G. Fowler

collaborators

5 papers

math.NT2026

AndrÃ©'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

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

Guy Fowler

We prove an AndrÃ©--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.NT2025

Modular Zilber-Pink for geometrically generic varieties

Vahagn Aslanyan, Sebastian EteroviÄ, Sebastian Eterović +1

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.NT2025

Multiplicative relations among differences of singular moduli

Vahagn Aslanyan, Sebastian EteroviÄ, Guy Fowler

Let $n \in Z_{> 0}$ . We prove that there exist a finite set $V$ and finitely many algebraic curves $T_{1}, \dots, T_{k}$ with the following property: if $(x_1, \ldots, x_n, y)…

AndrÃ©'s theorem and weakly bounded height

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

Modular Zilber-Pink for geometrically generic varieties

Distinct differences of singular moduli

Multiplicative relations among differences of singular moduli

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