Edit Profile (opens in new tab) Rubin, Karl Cooper Co-Author Distance Author ID: rubin.karl Published as: Rubin, Karl; Rubin, K. External Links: MGP · Wikidata · IdRef Documents Indexed: 75 Publications since 1981, including 2 Books 3 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 29 Co-Authors with 51 Joint Publications 866 Co-Co-Authors all top 5 Co-Authors 27 single-authored 24 Mazur, Barry 23 Silverberg, Alice 3 Klagsbrun, Zev 2 Friedlander, John Benjamin 2 Iwaniec, Henryk 2 Popescu, Cristian D. 1 Boneh, Dan 1 Çiperiani, Mirela 1 Conrad, Brian 1 de Smit, Bart 1 Granger, Robert A. 1 Greenberg, Ralph 1 Greither, Cornelius 1 Khare, Chandrashekhar 1 Lang, Serge 1 Larsen, Michael Jeffrey 1 Page, Dan 1 Pollack, Robert 1 Rains, Eric M. 1 Replogle, Daniel R. 1 Scholl, Travis 1 Schoof, René 1 Sharif, Shahed 1 Skinner, Christopher M. 1 Srivastav, Anupam 1 Stam, Martijn 1 Stoll, Michael 1 Thorne, Jack A. 1 van Dijk, Marten 1 Wiles, Andrew John 1 Woodruff, David P. all top 5 Serials 11 Inventiones Mathematicae 4 Annals of Mathematics. Second Series 3 Compositio Mathematica 3 Journal of Number Theory 2 American Journal of Mathematics 2 Bulletin of the American Mathematical Society. New Series 2 Experimental Mathematics 2 Journal de Théorie des Nombres de Bordeaux 2 IAS/Park City Mathematics Series 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematics of Computation 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Journal of Algebra 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Computing 1 Transactions of the American Mathematical Society 1 Journal of Cryptology 1 Proceedings of the National Academy of Sciences of the United States of America 1 Notices of the American Mathematical Society 1 Documenta Mathematica 1 Annals of Mathematics Studies 1 Graduate Texts in Mathematics 1 Algebra & Number Theory 1 Proceedings of the American Mathematical Society. Series B all top 5 Fields 69 Number theory (11-XX) 41 Algebraic geometry (14-XX) 8 Information and communication theory, circuits (94-XX) 4 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Computer science (68-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 68 Publications have been cited 1,087 times in 702 Documents Cited by ▼ Year ▼ The “main conjectures” of Iwasawa theory for imaginary quadratic fields. Zbl 0737.11030Rubin, Karl 122 1991 Cyclotomic fields. I and II. With an appendix by Karl Rubin: The main conjecture. Combined 2nd edition. Zbl 0704.11038Lang, Serge 94 1990 Euler systems. (Hermann Weyl lectures). Zbl 0977.11001Rubin, Karl 71 2000 Kolyvagin systems. Zbl 1055.11041Mazur, Barry; Rubin, Karl 60 2004 A Stark conjecture “over \({\mathbb{Z}}\)” for abelian \(L\)-functions with multiple zeros. Zbl 0834.11044Rubin, Karl 53 1996 Ranks of twists of elliptic curves and Hilbert’s tenth problem. Zbl 1227.11075Mazur, B.; Rubin, K. 49 2010 Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication. Zbl 0628.14018Rubin, Karl 43 1987 Finding large Selmer rank via an arithmetic theory of local constants. Zbl 1219.11084Mazur, Barry; Rubin, Karl 36 2007 Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer. Zbl 0506.14039Rubin, Karl 29 1981 Families of elliptic curves with constant \(\text{mod }p\) representations. Zbl 