Edit Profile Stein, William A. Compute Distance To: Compute Author ID: stein.william-a Published as: Stein, William; Stein, William A. External Links: MGP · Wikidata · GND Documents Indexed: 44 Publications since 2000, including 3 Books Biographic References: 1 Publication all top 5 Co-Authors 6 single-authored 4 Agashe, Amod 4 Watkins, Mark James 3 Balakrishnan, Jennifer S. 3 Mazur, Barry 3 Ribet, Kenneth Alan 2 Conrad, Brian 2 Jetchev, Dimitar P. 1 Bektemirov, Baur 1 Buzzard, Kevin 1 Calegari, Frank 1 Çiperiani, Mirela 1 Coleman, Robert Frederick 1 Dummigan, Neil 1 Edixhoven, Bas 1 Flynn, Eugene Victor 1 Grigorov, Grigor 1 Ho, Wei 1 Jorza, Andrei 1 Kaplan, Nathan 1 Kohel, David R. 1 Lauter, Kristin Estella 1 Leprévost, Franck 1 Merel, Loïc 1 Müller, Jan Steffen 1 Patrikis, Stefan T. 1 Schaefer, Edward F. 1 Spicer, Simon 1 Stoll, Michael 1 Tarniţǎ, Corina E. 1 Tate, John Torrence jun. 1 Verrill, Helena A. 1 Weigandt, James all top 5 Serials 5 Mathematics of Computation 4 Documenta Mathematica 3 IMRN. International Mathematics Research Notices 2 Journal of Number Theory 2 LMS Journal of Computation and Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Research Letters 1 Pure and Applied Mathematics Quarterly Fields 32 Number theory (11-XX) 5 Algebraic geometry (14-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 39 Publications have been cited 328 times in 272 Documents Cited by ▼ Year ▼ Modular forms, a computational approach. With an appendix by Paul E. Gunnells. Zbl 1110.11015Stein, William 93 2007 The Manin constant. (With an appendix by J. Cremona). Zbl 1109.11032Agashe, Amod; Ribet, Kenneth; Stein, William A. 17 2006 SAGE: system for algebra and geometry experimentation. Zbl 1341.68315Stein, William; Joyner, David 16 2005 Average ranks of elliptic curves: tension between data and conjecture. Zbl 1190.11032Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark 15 2007 Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. Zbl 1020.11043Flynn, E. Victor; Leprévost, Franck; Schaefer, Edward F.; Stein, William A.; Stoll, Michael 15 2001 Computation of \(p\)-adic heights and log convergence. Zbl 1135.11034Mazur, Barry; Stein, William; Tate, John 14 2007 \(J_1(p)\) has connected fibers. Zbl 1101.14311Conrad, Brian; Edixhoven, Bas; Stein, William 14 2003 Computational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curves. Zbl 1209.11059Grigorov, Grigor; Jorza, Andrei; Patrikis, Stefan; Stein, William A.; Tarnita, Corina 12 2009 Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero. With an Appendix by J. Cremona and B. Mazur. Zbl 1084.11033Agashe, Amod; Stein, William 12 2005 Component groups of purely toric quotients. Zbl 1081.11040Conrad, Brian; Stein, William A. 10 2001 Lectures on Serre’s conjectures. Zbl 1160.11327Ribet, Kenneth A.; Stein, William A. 10 2001 Algorithms for the arithmetic of elliptic curves using Iwasawa theory. Zbl 1336.11047Stein, William; Wuthrich, Christian 9 2013 The modular degree, congruence primes, and multiplicity one. Zbl 1276.11087Agashe, Amod; Ribet, Kenneth A.; Stein, William A. 9 2012 Visibility of Shafarevich-Tate groups of abelian varieties. Zbl 1101.14055Agashe, Amod; Stein, William 8 2002 Fast computation of Hermite normal forms of random integer matrices. Zbl 1206.15027Pernet, Clément; Stein, William 7 2010 Elementary number theory. Primes, congruences, and