Jonathan R. Love

activity

20232026

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math.NT2026

Generating sets for maximal orders in rational quaternion algebras

Kirsten Eisenträger, Eyal Z. Goren, Annamaria Iezzi +6

Given a maximal order $O$ in a rational definite quaternion algebra, and a prime $ℓ$ coprime to the discriminant of $O$ , this paper considers subsets of $\…

math.NT2026

Arithmetic intersections on non-split Cartan modular curves

Jonathan Love, Elie Studnia, Jan Vonk

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