Stephanie Chan

collaborators

3 papers

math.NT2025

A new pointwise bound for $3$ -torsion of class groups

Stephanie Chan, Peter Koymans

Ellenberg--Venkatesh proved in 2007 that $h_{3} (d) ≪_{I^} µ∣ d ∣^{1/3 + I^µ}$ , where $h_{3} (d)$ denotes the size of the $3$ -torsion of the class group of $Q (d)$ . We improve…

math.NT2025

Serre's problem for multiple conics

Stephanie Chan, Peter Koymans, Nick Rome

We prove the refined Loughran--Smeets conjecture of Loughran--Rome--Sofos for a wide class of varieties arising as products of conic bundles. One interesting feature of our varieti…

math.NT2024

$6$ -torsion and integral points on quartic threefolds

Stephanie Chan, Peter Koymans, Carlo Pagano +1

We prove matching upper and lower bounds for the average of the 6-torsion of class groups of quadratic fields. Furthermore, we count the number of integer solutions on an affine qu…

A new pointwise bound for 3-torsion of class groups

Serre's problem for multiple conics

6-torsion and integral points on quartic threefolds

A new pointwise bound for $3$ -torsion of class groups

$6$ -torsion and integral points on quartic threefolds