Edit Profile (opens in new tab) McCallum, William G. Compute Distance To: Compute Author ID: mccallum.william-g Published as: McCallum, William G.; McCallum, William External Links: MGP · Wikidata · IdRef Documents Indexed: 26 Publications since 1982, including 10 Books 2 Contributions as Editor Reviewing Activity: 9 Reviews Co-Authors: 61 Co-Authors with 18 Joint Publications 802 Co-Co-Authors all top 5 Co-Authors 10 single-authored 8 Hughes-Hallett, Deborah 7 Gleason, Andrew Mattei 6 Osgood, Brad G. 6 Quinney, Douglas 6 Tecosky-Feldman, Jeff 6 Tucker, Thomas W. 5 Flath, Daniel Evans 4 Gordon, Sheldon P. 4 Lock, Patti Frazer 4 Mumford, David Bryant 4 Thrash, Joe B. 3 Lomen, David O. 2 Kalayciôglu, Selin 2 Lahme, Brigitte 2 Lozano, Guadalupe I. 2 Pasquale, Andrew 2 Patterson, Cody L. 2 Poonen, Bjorn 2 Raskind, Wayne 2 Spiegler, Adam H. 2 Thrash, Karen R. 1 An, Sang Yook 1 Ash, Avner 1 Belabas, Karim 1 Beukers, Frits 1 Coleman, Robert Frederick 1 Connally, Eric 1 Forster, Susan 1 Friedberg, Solomon 1 Gaudry, Pierrick 1 Gavosto, Estela Ana 1 Howe, Roger Evans 1 Kader, Gary 1 Kasman, Reva 1 Kenney, Margaret 1 Kepner, Henry 1 Kim, Seog Young 1 Krantz, Steven George 1 Levitt, Benjamin 1 Mantini, Lisa A. 1 Marshall, David C. 1 Marshall, Susan H. 1 Martin, W. Gary 1 Menghini, Martha 1 Morris, Jerry 1 Neubrand, Michael 1 Perlis, Alexander R. 1 Reed Quander, Judith 1 Rhea, Karen 1 Robinson, Eric E. 1 Schubring, Gert 1 Sharifi, Romyar T. 1 Siksek, Samir 1 Snipes, Vincent 1 Stoll, Michael 1 Teitelbaum, Jeremy T. 1 Tzermias, Pavlos 1 Valdez, Patricia 1 Watkins, Mark James 1 Weigand, Hans-Georg 1 Zia, Lee all top 5 Serials 3 Mathematische Annalen 2 Duke Mathematical Journal 2 Journal für die Reine und Angewandte Mathematik 1 Bulletin of the Australian Mathematical Society 1 American Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Mathematical Sciences Research Institute Publications 1 CBMS Issues in Mathematics Education 1 Panoramas et Synthèses 1 ICME-13 Monographs all top 5 Fields 14 Number theory (11-XX) 13 Algebraic geometry (14-XX) 12 General and overarching topics; collections (00-XX) 7 Real functions (26-XX) 4 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 15 Publications have been cited 176 times in 164 Documents Cited by ▼ Year ▼ Jacobians of genus one curves. Zbl 1066.14035An, Sang Yook; Kim, Seog Young; Marshall, David C.; Marshall, Susan H.; McCallum, William G.; Perlis, Alexander R. 37 2001 The method of Chabauty and Coleman. Zbl 1377.11077McCallum, William; Poonen, Bjorn 35 2012 Stable reduction of Fermat curves and Jacobi sum Hecke characters. Zbl 0654.12003Coleman, Robert; McCallum, William 24 1988 A cup product in the Galois cohomology of number fields. Zbl 1047.11106McCallum, William G.; Sharifi, Romyar T. 16 2003 Duality theorems for Néron models. Zbl 0623.14023McCallum, William G. 16 1986 On the Shafarevich-Tate group of the Jacobian of a quotient of the Fermat curve. Zbl 0661.14033McCallum, William 11 1988 Kolyvagin’s work on Shafarevich-Tate groups. Zbl 0743.14022McCallum, William G. 9 1991 On the method of Coleman and Chabauty. Zbl 0824.14017McCallum, William G. 7 1994 Greenberg’s conjecture and units in multiple \(\mathbb Z_p\)-extensions. Zbl 1020.11068McCallum, William G. 5 2001 The arithmetic of Fermat curves. Zbl 0766.14013McCallum, William G. 5 1992 Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark 4 2012 Tate duality and wild ramification. Zbl 0767.11057McCallum, William G. 3 1990 On Shafarevich-Tate groups and the arithmetic of Fermat curves. Zbl 1087.11044McCallum, William G.; Tzermias, Pavlos 2 2003 Calculus. Single and multivariable. 