0856.11027Rubin, K.; Silverberg, A. 27 1995 On the main conjecture of Iwasawa theory for imaginary quadratic fields. Zbl 0673.12004Rubin, Karl 26 1988 Swan modules and Hilbert-Speiser number fields. Zbl 0941.11044Greither, Cornelius; Replogle, Daniel R.; Rubin, Karl; Srivastav, Anupam 25 1999 Global units and ideal class groups. Zbl 0628.12007Rubin, Karl 25 1987 Ranks of elliptic curves. Zbl 1052.11039Rubin, Karl; Silverberg, Alice 24 2002 Twisting commutative algebraic groups. Zbl 1128.14034Mazur, B.; Rubin, K.; Silverberg, A. 22 2007 Disparity in Selmer ranks of quadratic twists of elliptic curves. Zbl 1300.11063Klagsbrun, Zev; Mazur, Barry; Rubin, Karl 22 2013 Supersingular Abelian varieties in cryptology. Zbl 1026.94540Rubin, Karl; Silverberg, Alice 21 2002 \(p\)-adic \(L\)-functions and rational points on elliptic curves with complex multiplication. Zbl 0770.11033Rubin, Karl 20 1992 Congruences for special values of L-functions of elliptic curves with complex multiplication. Zbl 0513.14012Rubin, Karl 20 1983 The main conjecture for CM elliptic curves at supersingular primes. Zbl 1082.11035Pollack, Robert; Rubin, Karl 20 2004 Torus-based cryptography. Zbl 1122.94400Rubin, Karl; Silverberg, Alice 19 2003 Rank frequencies for quadratic twists of elliptic curves. Zbl 1035.11025Rubin, Karl; Silverberg, Alice 18 2001 Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer. Zbl 0991.11028Rubin, Karl 16 1999 Euler systems and modular elliptic curves. Zbl 0952.11016Rubin, Karl 15 1998 Stark units and Kolyvagin’s “Euler systems”. Zbl 0752.11045Rubin, Karl 14 1992 Diophantine stability. Zbl 1491.14036Mazur, Barry; Rubin, Karl 14 2018 Mod \(2\) representations of elliptic curves. Zbl 1030.11025Rubin, K.; Silverberg, A. 14 2001 Choosing the correct elliptic curve in the CM method. Zbl 1213.11127Rubin, K.; Silverberg, A. 13 2010 The spin of prime ideals. Zbl 1296.11150Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K. 13 2013 Local units, elliptic units, Heegner points and elliptic curves. Zbl 0623.14006Rubin, Karl 11 1987 Compression in finite fields and torus-based cryptography. Zbl 1211.94036Rubin, K.; Silverberg, A. 11 2008 Practical cryptography in high dimensional tori. Zbl 1137.94362van Dijk, Marten; Granger, Robert; Page, Dan; Rubin, Karl; Silverberg, Alice; Stam, Martijn; Woodruff, David 9 2005 Controlling Selmer groups in the higher core rank case. Zbl 1411.11065Mazur, Barry; Rubin, Karl 9 2016 The one-variable main conjecture for elliptic curves with complex multiplication. Zbl 0741.11028Rubin, Karl 8 1991 Point counting on reductions of CM elliptic curves. Zbl 1194.11068Rubin, K.; Silverberg, A. 8 2009 Using abelian varieties to improve pairing-based cryptography. Zbl 1170.94013Rubin, K.; Silverberg, A. 8 2009 Elliptic curves and class field theory. Zbl 1036.11023Mazur, Barry; Rubin, Karl 8 2002 Finding composite order ordinary elliptic curves using the Cocks-Pinch method. Zbl 1217.11061Boneh, D.; Rubin, K.; Silverberg, A. 8 2011 A Markov model for Selmer ranks in families of twists. Zbl 1316.11045Klagsbrun, Zev; Mazur, Barry; Rubin, Karl 8 2014 Growth of Selmer rank in nonabelian extensions of number fields. Zbl 1151.11023Mazur, Barry; Rubin, Karl 7 2008 Refined