Jonah Leshin

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20112026

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math.NT2013

On S3-extensions with infinite class field tower

Jonah Leshin

We construct a class of $S_{3}$ -extensions of $\Q$ with infinite 3-class field tower in which only three primes ramify. As an application, we obtain an $S_{3}$ -extension of $\Q$ with i…

math.NT2012

Three-Dimensional Solvable Artin Representations Ramified at One Prime

Jonah Leshin

We classify the possibilities for the fixed field of the kernel of an irreducible three-dimensional Artin representation of $\Q$ with solvable image ramified at one prime by using…

math.NT2011

Solvable Number Field Extensions of Bounded Root Discriminant

Jonah Leshin

Let $K$ be a number field and $d_{K}$ the absolute value of the discrimant of $K / Q$ . We consider the root discriminant $d_{L}^{\frac{1}{[ L : Q ]}}$ of extensions $L / K$ .…