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Forschungsinteressen:
- algebraische Flächen insbesondere K3 und Enriques Flächen
- irreduzible holomorph symplektische Varietäten
- Automorphismen und Dynamik von Flächen
- quadratische und hermitesche Formen und ihre Anwendung in der algebraischen Geometrie
Preprints
- Simon Brandhorst, Tommy Hofmann, Generation of local unitary groups, arXiv:2104.12529.
- Simon Brandhorst, Noam Elkies, Equations for a K3 Lehmer map, arXiv:2103.15101.
- 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.
Publikationen
- Simon Brandhorst, Sławomir Rams, Ichiro Shimada. On characteristic polynomials of automorphisms of Enriques surfaces, PRIMS to appear , arXiv.
- Simon Brandhorst, Ichiro Shimada, Automorphism groups of certain Enriques surfaces, Found Comput Math (2021), arXiv.
- Simon Brandhorst, Kenji Hashimoto. Extensions of maximal symplectic actions on K3 surfaces, Ann. H. Lebesgue, Vol. 4 (2021) , pp. 785-809., arXiv.
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Simon Brandhorst, Ichiro Shimada. Borcherds' method for Enriques surfaces, Michigan Math. J. to appear, arXiv.
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Simon Brandhorst. On the stable dynamical spectrum of complex surfaces, Math. Ann. 377, 421-434 (2020), arXiv.
- Simon Brandhorst. The classification of purely non-symplectic automorphisms of high order on K3 surfaces. J. Algebra, 533:229--265, 2019, arXiv.
- Simon Brandhorst, Víctor González-Alonso. Automorphisms of minimal entropy on supersingular K3 surfaces, London Math. Soc., 97: 282-305 (2018), arXiv.
- 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.
- Simon Brandhorst. Dynamics on supersingular K3 surfaces and automorphisms of Salem degree 22, Nagoya Math. J. Vol 227 (2017), pp. 1-15 , arXiv.
- Simon Brandhorst, Marcel Erné. Tychonoff-like product theorems for local topological properties, Topology Proc. 45 (2015), 121-138, arXiv.