secrets. A computational approach. Zbl 1155.11002Stein, William 7 2009 A database of elliptic curves – first report. Zbl 1058.11036Stein, William A.; Watkins, Mark 7 2002 Shafarevich-Tate groups of nonsquare order. Zbl 1080.11047Stein, William A. 5 2004 Modular parametrizations of Neumann-Setzer elliptic curves. Zbl 1088.11043Stein, William; Watkins, Mark 4 2004 There are genus one curves over \({\mathbb Q}\) of every odd index. Zbl 1002.11050Stein, William A. 4 2002 The field generated by the points of small prime order on an elliptic curve. Zbl 1027.11041Merel, Loïc; Stein, William A. 4 2001 A \(p\)-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties. Zbl 1402.11099Balakrishnan, Jennifer S.; Müller, J. Steffen; Stein, William A. 3 2016 Sage: creating a viable free open source alternative to Magma, Maple, Mathematica, and MATLAB. Zbl 1316.65123Stein, William 3 2013 On the generation of the coefficient field of a newform by a single Hecke eigenvalue. Zbl 1171.11027Koo, Koopa Tak-Lun; Stein, William; Wiese, Gabor 3 2008 Conjectures about discriminants of Hecke algebras of prime level. Zbl 1125.11320Calegari, Frank; Stein, William A. 3 2004 Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks. Zbl 1391.11077Balakrishnan, Jennifer S.; Ho, Wei; Kaplan, Nathan; Spicer, Simon; Stein, William; Weigandt, James 2 2016 A database of elliptic curves over \(\mathbb Q(\sqrt{5})\): a first report. Zbl 1344.11045Bober, Jonathan; Deines, Alyson; Klages-Mundt, Ariah; LeVeque, Benjamin; Ohana, R. Andrew; Rabindranath, Ashwath; Sharaba, Paul; Stein, William 2 2013 The Sage project: unifying free mathematical software to create a viable alternative to Magma, Maple, Mathematica and Matlab. Zbl 1295.68225Eröcal, Burçin; Stein, William 2 2010 Explicit Heegner points: Kolyvagin’s conjecture and non-trivial elements in the Shafarevich-Tate group. Zbl 1228.11082Jetchev, Dimitar; Lauter, Kristin; Stein, William 2 2009 An introduction to computing modular forms using modular symbols. Zbl 1188.11074Stein, William A. 2 2008 Approximation of eigenforms of infinite slope by eigenforms of finite slope. Zbl 1101.11015Coleman, Robert F.; Stein, William A. 2 2004 Constructing elements in Shafarevich-Tate groups of modular motives. Zbl 1161.11354Dummigan, Neil; Stein, William; Watkins, Mark 2 2003 A mod five approach to modularity of icosahedral Galois representations. Zbl 1054.11028Buzzard, Kevin; Stein, William A. 2 2002 Cuspidal modular symbols are transportable. Zbl 1049.11054Stein, William A.; Verrill, Helena A. 2 2001 Component groups of quotients of \(J_0(N)\). Zbl 0984.11022Kohel, David R.; Stein, William A. 2 2000 Prime numbers and the Riemann hypothesis. Zbl 1356.11001Mazur, Barry; Stein, William 1 2016 \(p\)-adic heights of Heegner points and \(\Lambda\)-adic regulators. Zbl 1316.11116Balakrishnan, Jennifer S.; Çiperiani, Mirela; Stein, William 1 2015 Heegner points and the arithmetic of elliptic curves over ring class extensions. Zbl 1276.11088Bradshaw, Robert; Stein, William 1 2012 Toward a generalization of the Gross-Zagier conjecture. Zbl 1278.11070Stein, William A. 1 2011 A \(p\)-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties. Zbl 1402.11099Balakrishnan, Jennifer S.; Müller, J. Steffen; Stein, William A. 3 2016 Databases of elliptic curves ordered by height and distributions of Selmer groups and ranks. Zbl 