H. Spencer

collaborators

4 papers

math.AG2026

Simply branched covers of curves and wild conductor exponents

Harry Spencer

We use deformation theory to show that a cover of smooth, projective, geometrically connected curves $I ¨ : C \to D$ over a $p$ -adic field can be $p$ -adically perturbed to obtain…

math.NT2026

Wild conductor exponents of curves

Harry Spencer

We give an explicit formula for wild conductor exponents of plane curves over $Q_{p}$ in terms of standard invariants of explicit extensions of $Q_{p}$ , generalising…

math.NT2026

Motivic pieces of curves: $L$ -functions and periods

Harry Spencer

Given a curve $C$ over a number field $K$ equipped with the action of a finite group $G$ by $K$ -automorphisms, one obtains a factorisation of $L (C, s)$ into a product of $L$ -functio…

math.NT2025

Constructing families of 3-Selmer companions

Harry Spencer

Mazur and Rubin introduced the notion of $n$ -Selmer companion elliptic curves and gave several examples of pairs of non-isogenous Selmer companions. We construct several pairs of f…

Simply branched covers of curves and wild conductor exponents

Wild conductor exponents of curves

Motivic pieces of curves: L-functions and periods

Constructing families of 3-Selmer companions

Motivic pieces of curves: $L$ -functions and periods