19 citations · 53 across the 5 of their papers we have counts for
5 papers
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…
-adic Gross-Zagier formula at critical slope and a conjecture of Perrin-Riou
Kazim Büyükboduk, Robert Pollack, Shu Sasaki
Let be an odd prime. Given an imaginary quadratic field where splits with , and a -ordinary newform such that …
A Serre weight conjecture for geometric Hilbert modular forms in characteristic p
Fred Diamond, Shu Sasaki
Let p be a prime and F a totally real field in which p is unramified. We consider mod p Hilbert modular forms for F, defined as sections of automorphic line bundles on Hilbert modu…
Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case
Payman L Kassaei, Shu Sasaki, Yichao Tian
We extend the modularity lifting result of the arXiv:1111.2804 to allow Galois representations with some ramification at p. We also prove modularity mod 2 and 5 of certain Galois r…
Virtual turning points and bifurcation of Stokes curves for higher order ordinary differential equations
Takashi Aoki, Takahiro Kawai, Shunsuke Sasaki +2
For a higher order linear ordinary differential operator P, its Stokes curve bifurcates in general when it hits another turning point of P. This phenomenon is most neatly understan…