Edit Profile (opens in new tab) Castella, Francesc Co-Author Distance Author ID: castella.francesc Published as: Castella, Francesc Homepage: https://web.math.princeton.edu/~fcabello/ External Links: MGP · Google Scholar · ResearchGate Documents Indexed: 31 Publications since 2013, including 13 Additional arXiv Preprints Co-Authors: 26 Co-Authors with 24 Joint Publications 368 Co-Co-Authors all top 5 Co-Authors 7 single-authored 5 Skinner, Christopher M. 5 Wan, Xin 4 Burungale, Ashay A. 3 Grossi, Giada 3 Kim, Chan-Ho 2 Alonso, Raúl 2 Hsieh, Ming-Lun 2 Liu, Zheng 2 Longo, Matteo 2 Rivero, Óscar 1 Agboola, Adebisi 1 Bertolini, Massimo 1 Candelori, Luca 1 Çiperiani, Mirela 1 Darmon, Henri René 1 Dasgupta, Samit 1 Do, Kim Tuan 1 Hida, Haruzo 1 Hsu, Chi-Yun 1 Kundu, Debanjana 1 Lee, Jaehoon 1 Lee, Yu-Shen 1 Prasanna, Kartik 1 Rotger, Victor 1 Tian, Ye 1 Wang-Erickson, Carl all top 5 Serials 2 Mathematische Annalen 2 Journal of the Institute of Mathematics of Jussieu 2 Algebra & Number Theory 2 Forum of Mathematics, Sigma 2 Annales Mathématiques du Québec 1 Advances in Mathematics 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal de Théorie des Nombres de Bordeaux 1 Journal of the European Mathematical Society (JEMS) 1 Cambridge Journal of Mathematics 1 Research in the Mathematical Sciences Fields 20 Number theory (11-XX) 4 Algebraic geometry (14-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 18 Publications have been cited 143 times in 79 Documents Cited by ▼ Year ▼ Heegner cycles and \(p\)-adic \(L\)-functions. Zbl 1454.11122 Castella, Francesc; Hsieh, Ming-Lun 24 2018 \(p\)-adic heights of Heegner points and Beilinson-Flach classes. Zbl 1400.11138 Castella, Francesc 17 2017 On the \(p\)-adic variation of Heegner points. Zbl 1454.11108 Castella, Francesc 15 2020 A proof of Perrin-Riou’s Heegner point main conjecture. Zbl 1496.11133 Burungale, Ashay; Castella, Francesc; Kim, Chan-Ho 14 2021 Heegner cycles and higher weight specializations of big Heegner points. Zbl 1322.11054 Castella, Francesc 12 2013 Variation of anticyclotomic Iwasawa invariants in Hida families. Zbl 1404.11126 Castella, Francesc; Kim, Chan-Ho; Longo, Matteo 9 2017 On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes. Zbl 1493.11101 Castella, Francesc; Grossi, Giada; Lee, Jaehoon; Skinner, Christopher 9 2022 On the exceptional specializations of big Heegner points. Zbl 1390.11094 Castella, Francesc 8 2018 \(p\)-adic \(L\)-functions and Euler systems: a tale in two trilogies. Zbl 1369.11038 Bertolini, Massimo; Castella, Francesc; Darmon, Henri; Dasgupta, Samit; Prasanna, Kartik; Rotger, Victor 8 2014 On the \(p\)-part of the Birch-Swinnerton-Dyer formula for multiplicative primes. Zbl 1400.11139 Castella, Francesc 5 2018 Big Heegner points and special values of \(L\)-series. Zbl 1408.11022 Castella, Francesc; Longo, Matteo 4 2016 \(p^{\infty}\)-Selmer groups and rational points on CM elliptic curves. Zbl 1516.11061 Burungale, Ashay; Castella, Francesc; Skinner, Christopher; Tian, Ye 4 2022 Class groups and local indecomposability for non-CM forms. Zbl 1500.11048 Castella, Francesc; Wang-Erickson, Carl; Hida, Haruzo 4 2022 The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions. Zbl 1495.11123 Castella, Francesc; Wan, Xin 3 2022 A geometric perspective on \(p\)-adic properties of mock modular forms. Zbl 1422.11101 Candelori, Luca; Castella, Francesc 2 2017 On the nonvanishing of generalised Kato classes for elliptic curves of rank 2. Zbl 1496.11078 Castella, Francesc; Hsieh, Ming-Lun 2 2022 On anticyclotomic variants of the \(p\)-adic Birch and Swinnerton-Dyer conjecture. Zbl 1489.11081 Agboola, Adebisi; Castella, Francesc 2 2022 Iwasawa-Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on \(\mathrm{GU}(3, 1)\). Zbl 1504.11118 Castella, Francesc; Liu, Zheng; Wan, Xin 1 2022 On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes. Zbl 1493.11101 Castella, Francesc; Grossi, Giada; Lee, Jaehoon; Skinner, Christopher 9 2022 \(p^{\infty}\)-Selmer groups and rational points on CM elliptic curves. Zbl 1516.11061 Burungale, Ashay; Castella, Francesc; Skinner, Christopher; Tian, Ye 4 2022 Class groups and local indecomposability for non-CM forms. Zbl 1500.11048 Castella, Francesc; Wang-Erickson, Carl; Hida, Haruzo 4 2022 The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions. Zbl 1495.11123 Castella, Francesc; Wan, Xin 3 2022 On the nonvanishing