3 citations · 5 across the 13 of their papers we have counts for
15 papers
Combs and complex structures on the six-sphere
Jeff Viaclovsky
We construct complex structures on the six-sphere with arbitrarily large local Kuranishi dimension. As a corollary, we find the same phenomenon holds for the smooth manifold…
On a conjecture of Andrews and almost alternating sign patterns
Jayashree Kalita, Debanjana Kundu, Matthias Storzer +1
In this paper, we prove a sign phenomenon first observed by Andrews for certain -series from Ramanujan's Lost Notebook. For three of the series considered by Andrews, namely $v_…
Euler systems and the symmetric square of a Hida family
Debanjana Kundu, Jishnu Ray, Stefano Vigni
Let be a prime number. We build a non-trivial Euler system for the symmetric square of a -adic Hida family of modular forms interpolating the Euler system constructed b…
Structure of (Fine) Mordell--Weil Groups
Rusiru Gambheera, Debanjana Kundu
In this article we study the algebraic structure of fine Mordell--Weil groups, plus/minus Mordell--Weil groups, Selmer groups, and plus/minus Selmer groups in the cyclotomic $\math…
Mazur's Growth Number Conjecture in the Rank One Case
Debanjana Kundu, Antonio Lei
Let be a prime number. Let be an elliptic curve with good ordinary reduction at . Let be an imaginary quadratic field where splits, and…
Hilbert's 10th Problem via Mordell curves
Somnath Jha, Debanjana Kundu, Dipramit Majumdar
We show that for -th of all primes , Hilbert's 10-th Problem is unsolvable for . We also show that there is an infinite set of square free…
Elliptic curves of conductor , quadratic twists, and Watkins' conjecture
Jeffrey Hatley, Debanjana Kundu
Let be an elliptic curve. By the modularity theorem, it admits a surjection from a modular curve , and the minimal degree among such…
The first level of -extensions and compatibility of heuristics
Debanjana Kundu, Lawrence C. Washington
Let be an imaginary quadratic field in which the odd prime does not split. When the -part of the class group of is cyclic, we describe the possible structures for th…
On the -ranks of class groups of certain Galois extensions
Ufuoma Asarhasa, Rusiru Gambheera, Debanjana Kundu +2
Let be an odd prime, let be a prime with , and let be a primitive -th root of unity. We study the -rank of the class group of $\mathbb{Q}(ζ…
Beyond Endoscopy via Poisson Summation for GL(2,K)
Melissa Emory, Malors Espinosa-Lara, Debanjana Kundu +1
In the early 2000's, R. Langlands proposed a strategy called Beyond Endoscopy to attack the principle of functoriality, which is one of the central questions of present day mathema…
On a conjecture of Mazur predicting the growth of Mordell--Weil ranks in -extensions
Rylan Gajek-Leonard, Jeffrey Hatley, Debanjana Kundu +1
Let be an odd prime. We study Mazur's conjecture on the growth of the Mordell--Weil ranks of an elliptic curve over -extensions of an imaginary qua…
Non-vanishing modulo of Hecke -values over imaginary quadratic fields
Debanjana Kundu, Antonio Lei
Let and be two distinct odd primes. Let be an imaginary quadratic field over which and are both split. Let be a Hecke character over of infinity type $(…
-invariant stability in families of modular Galois representations
Jeffrey Hatley, Debanjana Kundu
Consider a family of modular forms of weight 2, all of whose residual Galois representations are isomorphic. It is well-known that their corresponding Iwasawa -invari…
Rank Jumps and Growth of Shafarevich--Tate Groups for Elliptic Curves in -Extensions
Lea Beneish, Debanjana Kundu, Anwesh Ray
In this paper, we use techniques from Iwasawa theory to study questions about rank jump of elliptic curves in cyclic extensions of prime degree. We also study growth of the -pri…
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…