Jonathan R. Love

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20232026

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math.NT2024

On $ℓ$ -torsion in degree $ℓ$ superelliptic Jacobians over $F_{q}$

Wanlin Li, Jonathan Love, Eric Stubley

We study the $ℓ$ -torsion subgroup in Jacobians of curves of the form $y^{ℓ} = f (x)$ for irreducible $f (x)$ over a finite field $F_{q}$ of characteristic $p \neq \ell…

math.NT2024

Supersingular elliptic curves, quaternion algebras and applications to cryptography

Eyal Z. Goren, Jonathan R. Love

This paper contains a survey of supersingular isogeny graphs associated to supersingular elliptic curves and their various applications to cryptography. Within limitation of space,…

On ℓ-torsion in degree ℓ superelliptic Jacobians over Fq​

Supersingular elliptic curves, quaternion algebras and applications to cryptography

On $ℓ$ -torsion in degree $ℓ$ superelliptic Jacobians over $F_{q}$