3 papers
math.NT2026
A refined non-vanishing of the -adic logarithm of a rational point on an abelian variety
Ashay Burungale, Christopher Skinner, Xin Wan
Inspired by a beautiful formula of Bertolini, Darmon, and Prasanna -- the oft-termed BDP formula -- we address questions about the non-vanishing of non-torsion points under -adi…
math.NT2026
Non-vanishing of Kolyvagin systems and Iwasawa theory
Ashay Burungale, Francesc Castella, Giada Grossi +1
Let be an elliptic curve and an odd prime. In 1991 Kolyvagin conjectured that the system of cohomology classes for torsion quotients of the -adic Tate module…
math.NT2025
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…