2nd ed. Zbl 0913.26003Hughes-Hallett, Deborah; Gleason, Andrew M.; McCallum, William G.; Flath, Daniel E.; Lock, Patti Frazer; Gordon, Sheldon P.; Lomen, David O.; Lovelock, David; Mumford, David; Osgood, Brad G.; Pasquale, Andrew; Quinney, Douglas; Tecosky-Feldman, Jeff; Thrash, Joe B.; Thrash, Karen R.; Tucker, Thomas W. 1 1998 Multivariable calculus. Zbl 0892.26002McCallum, William G.; Hughes-Hallett, Deborah; Gleason, Andrew M.; Flath, Daniel; Gordon, Sheldon P.; Mumford, David; Osgood, Brad G.; Quinney, Douglas; Raskind, Wayne; Tecosky-Feldman, Jeff; Thrash, Joe B.; Tucker, Thomas W. 1 1997 The method of Chabauty and Coleman. Zbl 1377.11077McCallum, William; Poonen, Bjorn 35 2012 Explicit methods in number theory. Rational points and Diophantine equations. Zbl 1267.11002Belabas, Karim; Beukers, Frits; Gaudry, Pierrick; McCallum, William; Poonen, Bjorn; Siksek, Samir; Stoll, Michael; Watkins, Mark 4 2012 A cup product in the Galois cohomology of number fields. Zbl 1047.11106McCallum, William G.; Sharifi, Romyar T. 16 2003 On Shafarevich-Tate groups and the arithmetic of Fermat curves. Zbl 1087.11044McCallum, William G.; Tzermias, Pavlos 2 2003 Jacobians of genus one curves. Zbl 1066.14035An, Sang Yook; Kim, Seog Young; Marshall, David C.; Marshall, Susan H.; McCallum, William G.; Perlis, Alexander R. 37 2001 Greenberg’s conjecture and units in multiple \(\mathbb Z_p\)-extensions. Zbl 1020.11068McCallum, William G. 5 2001 Calculus. Single and multivariable. 2nd ed. Zbl 0913.26003Hughes-Hallett, Deborah; Gleason, Andrew M.; McCallum, William G.; Flath, Daniel E.; Lock, Patti Frazer; Gordon, Sheldon P.; Lomen, David O.; Lovelock, David; Mumford, David; Osgood, Brad G.; Pasquale, Andrew; Quinney, Douglas; Tecosky-Feldman, Jeff; Thrash, Joe B.; Thrash, Karen R.; Tucker, Thomas W. 1 1998 Multivariable calculus. Zbl 0892.26002McCallum, William G.; Hughes-Hallett, Deborah; Gleason, Andrew M.; Flath, Daniel; Gordon, Sheldon P.; Mumford, David; Osgood, Brad G.; Quinney, Douglas; Raskind, Wayne; Tecosky-Feldman, Jeff; Thrash, Joe B.; Tucker, Thomas W. 1 1997 On the method of Coleman and Chabauty. Zbl 0824.14017McCallum, William G. 7 1994 The arithmetic of Fermat curves. Zbl 0766.14013McCallum, William G. 5 1992 Kolyvagin’s work on Shafarevich-Tate groups. Zbl 0743.14022McCallum, William G. 9 1991 Tate duality and wild ramification. Zbl 0767.11057McCallum, William G. 3 1990 Stable reduction of Fermat curves and Jacobi sum Hecke characters. Zbl 0654.12003Coleman, Robert; McCallum, William 24 1988 On the Shafarevich-Tate group of the Jacobian of a quotient of the Fermat curve. Zbl 0661.14033McCallum, William 11 1988 Duality theorems for Néron models. Zbl 0623.14023McCallum, William G. 16 1986 all cited Publications top 5 cited Publications all top 5 Cited by 176 Authors 12 Fisher, Tom A. 7 Sharifi, Romyar T. 6 Balakrishnan, Jennifer S. 6 Stoll, Michael 5 Lorenzini, Dino J. 4 Cremona, John E. 4 Flynn, Eugene Victor 4 McCallum, William G. 4 Müller, Jan Steffen 3 Bennett, Michael A. 3 Besser, Amnon 3 Bianchi, Francesca 3 Jones, John William 3 Oehlmann, Paul-Konstantin 3 Poonen, Bjorn 3 Siksek, Samir 3 Stein, William A. 3 Vauclair, David 2 Anderson, Greg W. 2 Argáez-García, Alejandro 2 Braun, Volker 2 Brown, Francis C. S. 2 Checcoli, Sara 2 Çiperiani, Mirela 2 Coleman, Robert Frederick 2 Delbourgo, Daniel 2 Gonzalez-Avilés, Cristian