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## Gee, Toby

Compute Distance To:
 Author ID: gee.toby Published as: Gee, Toby Homepage: http://wwwf.imperial.ac.uk/~tsg/ External Links: MGP · Wikidata
 Documents Indexed: 41 Publications since 2006 Biographic References: 1 Publication
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#### Co-Authors

 6 single-authored 12 Geraghty, David 8 Barnet-Lamb, Thomas 8 Emerton, Matthew 8 Savitt, David 4 Buzzard, Kevin 4 Liu, Tong 3 Calegari, Frank 3 Herzig, Florian 3 Taylor, Richard Lawrence 2 Caraiani, Ana 2 Paskunas, Vytautas 2 Shin, Sug Woo 1 Bellovin, Rebecca 1 Kassaei, Payman L. 1 Kisin, Mark 1 Mavrides, Lambros 1 Taïbi, Olivier
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#### Serials

 4 Compositio Mathematica 4 Duke Mathematical Journal 3 Annales de l’Institut Fourier 3 Algebra & Number Theory 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Journal of the American Mathematical Society 2 Mathematical Research Letters 2 Documenta Mathematica 2 Forum of Mathematics, Pi 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Manuscripta Mathematica 1 IMRN. International Mathematics Research Notices 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu 1 Cambridge Journal of Mathematics 1 Algebraic Geometry 1 Journal de l’École Polytechnique – Mathématiques