class number formulas for \(\mathbb{G}_m\). Zbl 1414.11155Mazur, Barry; Rubin, Karl 7 2016 Using primitive subgroups to do more with fewer bits. Zbl 1125.94328Rubin, K.; Silverberg, A. 7 2004 Mordell-Weil groups of elliptic curves over cyclotomic fields. Zbl 0519.14017Rubin, Karl; Wiles, Andrew 7 1982 On elliptic curves with an isogeny of degree 7. Zbl 1296.11063Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M. 7 2014 Kolyvagin’s system of Gauss sums. Zbl 0727.11044Rubin, Karl 7 1991 Refined class number formulas and Kolyvagin systems. Zbl 1225.11144Mazur, Barry; Rubin, Karl 7 2011 More “Main Conjectures” for imaginary quadratic fields. Zbl 0809.11066Rubin, Karl 7 1994 Abelian varieties, \(p\)-adic heights and derivatives. Zbl 0829.11034Rubin, Karl 7 1994 \(p\)-adic variants of the Birch and Swinnerton-Dyer conjecture for elliptic curves with complex multiplication. Zbl 0862.14014Rubin, Karl 7 1994 Twists of elliptic curves of rank at least four. Zbl 1213.11122Rubin, K.; Silverberg, A. 7 2007 Organizing the arithmetic of elliptic curves. Zbl 1122.11038Mazur, Barry; Rubin, Karl 6 2005 Ranks of elliptic curves in families of quadratic twists. Zbl 0959.11023Rubin, Karl; Silverberg, Alice 6 2000 Elliptic curves and \({\mathbb{Z}}_ p\)-extensions. Zbl 0599.14028Rubin, Karl 6 1985 Criteria for complete intersections. Zbl 0903.13003De Smit, Bart; Rubin, Karl; Schoof, René 6 1997 Modularity of mod 5 representations. Zbl 0914.11030Rubin, Karl 6 1997 Mod 6 representations of elliptic curves. Zbl 0933.11031Rubin, Karl; Silverberg, Alice 6 1999 Studying the growth of Mordell-Weil. Zbl 1142.11339Mazur, Barry; Rubin, Karl 6 2003 Arithmetic algebraic geometry. Expanded lectures delivered at the graduate summer school of the Institute for Advanced Study/Park City Mathematics Institute, Park City, UT, USA, June 20–July 10, 1999. Zbl 0974.00034 4 2001 Fudge factors in the Birch and Swinnerton-Dyer conjecture. Zbl 1213.11137Rubin, Karl 4 2007 Finding large Selmer groups. Zbl 1211.11068Mazur, Barry; Rubin, Karl 3 2005 Algebraic tori in cryptography. Zbl 1073.94014Rubin, Karl; Silverberg, Alice 3 2004 Selmer companion curves. Zbl 1316.11047Mazur, Barry; Rubin, Karl 3 2015 Euler systems and exact formulas in number theory. Zbl 0871.11044Rubin, K. 3 1996 A report on Wiles’ Cambridge lectures. Zbl 0924.11046Rubin, K.; Silverberg, A. 3 1994 Pairings in the arithmetic of elliptic curves. Zbl 1071.11028Mazur, Barry; Rubin, Karl 2 2004 Erratum to: “The spin of prime ideals”. Zbl 1330.11072Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K. 2 2015 Tate-Shafarevich groups of elliptic curves with complex multiplication. Zbl 0753.14026Rubin, Karl 1 1989 The work of Kolyvagin on the arithmetic of elliptic curves. Zbl 0702.14028Rubin, Karl 1 1989 Diophantine stability. Zbl 1491.14036Mazur, Barry; Rubin, Karl 14 2018 Controlling Selmer groups in the higher core rank case. Zbl 1411.11065Mazur, Barry; Rubin, Karl 9 2016 Refined class number formulas for \(\mathbb{G}_m\). Zbl 1414.11155Mazur, Barry; Rubin, Karl 7 2016 Selmer companion curves. Zbl 1316.11047Mazur, Barry; Rubin, Karl 3 2015 Erratum to: “The spin of prime ideals”. Zbl 1330.11072Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K. 2 2015 A Markov