G. Fowler

activity

20202026

collaborators

5 papers

math.NT2026

André's theorem and weakly bounded height

Guy Fowler

Let $V \subset A^{2} (C)$ be an algebraic curve such that $deg X \neq = deg Y$ , where $X, Y$ denote the coordinate functions on $\mathbb{A}^2(\mathbb…

math.NT2025

Modular Zilber-Pink for geometrically generic varieties

Vahagn Aslanyan, Sebastian Eterović, Guy Fowler

We prove that the modular Zilber--Pink conjecture (in Pink's formulation in terms of unlikely intersections) holds for all subvarieties $V$ of $Y (1)^{n}$ for which no proje…

math.NT2025

Distinct differences of singular moduli

Guy Fowler, Emanuele Tron

Let $E_{1}, E_{2} / C$ be non-isomorphic elliptic curves with complex multiplication. We prove that the pair $(E_{1}, E_{2})$ is characterised, up to isomorphism, by the differenc…

math.NT2024

Some uniform effective results on André--Oort for sums of powers in $C^{n}$

Guy Fowler

We prove an André--Oort-type result for a family of hypersurfaces in $C^{n}$ that is both uniform and effective. Let $K_{*}$ denote the single exceptional imaginary quadratic…

math.NT2020

Triples of singular moduli with rational product

Guy Fowler

We show that all triples $(x_{1}, x_{2}, x_{3})$ of singular moduli satisfying $x_{1} x_{2} x_{3} \in Q^{\times}$ are "trivial". That is, either $x_{1}, x_{2}, x_{3} \in Q$ ; some $x_…

André's theorem and weakly bounded height

Modular Zilber-Pink for geometrically generic varieties

Distinct differences of singular moduli

Some uniform effective results on André--Oort for sums of powers in Cn

Triples of singular moduli with rational product

Some uniform effective results on André--Oort for sums of powers in $C^{n}$