#### Fields

 41 Number theory (11-XX) 6 Topological groups, Lie groups (22-XX) 5 Algebraic geometry (14-XX)

#### Citations contained in zbMATH

39 Publications have been cited 568 times in 247 Documents Cited by Year
Potential automorphy and change of weight. Zbl 1310.11060
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
2014
Automorphic lifts of prescribed types. Zbl 1276.11085
Gee, Toby
2011
The Breuil-Mézard conjecture for potentially Barsotti-Tate representations. Zbl 1408.11033
Gee, Toby; Kisin, Mark
2014
A geometric perspective on the Breuil-Mézard conjecture. Zbl 1318.11061
Emerton, Matthew; Gee, Toby
2014
The conjectural connections between automorphic representations and Galois representations. Zbl 1377.11067
Buzzard, Kevin; Gee, Toby
2014
The Sato-Tate conjecture for Hilbert modular forms. Zbl 1269.11045
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David
2011
Patching and the $$p$$-adic local Langlands correspondence. Zbl 1403.11073
Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo
2016
A modularity lifting theorem for weight two Hilbert modular forms. Zbl 1185.11030
Gee, Toby
2006
Companion forms for unitary and symplectic groups. Zbl 1295.11043
Gee, Toby; Geraghty, David
2012
On the weights of mod $$p$$ Hilbert modular forms. Zbl 1280.11029
Gee, Toby
2011
The Buzzard-Diamond-Jarvis conjecture for unitary groups. Zbl 1288.11045
Gee, Toby; Liu, Tong; Savitt, David
2014
Weight cycling and Serre-type conjectures for unitary groups. Zbl 1283.11083
Emerton, Matthew; Gee, Toby; Herzig, Florian
2013
Explicit reduction modulo $$p$$ of certain two-dimensional crystalline representations. Zbl 1189.11054
Buzzard, Kevin; Gee, Toby
2009
Lattices in the cohomology of Shimura curves. Zbl 1396.11089
Emerton, Matthew; Gee, Toby; Savitt, David
2015
The weight part of Serre’s conjecture for $$\mathrm{GL}(2)$$. Zbl 1317.11045
Gee, Toby; Liu, Tong; Savitt, David
2015
Congruences between Hilbert modular forms: constructing ordinary lifts. Zbl 1297.11028
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David
2012
Serre weights for mod $$p$$ Hilbert modular forms: the totally ramified case. Zbl 1269.11050
Gee, Toby; Savitt, David
2011
Serre weights for rank two unitary groups. Zbl 1339.11064
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David
2013
Local-global compatibility for $$l=p$$. II. Zbl 1395.11081
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
2014
Congruences between Hilbert modular forms: constructing ordinary lifts. II. Zbl 1298.11038
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David
2013
Companion forms over totally real fields. II. Zbl 1121.11039
Gee, Toby
2007
General Serre weight conjectures. Zbl 06991335
Gee, Toby; Herzig, Florian; Savitt, David
2018
Irreducibility of automorphic Galois representations of $$\mathrm{GL}(n)$$, $$n$$ at most $$5$$. Zbl 1286.11084
Calegari, Frank; Gee, Toby
2013
$$p$$-adic Hodge-theoretic properties of étale cohomology with $$\mod{p}$$ coefficients, and the cohomology of Shimura varieties. Zbl 1321.11050
Emerton, Matthew; Gee, Toby
2015
Explicit reduction modulo $$p$$ of certain 2-dimensional crystalline representations. II. Zbl 1305.11046
Buzzard, Kevin; Gee, Toby
2013
Serre weights for quaternion algebras. Zbl 1282.11042
Gee, Toby; Savitt, David
2011
Local-global compatibility for $$l=p$$. I. Zbl 1259.11057
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
2012
Serre weights for $$\mathrm{U}(n)$$. Zbl 06836107
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David
2018
Crystalline extensions and the weight part of Serre’s conjecture. Zbl 1282.11057
Gee, Toby; Liu, Tong; Savitt, David
2012
The Sato-Tate conjecture for modular forms of weight 3. Zbl 1246.11100
Gee, Toby
2009
Companion forms over totally real fields. Zbl 1143.11016
Gee, Toby
2008
Arthur’s multiplicity formula for $$\mathrm{GSp}_4$$ and restriction to $$\mathrm{Sp}_4$$. Zbl 07088011
Gee, Toby; Taïbi, Olivier
2019
The Breuil-Mézard conjecture for quaternion algebras. Zbl 1395.11085
Gee, Toby; Geraghty, David
2015
Potentially crystalline lifts of certain prescribed types. Zbl 1401.14110
Gee, Toby; Herzig, Florian; Liu, Tong; Savitt, David
2017
Patching and the $$p$$-adic Langlands program for $$\mathrm{GL}_{2}(\mathbb{Q}_{p})$$. Zbl 06823118
Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo
2017
$$G$$-valued local deformation rings and global lifts. Zbl 07042062
Bellovin, Rebecca; Gee, Toby
2019
Explicit Serre weights for two-dimensional Galois representations. Zbl 1417.11096
Calegari, Frank; Emerton, Matthew; Gee, Toby; Mavrides, Lambros
2017
Slopes of modular forms. Zbl 1408.11032
Buzzard, Kevin; Gee, Toby
2016
Companion forms in parallel weight one. Zbl 1329.11039
Gee, Toby; Kassaei, Payman
2013
Arthur’s multiplicity formula for $$\mathrm{GSp}_4$$ and restriction to $$\mathrm{Sp}_4$$. Zbl 07088011
Gee, Toby; Taïbi, Olivier
2019
$$G$$-valued local deformation rings and global lifts. Zbl 07042062
Bellovin, Rebecca; Gee, Toby
2019
General Serre weight conjectures. Zbl 06991335
Gee, Toby; Herzig, Florian; Savitt, David
2018
Serre weights for $$\mathrm{U}(n)$$. Zbl 06836107
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David
2018
Potentially crystalline lifts of certain prescribed types. Zbl 1401.14110
Gee, Toby; Herzig, Florian; Liu, Tong; Savitt, David
2017
Patching and the $$p$$-adic Langlands program for $$\mathrm{GL}_{2}(\mathbb{Q}_{p})$$. Zbl 06823118
Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo
2017
Explicit Serre weights for two-dimensional Galois representations. Zbl 1417.11096
Calegari, Frank; Emerton, Matthew; Gee, Toby; Mavrides, Lambros
2017
Patching and the $$p$$-adic local Langlands correspondence. Zbl 1403.11073
Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo
2016
Slopes of modular forms. Zbl 1408.11032
Buzzard, Kevin; Gee, Toby
2016
Lattices in the cohomology of Shimura curves. Zbl 1396.11089
Emerton, Matthew; Gee, Toby; Savitt, David
2015
The weight part of Serre’s conjecture for $$\mathrm{GL}(2)$$. Zbl 1317.11045
Gee, Toby; Liu, Tong; Savitt, David
2015
$$p$$-adic Hodge-theoretic properties of étale cohomology with $$\mod{p}$$ coefficients, and the cohomology of Shimura varieties. Zbl 1321.11050
Emerton, Matthew; Gee, Toby
2015
The Breuil-Mézard conjecture for quaternion algebras. Zbl 1395.11085
Gee, Toby; Geraghty, David
2015
Potential automorphy and change of weight. Zbl 1310.11060
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
2014
The Breuil-Mézard conjecture for potentially Barsotti-Tate representations. Zbl 1408.11033
Gee, Toby; Kisin, Mark
2014
A geometric perspective on the Breuil-Mézard conjecture. Zbl 1318.11061
Emerton, Matthew; Gee, Toby
2014
The conjectural connections between automorphic representations and Galois representations. Zbl 1377.11067
Buzzard, Kevin; Gee, Toby
2014
The Buzzard-Diamond-Jarvis conjecture for unitary groups. Zbl 1288.11045
Gee, Toby; Liu, Tong; Savitt, David
2014
Local-global compatibility for $$l=p$$. II. Zbl 1395.11081
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
2014
Weight cycling and Serre-type conjectures for unitary groups. Zbl 1283.11083
Emerton, Matthew; Gee, Toby; Herzig, Florian
2013
Serre weights for rank two unitary groups. Zbl 1339.11064
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David
2013
Congruences between Hilbert modular forms: constructing ordinary lifts. II. Zbl 1298.11038
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David
2013
Irreducibility of automorphic Galois representations of $$\mathrm{GL}(n)$$, $$n$$ at most $$5$$. Zbl 1286.11084
Calegari, Frank; Gee, Toby
2013
Explicit reduction modulo $$p$$ of certain 2-dimensional crystalline representations. II. Zbl 1305.11046
Buzzard, Kevin; Gee, Toby
2013
Companion forms in parallel weight one. Zbl 1329.11039
Gee, Toby; Kassaei, Payman
2013
Companion forms for unitary and symplectic groups. Zbl 1295.11043
Gee, Toby; Geraghty, David
2012
Congruences between Hilbert modular forms: constructing ordinary lifts. Zbl 1297.11028
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David
2012
Local-global compatibility for $$l=p$$. I. Zbl 1259.11057
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
2012
Crystalline extensions and the weight part of Serre’s conjecture. Zbl 1282.11057
Gee, Toby; Liu, Tong; Savitt, David
2012
Automorphic lifts of prescribed types. Zbl 1276.11085
Gee, Toby
2011
The Sato-Tate conjecture for Hilbert modular forms. Zbl 1269.11045
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David
2011
On the weights of mod $$p$$ Hilbert modular forms. Zbl 1280.11029
Gee, Toby
2011
Serre weights for mod $$p$$ Hilbert modular forms: the totally ramified case. Zbl 1269.11050
Gee, Toby; Savitt, David
2011
Serre weights for quaternion algebras. Zbl 1282.11042
Gee, Toby; Savitt, David
2011
Explicit reduction modulo $$p$$ of certain two-dimensional crystalline representations. Zbl 1189.11054
Buzzard, Kevin; Gee, Toby
2009
The Sato-Tate conjecture for modular forms of weight 3. Zbl 1246.11100
Gee, Toby
2009
Companion forms over totally real fields. Zbl 1143.11016
Gee, Toby
2008
Companion forms over totally real fields. II. Zbl 1121.11039
Gee, Toby
2007
A modularity lifting theorem for weight two Hilbert modular forms. Zbl 1185.11030
Gee, Toby
2006
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#### Cited by 191 Authors

