30 citations · 86 across the 26 of their papers we have counts for
5 papers · 1 filter
Zeta elements for elliptic curves and applications
Ashay Burungale, Christopher Skinner, Ye Tian +1
Let be an elliptic curve defined over with conductor and a prime. Let be an imaginary quadratic field with split. We prove the existence of…
Hecke -values, definite Shimura sets and Mod non-vanishing
Ashay A. Burungale, Wei He, Shinichi Kobayashi +1
Let be a self-dual Hecke character over an imaginary quadratic field of infinity type . Let and be primes which are coprime to $6N_{K/\mathbb{Q}}({\mathrm…
Dimension of the deformation space of ordinary representations in the cyclotomic limit
Ashay A. Burungale, Laurent Clozel, Barry Mazur
The weight two ordinary deformations are unobstructed in the cyclotomic limit under certain assumptions. We show that such an ordinary deformation ring over the cyclotomic tower ca…
Base change and Iwasawa Main Conjectures for
Ashay Burungale, Francesc Castella, Christopher Skinner
Let be an elliptic curve defined over of conductor , an odd prime of good ordinary reduction such that is an irreducible Galois module, and an im…
On the Frobenius fields of abelian varieties over number fields
Ashay A. Burungale, Haruzo Hida, Shilin Lai
Let be a non-CM simple abelian variety over a number field . For a place of such that has good reduction at , let denote the Frobenius field generate…