Edit Profile (opens in new tab) Gee, Toby Co-Author Distance Author ID: gee.toby Published as: Gee, Toby Further Spellings: Gee, Toby Stephen Homepage: http://wwwf.imperial.ac.uk/~tsg/ External Links: MGP · Wikidata · Google Scholar · GND · IdRef · theses.fr Documents Indexed: 59 Publications since 2006, including 1 Book and 12 Additional arXiv Preprints Biographic References: 1 Publication Co-Authors: 28 Co-Authors with 52 Joint Publications 263 Co-Co-Authors all top 5 Co-Authors 7 single-authored 18 Emerton, Matthew 13 Geraghty, David 12 Savitt, David 9 Barnet-Lamb, Thomas 8 Calegari, Frank 7 Caraiani, Ana 4 Buzzard, Kevin 4 Liu, Tong 4 Taylor, Richard 3 Boxer, George 3 Herzig, Florian 3 Newton, James 2 Paškūnas, Vytautas 2 Shin, Sug Woo 2 Thorne, Jack 1 Allen, Patrick B. 1 Bellovin, Rebecca 1 Dieulefait, Luis Victor 1 Dotto, Andrea 1 Hellmann, Eugen 1 Helm, David 1 Kassaei, Payman L. 1 Kisin, Mark 1 Le Hung, Bao Viet 1 Mavrides, Lambros 1 Pilloni, Vincent 1 Scholze, Peter 1 Taïbi, Olivier all top 5 Serials 4 Compositio Mathematica 4 Duke Mathematical Journal 3 Annales de l’Institut Fourier 3 Journal of the Institute of Mathematics of Jussieu 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 Annals of Mathematics. Second Series 2 Forum of Mathematics, Pi 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Bulletin of the London Mathematical Society 1 Publications Mathématiques 1 Manuscripta Mathematica 1 IMRN. International Mathematics Research Notices 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of the European Mathematical Society (JEMS) 1 Annals of Mathematics Studies 1 Cambridge Journal of Mathematics 1 Algebraic Geometry 1 Journal de l’École Polytechnique – Mathématiques 1 Essential Number Theory Fields 47 Number theory (11-XX) 8 Algebraic geometry (14-XX) 7 Topological groups, Lie groups (22-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 948 times in 406 Documents Cited by ▼ Year ▼ Potential automorphy and change of weight. Zbl 1310.11060 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard 128 2014 Patching and the \(p\)-adic local Langlands correspondence. Zbl 1403.11073 Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo 54 2016 The conjectural connections between automorphic representations and Galois representations. Zbl 1377.11067 Buzzard, Kevin; Gee, Toby 52 2014 Automorphic lifts of prescribed types. Zbl 1276.11085 Gee, Toby 49 2011 The Breuil-Mézard conjecture for potentially Barsotti-Tate representations. Zbl 1408.11033 Gee, Toby; Kisin, Mark 49 2014 A geometric perspective on the Breuil-Mézard conjecture. Zbl 1318.11061 Emerton, Matthew; Gee, Toby 47 2014 The Sato-Tate conjecture for Hilbert modular forms. Zbl 1269.11045 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David 40 2011 The Buzzard-Diamond-Jarvis conjecture for unitary groups. Zbl 1288.11045 Gee, Toby; Liu, Tong; Savitt, David 28 2014 A modularity lifting theorem for weight two Hilbert modular forms. Zbl 1185.11030 Gee, Toby 27 2006 Explicit reduction modulo \(p\) of certain two-dimensional crystalline representations. Zbl 1189.11054 Buzzard, Kevin; Gee, Toby 26 2009 On the weights of mod \(p\) Hilbert modular forms. Zbl 1280.11029 Gee, Toby 25 2011 Companion forms for unitary and symplectic groups. Zbl 1295.11043 Gee, Toby; Geraghty, David 25 2012 General Serre weight conjectures. Zbl 1456.11093 Gee, Toby; Herzig, Florian; Savitt, David 25 2018 Lattices in the cohomology of Shimura curves. Zbl 1396.11089 Emerton, Matthew; Gee, Toby; Savitt, David 23 2015 The weight part of Serre’s conjecture for \(\mathrm{GL}(2)\). Zbl 1317.11045 Gee, Toby; Liu, Tong; Savitt, David 22 2015 Weight cycling and Serre-type