On the generic part of the cohomology of compact unitary Shimura varieties A Caraiani, P Scholze Annals of Mathematics 186 (3), 649-766, 2017 | 193 | 2017 |
Local-global compatibility and the action of monodromy on nearby cycles A Caraiani Duke Math Journal, 2012 | 161 | 2012 |
Patching and the p-adic local Langlands correspondence A Caraiani, M Emerton, T Gee, D Geraghty, V Paskunas, SW Shin Cambridge Journal of Math. 4 (2), 197-287, 2016 | 149 | 2016 |
Potential automorphy over CM fields P Allen, F Calegari, A Caraiani, T Gee, D Helm, B Le Hung, J Newton, ... Annals of Mathematics 197 (3), 897-1113, 2023 | 101 | 2023 |
Monodromy and local-global compatibility for l= p A Caraiani Algebra & Number Theory 8 (7), 1597-1646, 2014 | 89 | 2014 |
On the generic part of the cohomology of non-compact unitary Shimura varieties A Caraiani, P Scholze Annals of Mathematics 199 (2), 483-590, 2024 | 45* | 2024 |
Patching and the-adic Langlands program for A Caraiani, M Emerton, T Gee, D Geraghty, V Paškūnas, SW Shin Compositio Mathematica 154 (3), 503-548, 2018 | 37 | 2018 |
On the image of complex conjugation in certain Galois representations A Caraiani, BV Le Hung Compositio Mathematica 152 (7), 1476-1488, 2016 | 29 | 2016 |
Shimura varieties at level and Galois representations A Caraiani, DR Gulotta, CY Hsu, C Johansson, L Mocz, E Reinecke, ... Compositio Mathematica 156 (6), 1152-1230, 2020 | 26 | 2020 |
Kisin modules with descent data and parahoric local models A Caraiani, B Levin Annales Scientifiques de l'École Normale Supérieure 4 (51), 181-213, 2018 | 23 | 2018 |
Moduli stacks of two-dimensional Galois representations A Caraiani, M Emerton, T Gee, D Savitt arXiv preprint arXiv:1908.07019, 2019 | 20 | 2019 |
p-Adic q-Expansion Principles on Unitary Shimura Varieties A Caraiani, E Eischen, J Fintzen, E Mantovan, I Varma Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop, 197-243, 2016 | 16 | 2016 |
On the modularity of elliptic curves over imaginary quadratic fields A Caraiani, J Newton arXiv preprint arXiv:2301.10509, 2023 | 14 | 2023 |
Perfectoid spaces: lectures from the 2017 Arizona Winter School B Bhatt, A Caraiani, KS Kedlaya, P Scholze, J Weinstein American mathematical society, 2022 | 14* | 2022 |
On the \'etale cohomology of Hilbert modular varieties with torsion coefficients A Caraiani, M Tamiozzo arXiv preprint arXiv:2107.10081, 2021 | 13 | 2021 |
The geometric Breuil-M\'ezard conjecture for two-dimensional potentially Barsotti-Tate Galois representations A Caraiani, M Emerton, T Gee, D Savitt arXiv preprint arXiv:2207.05235, 2022 | 11 | 2022 |
Local geometry of moduli stacks of two-dimensional Galois representations A Caraiani, M Emerton, T Gee, D Savitt arXiv preprint arXiv:2207.14337, 2022 | 8 | 2022 |
Components of moduli stacks of two-dimensional Galois representations A Caraiani, M Emerton, T Gee, D Savitt Forum of Mathematics, Sigma 12, e31, 2024 | 6 | 2024 |
Vanishing theorems for Shimura varieties at unipotent level A Caraiani, DR Gulotta, C Johansson Journal of the European Mathematical Society 25 (3), 869-911, 2023 | 4 | 2023 |
The cohomology of Shimura varieties with torsion coefficients A Caraiani Proc. Int. Cong. Math 3, 1744-1766, 2022 | 4 | 2022 |