40 citations · 106 across the 12 of their papers we have counts for
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math.NT2020★ 4 cited
Geometric weight-shifting operators on Hilbert modular forms in characteristic p
Fred Diamond
We carry out a thorough study of weight-shifting operators on Hilbert modular forms in characteristic , generalizing the author's prior work with Sasaki to the case where is…
math.NT2020★ 6 cited
The cone of minimal weights for mod Hilbert modular forms
Fred Diamond, Payman L Kassaei
We prove that all mod Hilbert modular forms arise via multiplication by generalized partial Hasse invariants from forms whose weight falls within a certain minimal cone. This a…
math.NT2020★ 5 cited
A mod p Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties: Splicing and dicing
Fred Diamond, Payman Kassaei, Shu Sasaki
We consider Hilbert modular varieties in characteristic p with Iwahori level at p and construct a geometric Jacquet-Langlands relation showing that the irreducible components are i…