conjectures for unitary groups. Zbl 1283.11083 Emerton, Matthew; Gee, Toby; Herzig, Florian 22 2013 Abelian surfaces over totally real fields are potentially modular. Zbl 1522.11045 Boxer, George; Calegari, Frank; Gee, Toby; Pilloni, Vincent 21 2021 Local-global compatibility for \(l=p\). II. (Compatibilité entre les correspondances de Langlands locales aux places divisant \(l=p\). II.) Zbl 1395.11081 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard 20 2014 Arthur’s multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\). (La Formule de multiplicité d’Arthur pour \(\mathrm{GSp}_4\) et restriction à \(\mathrm{Sp}_4\).) Zbl 1468.11115 Gee, Toby; Taïbi, Olivier 20 2019 Congruences between Hilbert modular forms: constructing ordinary lifts. Zbl 1297.11028 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David 18 2012 Serre weights for rank two unitary groups. Zbl 1339.11064 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David 18 2013 Irreducibility of automorphic Galois representations of \(\mathrm{GL}(n)\), \(n\) at most \(5\). (Irréductibilité des représentations galoisiennes associées à certaines représentations automorphes de \(\mathrm{GL}(n)\) pour \(n\) inférieur ou égal à 5.) Zbl 1286.11084 Calegari, Frank; Gee, Toby 18 2013 Explicit reduction modulo \(p\) of certain 2-dimensional crystalline representations. II. Zbl 1305.11046 Buzzard, Kevin; Gee, Toby 16 2013 Congruences between Hilbert modular forms: constructing ordinary lifts. II. Zbl 1298.11038 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David 15 2013 Serre weights for mod \(p\) Hilbert modular forms: the totally ramified case. Zbl 1269.11050 Gee, Toby; Savitt, David 14 2011 \(G\)-valued local deformation rings and global lifts. Zbl 1455.11077 Bellovin, Rebecca; Gee, Toby 13 2019 Companion forms over totally real fields. II. Zbl 1121.11039 Gee, Toby 12 2007 Patching and the completed homology of locally symmetric spaces. Zbl 1517.11055 Gee, Toby; Newton, James 12 2022 Potential automorphy over CM fields. Zbl 1521.11034 Allen, Patrick B.; Calegari, Frank; Caraiani, Ana; Gee, Toby; Helm, David; Le Hung, Bao; Newton, James; Scholze, Peter; Taylor, Richard; Thorne, Jack A. 12 2023 \(p\)-adic Hodge-theoretic properties of étale cohomology with \(\mod{p}\) coefficients, and the cohomology of Shimura varieties. Zbl 1321.11050 Emerton, Matthew; Gee, Toby 11 2015 Serre weights for quaternion algebras. Zbl 1282.11042 Gee, Toby; Savitt, David 10 2011 Patching and the \(p\)-adic Langlands program for \(\mathrm{GL}_{2}(\mathbb{Q}_{p})\). Zbl 1461.11157 Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo 10 2017 Local-global compatibility for \(l=p\). I. Zbl 1259.11057 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard 9 2012 Serre weights for \(\mathrm{U}(n)\). Zbl 1458.11086 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David 9 2018 Potentially crystalline lifts of certain prescribed types. Zbl 1401.14110 Gee, Toby; Herzig, Florian; Liu, Tong; Savitt, David 7 2017 Crystalline extensions and the weight part of Serre’s conjecture. Zbl 1282.11057 Gee, Toby; Liu, Tong; Savitt, David 7 2012 Companion forms over totally real fields. Zbl 1143.11016 Gee, Toby 6 2008 Slopes of modular forms. Zbl 1408.11032 Buzzard, Kevin; Gee, Toby 6 2016 The Sato-Tate conjecture for modular forms of weight 3. Zbl 1246.11100 Gee, Toby 5 2009 Moduli stacks of étale \((\Phi, \Gamma)\)-modules and the existence of crystalline lifts. Zbl 07541727 Emerton, Matthew; Gee, Toby 5 2023 The Breuil-Mézard conjecture for quaternion algebras. (La conjecture de Breuil-Mézard pour les algèbres de quaternions.) Zbl 1395.11085 Gee, Toby; Geraghty, David 4 2015 Explicit Serre