Stephanie Chan

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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…

math.NT2024

Averages of multiplicative functions along equidistributed sequences

Stephanie Chan, Peter Koymans, Carlo Pagano +1

For a general family of non-negative functions matching upper and lower bounds are established for their average over the values of any equidistributed sequence.

A new pointwise bound for 3-torsion of class groups

Serre's problem for multiple conics

6-torsion and integral points on quartic threefolds

Averages of multiplicative functions along equidistributed sequences

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

$6$ -torsion and integral points on quartic threefolds