Ana Caraiani - Selected Publications#

On the generic part of the cohomology of non-compact unitary Shimura varieties
Caraiani, Ana; Scholze, Peter
Scholze, Annals of Math. (2), 199 (2024), no 2, 483–590.

The cohomology of Shimura varieties with torsion coefficients
Caraiani, Ana
Proc. Int. Cong. Math. 2022, vol. 3, 1744–1766, EMS Press, Berlin, 2023.

Vanishing theorems for Shimura varieties at unipotent level
Caraiani, Ana; Gulotta, Daniel R.; Johansson, Christian
J. Eur. Math. Soc. (JEMS) 25 (2023), no. 3, 869–911.

On the étale cohomology of Hilbert modular varieties with torsion coefficients
Caraiani, Ana; Tamiozzo, Matteo
Compos. Math. 159 (2023), no. 11, 2279–2325.

Potential automorphy over CM fields
Allen, Patrick B.; Calegari, Frank; Caraiani, Ana; Gee, Toby; Helm, David; Le Hung, Bao V.; Newton, James; Scholze, Peter; Taylor, Richard; Thorne, Jack A.
Ann. of Math. (2) 197 (2023), no. 3, 897–1113.

Kisin modules with descent data and parahoric local models
Caraiani, Ana; Levin, Brandon
Ann. Sci. Éc. Norm. Supér. (4) 51 (2018), no. 1, 181–213.

On the generic part of the cohomology of compact unitary Shimura varieties
Caraiani, Ana; Scholze, Peter
Ann. of Math. (2) 186 (2017), no. 3, 649–766.

Patching and the p-adic local Langlands correspondence
Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo
Camb. J. Math. 4 (2016), no. 2, 197–287.

Local-global compatibility and monodromy for l = p
Caraiani, Ana
Algebra & Number Theory 8 (2014), no. 7, 1597--1646.

Local-global compatibility and the action of monodromy on nearby cycles
Caraiani, Ana
Duke Math. J. 161 (2012), no. 12, 2311–2413.