1391.11077Balakrishnan, Jennifer S.; Ho, Wei; Kaplan, Nathan; Spicer, Simon; Stein, William; Weigandt, James 2 2016 Prime numbers and the Riemann hypothesis. Zbl 1356.11001Mazur, Barry; Stein, William 1 2016 \(p\)-adic heights of Heegner points and \(\Lambda\)-adic regulators. Zbl 1316.11116Balakrishnan, Jennifer S.; Çiperiani, Mirela; Stein, William 1 2015 Algorithms for the arithmetic of elliptic curves using Iwasawa theory. Zbl 1336.11047Stein, William; Wuthrich, Christian 9 2013 Sage: creating a viable free open source alternative to Magma, Maple, Mathematica, and MATLAB. Zbl 1316.65123Stein, William 3 2013 A database of elliptic curves over \(\mathbb Q(\sqrt{5})\): a first report. Zbl 1344.11045Bober, Jonathan; Deines, Alyson; Klages-Mundt, Ariah; LeVeque, Benjamin; Ohana, R. Andrew; Rabindranath, Ashwath; Sharaba, Paul; Stein, William 2 2013 The modular degree, congruence primes, and multiplicity one. Zbl 1276.11087Agashe, Amod; Ribet, Kenneth A.; Stein, William A. 9 2012 Heegner points and the arithmetic of elliptic curves over ring class extensions. Zbl 1276.11088Bradshaw, Robert; Stein, William 1 2012 Toward a generalization of the Gross-Zagier conjecture. Zbl 1278.11070Stein, William A. 1 2011 Fast computation of Hermite normal forms of random integer matrices. Zbl 1206.15027Pernet, Clément; Stein, William 7 2010 The Sage project: unifying free mathematical software to create a viable alternative to Magma, Maple, Mathematica and Matlab. Zbl 1295.68225Eröcal, Burçin; Stein, William 2 2010 Computational verification of the Birch and Swinnerton-Dyer conjecture for individual elliptic curves. Zbl 1209.11059Grigorov, Grigor; Jorza, Andrei; Patrikis, Stefan; Stein, William A.; Tarnita, Corina 12 2009 Elementary number theory. Primes, congruences, and secrets. A computational approach. Zbl 1155.11002Stein, William 7 2009 Explicit Heegner points: Kolyvagin’s conjecture and non-trivial elements in the Shafarevich-Tate group. Zbl 1228.11082Jetchev, Dimitar; Lauter, Kristin; Stein, William 2 2009 On the generation of the coefficient field of a newform by a single Hecke eigenvalue. Zbl 1171.11027Koo, Koopa Tak-Lun; Stein, William; Wiese, Gabor 3 2008 An introduction to computing modular forms using modular symbols. Zbl 1188.11074Stein, William A. 2 2008 Modular forms, a computational approach. With an appendix by Paul E. Gunnells. Zbl 1110.11015Stein, William 93 2007 Average ranks of elliptic curves: tension between data and conjecture. Zbl 1190.11032Bektemirov, Baur; Mazur, Barry; Stein, William; Watkins, Mark 15 2007 Computation of \(p\)-adic heights and log convergence. Zbl 1135.11034Mazur, Barry; Stein, William; Tate, John 14 2007 The Manin constant. (With an appendix by J. Cremona). Zbl 1109.11032Agashe, Amod; Ribet, Kenneth; Stein, William A. 17 2006 SAGE: system for algebra and geometry experimentation. Zbl 1341.68315Stein, William; Joyner, David 16 2005 Visible evidence for the Birch and Swinnerton-Dyer conjecture for modular abelian varieties of analytic rank zero. With an Appendix by J. Cremona and B. Mazur. Zbl 1084.11033Agashe, Amod; Stein, William 12 2005 Shafarevich-Tate groups of nonsquare order. Zbl 1080.11047Stein, William A. 5 2004 Modular parametrizations of Neumann-Setzer elliptic curves. Zbl 1088.11043Stein, William; Watkins, Mark 4 2004 Conjectures about discriminants of Hecke algebras of prime level. Zbl 