M. Papikian

activity

20242026

collaborators

5 papers

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 $I ¨ , I ¨ $ be supersingular Drinfeld modules of rank $r \geq 2$ in $A$ -characteristic $p$ . We…

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

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 ideal class groups of totally degenerate number rings

Ruben Hambardzumyan, Mihran Papikian

Let $I ¨ (x) \in Z [x]$ be a monic polynomial whose roots are distinct integers. We study the ideal class monoid and the ideal class group of the ring $Z [x] / (I ¨ (x))$ .…

math.NT2024

Ogg's conjectures over function fields

In the early 1970s, Andrew Ogg made several conjectures about the rational torsion points of elliptic curves over $Q$ and the Jacobians of modular curves. These conjecture…