Jun. Prof. Simon Brandhorst

Email: lastname [at] math.uni-sb.de
 
Phone: +49-681-302-2480
 
Address: Mathematik und Informatik
Gebäude E.2.4 - Raum: 222
Universität des Saarlandes
66123 Saarbrücken (Germany)
Office hour: by appointment
 
Research interests:
  • algebraic surfaces, especially K3 and Enriques surfaces
  • irreducible holomorphic symplectic varieties
  • automorphisms and dynamics of surfaces
  • quadratic and hermitian forms and their applications to algebraic geometry
Preprints
  • Simon Brandhorst, Tommy Hofmann, Finite subgroups of automorphisms of K3 surfaces, arxiv:2112.07715.
  • Simon Brandhorst, Serkan Sonel, Davide Cesare Veniani. Idoneal genera and the classification of K3 surfaces covering an Enriques surface, arXiv:2003.08914
  • Simon Brandhorst, Alberto Cattaneo. Prime order isometries of unimodular lattices and automorphisms of IHS manifolds, arXiv:1912.07119

Publications

  1. Simon Brandhorst, Tommy Hofmann, Appendix by Sven Manthe, Generation of local unitary groups, J. Algebra. to appear, arXiv.
  2. Simon Brandhorst, Noam D. Elkies, Equations for a K3 Lehmer map, Journal of Algebraic Geometry to appear,  arXiv.
  3. Simon Brandhorst, Sławomir Rams, Ichiro Shimada. On characteristic polynomials of automorphisms of Enriques surfaces, PRIMS to appear, arXiv.
  4. Simon Brandhorst, Ichiro Shimada, Automorphism groups of certain Enriques surfaces, Found Comput Math (2021), arXiv.
  5. Simon Brandhorst, Kenji Hashimoto. Extensions of maximal symplectic actions on K3 surfaces, Annales Henri Lebesgue, Volume 4 (2021) , pp. 785-809, arXiv.
  6. Simon Brandhorst, Ichiro Shimada. Borcherds' method for Enriques surfaces, Michigan Math. J. to appear, arXiv.
  7. Simon Brandhorst. On the stable dynamical spectrum of complex surfaces, Math. Ann. 377, 421-434 (2020), arXiv.
  8. Simon Brandhorst. The classification of purely non-symplectic automorphisms of high order on K3 surfaces. J. Algebra, 533:229--265 (2019), arXiv.
  9. Simon Brandhorst, Víctor González-Alonso. Automorphisms of minimal entropy on supersingular K3 surfaces, London Math. Soc., 97: 282-305 (2018), arXiv.
  10. Simon Brandhorst. Automorphisms of Salem degree 22 on supersingular K3 surfaces of higher Artin invariant, Math. Res. Let. Vol 25 (2018) No 4, pp. 1143-1150, arXiv.
  11. Simon Brandhorst. Dynamics on supersingular K3 surfaces and automorphisms of Salem degree 22, Nagoya Math. J. Vol 227 (2017), pp. 1-15 , arXiv.
  12. Simon Brandhorst, Marcel Erné. Tychonoff-like product theorems for local topological properties, Topology Proc. 45 (2015), 121-138, arXiv.