model for Selmer ranks in families of twists. Zbl 1316.11045Klagsbrun, Zev; Mazur, Barry; Rubin, Karl 8 2014 On elliptic curves with an isogeny of degree 7. Zbl 1296.11063Greenberg, R.; Rubin, K.; Silverberg, A.; Stoll, M. 7 2014 Disparity in Selmer ranks of quadratic twists of elliptic curves. Zbl 1300.11063Klagsbrun, Zev; Mazur, Barry; Rubin, Karl 22 2013 The spin of prime ideals. Zbl 1296.11150Friedlander, J. B.; Iwaniec, H.; Mazur, B.; Rubin, K. 13 2013 Finding composite order ordinary elliptic curves using the Cocks-Pinch method. Zbl 1217.11061Boneh, D.; Rubin, K.; Silverberg, A. 8 2011 Refined class number formulas and Kolyvagin systems. Zbl 1225.11144Mazur, Barry; Rubin, Karl 7 2011 Ranks of twists of elliptic curves and Hilbert’s tenth problem. Zbl 1227.11075Mazur, B.; Rubin, K. 49 2010 Choosing the correct elliptic curve in the CM method. Zbl 1213.11127Rubin, K.; Silverberg, A. 13 2010 Point counting on reductions of CM elliptic curves. Zbl 1194.11068Rubin, K.; Silverberg, A. 8 2009 Using abelian varieties to improve pairing-based cryptography. Zbl 1170.94013Rubin, K.; Silverberg, A. 8 2009 Compression in finite fields and torus-based cryptography. Zbl 1211.94036Rubin, K.; Silverberg, A. 11 2008 Growth of Selmer rank in nonabelian extensions of number fields. Zbl 1151.11023Mazur, Barry; Rubin, Karl 7 2008 Finding large Selmer rank via an arithmetic theory of local constants. Zbl 1219.11084Mazur, Barry; Rubin, Karl 36 2007 Twisting commutative algebraic groups. Zbl 1128.14034Mazur, B.; Rubin, K.; Silverberg, A. 22 2007 Twists of elliptic curves of rank at least four. Zbl 1213.11122Rubin, K.; Silverberg, A. 7 2007 Fudge factors in the Birch and Swinnerton-Dyer conjecture. Zbl 1213.11137Rubin, Karl 4 2007 Practical cryptography in high dimensional tori. Zbl 1137.94362van Dijk, Marten; Granger, Robert; Page, Dan; Rubin, Karl; Silverberg, Alice; Stam, Martijn; Woodruff, David 9 2005 Organizing the arithmetic of elliptic curves. Zbl 1122.11038Mazur, Barry; Rubin, Karl 6 2005 Finding large Selmer groups. Zbl 1211.11068Mazur, Barry; Rubin, Karl 3 2005 Kolyvagin systems. Zbl 1055.11041Mazur, Barry; Rubin, Karl 60 2004 The main conjecture for CM elliptic curves at supersingular primes. Zbl 1082.11035Pollack, Robert; Rubin, Karl 20 2004 Using primitive subgroups to do more with fewer bits. Zbl 1125.94328Rubin, K.; Silverberg, A. 7 2004 Algebraic tori in cryptography. Zbl 1073.94014Rubin, Karl; Silverberg, Alice 3 2004 Pairings in the arithmetic of elliptic curves. Zbl 1071.11028Mazur, Barry; Rubin, Karl 2 2004 Torus-based cryptography. Zbl 1122.94400Rubin, Karl; Silverberg, Alice 19 2003 Studying the growth of Mordell-Weil. Zbl 1142.11339Mazur, Barry; Rubin, Karl 6 2003 Ranks of elliptic curves. Zbl 1052.11039Rubin, Karl; Silverberg, Alice 24 2002 Supersingular Abelian varieties in cryptology. Zbl 1026.94540Rubin, Karl; Silverberg, Alice 21 2002 Elliptic curves and class field theory. Zbl 1036.11023Mazur, Barry; Rubin, Karl 8 2002 Rank frequencies for quadratic twists of elliptic curves. Zbl 1035.11025Rubin, Karl; Silverberg, Alice 18 2001 Mod \(2\) representations of elliptic curves. Zbl 1030.11025Rubin, K.; Silverberg, A. 14 2001 Arithmetic algebraic geometry. Expanded lectures