Edit Profile (opens in new tab) Allen, Patrick B. Co-Author Distance Author ID: allen.patrick-b Published as: Allen, Patrick B.; Allen, Patrick Documents Indexed: 14 Publications since 2007, including 1 Additional arXiv Preprint Co-Authors: 14 Co-Authors with 8 Joint Publications 222 Co-Co-Authors all top 5 Co-Authors 4 single-authored 4 Thorne, Jack 3 Newton, James 2 Calegari, Frank 2 Khare, Chandrashekhar 1 Ahlgren, Scott D. 1 Böttcher, Julia 1 Caraiani, Ana 1 Cooley, Oliver 1 Gee, Toby 1 Helm, David 1 Kohayakawa, Yoshiharu 1 Landman, Bruce M. 1 Le Hung, Bao Viet 1 Meeks, Holly 1 Mota, Guilherme Oliveira 1 Mycroft, Richard 1 Parente, Roberto F. 1 Scholze, Peter 1 Tang, Shiang 1 Taylor, Richard all top 5 Serials 2 Compositio Mathematica 1 American Journal of Mathematics 1 Duke Mathematical Journal 1 Journal of Number Theory 1 Utilitas Mathematica 1 The Electronic Journal of Combinatorics 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Algebra & Number Theory 1 Cambridge Journal of Mathematics 1 Transactions of the American Mathematical Society. Series B Fields 12 Number theory (11-XX) 3 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 12 Publications have been cited 59 times in 52 Documents Cited by ▼ Year ▼ Deformations of polarized automorphic Galois representations and adjoint Selmer groups. Zbl 1417.11093 Allen, Patrick B. 17 2016 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 Modularity of nearly ordinary 2-adic residually dihedral Galois representations. Zbl 1302.11036 Allen, Patrick B. 6 2014 On automorphic points in polarized deformation rings. Zbl 1473.11113 Allen, Patrick B. 6 2019 Automorphy lifting for residually reducible \(l\)-adic Galois representations. II. Zbl 1480.11063 Allen, Patrick B.; Newton, James; Thorne, Jack A. 5 2020 On the multiplicity of linear recurrence sequences. Zbl 1133.11006 Allen, Patrick B. 4 2007 On the number of orientations of random graphs with no directed cycles of a given length. Zbl 1300.05278 Allen, P.; Kohayakawa, Y.; Mota, G. O.; Parente, R. F. 3 2014 Finiteness of unramified deformation rings. Zbl 1310.11058 Allen, Patrick B.; Calegari, Frank 3 2014 Congruences like Atkin’s for the partition function. Zbl 1514.11028 Ahlgren, Scott; Allen, Patrick B.; Tang, Shiang 3 2022 Monodromy for some rank two Galois representations over CM fields. Zbl 1472.11165 Allen, Patrick B.; Newton, James 2 2020 Tight cycles in hypergraphs. Zbl 1346.05196 Allen, P.; Böttcher, J.; Cooley, O.; Mycroft, R. 2 2015 Modularity of \(\mathrm{GL}_2 (\mathbb{F}_p)\)-representations over CM fields. Zbl 07693588 Allen, Patrick B.; Khare, Chandrashekhar; Thorne, Jack A. 1 2023 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 Modularity of \(\mathrm{GL}_2 (\mathbb{F}_p)\)-representations over CM fields. Zbl 07693588 Allen, Patrick B.; Khare, Chandrashekhar; Thorne, Jack A. 1 2023 Congruences like Atkin’s for the partition function. Zbl 1514.11028 Ahlgren, Scott; Allen, Patrick B.; Tang, Shiang 3 2022 Automorphy lifting for residually reducible \(l\)-adic Galois representations. II. Zbl 1480.11063 Allen, Patrick B.; Newton, James; Thorne, Jack A. 5 2020 Monodromy for some rank two Galois representations over CM fields. Zbl 1472.11165 Allen, Patrick B.; Newton, James 2 2020 On automorphic points in polarized deformation rings. Zbl 1473.11113 Allen, Patrick