Edit Profile (opens in new tab) Caraiani, Ana Co-Author Distance Author ID: caraiani.ana Published as: Caraiani, Ana Homepage: https://www.ma.imperial.ac.uk/~acaraian/ External Links: MGP · ORCID · Wikidata · Google Scholar · dblp · GND · IdRef Videos: carmin.tv Awards: EMS Prize (2020) · New Horizons in Mathematics Prize (2023) Documents Indexed: 22 Publications since 2010, including 5 Additional arXiv Preprints 1 Further Contribution Biographic References: 3 Publications Co-Authors: 26 Co-Authors with 18 Joint Publications 316 Co-Co-Authors all top 5 Co-Authors 5 single-authored 7 Gee, Toby 6 Emerton, Matthew 4 Savitt, David 4 Scholze, Peter 3 Shin, Sug Woo 2 Geraghty, David 2 Gulotta, Daniel R. 2 Johansson, Christian 2 Le Hung, Bao Viet 2 Newton, James 2 Paškūnas, Vytautas 1 Allen, Patrick B. 1 Bhatt, Bhargav 1 Cais, Bryden 1 Calegari, Frank 1 Eischen, Ellen Elizabeth 1 Fintzen, Jessica 1 Helm, David 1 Hsu, Chi-Yun 1 Kedlaya, Kiran Sridhara 1 Levin, Brandon 1 Mantovan, Elena 1 Mocz, Lucia 1 Reinecke, Emanuel 1 Shih, Sheng-Chi 1 Tamiozzo, Matteo 1 Taylor, Richard 1 Thorne, Jack 1 Varma, Ila 1 Weinstein, Jared all top 5 Serials 4 Compositio Mathematica 3 Annals of Mathematics. Second Series 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Duke Mathematical Journal 1 Advances in Applied Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Mathematical Surveys and Monographs 1 Algebra & Number Theory 1 Forum of Mathematics, Sigma 1 Cambridge Journal of Mathematics Fields 19 Number theory (11-XX) 11 Algebraic geometry (14-XX) 3 Topological groups, Lie groups (22-XX) 1 General and overarching topics; collections (00-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 13 Publications have been cited 326 times in 223 Documents Cited by ▼ Year ▼ On the generic part of the cohomology of compact unitary Shimura varieties. Zbl 1401.11108 Caraiani, Ana; Scholze, Peter 80 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 66 2016 Local-global compatibility and the action of monodromy on nearby cycles. Zbl 1405.22028 Caraiani, Ana 65 2012 Monodromy and local-global compatibility for \(l=p\). Zbl 1310.11061 Caraiani, Ana 37 2014 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. 18 2023 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 15 2017 On the image of complex conjugation in certain Galois representations. Zbl 1404.11073 Caraiani, Ana; Le Hung, Bao V. 15 2016 Kisin modules with descent data and parahoric local models. Zbl 1450.11049 Caraiani, Ana; Levin, Brandon 11 2018 Shimura varieties at level \(\Gamma_1(p^{\infty})\) and Galois representations. Zbl 1452.11063 Caraiani, Ana; Gulotta, Daniel R.; Hsu, Chi-Yun; Johansson, Christian; Mocz, Lucia; Reinecke, Emanuel; Shih, Sheng-Chi 9 2020 \(p\)-adic \(q\)-expansion principles on unitary Shimura varieties. Zbl 1416.11095 Caraiani, Ana; Eischen, Ellen; Fintzen, Jessica; Mantovan, Elena; Varma, Ila 5 2016 Perfectoid spaces. Lectures from the 20th Arizona winter school, University of Arizona, Tuscon, AZ, USA, March 11–17, 2017. With an introduction by Peter Scholze. Zbl 1428.14002 4 2019 On the étale cohomology of Hilbert modular varieties with torsion coefficients. Zbl 1537.14041 Caraiani, Ana; Tamiozzo, Matteo 4 2023 Perfectoid Shimura varieties. Zbl 1451.14082 Caraiani, Ana 1 2019 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. 18 2023 On the étale cohomology of Hilbert modular varieties with torsion coefficients. Zbl 1537.14041 Caraiani, Ana; Tamiozzo, Matteo 4 2023 Shimura varieties at level \(\Gamma_1(p^{\infty})\) and Galois representations. Zbl 1452.11063 Caraiani, Ana; Gulotta, Daniel R.; Hsu, Chi-Yun; Johansson, Christian; Mocz, Lucia; Reinecke, Emanuel; Shih, Sheng-Chi 9 2020 Perfectoid spaces. Lectures from the 20th Arizona winter school, University of Arizona, Tuscon, AZ, USA, March 11–17, 2017. With an introduction by Peter Scholze. Zbl 1428.14002 4 2019 Perfectoid Shimura varieties. Zbl 1451.14082 Caraiani, Ana 1 2019 Kisin modules with descent data and parahoric local models. Zbl 1450.11049 Caraiani, Ana; Levin, Brandon 11 2018 On the generic part of the cohomology of compact unitary Shimura varieties. Zbl 1401.11108 Caraiani, Ana; Scholze, Peter 80 2017 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 15 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 66 2016 On the image of complex conjugation in certain Galois representations. Zbl 1404.11073 Caraiani, Ana; Le Hung, Bao V. 15 2016 \(p\)-adic \(q\)-expansion