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## Skinner, Christopher M.

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 Author ID: skinner.christopher-m Published as: Skinner, C.; Skinner, C. M.; Skinner, Chris; Skinner, Chris M.; Skinner, Christopher; Skinner, Christopher M. Homepage: http://math.caltech.edu/events/Skinner%20CV.pdf External Links: MGP · Wikidata · GND
 Documents Indexed: 44 Publications since 1989
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#### Co-Authors

 14 single-authored 4 Urban, Eric 4 Wiles, Andrew John 3 Harris, Michael Howard 3 Li, Jian-Shu 3 Ono, Ken 2 Wooley, Trevor D. 1 Bennett, Michael A. 1 Bhargava, Manjul 1 Bruinier, Jan Hendrik 1 Çiperiani, Mirela 1 Ehrenborg, Richard 1 Eischen, Ellen Elizabeth 1 Ellenberg, Jordan S. 1 James, Kevin 1 Jetchev, Dimitar P. 1 Jordan, Bruce W. 1 Khare, Chandrashekhar 1 Klagsbrun, Zev 1 Kohnen, Winfried 1 Mazur, Barry 1 Odlyzko, Andrew M. 1 Poonen, Bjorn 1 Rubin, Karl Cooper 1 Smith, Peter R. 1 Thorne, Jack A. 1 Vatsal, Vinayak 1 Wan, Xin 1 Zaytman, Yevgeny
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#### Serials

 3 Duke Mathematical Journal 2 Acta Arithmetica 2 Inventiones Mathematicae 2 Pacific Journal of Mathematics 2 Documenta Mathematica 2 Annals of Mathematics. Second Series 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Journal of the Ramanujan Mathematical Society 1 Designs, Codes and Cryptography 1 Proceedings of the National Academy of Sciences of the United States of America 1 Notices of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal de Théorie des Nombres de Bordeaux 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu 1 Algebra & Number Theory 1 Forum of Mathematics, Pi 1 Cambridge Journal of Mathematics 1 Tunisian Journal of Mathematics
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#### Fields

 35 Number theory (11-XX) 5 Algebraic geometry (14-XX) 2 Combinatorics (05-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 $$K$$-theory (19-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH

