3 papers
math.NT2025
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…
math.NT2025
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…
math.NT2025
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…