principles on unitary Shimura varieties. Zbl 1416.11095 Caraiani, Ana; Eischen, Ellen; Fintzen, Jessica; Mantovan, Elena; Varma, Ila 5 2016 Monodromy and local-global compatibility for \(l=p\). Zbl 1310.11061 Caraiani, Ana 37 2014 Local-global compatibility and the action of monodromy on nearby cycles. Zbl 1405.22028 Caraiani, Ana 65 2012 all cited Publications top 5 cited Publications all top 5 Cited by 222 Authors 14 Gee, Toby 13 Thorne, Jack 10 Le, Daniel 10 Shin, Sug Woo 9 Caraiani, Ana 9 Morra, Stefano 7 Calegari, Frank 7 Emerton, Matthew 7 Johansson, Christian 7 Le Hung, Bao Viet 7 Levin, Brandon 7 Newton, James 7 Paškūnas, Vytautas 6 Breuil, Christophe 6 Geraghty, David 6 Scholze, Peter 6 Schraen, Benjamin 5 Hellmann, Eugen 5 Herzig, Florian 5 Hu, Yongquan 5 Khare, Chandrashekhar 5 Liu, Yifeng 4 Barnet-Lamb, Thomas 4 Boyer, Pascal 4 Ding, Yiwen 4 Eischen, Ellen Elizabeth 4 Hansen, David 4 Kret, Arno 4 Sorensen, Claus Mazanti 4 Taylor, Richard 4 Xiao, Liang 3 Ash, Avner 3 Clozel, Laurent 3 Dospinescu, Gabriel 3 Fakhruddin, Najmuddin 3 Harris, Michael Howard 3 Hong, Serin 3 Howe, Sean 3 Ludwig, Judith 3 Patrikis, Stefan T. 3 Shotton, Jack 3 Tian, Yichao 3 Tung, Shen-Ning 2 Allen, Patrick B. 2 Andreatta, Fabrizio 2 Bergdall, John 2 Birkbeck, Christopher 2 Böckle, Gebhard 2 Boxer, George 2 Colmez, Pierre 2 Dieulefait, Luis Victor 2 Doud, Darrin 2 Gehrmann, Lennart 2 Görtz, Ulrich 2 Gulotta, Daniel R. 2 Hamacher, Paul 2 Helm, David 2 Kim, Wansu 2 Koshikawa, Teruhisa 2 Kozioł, Karol 2 Lan, Kai-Wen 2 Li, Chao 2 Manning, Jeffrey A. 2 Marshall, Simon 2 Nie, Sian 2 Nizioł, Wiesława 2 Pan, Lue 2 Park, Chol 2 Pyvovarov, Alexandre 2 Qian, Zicheng 2 Ren, Rufei 2 Saha, Jyoti Prakash 2 Savitt, David 2 Shen, Xu 2 Templier, Nicolas 2 Urban, Eric 2 van Hoften, Pol 2 Varma, Ila 2 Viehmann, Eva 2 Wear, Peter 2 Wedhorn, Torsten 2 Zhang, Wei 2 Zhu, Xinwen 1 Abbes, Ahmed 1 Abe, Noriyuki 1 Amadio Guidi, Federico 1 Amri, Mohammed Amin 1 Anastassiades, Christos 1 Arias-de-Reyna, Sara 1 Assaf, Eran 1 Atobe, Hiraku 1 Banaszak, Grzegorz 1 Banerjee, Debargha 1 Bertoloni Meli, Alexander 1 Blomer, Valentin 1 Brumley, Farrell 1 Bültel, Oliver 1 Buzzard, Kevin 1 Cantoral-Farfán, Victoria 1 Caruso, Xavier ...and 122 more Authors all top 5 Cited in 59 Serials 16 Compositio Mathematica 12 Mathematische Annalen 12 Journal of the Institute of Mathematics of Jussieu 11 Algebra & Number Theory 10 Inventiones Mathematicae 9 Documenta Mathematica 9 Forum of Mathematics, Pi 9 Forum of Mathematics, Sigma 7 Transactions of the American Mathematical Society 7 Annals of Mathematics. Second Series 6 Duke Mathematical Journal 6 Journal für die Reine und Angewandte Mathematik 6 Mathematische Zeitschrift 5 Publications Mathématiques 5 Journal of Number Theory 5 Journal of the American Mathematical Society 5 Journal de l’École Polytechnique – Mathématiques 4 Journal of the European Mathematical Society (JEMS) 3 Advances in Mathematics 3 Annales de l’Institut Fourier 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Memoirs of the American Mathematical Society 3 Journal de Théorie des Nombres de Bordeaux 3 Selecta Mathematica. New Series 3 Peking Mathematical Journal 2 Journal of Algebra 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Pacific Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 The Ramanujan Journal 2 Acta Mathematica Sinica. English Series 2 Oberwolfach Reports 2 International Journal of Number Theory 2 Annales Mathématiques du Québec 2 Research in the Mathematical Sciences 2 European Journal of Mathematics 1 Israel Journal of Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 American Journal of Mathematics 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 Journal of the Indian Institute of Science 1 Rendiconti del Seminario Matematico della Università di Padova 1 Revista Matemática Iberoamericana 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 Representation Theory 1 Vietnam Journal of Mathematics 1 Acta Mathematica Sinica. Chinese Series 1 Research in Number Theory 1 Transactions of the American Mathematical Society. Series B 1 European Mathematical Society Magazine 1 Essential Number Theory all top 5 Cited in 13 Fields 207 Number theory (11-XX) 68 Algebraic geometry (14-XX) 53 Topological groups, Lie groups (22-XX) 17 Group theory and generalizations (20-XX) 5 Commutative algebra (13-XX) 2 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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