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 Γ^{1}(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 jinvariant
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 507538 
arXiv journal code and data 
  Curves in characteristic 2 with nontrivial 2torsion
with Wouter Castryck and Damiano TestaAdvances in Mathematics of Communications (AMC), Vol. 8 (2014), no. 4, pp 479495 
arXiv journal 
  Computing Igusa Class Polynomials
Mathematics of Computation, Vol. 83 (2014), pp 275309

arXiv journal 
  Abelian surfaces admitting an
(l,l)endomorphism with Reinier Bröker
and Kristin LauterJournal of Algebra, Vol. 394 (2013), pp 374396  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), 99126 
journal arXiv 
  A CM construction for curves of genus 2 with prank 1
with Laura Hitt, Gary McGuire, Michael NaehrigJournal of Number Theory, Vol. 131 (2011), No. 5, pp. 920935 
journal arXiv errata 
  Divisibility sequences for elliptic curves with complex multiplication
Algebra & Number Theory, Vol. 2 (2008), No. 2, pp. 183208 
journal
pdf (old) 
  Abelian varieties with prescribed embedding degree
with David Freeman and Peter StevenhagenANTSVIII 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 