About me

I'm Maarten Derickx. I'm currently a postdoc at the university of Groningen and will join the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation at MIT sometime in 2018. I received my Ph.D. at the universities of Leiden, Bordeaux and Milano as an joint Algant doctorate .

E-mail: maarten@mderickx.nl
arXiv: arxiv.org/a/derickx_m_1
GitHub: github.com/koffie
Maarten

Projects

I help with the developement of Sage and maintain the sage server at Leiden university. I keep all my reusable sage and magma functions in two separate packages called MDSage (documentation) and MDMagma. Together with Solomon Vishkautsan I wrote a magma package called Chabauty that helps with doing explicit Chabauty computations.

Publications

Title Journal Preprint
Torsion of elliptic curves over cyclic cubic fields - with Filip Najman arXiv
Groups of generalized G-type and applications to torsion subgroups of rational elliptic curves over infinite extensions of Q - with Harris B. Daniels and Jeffrey Hatley arXiv
Torsion points on elliptic curves over number fields of small degree - with Sheldon Kamienny, William Stein and Michael Stoll arXiv
Computing Galois representations and equations for modular curves XH(l) - with Mark van Hoeij and Jinxiang Zeng arXiv
Rational families of 17-torsion points of elliptic curves over number fields (2018) with Barry Mazur and Sheldon Kamienny Contemporary Mathematics PDF
Torsion subgroups of elliptic curves over quintic and sextic number fields (2017) with Andrew V. Sutherland Proceedings of the AMS arXiv
Gonality of the modular curve X1(N) (2014) with Mark van Hoeij J. of Algebra arXiv
Torsion points on elliptic curves over number fields of small degree, Ph.D. Thesis (Sep 2016) Universiteit Leiden Theses PDF
Torsion points on elliptic cruves and gonalities of modular curves, Masters Thesis (Sep 2012) Univertiteit Leiden Theses PDF
code
Infinitesimally Rigid Construction of the Algebraic Numbers, Bachelor Thesis (June 2010) Univertiteit Leiden Theses PDF

Talks & Notes

Date Subject Where Notes/Slides
05-06-2014 The rational group structure of modular Jacobians. LMFDB Workshop, Warwick Slides (pdf)
30-10-2013 Finding all points of degree < gonality on Y1(N). Harvard Number Theory Seminar Slides (pdf)
18-09-2013 Computing modular units and gonalities of modular curves. Elliptic Curve Cryptography Workshop 2013 Slides (pdf)
23-07-2013 Computing modular Galois representations - the modulo p approach (after Jinxiang Zeng) Sage Days 51: Algorithms in Arithmetic Geometry, Lorentz Centre Leiden Slides (pdf)
01-03-2013 Gonalities of modular curves. Intercity Seminar "Gonalteiten dag", Utrecht Slides (pdf)
28-09-2012 Torsion points on Elliptic curves. Intercity Number Theory Seminar, Leiden Slides (pdf)
25-09-2012 Gonalities of modular curves. Masters defense. Universiteit Leiden Slides (pdf)
The representability of Γ1(N),
an explicit construction of Y1(N).
Algebraic Geometry Seminar (Leiden) Notes (pdf)