Jan Vonk

activity

20122026

most citedComputing overconvergent forms for small primes

7 citations · 14 across the 6 of their papers we have counts for

collaborators

8 papers

math.NT2026

Arithmetic intersections on non-split Cartan modular curves

Jonathan Love, Elie Studnia, Jan Vonk

Let $p$ be a prime number, and let $Δ_{1}, Δ_{2} < 0$ be two coprime fundamental discriminants. When $p$ splits in $Q (Δ_{1})$ and $Q (Δ_{2})$ the height pairi…

math.NT2021★ 2 cited

The values of the Dedekind-Rademacher cocycle at real multiplication points

Henri Darmon, Alice Pozzi, Jan Vonk

The values of the so-called {\em Dedekind--Rademacher cocycle} at certain real quadratic arguments are shown to be global $p$ -units in the narrow Hilbert class field of the associa…

math.NT2021★ 5 cited

Quadratic Chabauty for modular curves: Algorithms and examples

Jennifer S. Balakrishnan, Netan Dogra, Jan Steffen Müller +2

We describe how the quadratic Chabauty method may be applied to explicitly determine the set of rational points on modular curves of genus $g > 1$ whose Jacobians have Mordell--Weil…

math.NT2019

Two recent p-adic approaches towards the (effective) Mordell conjecture

Jennifer S. Balakrishnan, Alex J. Best, Francesca Bianchi +4

We give an introductory account of two recent approaches towards an effective proof of the Mordell conjecture, due to Lawrence--Venkatesh and Kim. The latter method, which is usual…

math.NT2017

Explicit Chabauty-Kim for the Split Cartan Modular Curve of Level 13

Jennifer S. Balakrishnan, Netan Dogra, J. Steffen Müller +2

We extend the explicit quadratic Chabauty methods developed in previous work by the first two authors to the case of non-hyperelliptic curves. This results in an algorithm to compu…

math.NT2015

Stable models of Hecke operators

Jan Vonk

We investigate the geometry of correspondences between curves, and prove that correspondences over a non-Archimedean valued field have potentially stable reduction, generalising an…

math.NT2014★ 7 cited

Computing overconvergent forms for small primes

Jan Vonk

In this note, we construct explicit bases for spaces of overconvergent $p$ -adic modular forms when $p = 2, 3$ and study their stability under the Atkin operator. The resulting extensi…

math.GR2012

Normal subgroups of groups acting on trees and automorphism groups of graphs

Rögnvaldur G. Möller, Jan Vonk

Let $T$ be a tree and $e$ an edge in $T$ . If $C$ is a component of $T ∖ e$ and both $C$ and its complement are infinite we say that $C$ is a half-tree. The main result of th…