Fachbereich Mathematik

Dr. Simon Keicher


You can reach me under


  1. On blowing up the weighted projective plane (with J. Hausen and A. Laface). To appear in Mathematische Zeitschrift, arXiv.
  2. A software package to compute automorphisms of graded algebras. To appear in Journal of Software for Algebra and Geometry. arXiv.
  3. Computing resolutions of quotient singularities (with M. Donten-Bury). Journal of Algebra, vol. 472, 15 February 2017, 546-572.
  4. A test for monomial containment (with T. Kremer). Journal of Symbolic Computation, vol. 82, September–October 2017, Pages 74-90
  5. Computing automorphisms of Mori dream spaces (with J. Hausen and R. Wolf). To appear in Mathematics of Computation. DOI: https://doi.org/10.1090/mcom/3185
  6. Current Challenges in Developing Open Source Computer Algebra Systems (with J. Böhm, W. Decker and Y. Ren), MACIS 2015, Lecture Notes in Computer Science 9582 (2016), 3-24.
  7. Computing Cox rings (with J. Hausen and A. Laface). Mathematics of Computation 85 (2016), no. 297, 467-502.
  8. A software package for Mori dream spaces (with J. Hausen). LMS Journal of Computation and Mathematics, 18 (1) (2015) 647-659.
  9. On Chow quotients of torus actions (with H. Bäker and J. Hausen). Michigan Mathematical Journal 64 (2015), no. 3, pages 451 - 473.
  10. Cox rings of cubic surfaces and Fano threefolds (with U. Derenthal, J. Hausen, A. Heim and A. Laface). Journal of Algebra 436 (2015), pages 228 - 276.
  11. Computing the GIT-fan. Internat. J. Algebra Comput. 22 (2012), no. 7, 11 pages.


  1. Computing GIT-fans with symmetry and the Mori chamber decomposition of 0,6 (with J. Böhm and Y. Ren). Preprint, 2016. arXiv.


Algorithms for Mori Dream Spaces. Universität Tübingen, 2014, URI

Software and database:

  • autgradalg.lib - a Singular library to compute automorphism groups of pointedly graded algebras.
  • quotsingcox.lib - a Singular package to compute Cox rings of resolutions of quotient singularities.
  • Cox ring database - a database for Cox rings and Mori dream spaces
  • compcox.lib - a Singular package for Cox ring computations.
  • MDSpackage - a package on Mori Dream Spaces.
  • gitfanlib - a package for GIT-fans (for Maple or polymake/Singular or Singular 3.1.6)
  • multigrading.lib, a Singular library for multigraded rings.
  • TorDiv, a Maple-package on Toric Geometry and Geometric Invariant Theory.