 Poonen, Bjorn 5 Fares, Youssef 5 Ho, Wei 5 Kala, Vítězslav 5 Kaplan, Nathan 5 Kim, Henry H. 5 Sha, Min 5 Taniguchi, Takashi 5 Wang, Xiaoheng 5 Xiao, Stanley Yao 4 Cho, Peter Jaehyun 4 Creutz, Brendan 4 Evrard, Sabine 4 Gross, Benedict Hyman 4 Ishitsuka, Yasuhiro 4 Ji, Yun-Seong 4 Ju, Jangwon 4 Lemke Oliver, Robert J. 4 Li, Xiumei 4 O’Dorney, Evan M. 4 Peruginelli, Giulio 4 Thorne, Jack A. 4 Tsimerman, Jacob 4 Widmer, Martin 3 Alberts, Brandon 3 Belabas, Karim 3 Boulanger, Jacques 3 Diaz y Diaz, Francisco 3 Earnest, Andrew G. 3 Ellenberg, Jordan S. 3 Frisch, Sophie 3 Kim, Byeong Moon 3 Kim, Ji Young 3 Kim, Myung-Hwan 3 Klagsbrun, Zev 3 Lagarias, Jeffrey C. 3 Malle, Gunter 3 Olivier, Michel 3 Pierce, Lillian B. 3 Prasad, Devendra 3 Rouse, Jeremy A. 3 Stoll, Michael 3 Thakur, Dinesh S. 3 Varma, Ila 3 Voight, John Michael 3 Wang, Jiuya 3 Werner, Nicholas J. 3 Williams, Kenneth S. 3 Yeramian, Julie 3 Yucas, Joseph L. 2 Barquero-Sanchez, Adrian 2 Biesel, Owen 2 Blomer, Valentin 2 Bochnak, Jacek 2 Borsten, Leron 2 Budarina, Natalia Viktorovna 2 Cegielski, Patrick 2 Cremona, John E. 2 Dèbes, Pierre 2 Delaunay, Christophe 2 Duff, Michael J. 2 Evans, Ronald J. 2 Fitzgerald, Robert W. 2 Frei, Christopher 2 Gao, Xia 2 Gioia, Alberto 2 Greither, Cornelius 2 Grigorieff, Serge 2 Grinberg, Darij 2 Guessarian, Irène 2 Gunawardana, B. L. K. 2 Harron, Robert 2 Hirakawa, Yoshinosuke 2 Hough, Bob 2 Hough, Robert D. 2 Ito, Tetsushi 2 Jacobson, Michael John jun. 2 Jones, John William 2 Kane, Ben 2 Kane, Daniel M. 2 Kedlaya, Kiran Sridhara 2 Kim, Daejun 2 Kim, Mingyu 2 Kim, Myeong Jae 2 Klüners, Jürgen 2 Köklüce, Bülent 2 Kominers, Scott Duke 2 König, Joachim ...and 369 more Authors all top 5 Cited in 111 Serials 53 Journal of Number Theory 23 International Journal of Number Theory 19 Journal of Algebra 15 Proceedings of the American Mathematical Society 15 Finite Fields and their Applications 15 The Ramanujan Journal 13 Compositio Mathematica 11 Journal de Théorie des Nombres de Bordeaux 10 Transactions of the American Mathematical Society 9 Research in Number Theory 8 Duke Mathematical Journal 8 Research in the Mathematical Sciences 7 Inventiones Mathematicae 7 Journal of Pure and Applied Algebra 6 Mathematics of Computation 6 Advances in Mathematics 6 Journal of the European Mathematical Society (JEMS) 6 Forum of Mathematics, Sigma 5 Communications in Algebra 5 Mathematical Proceedings of the Cambridge Philosophical Society 5 Journal of the American Mathematical Society 5 Annals of Mathematics. Second Series 4 American Mathematical Monthly 4 Mathematische Annalen 4 Mathematische Zeitschrift 4 Journal of the Ramanujan Mathematical Society 4 Algebra & Number Theory 3 Bulletin of the Australian Mathematical Society 3 Acta Arithmetica 3 Bulletin of the London Mathematical Society 3 Monatshefte für Mathematik 3 Bulletin of the American Mathematical Society. New Series 3 Experimental Mathematics 3 Journal of Algebraic Combinatorics 3 Documenta Mathematica 3 LMS Journal of Computation and Mathematics 3 Integers 3 Actes des Rencontres du C.I.R.M. 2 Communications in Mathematical Physics 2 Israel Journal of Mathematics 2 Annales de l’Institut Fourier 2 Canadian Journal of Mathematics 2 Commentarii Mathematici Helvetici 2 Journal of Approximation Theory 2 Journal of Combinatorial Theory. Series A 2 Journal of the Korean Mathematical Society 2 Journal für die Reine und Angewandte Mathematik 2 Manuscripta Mathematica 2 Mathematika 2 Transformation Groups 2 Journal of the Australian Mathematical Society 2 Journal of the Institute of Mathematics of Jussieu 1 Communications on Pure and Applied Mathematics 1 Discrete Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 The Mathematical Gazette 1 Rocky Mountain Journal of Mathematics 1 Mathematics Magazine 1 Algebra Universalis 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Kyungpook Mathematical Journal 1 Mathematica Slovaca 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 European Journal of Combinatorics 1 Forum Mathematicum 1 International Journal of Algebra and Computation 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Filomat 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 Séminaire Lotharingien de Combinatoire 1 Taiwanese Journal of Mathematics 1 Journal of Group Theory 1 Annals of Combinatorics 1 Physical Review Letters 1 Portugaliae Mathematica. Nova Série 1 Journal of Algebra and its Applications 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 The College Mathematics Journal 1 European Journal of Pure and Applied Mathematics 1 Involve ...and 11 more Serials all top 5 Cited in 42 Fields 340 Number theory (11-XX) 79 Commutative algebra (13-XX) 72 Algebraic geometry (14-XX) 23 Field theory and polynomials (12-XX) 21 Group theory and generalizations (20-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 14 Combinatorics (05-XX) 10 Nonassociative rings and algebras (17-XX) 7 Associative rings and algebras (16-XX) 6 Topological groups, Lie groups (22-XX) 5 Probability theory and stochastic processes (60-XX) 5 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 \(K\)-theory (19-XX) 3 Functional analysis (46-XX) 3 Convex and discrete geometry (52-XX) 3 Relativity and gravitational theory (83-XX) 2 Category theory; homological algebra (18-XX) 2 Functions of a complex variable (30-XX) 2 Abstract harmonic analysis (43-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-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.