4 papers
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…
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…
Iwasawa theory and ranks of elliptic curves in quadratic twist families
Jeffrey Hatley, Anwesh Ray
We study the distribution of ranks of elliptic curves in quadratic twist families using Iwasawa-theoretic methods, contributing to the understanding of Goldfeld's conjecture. Given…