Maarten Derickx
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 .
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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 | |
| 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 |
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) |