delivered at the graduate summer school of the Institute for Advanced Study/Park City Mathematics Institute, Park City, UT, USA, June 20–July 10, 1999. Zbl 0974.00034 4 2001 Euler systems. (Hermann Weyl lectures). Zbl 0977.11001Rubin, Karl 71 2000 Ranks of elliptic curves in families of quadratic twists. Zbl 0959.11023Rubin, Karl; Silverberg, Alice 6 2000 Swan modules and Hilbert-Speiser number fields. Zbl 0941.11044Greither, Cornelius; Replogle, Daniel R.; Rubin, Karl; Srivastav, Anupam 25 1999 Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer. Zbl 0991.11028Rubin, Karl 16 1999 Mod 6 representations of elliptic curves. Zbl 0933.11031Rubin, Karl; Silverberg, Alice 6 1999 Euler systems and modular elliptic curves. Zbl 0952.11016Rubin, Karl 15 1998 Criteria for complete intersections. Zbl 0903.13003De Smit, Bart; Rubin, Karl; Schoof, René 6 1997 Modularity of mod 5 representations. Zbl 0914.11030Rubin, Karl 6 1997 A Stark conjecture “over \({\mathbb{Z}}\)” for abelian \(L\)-functions with multiple zeros. Zbl 0834.11044Rubin, Karl 53 1996 Euler systems and exact formulas in number theory. Zbl 0871.11044Rubin, K. 3 1996 Families of elliptic curves with constant \(\text{mod }p\) representations. Zbl 0856.11027Rubin, K.; Silverberg, A. 27 1995 More “Main Conjectures” for imaginary quadratic fields. Zbl 0809.11066Rubin, Karl 7 1994 Abelian varieties, \(p\)-adic heights and derivatives. Zbl 0829.11034Rubin, Karl 7 1994 \(p\)-adic variants of the Birch and Swinnerton-Dyer conjecture for elliptic curves with complex multiplication. Zbl 0862.14014Rubin, Karl 7 1994 A report on Wiles’ Cambridge lectures. Zbl 0924.11046Rubin, K.; Silverberg, A. 3 1994 \(p\)-adic \(L\)-functions and rational points on elliptic curves with complex multiplication. Zbl 0770.11033Rubin, Karl 20 1992 Stark units and Kolyvagin’s “Euler systems”. Zbl 0752.11045Rubin, Karl 14 1992 The “main conjectures” of Iwasawa theory for imaginary quadratic fields. Zbl 0737.11030Rubin, Karl 122 1991 The one-variable main conjecture for elliptic curves with complex multiplication. Zbl 0741.11028Rubin, Karl 8 1991 Kolyvagin’s system of Gauss sums. Zbl 0727.11044Rubin, Karl 7 1991 Cyclotomic fields. I and II. With an appendix by Karl Rubin: The main conjecture. Combined 2nd edition. Zbl 0704.11038Lang, Serge 94 1990 Tate-Shafarevich groups of elliptic curves with complex multiplication. Zbl 0753.14026Rubin, Karl 1 1989 The work of Kolyvagin on the arithmetic of elliptic curves. Zbl 0702.14028Rubin, Karl 1 1989 On the main conjecture of Iwasawa theory for imaginary quadratic fields. Zbl 0673.12004Rubin, Karl 26 1988 Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication. Zbl 0628.14018Rubin, Karl 43 1987 Global units and ideal class groups. Zbl 0628.12007Rubin, Karl 25 1987 Local units, elliptic units, Heegner points and elliptic curves. Zbl 0623.14006Rubin, Karl 11 1987 Elliptic curves and \({\mathbb{Z}}_ p\)-extensions. Zbl 0599.14028Rubin, Karl 6 1985 Congruences for special values of L-functions of elliptic curves with complex multiplication. Zbl 0513.14012Rubin, Karl 20 1983 Mordell-Weil groups of elliptic curves over cyclotomic fields. Zbl 0519.14017Rubin, Karl; Wiles, Andrew 7 1982 Elliptic curves with complex multiplication