35 Publications have been cited 464 times in 364 Documents Cited by Year
The Iwasawa Main Conjectures for $$\mathrm{GL}_{2}$$. Zbl 1301.11074
Skinner, Christopher; Urban, Eric
2014
Ternary Diophantine equations via Galois representations and modular forms. Zbl 1053.11025
Bennett, Michael A.; Skinner, Chris M.
2004
Residually reducible representations and modular forms. Zbl 1005.11030
Skinner, C. M.; Wiles, A. J.
1999
Non-vanishing of quadratic twists of modular $$L$$-functions. Zbl 0937.11017
Ono, Ken; Skinner, Christopher
1998
Nearly ordinary deformations of irreducible residual representations. Zbl 1024.11036
Skinner, C. M.; Wiles, Andrew J.
2001
On the $$p$$-adic deformations of certain automorphic representations. Zbl 1169.11314
Skinner, Christopher; Urban, Eric
2006
Fourier coefficients of half-integral weight modular forms modulo $$\ell$$. Zbl 0907.11017
Ono, Ken; Skinner, Christopher
1998
Base change and a problem of Serre. Zbl 1016.11017
Skinner, C. M.; Wiles, A. J.
2001
A public-key cryptosystem and a digital signature system based on the Lucas function analogue to discrete logarithms. Zbl 0872.94041
Smith, Peter; Skinner, Christopher
1995
Ordinary representations and modular forms. Zbl 0924.11044
Skinner, C. M.; Wiles, A. J.
1997
$$p$$-adic $$L$$-functions for unitary Shimura varieties. I: Construction of the Eisenstein measure. Zbl 1143.11019
Harris, Michael; Li, Jian-Shu; Skinner, Christopher M.
2007
Forms over number fields and weak approximation. Zbl 0892.11014
Skinner, C. M.
1997
A note on the $$p$$-adic Galois representations attached to Hilbert modular forms. Zbl 1177.11045
Skinner, Christopher
2009
The Rallis inner product formula and $$p$$-adic $$L$$-functions. Zbl 1103.11017
Harris, Michael; Li, Jian-Shu; Skinner, Christopher M.
2005
The Birch and Swinnerton-Dyer formula for elliptic curves of analytic rank one. Zbl 1401.11103
Jetchev, Dimitar; Skinner, Christopher; Wan, Xin
2017
Vanishing of $$L$$-functions and ranks of Selmer groups. Zbl 1157.11020
Skinner, Christopher; Urban, Eric
2006
On the modularity of $$\mathbb Q$$-curves. Zbl 1009.11038
Ellenberg, Jordan S.; Skinner, Chris
2001
Sums of two kth powers. Zbl 0820.11059
Skinner, C. M.; Wooley, T. D.
1995
Galois representations associated with unitary groups over $$\mathbb Q$$. Zbl 1294.11080
Skinner, Christopher
2012
On the $$p$$-adic deformations of Saito-Kurokawa lifts. Zbl 1024.11030
Skinner, Christopher; Urban, Eric
2002
The diophantine equation $$x^ 2=4q^ n-4q+1$$. Zbl 0687.10012
Skinner, Chris
1989
Multiplicative reduction and the cyclotomic main conjecture for $$\mathrm{GL}_2$$. Zbl 1368.11060
Skinner, Christopher
2016
On the paucity of non-diagonal solutions in certain diagonal diophantine systems. Zbl 0885.11026
Skinner, C. M.; Wooley, T. D.
1997
A converse to a theorem of Gross, Zagier, and Kolyvagin. Zbl 1447.11071
Skinner, Christopher
2020
A positive proportion of elliptic curves over $$\mathbb Q$$ have rank one. Zbl 1315.11045
Bhargava, Manjul; Skinner, Christopher
2014
Main conjectures and modular forms. Zbl 1179.11037
Skinner, Christopher
2006
Rational points on nonsingular cubic hypersurfaces. Zbl 0848.14009
Skinner, Christopher M.
1994
On the diophantine equation $$ap^ x+bq^ y=c+dp^ zq^ w$$. Zbl 0703.11017
Skinner, Christopher M.
1990
Congruence properties of values of $$L$$-functions and applications. Zbl 0963.11025
Bruinier, J. H.; James, K.; Kohnen, W.; Ono, K.; Skinner, C.; Vatsal, V.
1999
Estimation of a cluster-level regression model under nonresponse within clusters. Zbl 1392.62032
Lawson, Nuanpan; Skinner, Chris
2017
Statistical disclosure risk: separating potential and harm. Zbl 1416.62059
Skinner, Chris
2012
Local solvability of diagonal equations (again). Zbl 1165.11311
Skinner, Christopher
2006
Modularity of Galois representations. Zbl 1057.11032
Skinner, Chris
2003
Nonexistence of Siegel zeros in towers of radical extensions. Zbl 0797.11090
Odlyzko, Andrew M.; Skinner, Chris M.
1993
Non-symmetric 2-designs modulo 2. Zbl 0777.05017
Skinner, Chris M.
1993
A converse to a theorem of Gross, Zagier, and Kolyvagin. Zbl 1447.11071
Skinner, Christopher
2020
The Birch and Swinnerton-Dyer formula for elliptic curves of analytic rank one. Zbl 1401.11103
Jetchev, Dimitar; Skinner, Christopher; Wan, Xin
2017
Estimation of a cluster-level regression model under nonresponse within clusters. Zbl 1392.62032
Lawson, Nuanpan; Skinner, Chris
2017
Multiplicative reduction and the cyclotomic main conjecture for $$\mathrm{GL}_2$$. Zbl 1368.11060
Skinner, Christopher
2016
The Iwasawa Main Conjectures for $$\mathrm{GL}_{2}$$. Zbl 1301.11074
Skinner, Christopher; Urban, Eric
2014
A positive proportion of elliptic curves over $$\mathbb Q$$ have rank one. Zbl 1315.11045
Bhargava, Manjul; Skinner, Christopher
2014
Galois representations associated with unitary groups over $$\mathbb Q$$. Zbl 1294.11080
Skinner, Christopher
2012
Statistical disclosure risk: separating potential and harm. Zbl 1416.62059
Skinner, Chris
2012
A note on the $$p$$-adic Galois representations attached to Hilbert modular forms. Zbl 1177.11045
Skinner, Christopher
2009
$$p$$-adic $$L$$-functions for unitary Shimura varieties. I: Construction of the Eisenstein measure. Zbl 1143.11019
Harris, Michael; Li, Jian-Shu; Skinner, Christopher M.
2007
On the $$p$$-adic deformations of certain automorphic representations. Zbl 1169.11314
Skinner, Christopher; Urban, Eric
2006
Vanishing of $$L$$-functions and ranks of Selmer groups. Zbl 1157.11020
Skinner, Christopher; Urban, Eric
2006
Main conjectures and modular forms. Zbl 1179.11037
Skinner, Christopher
2006
Local solvability of diagonal equations (again). Zbl 1165.11311
Skinner, Christopher
2006
The Rallis inner product formula and $$p$$-adic $$L$$-functions. Zbl 1103.11017
Harris, Michael; Li, Jian-Shu; Skinner, Christopher M.
2005
Ternary Diophantine equations via Galois representations and modular forms. Zbl 1053.11025
Bennett, Michael A.; Skinner, Chris M.
2004
Modularity of Galois representations. Zbl 1057.11032
Skinner, Chris
2003
On the $$p$$-adic deformations of Saito-Kurokawa lifts. Zbl 1024.11030
Skinner, Christopher; Urban, Eric
2002
Nearly ordinary deformations of irreducible residual representations. Zbl 1024.11036
Skinner, C. M.; Wiles, Andrew J.
2001
Base change and a problem of Serre. Zbl 1016.11017
Skinner, C. M.; Wiles, A. J.
2001
On the modularity of $$\mathbb Q$$-curves. Zbl 1009.11038
Ellenberg, Jordan S.; Skinner, Chris
2001
Residually reducible representations and modular forms. Zbl 1005.11030
Skinner, C. M.; Wiles, A. J.
1999
Congruence properties of values of $$L$$-functions and applications. Zbl 0963.11025
Bruinier, J. H.; James, K.; Kohnen, W.; Ono, K.; Skinner, C.; Vatsal, V.
1999
Non-vanishing of quadratic twists of modular $$L$$-functions. Zbl 0937.11017
Ono, Ken; Skinner, Christopher
1998
Fourier coefficients of half-integral weight modular forms modulo $$\ell$$. Zbl 0907.11017
Ono, Ken; Skinner, Christopher
1998
Ordinary representations and modular forms. Zbl 0924.11044
Skinner, C. M.; Wiles, A. J.
1997
Forms over number fields and weak approximation. Zbl 0892.11014
Skinner, C. M.
1997
On the paucity of non-diagonal solutions in certain diagonal diophantine systems. Zbl 0885.11026
Skinner, C. M.; Wooley, T. D.
1997
A public-key cryptosystem and a digital signature system based on the Lucas function analogue to discrete logarithms. Zbl 0872.94041
Smith, Peter; Skinner, Christopher
1995
Sums of two kth powers. Zbl 0820.11059
Skinner, C. M.; Wooley, T. D.
1995
Rational points on nonsingular cubic hypersurfaces. Zbl 0848.14009
Skinner, Christopher M.
1994
Nonexistence of Siegel zeros in towers of radical extensions. Zbl 0797.11090
Odlyzko, Andrew M.; Skinner, Chris M.
1993
Non-symmetric 2-designs modulo 2. Zbl 0777.05017
Skinner, Chris M.
1993
On the diophantine equation $$ap^ x+bq^ y=c+dp^ zq^ w$$. Zbl 0703.11017
Skinner, Christopher M.
1990
The diophantine equation $$x^ 2=4q^ n-4q+1$$. Zbl 0687.10012
Skinner, Chris
1989
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#### Cited by 383 Authors