1125.11320Calegari, Frank; Stein, William A. 3 2004 Approximation of eigenforms of infinite slope by eigenforms of finite slope. Zbl 1101.11015Coleman, Robert F.; Stein, William A. 2 2004 \(J_1(p)\) has connected fibers. Zbl 1101.14311Conrad, Brian; Edixhoven, Bas; Stein, William 14 2003 Constructing elements in Shafarevich-Tate groups of modular motives. Zbl 1161.11354Dummigan, Neil; Stein, William; Watkins, Mark 2 2003 Visibility of Shafarevich-Tate groups of abelian varieties. Zbl 1101.14055Agashe, Amod; Stein, William 8 2002 A database of elliptic curves – first report. Zbl 1058.11036Stein, William A.; Watkins, Mark 7 2002 There are genus one curves over \({\mathbb Q}\) of every odd index. Zbl 1002.11050Stein, William A. 4 2002 A mod five approach to modularity of icosahedral Galois representations. Zbl 1054.11028Buzzard, Kevin; Stein, William A. 2 2002 Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves. Zbl 1020.11043Flynn, E. Victor; Leprévost, Franck; Schaefer, Edward F.; Stein, William A.; Stoll, Michael 15 2001 Component groups of purely toric quotients. Zbl 1081.11040Conrad, Brian; Stein, William A. 10 2001 Lectures on Serre’s conjectures. Zbl 1160.11327Ribet, Kenneth A.; Stein, William A. 10 2001 The field generated by the points of small prime order on an elliptic curve. Zbl 1027.11041Merel, Loïc; Stein, William A. 4 2001 Cuspidal modular symbols are transportable. Zbl 1049.11054Stein, William A.; Verrill, Helena A. 2 2001 Component groups of quotients of \(J_0(N)\). Zbl 0984.11022Kohel, David R.; Stein, William A. 2 2000 all cited Publications top 5 cited Publications all top 5 Cited by 382 Authors 11 Stein, William A. 9 Balakrishnan, Jennifer S. 6 Agashe, Amod 6 Alaca, Ayşe 6 Mazur, Barry 6 Wuthrich, Christian 5 Alaca, Şaban 5 Aygin, Zafer Selçuk 5 Müller, Jan Steffen 5 Papikian, Mihran 5 Stoll, Michael 4 Fisher, Tom A. 4 Hutz, Benjamin 4 Siksek, Samir 3 Calegari, Frank 3 Gunnells, Paul E. 3 Hohenegger, Stefan 3 Lorenzini, Dino J. 3 Lozano-Robledo, Álvaro 3 Park, Yoon Kyung 3 Sahu, Brundaban 3 Shankar, Arul 3 Ye, Dongxi 2 Aguilera-Venegas, Gabriel 2 Ahlgren, Scott D. 2 Bennett, Michael A. 2 Besser, Amnon 2 Bhargava, Manjul 2 Braun, Oliver 2 Bruin, Nils 2 Bruin, Peter 2 Çeken, Seçil 2 Coulangeon, Renaud 2 Derickx, Maarten 2 Dixon, Lance J. 2 Dogra, Netan 2 Flynn, Eugene Victor 2 Galán-García, José Luis 2 Galán-García, María-Ángeles 2 Guitart, Xavier 2 Halle, Lars Halvard 2 Harvey, David I. 2 Ho, Wei 2 Jenkins, Paul M. 2 Jorza, Andrei 2 Kazalicki, Matija 2 Kesicioğlu, Yavuz 2 Kilford, Lloyd James Peter 2 Kim, Chan-Ho 2 Kirst, Peter 2 Kohen, Daniel 2 Krishna, K. Gopala 2 Lauder, Alan G. B. 2 Loeffler, David 2 Mascot, Nicolas 2 Masdeu, Marc 2 McLeod, Andrew J. 2 Miller, Robert L. 2 Palmieri, John H. 2 Papathanasiou, Georgios 2 Pernet, Clément 2 Poonen, Bjorn 2 Ramakrishnan, Balakrishnan 2 Rechnitzer, Andrew Daniel 2 Roberts, David Peter 2 Rodríguez-Cielos, Pedro 2 Rotger, Victor 2 Rubin, Karl Cooper 2 Schaefer, Edward F. 2 Silverberg, Alice 2 Singh, Anup Kumar 2 Sprung, Florian E. Ito 2 Stein, Oliver 2 Sun, Hae-Sang 2 Sutherland, Andrew V. 2 van Bommel, Raymond 2 Vigni, Stefano 2 Voight, John Michael 2 Volpato, Roberto 2 Vonk, Jan 2 Wang, Yanhua 2 Wewers, Stefan 2 Yasaki, Dan 2 Zhang, James J. 2 Zhang, Yichao 1 Agarwal, Mahesh 1 Altiary, Mada 1 Angelantonj, Carlo 1 Anni, Samuele 1 Ansmann, Gerrit 