21 citations · 83 across the 51 of their papers we have counts for
15 papers · 1 filter
Arithmetic statistics for the Fine Selmer group in Iwasawa theory
Anwesh Ray, R. Sujatha
We study arithmetic statistics for Iwasawa invariants for fine Selmer groups associated to elliptic curves.
Iwasawa Invariants for Symmetric Square Representations
Anwesh Ray, R. Sujatha, Vinayak Vatsal
Let be a prime, and a prime of above . Let and be -ordinary, -distinguished and -stabilize…
Statistics for p-ranks of Artin-Schreier covers
Anwesh Ray
Given a prime and a power of , we study the statistics of -ranks of Artin--Schreier covers of given genus defined over , in the large -limit. We refe…
Rational points on algebraic curves in infinite towers of number fields
Anwesh Ray
We study a natural question in the Iwasawa theory of algebraic curves of genus . Fix a prime number . Let be a smooth, projective, geometrically irreducible curve define…
Arithmetic statistics and diophantine stability for elliptic curves
Anwesh Ray
We study the growth and stability of the Mordell-Weil group and Tate-Shafarevich group of an elliptic curve defined over the rationals, in various cyclic Galois extensions of prime…
Arithmetic Statistics and noncommutative Iwasawa Theory
Debanjana Kundu, Antonio Lei, Anwesh Ray
Let be an odd prime. Associated to a pair consisting of a rational elliptic curve and a -adic Lie extension of $\mathbb{Q}…
Asymptotic growth of Mordell-Weil ranks of elliptic curves in noncommutative towers
Anwesh Ray
Let be an elliptic curve defined over a number field with good ordinary reduction at all primes above , and let be a finitely ramified uniform pro- extensi…
Arithmetic statistics for Galois deformation rings
Anwesh Ray, Tom Weston
Given an elliptic curve defined over the rational numbers and a prime at which has good reduction, we consider the Galois deformation ring parametrizing lifts of the re…
Statistics for Iwasawa Invariants of elliptic curves,
Debanjana Kundu, Anwesh Ray
We study the average behaviour of the Iwasawa invariants for Selmer groups of elliptic curves. These results lie at the intersection of arithmetic statistics and Iwasawa theory. We…
Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves
Jeffrey Hatley, Debanjana Kundu, Anwesh Ray
We study the average behaviour of the Iwasawa invariants for Selmer groups of elliptic curves, considered over anticyclotomic -extensions in both the definite and ind…
Constructing Galois representations with large Iwasawa -Invariant
Anwesh Ray
Let be a prime. We construct modular Galois representations for which the -corank of the -primary Selmer group (i.e., -invariant) over the cyclotomic…
On the -invariants of residually reducible Galois representations
Anwesh Ray, R. Sujatha
The Iwasawa -invariant of the Selmer group of a residually reducible Galois representation arising from a Hecke eigencuspform is studied. Furthermore, certain Iwasawa-invariants…
Anticyclotomic -invariants of residually reducible Galois Representations
Debanjana Kundu, Anwesh Ray
Let be an elliptic curve over an imaginary quadratic field , and be an odd prime such that the residual representation is reducible. The -invariant of the fine…
Iwasawa Invariants for elliptic curves over -extensions and Kida's Formula
Debanjana Kundu, Anwesh Ray
This paper aims at studying the Iwasawa -invariant of the -primary Selmer group. We study the growth behaviour of -primary Selmer groups in -power degree extensions ove…
Statistics for Iwasawa invariants of elliptic curves
Debanjana Kundu, Anwesh Ray
We study the average behaviour of the Iwasawa invariants for the Selmer groups of elliptic curves, setting out new directions in arithmetic statistics and Iwasawa theory.