Debanjana Kundu

activity

20182023

most citedStatistics for Iwasawa invariants of elliptic curves

21 citations · 29 across the 11 of their papers we have counts for

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13 papers · 1 filter

math.NT2023

Derived $p$ -adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna $p$ -adic $L$ -function

Francesc Castella, Chi-Yun Hsu, Debanjana Kundu +2

Let $E / Q$ be an elliptic curve and let $p$ be an odd prime of good reduction for $E$ . Let $K$ be an imaginary quadratic field satisfying the classical Heegner hypothesis a…

math.NT2023

Cotorsion of anti-cyclotomic Selmer groups on average

Debanjana Kundu, Florian Sprung

For an elliptic curve, we study how many Selmer groups are cotorsion over the anti-cyclotomic $Z_{p}$ -extension as one varies the prime $p$ or the quadratic imaginary field…

math.NT2023

Structure of fine Selmer groups in abelian p-adic Lie extensions

Debanjana Kundu, Filippo Alberto Edoardo Nuccio Mortarino Majno Di Capriglio, Sujatha Ramdorai

This paper studies fine Selmer groups of elliptic curves in abelian $p$ -adic Lie extensions. A class of elliptic curves are provided where both the Selmer group and the fine Selmer…

math.NT2023

Growth of $p$ -parts of ideal class groups and fine Selmer groups in $Z_{q}$ -extensions with $p \neq = q$

Debanjana Kundu, Antonio Lei

Fix two distinct odd primes $p$ and $q$ . We study " $p \neq = q$ " Iwasawa theory in two different settings. Let $K$ be an imaginary quadratic field of class number 1 such that both $p$ …

math.NT2022★ 1 cited

Studying Hilbert's 10th problem via explicit elliptic curves

Debanjana Kundu, Antonio Lei, Florian Sprung

N.García-Fritz and H.Pasten showed that Hilbert's 10th problem is unsolvable in the ring of integers of number fields of the form $Q (3 p, - q)$ for positive p…

math.NT2022

Heuristics for anti-cyclotomic $Z_{p}$ -extensions

Debanjana Kundu, Lawrence C. Washington

This paper studies Iwasawa invariants in anti-cyclotomic towers. We do this by proposing two heuristics supported by computations. First we propose the Intersection Heuristics: the…

math.NT2022

Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms

Jeffrey Hatley, Debanjana Kundu, Antonio Lei +1

Let $O$ be the ring of integers of a finite extension of $Q_{p}$ . We prove two control theorems for fine Selmer groups of general cofinitely generated modules over…

math.NT2021

Arithmetic Statistics and noncommutative Iwasawa Theory

Debanjana Kundu, Antonio Lei, Anwesh Ray

Let $p$ be an odd prime. Associated to a pair $(E, F_{\infty})$ consisting of a rational elliptic curve $E$ and a $p$ -adic Lie extension $F_{\infty}$ of $\mathbb{Q}…

math.NT2021★ 5 cited

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 $Z_{p}$ -extensions in both the definite and ind…

math.NT2021★ 1 cited

Anticyclotomic $μ$ -invariants of residually reducible Galois Representations

Debanjana Kundu, Anwesh Ray

Let $E$ be an elliptic curve over an imaginary quadratic field $K$ , and $p$ be an odd prime such that the residual representation $E [p]$ is reducible. The $μ$ -invariant of the fine…

math.NT2021★ 1 cited

Iwasawa Invariants for elliptic curves over $Z_{p}$ -extensions and Kida's Formula

Debanjana Kundu, Anwesh Ray

This paper aims at studying the Iwasawa $λ$ -invariant of the $p$ -primary Selmer group. We study the growth behaviour of $p$ -primary Selmer groups in $p$ -power degree extensions ove…

math.NT2021★ 21 cited

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.

math.NT2018

Perfect Powers that are Sums of Squares of an Arithmetic Progression

Debanjana Kundu, Vandita Patel

In this paper, we determine all primitive solutions to the equation $(x + r)^{2} + (x + 2 r)^{2} + \dots + (x + d r)^{2} = y^{n}$ for $2 \leq d \leq 10$ and for $1 \leq r \leq 1 0^{4}$ . We make use of a fa…

Derived p-adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna p-adic L-function

Cotorsion of anti-cyclotomic Selmer groups on average

Structure of fine Selmer groups in abelian p-adic Lie extensions

Growth of p-parts of ideal class groups and fine Selmer groups in Zq​-extensions with p=q

Studying Hilbert's 10th problem via explicit elliptic curves

Heuristics for anti-cyclotomic Zp​-extensions

Control theorems for fine Selmer groups, and duality of fine Selmer groups attached to modular forms

Arithmetic Statistics and noncommutative Iwasawa Theory

Statistics for Anticyclotomic Iwasawa Invariants of Elliptic Curves

Anticyclotomic μ-invariants of residually reducible Galois Representations

Iwasawa Invariants for elliptic curves over Zp​-extensions and Kida's Formula

Statistics for Iwasawa invariants of elliptic curves

Perfect Powers that are Sums of Squares of an Arithmetic Progression

Derived $p$ -adic heights and the leading coefficient of the Bertolini--Darmon--Prasanna $p$ -adic $L$ -function

Growth of $p$ -parts of ideal class groups and fine Selmer groups in $Z_{q}$ -extensions with $p \neq = q$

Heuristics for anti-cyclotomic $Z_{p}$ -extensions

Anticyclotomic $μ$ -invariants of residually reducible Galois Representations

Iwasawa Invariants for elliptic curves over $Z_{p}$ -extensions and Kida's Formula