125 citations · 442 across the 13 of their papers we have counts for
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On the strongly regular locus of the inertia stack of
Daniel R. Gulotta
Let be a connected reductive group over a finite extension of . We show that for each , the strongly regular locus of the inertia stack of $\operatorn…
Vanishing theorems for Shimura varieties at unipotent level
Ana Caraiani, Daniel R. Gulotta, Christian Johansson
We show that the compactly supported cohomology of Shimura varieties of Hodge type of infinite -level (defined with respect to a Borel subgroup) vanishes above the m…
Bounding Selmer groups for the Rankin--Selberg convolution of Coleman families
Andrew Graham, Daniel R. Gulotta, Yujie Xu
Let and be two cuspidal modular forms and let be a Coleman family passing through , defined over an open affinoid subdomain of weight space $\mathcal{W…
Shimura varieties at level and Galois representations
Ana Caraiani, Daniel R. Gulotta, Chi-Yun Hsu +4
We show that the compactly supported cohomology of certain or -Shimura varieties with -level vanishes above the middle degree. The…
Equidimensional adic eigenvarieties for groups with discrete series
Daniel R. Gulotta
We extend Urban's construction of eigenvarieties for reductive groups such that has discrete series to include characteristic points at the boundary of weig…
Mass formulas for local Galois representations
Kiran S. Kedlaya, Daniel Gulotta
Bhargava has given a formula, derived from a formula of Serre, computing a certain count of extensions of a local field, weighted by conductor and by number of automorphisms. We in…