Giacomo Micheli

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20242026

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math.NT2026

Stabilization of isogeny spaces between supersingular Drinfeld modules

Giacomo Micheli, Mihran Papikian

Let $p$ be a prime of degree $d$ in $A = F_{q} [T]$ and let $ϕ, ψ$ be supersingular Drinfeld modules of rank $r \geq 2$ in $A$ -characteristic $p$ . We st…

math.NT2025

On the Characteristic Polynomial of Linearized Polynomials

Luca Bastioni, Giacomo Micheli, Shujun Zhao

Let $k$ be a finite field, and $L$ be a $q$ -linearized polynomial defined over $k$ of $q$ -degree $r$ ( $L = \sum_{i = 0}^{r} a_{i} Z^{q^{i}}$ , with $a_{i} \in k$ ). This paper provides an algorithm…

math.NT2024

Square patterns in dynamical orbits

Vefa Goksel, Giacomo Micheli

Let $q$ be an odd prime power. Let $f \in F_{q} [x]$ be a polynomial having degree at least $2$ , $a \in F_{q}$ , and denote by $f^{n}$ the $n$ -th iteration of $f$ . Let $χ$ …