Jonathan R. Love

activity

20242026

collaborators

4 papers

math.AG2026

Hypersurfaces passing through the Galois orbit of a point

Shamil Asgarli, Jonathan Love, Chi Hoi Yip

Asgarli, Ghioca, and Reichstein proved that if $K$ is a field with $∣ K ∣ > 2$ , then for any positive integers $d$ and $n$ , and separable field extension $L / K$ with degree $m=\binom{n+…

math.NT2026

Arithmetic intersections on non-split Cartan modular curves

Jonathan Love, Elie Studnia, Jan Vonk

Let $p$ be a prime number, and let $I^_{1}, I^_{2} < 0$ be two coprime fundamental discriminants. When $p$ splits in $Q (I^_{1})$ and $Q (I^_{2})$ the height p…

math.NT2025

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,…

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…

Hypersurfaces passing through the Galois orbit of a point

Arithmetic intersections on non-split Cartan modular curves

Supersingular elliptic curves, quaternion algebras and applications to cryptography

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

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