On liftings and cusp cohomology of arithmetic groups.
On modular representations of Gal (.../Q) arising from modular forms.
On non-basic Rapoport-Zink spaces
In this paper we study certain moduli spaces of Barsotti-Tate groups constructed by Rapoport and Zink as local analogues of Shimura varieties. More precisely, given an isogeny class of Barsotti-Tate groups with unramified additional structures, we investigate how the associated (non-basic) moduli spaces compare to the (basic) moduli spaces associated with its isoclinic constituents. This aspect of the geometry of the Rapoport-Zink spaces is closely related to Kottwitz’s prediction that their -adic...
On the Local Langlands Conjecture for Central Division Algebras of Index p.
On the Local Langlands Conjecture for GL(2).