activity
20242026
collaborators

5 papers

math.NT2026

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…

math.NT2025

Equivariant Iwasawa Theory for Ritter-Weiss Modules and Applications

Rusiru Gambheera, Cristian D. Popescu

We consider a finite, abelian, CM extension of a totally real number field , and construct a module , where i…

math.NT2025

Iwasawa theory for branched -towers of finite graphs and Ihara zeta and -functions

Rusiru Gambheera, Daniel Vallières

We revisit the theory of Ihara -functions in the context initially studied by Bass and Hashimoto and more recently by Zakharov. In particular, we study if the Artin formalism is…

math.NT2025

An Integral Equivariant Refinement of the Iwasawa Main Conjecture for Totally Real Fields

Rusiru Gambheera

For an abelian, CM extension of a totally real number field , we improve upon the reformulation of the Equivariant Tamagawa Number Conjecture for the Artin motive $h_{H/F}…

math.NT2024

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}(…