Anwesh Ray

collaborators

2 papers

math.NT2020

Constructing Galois representations ramified at one prime

Anwesh Ray

Let $n > 1$ , $e \geq 0$ and a prime number $p \geq 2^{n + 2 + 2 e} + 3$ , such that the index of regularity of $p$ is $\leq e$ . We show that there are infinitely many irreducible Galois repres…

math.NT2018

Constructing Certain Special Analytic Galois Extensions

Anwesh Ray

For every prime $p \geq 5$ for which a certain condition on the class group $Cl (Q (μ_{p}))$ is satisfied, we construct a $p$ -adic analytic Galois extension of the infin…