6 papers
Shapes of tame abelian number fields
Anwesh Ray
The shape of a number field of degree is the similarity class of the lattice obtained by projecting orthogonally away from the rational line in Minkows…
Arithmetic invariants of torus links
Anwesh Ray, Tanushree Shah
The classical analogy between knots and primes motivates the study of Alexander polynomials through an arithmetic perspective. In this article we study the two-parameter family of…
On the distribution of shapes of pure quartic number fields
Sudipa Das, Sushant Kala, Arunabha Mukhopadhyay +1
The shape of a number field is a subtle arithmetic invariant arising from the geometry of numbers. It is defined as the equivalence class of the lattice of integers with respect to…
Deformations of reducible Galois representations with large Selmer -rank
Eknath Ghate, Anwesh Ray
Let be a prime number. In this paper, we construct Galois representations associated with modular forms for which the dimension of the -torsion in the Bloch-Kato Selme…
Iwasawa theory and the representations of finite groups
Anwesh Ray
In this note, I develop a representation-theoretic refinement of the Iwasawa theory of finite Cayley graphs. Building on analogies between graph zeta functions and number-theoretic…
On the Iwasawa theory of Cayley graphs
Sohan Ghosh, Anwesh Ray
This paper explores Iwasawa theory from a graph theoretic perspective, focusing on the algebraic and combinatorial properties of Cayley graphs. Using representation theory, we anal…