B. 6 2019 Deformations of polarized automorphic Galois representations and adjoint Selmer groups. Zbl 1417.11093 Allen, Patrick B. 17 2016 Tight cycles in hypergraphs. Zbl 1346.05196 Allen, P.; Böttcher, J.; Cooley, O.; Mycroft, R. 2 2015 Modularity of nearly ordinary 2-adic residually dihedral Galois representations. Zbl 1302.11036 Allen, Patrick B. 6 2014 On the number of orientations of random graphs with no directed cycles of a given length. Zbl 1300.05278 Allen, P.; Kohayakawa, Y.; Mota, G. O.; Parente, R. F. 3 2014 Finiteness of unramified deformation rings. Zbl 1310.11058 Allen, Patrick B.; Calegari, Frank 3 2014 On the multiplicity of linear recurrence sequences. Zbl 1133.11006 Allen, Patrick B. 4 2007 all cited Publications top 5 cited Publications all top 5 Cited by 77 Authors 5 Newton, James 5 Thorne, Jack 4 Khare, Chandrashekhar 3 Calegari, Frank 3 Gee, Toby 3 Schraen, Benjamin 2 Breuil, Christophe 2 Caraiani, Ana 2 Fakhruddin, Najmuddin 2 Hellmann, Eugen 2 Hu, Yongquan 2 Le Hung, Bao Viet 2 Paškūnas, Vytautas 2 Raum, Martin 2 Tung, Shen-Ning 1 Ahlgren, Scott D. 1 Amri, Mohammed Amin 1 Balakrishnan, Jennifer S. 1 Barrera Salazar, Daniel 1 Beckwith, Olivia 1 Bellovin, Rebecca 1 Bergdall, John 1 Blanco-Chacón, Iván 1 Böckle, Gebhard 1 Boxer, George 1 Boyer, Pascal 1 Bugeaud, Yann 1 Childers, Kevin 1 Chiriac, Liubomir 1 Deo, Shaunak V. 1 Dicks, Robert 1 Dieulefait, Luis Victor 1 Dogra, Netan 1 Dubickas, Artūras 1 Freitas, Nuno 1 Geraghty, David 1 Guiraud, David-Alexandre 1 Gulotta, Daniel R. 1 Hajdu, Lajos 1 Herzig, Florian 1 Hsu, Chi-Yun 1 Jankauskas, Jonas 1 Johansson, Christian 1 Jorza, Andrei 1 Kings, Guido 1 Kret, Arno 1 Li, Chao 1 Manning, Jeffrey A. 1 Margerin, Christophe M. 1 Mocz, Lucia 1 Morra, Stefano 1 Patrikis, Stefan T. 1 Pilloni, Vincent 1 Pyvovarov, Alexandre 1 Ramakrishna, Ravi Kumar 1 Reinecke, Emanuel 1 Ronchetti, Niccolò 1 Serban, Vlad 1 Shih, Sheng-Chi 1 Shin, Sug Woo 1 Shotton, Jack 1 Siksek, Samir 1 Stewart, Cameron L. 1 Ramdorai, Sujatha 1 Szikszai, Márton 1 Talebizadeh Sardari, Naser 1 Tamiozzo, Matteo 1 Taylor, Noah 1 Urban, Eric 1 Venjakob, Otmar 1 Venkatesh, Akshay 1 Wake, Preston 1 Wang-Erickson, Carl 1 Wedhorn, Torsten 1 Wiese, Gabor 1 Williams, Chris J. K. 1 Yoshikawa, Sho all top 5 Cited in 28 Serials 4 Compositio Mathematica 4 Mathematische Annalen 4 Algebra & Number Theory 3 Publications Mathématiques 3 Inventiones Mathematicae 3 Journal of Number Theory 3 Journal of the Institute of Mathematics of Jussieu 3 Research in Number Theory 2 American Journal of Mathematics 2 Duke Mathematical Journal 2 Transactions of the American Mathematical Society 2 Journal de Théorie des Nombres de Bordeaux 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal of the Indian Institute of Science 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Proceedings of the London Mathematical Society. Third Series 1 Forum Mathematicum 1 IMRN. International Mathematics Research Notices 1 Selecta Mathematica. New Series 1 Journal of the European Mathematical Society (JEMS) 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Oberwolfach Reports 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 8 Fields 52 Number theory (11-XX) 7 Algebraic geometry (14-XX) 4 Topological groups, Lie groups (22-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) Citations by Year