12 citations · 35 across the 12 of their papers we have counts for
13 papers
Cones of Weights and Minimal Cones of the Goren-Oort Strata in Hilbert modular varieties
Fred Diamond, Payman L Kassaei
Let be a prime, a totally real field in which is unramified, and a Shimura variety associated to (or a…
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…
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…
Mod Hilbert modular forms of parallel weight one: the ramified case
Payman L Kassaei
We generalize the main result of arXiv:1206.6631 [math.NT] to all totally real fields. In other words, for prime, we prove (under a mild Taylor-Wiles hypothesis) that if a mo…
-adic Dynamics of Hecke Operators on Modular Curves
Eyal Z. Goren, Payman L Kassaei
In this paper we study the -adic dynamics of prime-to- Hecke operators on the set of points of modular curves in both cases of good ordinary and supersingular reduction. We p…
Minimal weights of Hilbert modular forms in characteristic p
Fred Diamond, Payman Kassaei
We consider mod p Hilbert modular forms associated to a totally real field of degree d in which p is unramified. We prove that every such form arises by multiplication by partial H…