Markos Karameris

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20192026

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math.NT2026

Hecke Subalgebras and Local Newforms for the Metaplectic Double Cover of $SL_{2} (Q_{p})$

Ehud Moshe Baruch, Markos Karameris, Soma Purkait

Let $p$ be an odd prime, and let $SL_{2} (Z_{p})$ and $K_{0} (p^{n})$ denote the inverse images of $SL_{2} (Z_{p})$ and the congruence su…

math.NT2023

Eigenspaces of Newforms with Nontrivial Character

Markos Karameris

Let $S_{k} (Γ_{0} (N), χ)$ denote the space of holomorphic cuspforms with Dirichlet character $χ$ and modular subgroup $Γ_{0} (N)$ . We will characterize the space of newforms $S_{k}^{new}(…

math.NT2021

A computational proof of the existence of the Dual Isogeny

M. Karameris

For $E$ an elliptic curve over a perfect field $K$ , we present a proof of the existence of the dual isogeny $ϕ^$ using computational methods linked to Vélu's formulae instead of…

Hecke Subalgebras and Local Newforms for the Metaplectic Double Cover of SL2​(Qp​)

Eigenspaces of Newforms with Nontrivial Character

A computational proof of the existence of the Dual Isogeny

Hecke Subalgebras and Local Newforms for the Metaplectic Double Cover of $SL_{2} (Q_{p})$