15 papers
An analogue of Kida's formula for Mazur-Tate elements
Naman Pratap, Anwesh Ray
We prove an analogue of Kida's formula for the Iwasawa invariants of the Mazur-Tate elements attached to elliptic curves over . Let be an odd prime and let be…
A Heuristic approach to the Iwasawa theory of elliptic curves
Katharina Müller, Anwesh Ray
Let be an elliptic curve and an odd prime such that has good ordinary reduction at and the Galois representation on is irreducible. Then Greenb…
Selmer stability in families of congruent Galois representations
Anwesh Ray
In this article I study the variation of Selmer groups in families of modular Galois representations that are congruent modulo a fixed prime . Motivated by analogies with…
Counting rational maps on with prescribed local conditions
Khoa D. Nguyen, Anwesh Ray
We explore distribution questions for rational maps on the projective line over within the framework of arithmetic dynamics, drawing analogies to ellipt…
Distribution questions for isogeny graphs over finite fields
Anwesh Ray
In the first part of the paper, we fix a non-CM elliptic curve and an odd prime and investigate the distribution of invariants associated to the -volcan…
Selmer stability for elliptic curves in Galois -extensions
Siddhi Pathak, Anwesh Ray
We study the behavior of Selmer groups of an elliptic curve in finite Galois extensions with prescribed Galois group. Fix a prime , a finite group w…