3 papers
math.NT2026
Explicit isomorphisms for a Herr-type complex over a metabelian extension
Anand Chitrao, Aditya Karnataki, Jishnu Ray
Let be a Banach algebra over whose residue fields are finite extensions of . Given an arithmetic family of Galois representations, i.e., a fini…
math.NT2025
Unveiling Arithmetic Statistics of Congruent Number Elliptic Curves via Data Science and Machine Learning
Priyavrat Deshpande, Aditya Karnataki, Pratiksha Shingavekar
This article presents a comprehensive data-scientific investigation into the arithmetic statistics of congruent number elliptic curves, leveraging a dataset of square-free integers…
math.NT2025
On the Iwasawa invariants of Artin representations
Aditya Karnataki, Anwesh Ray
We study Iwasawa invariants associated to Selmer groups of Artin representations, and criteria for the vanishing of the associated algebraic Iwasawa invariants. The conditions obta…