weights for two-dimensional Galois representations. Zbl 1417.11096 Calegari, Frank; Emerton, Matthew; Gee, Toby; Mavrides, Lambros 3 2017 “Scheme-theoretic images” of morphisms of stacks. Zbl 1521.14028 Emerton, Matthew; Gee, Toby 3 2021 Companion forms in parallel weight one. Zbl 1329.11039 Gee, Toby; Kassaei, Payman 2 2013 Potential automorphy over CM fields. Zbl 1521.11034 Allen, Patrick B.; Calegari, Frank; Caraiani, Ana; Gee, Toby; Helm, David; Le Hung, Bao; Newton, James; Scholze, Peter; Taylor, Richard; Thorne, Jack A. 12 2023 Moduli stacks of étale \((\Phi, \Gamma)\)-modules and the existence of crystalline lifts. Zbl 07541727 Emerton, Matthew; Gee, Toby 5 2023 Patching and the completed homology of locally symmetric spaces. Zbl 1517.11055 Gee, Toby; Newton, James 12 2022 Abelian surfaces over totally real fields are potentially modular. Zbl 1522.11045 Boxer, George; Calegari, Frank; Gee, Toby; Pilloni, Vincent 21 2021 “Scheme-theoretic images” of morphisms of stacks. Zbl 1521.14028 Emerton, Matthew; Gee, Toby 3 2021 Arthur’s multiplicity formula for \(\mathrm{GSp}_4\) and restriction to \(\mathrm{Sp}_4\). (La Formule de multiplicité d’Arthur pour \(\mathrm{GSp}_4\) et restriction à \(\mathrm{Sp}_4\).) Zbl 1468.11115 Gee, Toby; Taïbi, Olivier 20 2019 \(G\)-valued local deformation rings and global lifts. Zbl 1455.11077 Bellovin, Rebecca; Gee, Toby 13 2019 General Serre weight conjectures. Zbl 1456.11093 Gee, Toby; Herzig, Florian; Savitt, David 25 2018 Serre weights for \(\mathrm{U}(n)\). Zbl 1458.11086 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David 9 2018 Patching and the \(p\)-adic Langlands program for \(\mathrm{GL}_{2}(\mathbb{Q}_{p})\). Zbl 1461.11157 Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo 10 2017 Potentially crystalline lifts of certain prescribed types. Zbl 1401.14110 Gee, Toby; Herzig, Florian; Liu, Tong; Savitt, David 7 2017 Explicit Serre weights for two-dimensional Galois representations. Zbl 1417.11096 Calegari, Frank; Emerton, Matthew; Gee, Toby; Mavrides, Lambros 3 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 54 2016 Slopes of modular forms. Zbl 1408.11032 Buzzard, Kevin; Gee, Toby 6 2016 Lattices in the cohomology of Shimura curves. Zbl 1396.11089 Emerton, Matthew; Gee, Toby; Savitt, David 23 2015 The weight part of Serre’s conjecture for \(\mathrm{GL}(2)\). Zbl 1317.11045 Gee, Toby; Liu, Tong; Savitt, David 22 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 11 2015 The Breuil-Mézard conjecture for quaternion algebras. (La conjecture de Breuil-Mézard pour les algèbres de quaternions.) Zbl 1395.11085 Gee, Toby; Geraghty, David 4 2015 Potential automorphy and change of weight. Zbl 1310.11060 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard 128 2014 The conjectural connections between automorphic representations and Galois representations. Zbl 1377.11067 Buzzard, Kevin; Gee, Toby 52 2014 The Breuil-Mézard conjecture for potentially Barsotti-Tate representations. Zbl 1408.11033 Gee, Toby; Kisin, Mark 49 2014 A geometric perspective on the Breuil-Mézard conjecture. Zbl 1318.11061 Emerton, Matthew; Gee, Toby 47 2014 The Buzzard-Diamond-Jarvis conjecture for unitary groups. Zbl 1288.11045 Gee, Toby; Liu, Tong; Savitt, David 28 2014 Local-global compatibility for \(l=p\). II. (Compatibilité entre les correspondances de Langlands locales aux places divisant \(l=p\). II.) Zbl 1395.11081 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard 20 2014 Weight cycling and Serre-type conjectures for unitary groups. Zbl 1283.11083 Emerton, Matthew; Gee, Toby; Herzig, Florian 22 2013 Serre weights for rank two unitary groups. Zbl 1339.11064 