6 papers
Iwasawa theory of (directed) Cayley graphs
Debanjana Kundu, Katharina Müller, Alexis newton +2
In this article, we prove the Defect Conjecture for Cayley graphs of abelian groups, dihedral groups, and groups of the form $\mathbb{Z}/p\mathbb{Z} \rtimes \mathbb{Z}/(p-1)\mathbb…
Understanding ramification of branched {}-covers
Debanjana Kundu, Katharina Mueller
We provide a combinatorial approach to counting the number of spanning trees at the -th layer of a branched -cover of a finite connected graph . Our me…
Iwasawa Theory of Elliptic Curves in Quadratic Twist Families
Debanjana Kundu, Katharina Müller
In this article, we use two different approaches -- one algebraic and the other analytic -- to study the variation of Iwasawa invariants of rational elliptic curves in some quadrat…
Murmurations of Modular Forms and -power Coefficients
Debanjana Kundu, Katharina Mueller
We extend the work of N. Zubrilina on murmuration of modular forms to the case when prime-indexed coefficients are replaced by squares of primes. Our key observation is that the sh…
Class Groups and Selmer Groups in Special Families
Abhishek, Debanjana Kundu
We explore the relationship between (3-isogeny induced) Selmer group of an elliptic curve and the (3 part of) the ideal class group, over certain non-abelian number fields.
Iwasawa Theory of graphs and their duals
Debanjana Kundu, Katharina Müller
In this article, we study questions pertaining to ramified -extensions of a finite connected graph . We also study the Iwasawa theory of dual graphs.