and the conjecture of Birch and Swinnerton-Dyer. Zbl 0506.14039Rubin, Karl 29 1981 all cited Publications top 5 cited Publications all top 5 Cited by 630 Authors 28 Rubin, Karl Cooper 20 Lei, Antonio 18 Mazur, Barry 17 Büyükboduk, Kâzim 10 Burns, David John 10 Burungale, Ashay A. 10 Castella, Francesc 10 Silverberg, Alice 9 Ichimura, Humio 8 Coates, John Henry 8 Loeffler, David 8 Lozano-Robledo, Álvaro 7 Sano, Takamichi 7 Shlapentokh, Alexandra 7 Skinner, Christopher M. 7 Ramdorai, Sujatha 6 Bertolini, Massimo 6 Greither, Cornelius 6 Klagsbrun, Zev 6 Macias Castillo, Daniel 6 Ochiai, Tadashi 6 Replogle, Daniel R. 6 Shekhar, Sudhanshu 6 Solomon, David R. 6 Sutherland, Andrew V. 6 Tian, Ye 6 Wuthrich, Christian 6 Zerbes, Sarah Livia 5 Berger, Tobias 5 Çiperiani, Mirela 5 Hsieh, Ming-Lun 5 Kezuka, Yukako 5 Kim, Byoung Du 5 Klosin, Krzysztof 5 Kundu, Debanjana 5 Longo, Matteo 5 Murty, Maruti Ram 5 Oukhaba, Hassan 5 Ray, Anwesh 5 Sakamoto, Ryotaro 5 Seo, Soogil 4 Agboola, Adebisi 4 Bellaïche, Joël 4 Boxall, John L. 4 Dąbrowski, Andrzej Bogdan 4 Daniels, Harris B. 4 Darmon, Henri René 4 Dokchitser, Tim 4 Fisher, Tom A. 4 Galbraith, Steven D. 4 Greenberg, Ralph 4 Guo, Li 4 Hida, Haruzo 4 Kim, Chan-Ho 4 Koymans, Peter 4 Kurihara, Masato 4 Lim, Meng Fai 4 Milovic, Djordjo Z. 4 Naehrig, Michael 4 Najman, Filip 4 Perrin-Riou, Bernadette 4 Rohrlich, David E. 4 Stein, William A. 4 Szymaszkiewicz, Lucjan 4 Tilouine, Jacques 4 Yu, Myungjun 3 All, Timothy 3 Bennett, Michael A. 3 Blinkiewicz, Dorota 3 Buckingham, Paul Richard 3 Bullach, Dominik 3 Byeon, Dongho 3 Česnavičius, Kęstutis 3 Chetty, Sunil 3 Choi, Junhwa 3 Conrad, Brian 3 Cornacchia, Pietro 3 Daoud, Alexandre 3 David, Chantal 3 Dokchitser, Vladimir 3 Dujella, Andrej 3 Freeman, David Mandell 3 Freitas, Nuno 3 Gorla, Elisa 3 Guillevic, Aurore 3 Howard, Benjamin 3 Jeong, Keunyoung 3 Karabina, Koray 3 Kataoka, Takenori 3 Kato, Kazuya 3 Kobayashi, Shinichi 3 Kraus, Alain 3 Lee, Jung-Jo 3 Li, Chao 3 Li, Yongxiong 3 Massierer, Maike 3 Mazigh, Youness 3 McMeekin, Christine 3 Miller, Steven J. 3 Nekovář, Jan ...and 530 more Authors all top 5 Cited in 120 Serials 85 Journal of Number Theory 39 Inventiones Mathematicae 25 Transactions of the American Mathematical Society 24 Mathematics of Computation 22 Compositio Mathematica 22 Journal de Théorie des Nombres de Bordeaux 20 Duke Mathematical Journal 20 International Journal of Number Theory 19 Mathematische Annalen 18 Annales de l’Institut Fourier 13 Acta Arithmetica 13 Journal für die Reine und Angewandte Mathematik 11 Mathematische Zeitschrift 10 Proceedings of the Japan Academy. Series A 10 Annales Mathématiques du Québec 9 Proceedings of the American Mathematical Society 9 Annals of Mathematics. Second Series 9 Algebra & Number Theory 8 Manuscripta Mathematica 8 Bulletin of the American Mathematical Society. New Series 7 Advances in Mathematics 7 Journal of Algebra 7 Journal of the London Mathematical Society. Second Series 6 Israel Journal of Mathematics 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Rocky Mountain Journal of Mathematics 6 Functiones et Approximatio. Commentarii Mathematici 6 Glasgow Mathematical Journal 6 Journal of the Ramanujan Mathematical Society 6 Designs, Codes and