On the generic part of the cohomology of compact unitary Shimura varieties A Caraiani, P Scholze
Annals of Mathematics 186 (3), 649-766, 2017
191 2017 Local-global compatibility and the action of monodromy on nearby cycles A Caraiani
Duke Math Journal, 2012
159 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
143 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
98 * 2023 Monodromy and local-global compatibility for l= p A Caraiani
Algebra & Number Theory 8 (7), 1597-1646, 2014
84 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
46 * 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
34 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
21 2018 Moduli stacks of two-dimensional Galois representations A Caraiani, M Emerton, T Gee, D Savitt
arXiv preprint arXiv:1908.07019, 2019
19 2019 p -Adic q -Expansion Principles on Unitary Shimura VarietiesA Caraiani, E Eischen, J Fintzen, E Mantovan, I Varma
Directions in Number Theory: Proceedings of the 2014 WIN3 Workshop, 197-243, 2016
16 2016 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 modularity of elliptic curves over imaginary quadratic fields A Caraiani, J Newton
arXiv preprint arXiv:2301.10509, 2023
11 2023 On the \'etale cohomology of Hilbert modular varieties with torsion coefficients A Caraiani, M Tamiozzo
arXiv preprint arXiv:2107.10081, 2021
11 2021 Components of moduli stacks of two-dimensional Galois representations A Caraiani, M Emerton, T Gee, D Savitt
Forum of Mathematics, Sigma 12, e31, 2024
8 2024 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
8 2022 The cohomology of Shimura varieties with torsion coefficients A Caraiani
Proc. Int. Cong. Math 3, 1744-1766, 2022
4 2022 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
3 2023 Recent progress on Langlands reciprocity for : Shimura varieties and beyond A Caraiani, SW Shin
arXiv preprint arXiv:2311.13382, 2023
1 * 2023