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David 18 2013 Irreducibility of automorphic Galois representations of \(\mathrm{GL}(n)\), \(n\) at most \(5\). (Irréductibilité des représentations galoisiennes associées à certaines représentations automorphes de \(\mathrm{GL}(n)\) pour \(n\) inférieur ou égal à 5.) Zbl 1286.11084 Calegari, Frank; Gee, Toby 18 2013 Explicit reduction modulo \(p\) of certain 2-dimensional crystalline representations. II. Zbl 1305.11046 Buzzard, Kevin; Gee, Toby 16 2013 Congruences between Hilbert modular forms: constructing ordinary lifts. II. Zbl 1298.11038 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David 15 2013 Companion forms in parallel weight one. Zbl 1329.11039 Gee, Toby; Kassaei, Payman 2 2013 Companion forms for unitary and symplectic groups. Zbl 1295.11043 Gee, Toby; Geraghty, David 25 2012 Congruences between Hilbert modular forms: constructing ordinary lifts. Zbl 1297.11028 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David 18 2012 Local-global compatibility for \(l=p\). I. Zbl 1259.11057 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard 9 2012 Crystalline extensions and the weight part of Serre’s conjecture. Zbl 1282.11057 Gee, Toby; Liu, Tong; Savitt, David 7 2012 Automorphic lifts of prescribed types. Zbl 1276.11085 Gee, Toby 49 2011 The Sato-Tate conjecture for Hilbert modular forms. Zbl 1269.11045 Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David 40 2011 On the weights of mod \(p\) Hilbert modular forms. Zbl 1280.11029 Gee, Toby 25 2011 Serre weights for mod \(p\) Hilbert modular forms: the totally ramified case. Zbl 1269.11050 Gee, Toby; Savitt, David 14 2011 Serre weights for quaternion algebras. Zbl 1282.11042 Gee, Toby; Savitt, David 10 2011 Explicit reduction modulo \(p\) of certain two-dimensional crystalline representations. Zbl 1189.11054 Buzzard, Kevin; Gee, Toby 26 2009 The Sato-Tate conjecture for modular forms of weight 3. Zbl 1246.11100 Gee, Toby 5 2009 Companion forms over totally real fields. Zbl 1143.11016 Gee, Toby 6 2008 Companion forms over totally real fields. II. Zbl 1121.11039 Gee, Toby 12 2007 A modularity lifting theorem for weight two Hilbert modular forms. Zbl 1185.11030 Gee, Toby 27 2006 all cited Publications top 5 cited Publications all top 5 Cited by 318 Authors 32 Gee, Toby 18 Thorne, Jack 13 Calegari, Frank 10 Geraghty, David 10 Le, Daniel 10 Morra, Stefano 10 Paškūnas, Vytautas 10 Patrikis, Stefan T. 10 Shin, Sug Woo 9 Breuil, Christophe 9 Herzig, Florian 9 Levin, Brandon 9 Newton, James 8 Emerton, Matthew 8 Hellmann, Eugen 8 Khare, Chandrashekhar 8 Schraen, Benjamin 7 Dieulefait, Luis Victor 7 Le Hung, Bao Viet 7 Liu, Tong 7 Savitt, David 6 Caraiani, Ana 6 David, Agnès 6 Gao, Hui 6 Kozioł, Karol 6 Scholze, Peter 5 Barnet-Lamb, Thomas 5 Bartlett, Robin 5 Berger, Tobias 5 Caruso, Xavier 5 Fakhruddin, Najmuddin 5 Fité, Francesc 5 Ghate, Eknath P. 5 Loeffler, David 5 Mézard, Ariane 5 Park, Chol 5 Pilloni, Vincent 5 Rozensztajn, Sandra 5 Schein, Michael M. 5 Taylor, Richard 5 Virdol, Cristian 4 Bergdall, John 4 Colmez, Pierre 4 Dembélé, Lassina 4 Diamond, Fred 4 Dospinescu, Gabriel 4 Hu, Yongquan 4 Johansson, Christian 4 Kisin, Mark 4 Sasaki, Shu 4 Shotton, Jack 4 Sorensen, Claus Mazanti 4 Yamauchi, Takuya 3 Chen, Shih-Yu 3 Cheng, Chuangxun 3 Chidambaram, Shiva 3 Clozel, Laurent 3 Ding, Yiwen 3 Gehrmann, Lennart 3 Harris, Michael Howard 3 Hui, Chun Yin 3 Kassaei, Payman L. 3 Kumar, Narasimha 3 Nadimpalli, Santosh 3 Nizioł, Wiesława 3 Richarz, Timo 3 Scholbach, Jakob 3 Siksek, Samir 3 Sutherland, Andrew V. 3 Tang, Shiang 3 Templier, Nicolas 3 Tung, Shen-Ning 3 Venkatesh, Akshay 3 Wiese, Gabor 2 Allen, Patrick B. 2 Arsovski, Bodan 