Institute for Advanced Study
1 Einstein Drive
Princeton, New Jersey
08540 USA
E-mail:
vonk [-at-] ias [dot] edu
I am a member at the IAS in Princeton.
My research is in number theory. CV
Publications
A. Lauder, J. Vonk Computing p-adic L-functions of totally real fields
Preprint (pdf)
J. Balakrishnan, A. Best, F. Bianchi, B. Lawrence, N. Triantafillou, S. Müller, J. Vonk Two recent p-adic approaches towards the (effective) Mordell conjecture
Preprint (pdf)
H. Darmon, A. Pozzi, J. Vonk Gross-Stark units, Stark-Heegner points, and derivatives of p-adic Eisenstein families
Preprint (pdf)
J. Balakrishnan, N. Dogra, S. Müller, J. Tuitman, J. Vonk Explicit Chabauty-Kim for the non-split Cartan modular curve of level 13
Annals of Math. (2) Vol. 189, No. 3 (2019), 885-944 (pdf | journal)
H. Darmon, J. Vonk Ring class fields of real quadratic fields and cuspidal values of rigid meromorphic cocycles
Preprint (pdf)
H. Darmon, J. Vonk Singular moduli for real quadratic fields: A rigid analytic approach
Preprint (pdf)
J. Vonk Modular eigenforms at the boundary of weight space
Research in Number Theory 4:23 (2018) (pdf | journal)
J. Vonk Crystalline cohomology of towers of curves
Int. Math. Res. Not. (IMRN) (pdf | journal)
J. Vonk Computing overconvergent forms for small primes
LMS J. Comp. Volume 18, Issue 1 (2015), 250-257 (pdf | journal)
R. Möller, J. Vonk Normal subgroups of groups acting on trees and automorphism groups of graphs
Journal of Group Theory, Volume 15, Issue 6 (2012), 831-850 (pdf | journal)
Seminars and notes
Rational points on curves: A p-adic and computational perspective. Oxford, 24 - 29 September (2012)
I co-organised (with Henri Darmon, Minhyong Kim and Alan Lauder) a conference, funded by the ERC.
The conference website can be found here, with notes from all the talks. A picture of (most) participants.
Deformation week Oxford, 16 - 19 April (2013)
I co-organised (with Emily Cliff and Kristian Strømmen) a workshop, funded by the Mathematical Institute in Oxford.
The webpage is here.
Perverse sheaves and the decomposition theorem Oxford, Michaelmas 2014
Balázs Szendrői and I ran a perversity seminar, the webpage can be found here.
Jacquet-Langlands and cyclic base change Oxford, Michaelmas 2014
Minhyong Kim, Andrew Wiles, and I ran an automorphic seminar, the webpage can be found here.
Rigid meromorphic cocycles Barcelona, June 2017 Notes from a series of lectures on joint work with Henri Darmon.
The Gross-Zagier formula Oxford, Michaelmas 2018
Netan Dogra and I ran a seminar on Gross-Zagier, the webpage can be found here.
Overconvergent modular forms and their explicit arithmetic Bordeaux, June 2019 Notes from a mini-course at Iwasawa 2019.
Singular moduli for real quadratic fields Princeton, Fall 2019 Webpage for a learning seminar at IAS / Princeton University.
Henri Darmon and I wrote a Magma package to compute spaces of rigid meromorphic cocycles,
as introduced in our paper 'Singular moduli for real quadratic fields'. It computes the following objects:
Rigid meromorphic cocycles attached to an RM point.
Their cuspidal values.
Their RM values.
Stark-Heegner points on elliptic curves, coming from to their parabolic lifting obstructions.
This code builds on the code of Alan Lauder, and some parts of it were also written jointly with him.
It has three main branches, which compute:
Spaces of overconvergent modular forms at integer weights, for any prime p, as well as routines
to compute eigenforms, projections, and Chow-Heegner points on elliptic curves.
Based on the paper 'Computing overconvergent forms for small primes'
Spaces of overconvergent modular forms at the boundary of weight space.
Based on the paper 'Modular eigenforms at the boundary of weight space'
p-Adic L-functions of totally real fields.
Based on the paper 'Computing p-adic L-functions of totally real fields'