About meI'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 .
ProjectsI 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.
|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|
|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 curves and gonalities of modular curves, Masters Thesis (Sep 2012)||Univertiteit Leiden Theses||PDF
|Infinitesimally Rigid Construction of the Algebraic Numbers, Bachelor Thesis (June 2010)||Univertiteit Leiden Theses|
Talks & Notes
|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)|