 25 Gee, Toby 10 Geraghty, David 9 Thorne, Jack A. 7 Calegari, Frank 7 Emerton, Matthew 7 Herzig, Florian 7 Liu, Tong 7 Savitt, David 7 Shin, Sug Woo 6 Breuil, Christophe 6 Gao, Hui 6 Le, Daniel 6 Levin, Brandon 6 Morra, Stefano 6 Paskunas, Vytautas 6 Patrikis, Stefan T. 5 Barnet-Lamb, Thomas 5 Dieulefait, Luis Victor 5 Hellmann, Eugen 5 Le Hung, Bao V. 5 Scholze, Peter 5 Virdol, Cristian 4 Kisin, Mark 4 Kozioł, Karol 4 Rozensztajn, Sandra 4 Schein, Michael M. 4 Schraen, Benjamin 4 Sorensen, Claus Mazanti 3 Caraiani, Ana 3 Caruso, Xavier 3 Cheng, Chuangxun 3 Clozel, Laurent 3 David, Agnès 3 Dembélé, Lassina 3 Diamond, Fred 3 Hu, Yongquan 3 Kassaei, Payman L. 3 Newton, James 3 Park, Chol 3 Sasaki, Shu 3 Shotton, Jack 3 Taylor, Richard Lawrence 3 Templier, Nicolas 3 Venkatesh, Akshay 3 Wiese, Gabor 2 Bartlett, Robin 2 Bergdall, John 2 Berger, Tobias 2 Bergström, Jonas 2 Bhattacharya, Shalini 2 Buzzard, Kevin 2 Choi, Dohoon 2 Colmez, Pierre 2 Ding, Yiwen 2 Dummigan, Neil 2 Freitas, Nuno 2 Ganguli, Abhik 2 Ghate, Eknath P. 2 Goldring, Wushi 2 Guerberoff, Lucio 2 Harris, Michael Howard 2 Hida, Haruzo 2 Jarvis, Frazer 2 Johansson, Christian 2 Jorza, Andrei 2 Kim, Henry H. 2 Kim, Wansu 2 Koskivirta, Jean-Stefan 2 Kumar, Narasimha 2 Li, Wen-Ch’ing Winnie 2 Long, Ling 2 Mézard, Ariane 2 Nadimpalli, Santosh 2 Ozeki, Yoshiyasu 2 Pilloni, Vincent 2 Pollack, Robert 2 Siksek, Samir 2 Suh, Junecue 2 Sutherland, Andrew V. 2 Ţurcaş, George Cătălin 2 Wakatsuki, Satoshi 2 Yamauchi, Takuya 2 Zenteno, Adrián 1 Allen, Patrick B. 1 Anni, Samuele 1 Arias-de-Reyna, Sara 1 Ash, Avner 1 Atkin, Arthur Oliver Lonsdale 1 Balasubramanyam, Baskar 1 Bellovin, Rebecca 1 Boxer, George 1 Boyer, Pascal 1 Brochard, Sylvain 1 Charles, François 1 Chenevier, Gaëtan 1 Chiriac, Liubomir 1 Chiriac, Liubomir L. 1 Choi, Suh Hyun 1 Chojecki, Przemyslaw 1 Dettweiler, Michael ...and 91 more Authors
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#### Cited in 53 Serials

