Gerald Höhn

Sporadic Groups · Vertex Operator Algebras · Mathematical Physics

Papers & Preprints

  1. The Order of the Monster Finite Simple Group with Martin Seysen Preprint (2025). [arXiv:2508.01037]
  2. Classification of Self-Dual Vertex Operator Superalgebras of Central Charge at Most 24 with Sven Möller Submitted (2023). [arXiv:2303.17190]
  3. Systematic Orbifold Constructions of Schellekens' Vertex Operator Algebras from Niemeier Lattices with Sven Möller Journal of the London Mathematical Society (2022). [arXiv:2010.00849]
  4. The Conformal Packing Problem Preprint (2019). [arXiv:1909.05745]
  5. Most vertex superalgebras associated to an odd unimodular lattice of rank 24 have an N=4 superconformal structure with Geoffrey Mason Experimental Mathematics (2023). [arXiv:1810.00254]
  6. On the genus of the Moonshine module Preprint (2017). [arXiv:1708.05990]
  7. The 290 fixed-point sublattices of the Leech lattice with Geoffrey Mason Journal of Algebra (2016). [arXiv:1505.06420]
  8. Finite groups of symplectic automorphisms of hyperkähler manifolds of type K3^[2] with Geoffrey Mason Bulletin of the Institute of Mathematics Academia Sinica (2019). [arXiv:1409.6053]
  9. Mathieu Moonshine and the Geometry of K3 Surfaces with Thomas Creutzig Communications in Number Theory and Physics (2014). [arXiv:1309.2671]
  10. The McKay-Thompson series of Mathieu Moonshine modulo two with Thomas Creutzig and Tsuyoshi Miezaki Ramanujan Journal (2014). [arXiv:1211.3703]
  11. A generalized Kac Moody algebra of rank 14 with Nils Scheithauer Journal of Algebra (2014). [arXiv:1009.5153]
  12. A new class of self-dual codes over Z_2 x Z_2 with Julia Galstad Preprint (2010). [arXiv:1008.1927]
  13. McKay's E_6 observation on the Fischer group Fi_24 with Ching Hung Lam and Hiroshi Yamauchi Communications in Mathematical Physics (2012). [arXiv:1002.3501]
  14. McKay's E_7 observation on the Babymonster with Ching Hung Lam and Hiroshi Yamauchi International Mathematical Research Notices (2012). [arXiv:1002.1777]
  15. On a theorem of Garza regarding algebraic integers with real conjugates International Journal of Number Theory (2011). [arXiv:1003.4039]
  16. Self-Dual Vertex Operator Superalgebras of large minimal weight Preprint (2007). [arXiv:0801.1822]
  17. Conformal designs based on Vertex Operator Algebras Advances in Mathematics (2008). [arXiv:math/0701626]
  18. Generalized Moonshine for the Baby Monster Habilitationsschrift (2003). [.ps file]
  19. The Group of Symmetries of the shorter Moonshine Module Abhandlungen aus dem Math. Seminar der Universität Hamburg (2010). [arXiv:math/0210076]
  20. A natural construction of Borcherds' Fake Baby Monster Lie algebra with Nils Scheithauer American Journal of Mathematics (2003). [arXiv:math/0312106]
  21. Genera of Vertex Operator Algebras and three-dimensional topological quantum field theories Fields Institute Communications (2003). [arXiv:math/0209333]
  22. Virasoro Frames and their Stabilizers for the E_8 Lattice type Vertex Operator Algebra with Robert Griess Journal für die reine und angewandte Mathematik (Crelle) (2003). [arXiv:math/0101054]
  23. Self-dual Codes over the Kleinian four group Mathematische Annalen (2003). [arXiv:math/0005266]
  24. Framed Vertex Operator Algebras, Codes and the Moonshine Module with Chongying Dong and Robert Griess Communications in Mathematical Physics (1998). [arXiv:q-alg/9707008]
  25. Self-dual Vertex Operator Superalgebras with Shadows of large minimal weight International Mathematics Research Notices (1997). [arXiv:q-alg/9608023]
  26. Selbstduale Vertexoperatorsuperalgebren und das Babymonster Ph.D. thesis, Universität Bonn (1995). Bonner Mathematische Schriften 286. [arXiv:0706.0236]
  27. Un résultat de Schinzel with N.-P. Skoruppa Journal de Théorie des Nombres de Bordeaux (1993).
  28. Komplexe elliptische Geschlechter und S^1-äquivariante Kobordismustheorie Diplomarbeit, Bonn (1991). [arXiv:math/0405232]