2 Banerjee, Debargha 2 Bellovin, Rebecca 2 Bergström, Jonas 2 Bhattacharya, Shalini 2 Böckle, Gebhard 2 Boxer, George 2 Boyer, Pascal 2 Buzzard, Kevin 2 Chiriac, Liubomir 2 Choi, Dohoon 2 Dummigan, Neil 2 Freitas, Nuno 2 Ganguli, Abhik 2 Goldring, Wushi 2 Guerberoff, Lucio 2 Hansen, David 2 Hartl, Urs T. 2 Helm, David 2 Hida, Haruzo 2 Jarvis, Frazer 2 Jorza, Andrei 2 Kedlaya, Kiran Sridhara 2 Kim, Henry H. 2 Kim, Wansu ...and 218 more Authors all top 5 Cited in 71 Serials 33 Journal of Number Theory 23 Compositio Mathematica 19 Duke Mathematical Journal 19 Inventiones Mathematicae 19 Mathematische Annalen 16 Mathematische Zeitschrift 15 Journal of the Institute of Mathematics of Jussieu 15 Forum of Mathematics, Sigma 14 Transactions of the American Mathematical Society 12 Algebra & Number Theory 10 Journal of the American Mathematical Society 9 Annales de l’Institut Fourier 9 Manuscripta Mathematica 9 Documenta Mathematica 9 Annals of Mathematics. Second Series 9 Forum of Mathematics, Pi 8 Journal für die Reine und Angewandte Mathematik 7 Israel Journal of Mathematics 7 Journal of Algebra 7 Journal of the London Mathematical Society. Second Series 7 Journal de Théorie des Nombres de Bordeaux 7 International Journal of Number Theory 7 Research in Number Theory 6 Pacific Journal of Mathematics 5 Proceedings of the American Mathematical Society 5 Journal of the European Mathematical Society (JEMS) 5 Journal de l’École Polytechnique – Mathématiques 4 Publications Mathématiques 4 Memoirs of the American Mathematical Society 4 Forum Mathematicum 4 Selecta Mathematica. New Series 4 Research in the Mathematical Sciences 3 Advances in Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Bulletin of the American Mathematical Society. New Series 3 Representation Theory 3 The Ramanujan Journal 3 Annales Mathématiques du Québec 2 Acta Arithmetica 2 Bulletin of the London Mathematical Society 2 Bulletin de la Société Mathématique de France 2 Canadian Mathematical Bulletin 2 Revista Matemática Iberoamericana 2 Experimental Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Oberwolfach Reports 2 Japanese Journal of Mathematics. 3rd Series 2 Essential Number Theory 1 Communications in Algebra 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematics of Computation 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of the Indian Institute of Science 1 Nagoya Mathematical Journal 1 Proceedings of the London Mathematical Society. Third Series 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Publicacions Matemàtiques 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Indagationes Mathematicae. New Series 1 Finite Fields and their Applications 1 Algebras and Representation Theory 1 Infinite Dimensional Analysis, Quantum Probability and Related Topics 1 Acta Mathematica Sinica. English Series 1 Kyoto Journal of Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Moscow Journal of Combinatorics and Number Theory 1 European Journal of Mathematics 1 Proceedings of the American Mathematical Society. Series B 1 Peking Mathematical Journal all top 5 Cited in 20 Fields 384 Number theory (11-XX) 92 Algebraic geometry (14-XX) 69 Topological groups, Lie groups (22-XX) 32 Group theory and generalizations (20-XX) 8 Commutative algebra (13-XX) 4 Field theory and polynomials (12-XX) 3 Several complex variables and analytic spaces (32-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Nonassociative rings and algebras (17-XX) 2 \(K\)-theory (19-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Category theory; homological algebra (18-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-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.