Maarten Derickx
About meI'm Maarten Derickx. I'm currently a postdoc at the university of Zagreb. I received my Ph.D. at the universities of Leiden, Bordeaux and Milano as part of the joint Algant doctorate program.
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Software Projects
Together with Barinder Banwait I wrote the programs isogeny-primes to study isogenies of elliptic curves over number fields and quadratic-torsion for determining the posible torsion groups of elliptic curves over different quadratic number fields. Together with Solomon Vishkautsan I wrote a magma package called Chabauty that helps with doing explicit Chabauty computations. I keep all my personal reusable sage and magma functions in two separate packages called MDSage (documentation) and MDMagma.Publications
Most of my publications can be found on arXiv. The ones that are not are in the table below:
| Title | Journal | Preprint |
|---|---|---|
| Rational families of 17-torsion points of elliptic curves over number fields (2018) with Barry Mazur and Sheldon Kamienny | Contemporary Mathematics | |
| 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 code |
| Infinitesimally Rigid Construction of the Algebraic Numbers, Bachelor Thesis (June 2010) | Univertiteit Leiden Theses |
The rest of my articles are on arXiv:
Talks & Slides & Notes
This section is currently very outdated.
| 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) |