J. Rouse

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20242026

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math.NT2024

Near coincidences and nilpotent division fields

Harris Daniels, Jeremy Rouse

Let $E / Q$ be an elliptic curve. We say that $E$ has a near coincidence of level $(n, m)$ if $m ∣ n$ and $Q (E [n]) = Q (E [m], ζ_{n})$ . We classify near coi…

math.NT2024

Minimal Subgroups of $GL_{2} (Z_{S})$

Harris Daniels, Jeremy Rouse

Let $E$ be an elliptic curve over a number field $L$ and for a finite set $S$ of primes, let $ρ_{E, S} : Gal (L / L) \to GL_{2} (Z_{S})$ be the $S$ -adic…

Near coincidences and nilpotent division fields

Minimal Subgroups of GL2​(ZS​)

Minimal Subgroups of $GL_{2} (Z_{S})$