Dr. Simon Keicher
You can reach me under
keicher[AT]mail[DOT]mathematik[DOT]uni-tuebingen[DOT]de
Publications:
- On blowing up the weighted projective plane (with J. Hausen and A. Laface). To appear in Mathematische Zeitschrift, arXiv.
- A software package to compute automorphisms of graded algebras. To appear in Journal of Software for Algebra and Geometry. arXiv.
- Computing resolutions of quotient singularities (with M. Donten-Bury). Journal of Algebra, vol. 472, 15 February 2017, 546-572.
- A test for monomial containment (with T. Kremer). Journal of Symbolic Computation, vol. 82, September–October 2017, Pages 74-90
- 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
- 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.
- Computing Cox rings (with J. Hausen and A. Laface). Mathematics of Computation 85 (2016), no. 297, 467-502.
- A software package for Mori dream spaces (with J. Hausen). LMS Journal of Computation and Mathematics, 18 (1) (2015) 647-659.
- On Chow quotients of torus actions (with H. Bäker and J. Hausen). Michigan Mathematical Journal 64 (2015), no. 3, pages 451 - 473.
- 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.
- Computing the GIT-fan. Internat. J. Algebra Comput. 22 (2012), no. 7, 11 pages.
Preprints:
- Computing GIT-fans with symmetry and the Mori chamber decomposition of M̅0,6 (with J. Böhm and Y. Ren). Preprint, 2016. arXiv.
Thesis:
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.
Teaching:
- Winter 2015/16, lecture: Darstellungstheorie endlicher Gruppen (Mi 14-16, N14)
- Summer 2015, lecture: Computeralgebra (Mi 14-16, N14)
- Winter 2014/15, lecture: Galoistheorie (Mi 16-18, N14)