Sam Frengley

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20242026

most citedGeneric models for genus 2 curves with real multiplication

1 citations · 1 across the 8 of their papers we have counts for

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math.AG2026

Tschirnhausen bundles of sextic covers of $P^{1}$

Sam Frengley, Sameera Vemulapalli

A degree $d$ genus $g$ cover of the complex projective line by a smooth irreducible curve $C$ yields a vector bundle on the projective line by pushforward of the structure sheaf. W…

math.NT2026

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups

Sam Frengley, Dylan Laird

We exhibit examples of geometrically simple abelian surfaces $A / Q$ with conductor bounded by $(10000)^{2}$ whose Tate--Shafarevich groups contain a subgroup isomorphic to…

Tschirnhausen bundles of sextic covers of P1

Modular abelian surfaces of small conductor with nontrivial Tate--Shafarevich groups

Tschirnhausen bundles of sextic covers of $P^{1}$