of generalised Kato classes for elliptic curves of rank 2. Zbl 1496.11078 Castella, Francesc; Hsieh, Ming-Lun 2 2022 On anticyclotomic variants of the \(p\)-adic Birch and Swinnerton-Dyer conjecture. Zbl 1489.11081 Agboola, Adebisi; Castella, Francesc 2 2022 Iwasawa-Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on \(\mathrm{GU}(3, 1)\). Zbl 1504.11118 Castella, Francesc; Liu, Zheng; Wan, Xin 1 2022 A proof of Perrin-Riou’s Heegner point main conjecture. Zbl 1496.11133 Burungale, Ashay; Castella, Francesc; Kim, Chan-Ho 14 2021 On the \(p\)-adic variation of Heegner points. Zbl 1454.11108 Castella, Francesc 15 2020 Heegner cycles and \(p\)-adic \(L\)-functions. Zbl 1454.11122 Castella, Francesc; Hsieh, Ming-Lun 24 2018 On the exceptional specializations of big Heegner points. Zbl 1390.11094 Castella, Francesc 8 2018 On the \(p\)-part of the Birch-Swinnerton-Dyer formula for multiplicative primes. Zbl 1400.11139 Castella, Francesc 5 2018 \(p\)-adic heights of Heegner points and Beilinson-Flach classes. Zbl 1400.11138 Castella, Francesc 17 2017 Variation of anticyclotomic Iwasawa invariants in Hida families. Zbl 1404.11126 Castella, Francesc; Kim, Chan-Ho; Longo, Matteo 9 2017 A geometric perspective on \(p\)-adic properties of mock modular forms. Zbl 1422.11101 Candelori, Luca; Castella, Francesc 2 2017 Big Heegner points and special values of \(L\)-series. Zbl 1408.11022 Castella, Francesc; Longo, Matteo 4 2016 \(p\)-adic \(L\)-functions and Euler systems: a tale in two trilogies. Zbl 1369.11038 Bertolini, Massimo; Castella, Francesc; Darmon, Henri; Dasgupta, Samit; Prasanna, Kartik; Rotger, Victor 8 2014 Heegner cycles and higher weight specializations of big Heegner points. Zbl 1322.11054 Castella, Francesc 12 2013 all cited Publications top 5 cited Publications all top 5 Cited by 71 Authors 11 Castella, Francesc 10 Lei, Antonio 8 Burungale, Ashay A. 7 Longo, Matteo 6 Büyükboduk, Kâzim 6 Darmon, Henri René 6 Kim, Chan-Ho 5 Rotger, Victor 4 Hatley, Jeffrey 4 Skinner, Christopher M. 3 Bertolini, Massimo 3 Disegni, Daniel 3 Tian, Ye 3 Vigni, Stefano 3 Wan, Xin 2 Delbourgo, Daniel 2 Hsieh, Ming-Lun 2 Kobayashi, Shinichi 2 Loeffler, David 2 Molina, Santiago 2 Müller, Katharina 2 Ota, Kazuto 2 Rivero, Óscar 1 Agboola, Adebisi 1 Asakura, Masanori 1 Barrera Salazar, Daniel 1 Barrera, Daniel 1 Berger, Tobias 1 Betina, Adel 1 Brown, Francis C. S. 1 Bruin, Nils 1 Brunault, François 1 Casazza, Daniele 1 Chida, Masataka 1 Collins, Dan J. 1 Conrad, Brian 1 Dimitrov, Mladen 1 Flynn, Eugene Victor 1 Gao, Shan 1 Gatti, Francesca 1 Gilmore, Hamish 1 Griffin, Michael J. 1 Grossi, Giada 1 Guitart, Xavier 1 Hashimoto, Sachi 1 Hida, Haruzo 1 Kim, Myoungil 1 Kings, Guido 1 Klosin, Krzysztof 1 Kriz, Daniel J. 1 Kundu, Debanjana 1 Lauder, Alan G. B. 1 Lee, Jaehoon 1 Li, Chao 1 Lim, Meng Fai 1 Magrone, Paola 1 Nicole, Marc-Hubert 1 Ochiai, Tadashi 1 Prasanna, Kartik 1 Ray, Anwesh 1 Shnidman, Ari 1 Shnidman, Ariel 1 Ramdorai, Sujatha 1 Sun, Hae-Sang 1 Thackeray, Henry (Maya) Robert 1 Urban, Eric 1 Venerucci, Rodolfo 1 Venjakob, Otmar 1 Williams, Chris J. K. 1 Xia, Jiacheng 1 Zhao, Luochen all top 5 Cited in 35 Serials 8 Annales Mathématiques du Québec 7 Journal of Number Theory 5 Transactions of the American Mathematical Society 4 Advances in Mathematics 4 Journal de Théorie des Nombres de Bordeaux 4 Journal of the Institute of Mathematics of Jussieu 3 Inventiones Mathematicae 3 Forum Mathematicum 3 Algebra & Number Theory 3 Research in the Mathematical Sciences 2 Canadian Journal of Mathematics 2 Indiana University Mathematics Journal 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Selecta Mathematica. New Series 2 Kyoto Journal of Mathematics 2 Forum of Mathematics, Sigma 1 Israel Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Duke Mathematical Journal 1 Journal of the Indian Institute of Science 1 Journal of the London Mathematical Society. Second Series 1 Proceedings of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Algebraic Geometry 1 Acta Mathematica Sinica. English Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Oberwolfach Reports 1 International Journal of Number Theory 1 Proceedings of the American Mathematical Society. Series B Cited in 5 Fields 79 Number theory (11-XX) 13 Algebraic geometry (14-XX) 1 General and overarching topics; collections (00-XX) 1 \(K\)-theory (19-XX) 1 Numerical analysis (65-XX) Citations by Year