Giacomo Micheli

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20182026

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math.NT2026

Skew cyclic codes through Drinfeld modules

Giacomo Micheli, Mihran Papikian

We construct skew cyclic codes in the rank metric from the torsion of the supersingular Drinfeld module $ϕ_{T} = t + τ^{n}$ over $F_{q^{r}}$ , where $t$ is a root of a monic irreduci…

math.NT2026

A General Construction of Codes from Drinfeld Modules

Alessandro Giannoni, Giacomo Micheli, Mihran Papikian

We construct additive rank-metric and sum-rank-metric codes from Drinfeld modules by restricting bounded-degree morphisms to prime-to-characteristic torsion. For supersingular Drin…

math.NT2026

Rank metric codes from Drinfeld modules

Giacomo Micheli, Mihran Papikian

We establish a connection between Drinfeld modules and rank-metric codes, focusing on the case of semifield codes. Our method constructs rank-metric codes from linear subspaces of…

math.NT2025

On the Riemann Hypothesis for Drinfeld Modules

Giacomo Micheli

In this paper we provide a short proof of the Riemann Hypothesis for Drinfeld modules which uses only basic notions from the theory of global function fields and of Drinfeld module…

math.NT2018

On rectangular unimodular matrices over the algebraic integers

Giacomo Micheli, Violetta Weger

Let $n$ and $m$ be positive integers such that $n < m$ . In this paper we compute the density of rectangular unimodular $n$ by $m$ matrices over the ring of algebraic integers of a nu…