D. 2 Grant, David R. 2 Hindes, Wade 2 Hirakawa, Yoshinosuke 2 Ishitsuka, Yasuhiro 2 König, Joachim 2 Krumm, David 2 Kuo, Jung-Miao 2 Matignon, Michel 2 Matsumura, Hideki 2 Morrison, David R. 2 Nguyen Quang Do, Thong 2 Patel, Vandita 2 Prapavessi, Despina T. 2 Sadek, Mohammad 2 Schaefer, Edward F. 2 Tsushima, Takahiro 2 Tzermias, Pavlos 2 Veneziano, Francesco 2 Viada, Evelina 2 Yamazaki, Takao 1 Amini, Omid 1 Anderson, Lara B. 1 Artin, Michael 1 Ascher, Kenneth 1 Baker, Matthew H. 1 Bandini, Andrea 1 Beaver, Cheryl DeLorme 1 Best, A. J. 1 Bhargava, Manjul 1 Biswas, Saikat 1 Bosch, Siegfried 1 Bost, Jean-Benoît 1 Bouw, Irene I. 1 Box, Josha 1 Brlek, Srečko 1 Buchmüller, Wilfried 1 Busuioc, Cecilia 1 Cantoral-Farfán, Victoria 1 Castella, Francesc 1 Česnavičius, Kęstutis 1 Chisholm, C. 1 Clement Fernández, R. 1 Coates, John H. 1 de Shalit, Ehud 1 Deajim, Abdulaziz 1 Derickx, Maarten 1 Dierigl, Markus 1 Dogra, Netan 1 Domokos, Mátyás 1 Doyle, John R. 1 Drensky, Vesselin 1 Echarri Hernández, J. M. 1 Etropolski, Anastassia 1 Fukaya, Takako 1 Gómez Ayala, Eugenio Jesús 1 González-Jiménez, Enrique 1 Gras, Georges 1 Grassi, Antonella 1 Gray, James A. 1 Green, Barry W. 1 Grigorov, Grigor 1 Grimm, Thomas W. 1 Grossi, Giada 1 Guo, Li 1 Haile, Darrell E. 1 Han, Ilseop 1 Harvey, David I. 1 Hashimoto, Sachi 1 Hilton, Adrian 1 Hornbostel, Jens 1 Howard, Benjamin 1 Ieronymou, Evis 1 Illusie, Luc ...and 76 more Authors all top 5 Cited in 53 Serials 25 Journal of Number Theory 9 Mathematische Annalen 7 Mathematics of Computation 7 Duke Mathematical Journal 6 Compositio Mathematica 6 Journal für die Reine und Angewandte Mathematik 6 Transactions of the American Mathematical Society 6 Journal de Théorie des Nombres de Bordeaux 5 Acta Arithmetica 5 Journal of Pure and Applied Algebra 5 Journal of High Energy Physics 4 Annales de l’Institut Fourier 4 Inventiones Mathematicae 4 Journal of Algebra 4 International Journal of Number Theory 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Manuscripta Mathematica 3 Annals of Mathematics. Second Series 3 LMS Journal of Computation and Mathematics 2 Advances in Mathematics 2 Functiones et Approximatio. Commentarii Mathematici 2 Journal of Symbolic Computation 2 Journal of the American Mathematical Society 2 Journal of the Ramanujan Mathematical Society 2 Kyoto Journal of Mathematics 2 Forum of Mathematics, Sigma 2 Research in the Mathematical Sciences 1 Bulletin of the Australian Mathematical Society 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Archiv der Mathematik 1 Hiroshima Mathematical Journal 1 Theoretical Computer Science 1 \(K\)-Theory 1 Revista Matemática Iberoamericana 1 Journal of Cryptology 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Experimental Mathematics 1 International Journal of Computer Vision 1 Acta Mathematica et Informatica Universitatis Ostraviensis 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu 1 Algebra & Number Theory 1 Journal of Singularities 1 Annales Mathématiques du Québec 1 European Journal of Mathematics 1 Research in Number Theory 1 Discrete Analysis 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 27 Fields 135 Number theory (11-XX) 103 Algebraic geometry (14-XX) 8 Associative rings and algebras (16-XX) 7 Field theory and polynomials (12-XX) 7 Commutative algebra (13-XX) 6 Quantum theory (81-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-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. 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