1 Armana, Cécile 1 Ash, Avner 1 Ashrafi, Ali Reza 1 Atencia-Mc. Killop, Iván 1 Baig, Salman 1 Bakker, Benjamin 1 Bannai, Eiichi 1 Barcau, Mugurel A. 1 Bastian, Brice 1 Bektemirov, Baur ...and 282 more Authors all top 5 Cited in 75 Serials 36 Journal of Number Theory 29 Mathematics of Computation 14 International Journal of Number Theory 11 Journal of High Energy Physics 10 Proceedings of the American Mathematical Society 10 Journal de Théorie des Nombres de Bordeaux 9 The Ramanujan Journal 8 LMS Journal of Computation and Mathematics 7 Journal of Algebra 6 Mathematische Annalen 5 Annales de l’Institut Fourier 5 Functiones et Approximatio. Commentarii Mathematici 5 Journal für die Reine und Angewandte Mathematik 5 Mathematische Zeitschrift 5 Transactions of the American Mathematical Society 5 Annals of Mathematics. Second Series 4 Inventiones Mathematicae 4 Bulletin of the American Mathematical Society. New Series 4 Experimental Mathematics 3 Acta Arithmetica 3 Advances in Mathematics 3 Compositio Mathematica 3 Duke Mathematical Journal 3 Journal of the Mathematical Society of Japan 3 Journal of Symbolic Computation 3 Linear Algebra and its Applications 3 Research in Number Theory 2 Israel Journal of Mathematics 2 Applied Mathematics and Computation 2 Manuscripta Mathematica 2 Theoretical Computer Science 2 Integers 2 Research in the Mathematical Sciences 2 SIAM Journal on Applied Algebra and Geometry 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Analysis and Applications 1 Mathematische Semesterberichte 1 The Mathematical Intelligencer 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 The Annals of Statistics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Indiana University Mathematics Journal 1 Journal of Optimization Theory and Applications 1 Journal of Pure and Applied Algebra 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Tohoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 European Journal of Combinatorics 1 Revista Matemática Iberoamericana 1 Formal Aspects of Computing 1 Journal of Global Optimization 1 Indagationes Mathematicae. New Series 1 Journal of Algebraic Geometry 1 Selecta Mathematica. New Series 1 Annals of Combinatorics 1 Chaos 1 Journal of the European Mathematical Society (JEMS) 1 Communications of the Korean Mathematical Society 1 Foundations of Computational Mathematics 1 Applied Mathematics E-Notes 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Journal of Algebra and its Applications 1 Journal of Mathematical Cryptology 1 Algebra & Number Theory 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics 1 Open Mathematics 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 37 Fields 228 Number theory (11-XX) 70 Algebraic geometry (14-XX) 10 Quantum theory (81-XX) 8 Relativity and gravitational theory (83-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Computer science (68-XX) 6 Combinatorics (05-XX) 6 Information and communication theory, circuits (94-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Numerical analysis (65-XX) 4 Nonassociative rings and algebras (17-XX) 4 Group theory and generalizations (20-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 2 Mathematical logic and foundations (03-XX) 2 Partial differential equations (35-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-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.