M. Manes

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math.NT2026

Local fields, iterated extensions, and Julia Sets

Pui Hang Lee, Michelle Manes, Nha Xuan Truong

Let $K$ be a field complete with respect to a discrete valuation $v$ of residue characteristic $p$ . For $I^\pm \in K$ , let $K_{\infty}$ be the extension obtained by adjoining all iterate…

math.NT2024

Some Applications of Dynamical Belyi Polynomials

Jacqueline Anderson, Michelle Manes, Bella Tobin

We give necessary and sufficient conditions for post-critically finite polynomials to have persistent bad reduction at a given prime. We also answer in the negative a pair of quest…