Papers and Talks by Gerald Höhn
Academic CV (last updated: September 2017)
-
Komplexe elliptische Geschlechter und S^1-äquivariante
Kobordismustheorie
- Diplom thesis (Advisor: Hirzebruch/Zagier), Bonn 1991
(arxiv).
A english translation is in preparation, here
the introduction
([ps.gz], [pdf]).
- Selbstduale Vertexoperatorsuperalgebren und das Babymonster
- Ph.D. thesis (Advisor: Manin/Hirzebruch),
Bonn 1995 (arxiv).
Appeared in: Bonner Mathematische Schriften 286 (1996), 1-85
([dvi], [ps.gz], [pdf]).
Papers
- Un résultat de Schinzel
- (with N.-P. Skoruppa) Journal de Théorie des Nombres de Bordeaux 5 (1993), 185
([dvi], [ps.gz], [pdf]).
- Self-dual Vertex Operator Superalgebras with Shadows of large
minimal weight
- Internat. Math. Res. Notices, No. 13, 1997, 613-621
(arxiv).
- Framed Vertex Operator Algebras, Codes and the Moonshine Module
- (with Chonying Dong and Robert Griess) Comm. Math. Phys. 193 (1998), 407-448
(arxiv).
- Self-dual Codes over the Kleinian Four group
- Mathematische Annalen 327 (2003), 227-255
(arxiv).
- Virasoro Frames and their Stabilizers for the E_8 lattice type Vertex Operator Algebra
- (with R. L. Griess, Jr.) Journal für die reine und angewandte Mathematik (Crelle)
561 (2003), 1-37
(arxiv).
- A natural construction of Borcherds' Fake Baby Monster Lie algebra
- (with N. R. Scheithauer) American Journal of Mathematics 125 (2003), 655-667
(arxiv).
- Genera of Vertex Operator Algebras and 3-dimensional Quantum Field Theories
- Vertex Operator Algebras in Mathematics and Physics,
Fields Institute Communications, Amer. Math. Soc., RI.
series.
(arxiv).
- The Symmetries of the shorter Moonshine Module
-
to appear in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
(arxiv, revised version 2010)
- Generalized Moonshine for the Baby Monster
- Used for Habilitation. Version from May 2003 (ps).
- Conformal Designs based on Vertex Operator Algebras
- Advances in Mathematics 217 (2008), 2301-2335
(arxiv).
- Vertex Operator Superalgebras of Large Minimal Weight
- submitted (arxiv).
- On a theorem of Garza regarding algebraic numbers with real conjugates
- International Journal of Number Theory 7 (2011) 943-945 (arxiv).
- McKay's E7 observation on the Babymonster
- (with C.-H. Lam and H. Yamauchi) Internat. Math. Res. Notices (2012) No. 1, 166-212
(pdf and arxiv).
- McKay's E6 observation on the largest Fischer group
- (with C.-H. Lam and H. Yamauchi)
Comm. Math. Phys. 310 (2012) 329-365 (pdf and arxiv).
- A new class of codes over Z_2 x Z_2
- submitted (arxiv).
- A new generalized Kac-Moody algebra of rank 14
- (with N. Scheithauer) Journal of Algebra 404 (2014), 222-239. (arxiv).
- The McKay-Thompson series of Mathieu Moonshine modulo two
- (with T. Creutzig and T. Miezaki) Ramanujan J. 34 (2014), 319-328 (arxiv).
- Mathieu Moonshine and the Geometry of K3 Surfaces
- (with T. Creutzig) Journal in Number Theory and Physics 8 (2014), 295-328 (arxiv).
- Finite groups of symplectic automorphisms of hyperkähler manifolds of type K3^[2]
- (with G. Mason) Bulletin of the Institute of Mathematics, Academia Sinica (New Series) 14 (2019), 189-264 (arxiv).
- The 290 fixed-point sublattice of the Leech lattice
- (with G. Mason) Journal of Algebra 448 (2016), 618-637 (arxiv).
- On the genus of the Moonshine Module
- preprint (arxiv).
Talks
- Vertex Algebra constructions of Generalized Kac-Moody Algebras - An overview
- Workshop on Lie algebras, vertex algebras and automorphic forms, Edinburgh, September 2009
([pdf])
- Sporadische Symmetrien und unverstandene Zusammenhänge (in German)
- Graduation ceremony of the Mathematics Department in Hamburg, summer semester 2009
([pdf])
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