 9 Siksek, Samir 8 Bennett, Michael A. 8 Dieulefait, Luis Victor 8 Klosin, Krzysztof 7 Dąbrowski, Andrzej M. 6 Bellaïche, Joël 6 Berger, Tobias 6 Brown, Jim L. 6 Skinner, Christopher M. 6 Thorne, Jack A. 5 Browning, Timothy Daniel 5 Dummigan, Neil 5 Eischen, Ellen Elizabeth 5 Freitas, Nuno 5 Khare, Chandrashekhar 5 Lei, Antonio 5 Luca, Florian 5 Ono, Ken 5 Togbé, Alain 5 Virdol, Cristian 4 Bruinier, Jan Hendrik 4 Calegari, Frank 4 Chen, Imin 4 Chida, Masataka 4 Hsieh, Ming-Lun 4 Le, Maohua 4 Longo, Matteo 4 Newton, James 4 Wan, Xin 3 Agarwal, Mahesh 3 Bouganis, Thanasis 3 Brüdern, Jörg 3 Bugeaud, Yann 3 Büyükboduk, Kâzim 3 Choi, Dohoon 3 Darmon, Henri René 3 Guitart, Xavier 3 Hajdu, Lajos 3 Harris, Michael Howard 3 Heath-Brown, David Roger 3 Jiménez-Urroz, Jorge 3 Kim, Chan-Ho 3 Mazur, Barry 3 Mignotte, Maurice 3 Ochiai, Tadashi 3 Rotger, Victor 3 Sorensen, Claus Mazanti 3 Soydan, Gokhan 3 Szymaszkiewicz, Lucjan 3 Taylor, Richard Lawrence 3 Urban, Eric 3 Voight, John Michael 3 Wang-Erickson, Carl 3 Wiles, Andrew John 3 Wooley, Trevor D. 3 Zhang, Zhongfeng 3 Zhu, Huilin 2 Abu Muriefah, Fadwa S. 2 Ahlgren, Scott D. 2 Alfes-Neumann, Claudia 2 Allen, Patrick B. 2 Ashraf, Muhammad Zeeshan 2 Balog, Antal 2 Bars Cortina, Francesc 2 Bergström, Jonas 2 Bertolini, Massimo 2 Billerey, Nicolas 2 Byeon, Dongho 2 Castella, Francesc 2 Dahmen, Sander R. 2 Dembélé, Lassina 2 Deng, Moujie 2 Diamond, Fred 2 Fernandez, Julio 2 Frei, Christopher 2 Geraghty, David 2 Gorla, Elisa 2 Gou, Su 2 Greenberg, Matthew 2 Győry, Kálmán 2 Hida, Haruzo 2 Ho, Wei 2 Jarvis, Frazer 2 Jedrzejak, Tomasz 2 Johansson, Christian 2 Keaton, Rodney 2 Kisin, Mark 2 Lan, Kai-Wen 2 Le Hung, Bao V. 2 Li, Chao 2 Li, Jian-Shu 2 Li, Xiaoxue 2 Liu, Tong 2 Longhi, Ignazio 2 Loughran, Daniel 2 Manoharmayum, Jayanta 2 Masdeu, Marc 2 Massierer, Maike 2 Miyazaki, Takafumi 2 Noubissie, Armand ...and 283 more Authors
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#### Cited in 92 Serials