Cryptography 6 Experimental Mathematics 6 Forum of Mathematics, Sigma 6 Research in Number Theory 5 Canadian Journal of Mathematics 5 Nagoya Mathematical Journal 5 Tokyo Journal of Mathematics 5 Journal of Cryptology 5 Forum Mathematicum 5 Documenta Mathematica 5 The Ramanujan Journal 5 LMS Journal of Computation and Mathematics 5 Journal of Mathematical Cryptology 5 Kyoto Journal of Mathematics 4 Journal of Pure and Applied Algebra 4 Revista Matemática Iberoamericana 4 Journal of the American Mathematical Society 4 Finite Fields and their Applications 4 Selecta Mathematica. New Series 4 Acta Mathematica Sinica. English Series 4 Journal of the Institute of Mathematics of Jussieu 3 Publications Mathématiques 3 Proceedings of the London Mathematical Society. Third Series 3 Tôhoku Mathematical Journal. Second Series 3 Journal of Algebraic Geometry 3 Journal of the European Mathematical Society (JEMS) 3 Advances in Mathematics of Communications 3 Research in the Mathematical Sciences 2 Periodica Mathematica Hungarica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Archiv der Mathematik 2 Bulletin of the London Mathematical Society 2 Bulletin de la Société Mathématique de France 2 Canadian Mathematical Bulletin 2 Czechoslovak Mathematical Journal 2 Journal of Computational and Applied Mathematics 2 Journal of the Mathematical Society of Japan 2 Mathematische Nachrichten 2 Memoirs of the American Mathematical Society 2 Rendiconti del Seminario Matematico della Università di Padova 2 Geometric and Functional Analysis. GAFA 2 Applicable Algebra in Engineering, Communication and Computing 2 Milan Journal of Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Proceedings of the American Mathematical Society. Series B 2 Transactions of the American Mathematical Society. Series B 1 International Journal of Modern Physics A 1 Communications in Algebra 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Problems of Information Transmission 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Colloquium Mathematicum 1 Illinois Journal of Mathematics 1 Information Sciences 1 Journal of the Korean Mathematical Society 1 The Journal of Symbolic Logic 1 Kodai Mathematical Journal 1 Mathematika 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Theoretical Computer Science 1 Bulletin of the Korean Mathematical Society 1 Journal of Symbolic Computation 1 Journal of Complexity 1 Publicacions Matemàtiques 1 Science in China. Series A 1 Annals of Operations Research 1 The Journal of Geometric Analysis 1 Proceedings of the National Academy of Sciences of the United States of America ...and 20 more Serials all top 5 Cited in 30 Fields 655 Number theory (11-XX) 209 Algebraic geometry (14-XX) 52 Information and communication theory, circuits (94-XX) 9 Mathematical logic and foundations (03-XX) 9 Group theory and generalizations (20-XX) 8 Field theory and polynomials (12-XX) 7 \(K\)-theory (19-XX) 5 Commutative algebra (13-XX) 5 Computer science (68-XX) 4 Associative rings and algebras (16-XX) 3 History and biography (01-XX) 3 Quantum theory (81-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-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. 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