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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, Giacomo Mezzedimi, Borcherds lattices and K3 surfaces of zero entropy, arXiv:2211.09600.
- 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
Publications
- Simon Brandhorst, Alberto Cattaneo. Prime order isometries of unimodular lattices and automorphisms of IHS manifolds, IMRN (2022), arXiv.
- Simon Brandhorst, Tommy Hofmann, Appendix by Sven Manthe, Generation of local unitary groups, J. Algebra Vol. 609 (2022), pp. 484-513, arXiv.
- Simon Brandhorst, Noam D. Elkies, Equations for a K3 Lehmer map, Journal of Algebraic Geometry to appear, arXiv.
- 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. 22, pp. 1463–1512 (2022), arXiv.
- Simon Brandhorst, Kenji Hashimoto. Extensions of maximal symplectic actions on K3 surfaces, Annales Henri Lebesgue, Volume 4 (2021) , pp. 785-809, arXiv.
- Simon Brandhorst, Ichiro Shimada. Borcherds' method for Enriques surfaces, Michigan Math. J. to appear, arXiv.
- 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.