M. Papikian

activity

19992026

most citedOn Garland's vanishing theorem for

SL_{n}

4 citations · 15 across the 34 of their papers we have counts for

collaborators

39 papers

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

Non-Archimedean Poincaré series and geodesics on the Bruhat-Tits tree

Milan Berger-Guesneau, Mihran Papikian

Adapting a construction of Kurihara in the setting of Drinfeld modular forms, we define Poincaré series on the Drinfeld half-plane $Ω$ . These series are built from products of mero…

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

Corrigendum to "Isomorphism classes of Drinfeld modules over finite fields"

Valentijn Karemaker, Jeffrey Katen, Mihran Papikian

In this note we provide corrections to Theorem 5.4 of the paper ``Isomorphism classes of Drinfeld modules over finite fields'', arXiv:2209.15033. The main theorems of this paper, T…

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.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…