 26 Journal of Number Theory 18 Mathematische Annalen 16 Compositio Mathematica 15 Duke Mathematical Journal 13 Inventiones Mathematicae 10 Transactions of the American Mathematical Society 10 Forum of Mathematics, Sigma 9 Journal of the American Mathematical Society 8 Mathematische Zeitschrift 8 Annals of Mathematics. Second Series 7 Annales de l’Institut Fourier 7 Journal of the Institute of Mathematics of Jussieu 6 Manuscripta Mathematica 5 Israel Journal of Mathematics 5 Journal of Algebra 5 Journal für die Reine und Angewandte Mathematik 5 Documenta Mathematica 4 Proceedings of the American Mathematical Society 4 International Journal of Number Theory 4 Algebra & Number Theory 4 Forum of Mathematics, Pi 3 Memoirs of the American Mathematical Society 3 Pacific Journal of Mathematics 3 Bulletin of the American Mathematical Society. New Series 3 Journal de Théorie des Nombres de Bordeaux 3 Journal de l’École Polytechnique – Mathématiques 2 Advances in Mathematics 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of the London Mathematical Society. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Japanese Journal of Mathematics. 3rd Series 2 Annales Mathématiques du Québec 2 Research in Number Theory 1 Communications in Algebra 1 Acta Arithmetica 1 Acta Mathematica Vietnamica 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Functiones et Approximatio. Commentarii Mathematici 1 Publications Mathématiques 1 Nagoya Mathematical Journal 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Revista Matemática Iberoamericana 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Experimental Mathematics 1 Selecta Mathematica. New Series 1 Representation Theory 1 The Ramanujan Journal 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Acta Mathematica Sinica. English Series 1 Research in the Mathematical Sciences
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#### Cited in 17 Fields

 233 Number theory (11-XX) 54 Algebraic geometry (14-XX) 42 Topological groups, Lie groups (22-XX) 18 Group theory and generalizations (20-XX) 5 Commutative algebra (13-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Nonassociative rings and algebras (17-XX) 2 $$K$$-theory (19-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Mathematical logic and foundations (03-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX)

#### Wikidata Timeline

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