Marco Streng
My research interests include algebraic number theory, algebraic curves, abelian varieties, special values of modular functions, cryptography, divisibility sequences, and computational number theory.
See also the work of my students.
| In preparation | ||
|---|---|---|
| - | Elliptic nets and modular units | |
| - | Rational CM points in the moduli space of curves of genus three
with Pınar Kılıçer | |
| - | Elliptic divisibility sequences over function fields
with Bartosz Naskrȩcki | |
| - | and more | |
| Articles and preprints | ||
| - | Generators of the group of modular units for Γ1(N) over Q
accepted for publication in Annales Henri Lebesgue (2022)
| arXiv |
| - | The CM class number one problem for curves of genus 2
with Pınar KılıçerResearch in Number Theory, Vol. 9 (2023), number 15 |
journal arXiv code thesis |
| - | Generalized class polynomials
with Marc HoubenResearch in Number Theory, Vol. 8 (2022), number 103, pp 1 - 26 | journal |
| - | Primitive divisors of elliptic divisibility sequences over function fields with constant j-invariant
with Bartosz NaskrȩckiJournal of Number Theory, Vol. 213 (2020), pp 152 - 186 |
journal arXiv |
| - | Primes dividing invariants of CM Picard curves
with Pınar Kılıçer, Elisa Lorenzo GarcíaCanadian Journal of Mathematics, Vol. 72 (2020), number 2, pp 480 - 504 |
journal arXiv |
| - | A bound on the primes of bad reduction for CM curves of genus 3
with Pınar Kılıçer, Kristin Lauter, Elisa Lorenzo García, Rachel Newton, Ekin OzmanProc. Amer. Math. Soc., Vol. 148 (2020), pp 2843 - 2861 |
journal arXiv |
| - | Plane quartics over Q with complex multiplication
with Pınar Kılıçer, Hugo Labrande, Raynald Lercier, Christophe Ritzenthaler, Jeroen SijslingActa Arithmetica, Volume 185 (2018), number 2, pp 127 - 156 | journal arXiv |
| - | On polarised class groups of orders in quartic CM fields
with Gaetan BissonMath. Res. Lett., Vol. 24 (2017), number 2, pp 247 - 270 |
arXiv journal |
| - | Schertz style class invariants in dimension 2
with Andreas Engepreprint, 2016 | arXiv |
| - | Examples of CM curves of genus two defined over the reflex field
with Florian BouyerLMS Journal of Computation and Mathematics, Vol. 18 (2015), issue 01, pp 507-538 |
arXiv journal code and data |
| - | Curves in characteristic 2 with non-trivial 2-torsion
with Wouter Castryck and Damiano TestaAdvances in Mathematics of Communications (AMC), Vol. 8 (2014), no. 4, pp 479--495 |
arXiv journal |
| - | Computing Igusa Class Polynomials
Mathematics of Computation, Vol. 83 (2014), pp 275--309
|
arXiv journal |
| - | Abelian surfaces admitting an
(l,l)-endomorphism with Reinier Bröker
and Kristin LauterJournal of Algebra, Vol. 394 (2013), pp 374--396 | arXiv journal |
| - | An explicit version of Shimura's reciprocity law for Siegel modular functions preprint, 2012
|
arXiv Sage code |
| - | Algebraic divisibility sequences
over function fields
with Patrick Ingram, Valéry Mahé, Joseph H. Silverman,
Katherine E. StangeJ. Aust. Math. Soc. 92 (2012), 99-126 |
journal arXiv |
| - | A CM construction for curves of genus 2 with p-rank 1
with Laura Hitt, Gary McGuire, Michael NaehrigJournal of Number Theory, Vol. 131 (2011), No. 5, pp. 920-935 |
journal arXiv errata |
| - | Divisibility sequences for elliptic curves with complex multiplication
Algebra & Number Theory, Vol. 2 (2008), No. 2, pp. 183-208 |
journal
pdf (old) |
| - | Abelian varieties with prescribed embedding degree
with David Freeman and Peter StevenhagenANTS-VIII Banff 2008, Springer Lecture Notes in Computer Science 5011 | journal arXiv |
| Thesis | ||
| - | Complex multiplication of abelian surfaces
PhD thesis, Universiteit Leiden (2010) |
link /
pdf errata / cover stellingen |