 34 Journal of Number Theory 19 Compositio Mathematica 18 International Journal of Number Theory 16 Inventiones Mathematicae 14 Duke Mathematical Journal 13 Proceedings of the American Mathematical Society 12 Transactions of the American Mathematical Society 11 Mathematische Annalen 11 Mathematische Zeitschrift 11 Journal de Théorie des Nombres de Bordeaux 9 Mathematics of Computation 7 Functiones et Approximatio. Commentarii Mathematici 7 Journal für die Reine und Angewandte Mathematik 7 Annals of Mathematics. Second Series 6 Bulletin of the Australian Mathematical Society 6 Research in Number Theory 5 Periodica Mathematica Hungarica 5 Journal of the American Mathematical Society 5 The Ramanujan Journal 5 Algebra & Number Theory 5 Annales Mathématiques du Québec 4 Mathematika 4 Designs, Codes and Cryptography 4 Indagationes Mathematicae. New Series 4 Journal of the Institute of Mathematics of Jussieu 4 Kyoto Journal of Mathematics 4 Forum of Mathematics, Sigma 4 Research in the Mathematical Sciences 3 Annales de l’Institut Fourier 3 Glasgow Mathematical Journal 3 Publications Mathématiques 3 Journal of Algebra 3 Manuscripta Mathematica 3 Revista Matemática Iberoamericana 3 Bulletin of the American Mathematical Society. New Series 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Selecta Mathematica. New Series 2 Israel Journal of Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Canadian Journal of Mathematics 2 Journal of Computational and Applied Mathematics 2 Journal of the Mathematical Society of Japan 2 Monatshefte für Mathematik 2 Nagoya Mathematical Journal 2 Finite Fields and their Applications 2 Documenta Mathematica 2 Journal of Inequalities and Applications 2 Journal of the European Mathematical Society (JEMS) 2 Journal of the Australian Mathematical Society 2 Japanese Journal of Mathematics. 3rd Series 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Acta Arithmetica 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Memoirs of the American Mathematical Society 1 Metron 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Journal of Cryptology 1 Forum Mathematicum 1 Geometric and Functional Analysis. GAFA 1 Elemente der Mathematik 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Experimental Mathematics 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Arab Journal of Mathematical Sciences 1 Acta Mathematica Sinica. English Series 1 Integers 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Milan Journal of Mathematics 1 Journal of Mathematical Cryptology 1 Journal of Statistical Theory and Practice 1 Science China. Mathematics 1 Communications in Mathematics 1 Forum of Mathematics, Pi 1 Communications in Mathematics and Statistics 1 Proceedings of the American Mathematical Society. Series B 1 Bulletin of the Hellenic Mathematical Society
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#### Cited in 18 Fields

 350 Number theory (11-XX) 66 Algebraic geometry (14-XX) 13 Information and communication theory, circuits (94-XX) 6 Topological groups, Lie groups (22-XX) 5 Commutative algebra (13-XX) 4 Field theory and polynomials (12-XX) 4 Group theory and generalizations (20-XX) 3 Combinatorics (05-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 General algebraic systems (08-XX) 1 Associative rings and algebras (16-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX)

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