2 citations · 3 across the 19 of their papers we have counts for
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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…
Counting elliptic curves with prescribed entanglements
Zachary Couvillon, Anwesh Ray
We establish asymptotic lower bounds for the number of elliptic curves over with prescribed entanglement of division fields, ordered by naive height. Such elliptic cur…
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…
Massey products and the Iwasawa theory of fine Selmer groups
Anwesh Ray, R. Sujatha
A central conjecture of Coates and Sujatha predicts that the fine Selmer group of any -adic Galois representation is cotorsion over the relevant Iwasawa algebra with vanishing $…
Mazur's growth number conjecture and congruences
Anwesh Ray
Motivated by the work of Greenberg-Vatsal and Emerton-Pollack-Weston, I investigate the extent to which Mazur's conjecture on the growth of Selmer ranks in -extension…
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…
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…