### Contact Information

bernhard.lamel(at)univie.ac.at | |

Phone | 0043-(0)1-4277-50687 |

Fax | 0043-(0)1-4277-50750 |

Office | AN 110 |

Postal address | Department of Mathematics University of Vienna Oskar Morgenstern Platz 1 1090 Vienna Austria |

### Research Interests

My main research interest is the biholomorphically invariant geometry of real submanifolds in complex spaces, often referred to as CR (or Cauchy-Riemann) geometry. They possess very strong rigidity properties, which makes them geometrically quite appealing. In particular, I am interested in classification problems arising in this context, as well as in structural properties of sets of mapping.

Another important focus of my work is in the application of boundary geometry of domains to the function theory on them, and I am also interested in more general systems of PDEs than the Cauchy-Riemann equations.

**CV**

### Selected Publications

2014 | |

[26] | On the analyticity of CR-diffeomorphisms , In ArXiv e-prints, 2014. [bib] [pdf] |

2013 | |

[25] | On the vanishing rate of smooth CR functions , 2013. (Preprint, to appear in Proc. Am. Math. Soc., series B) [bib] |

[24] | CR functions and their formal expansions , In Bull. Inst. Math. Ac. Sin., volume 8, 2013. [bib] |

2012 | |

[23] | Formal Theory of Segre varieties , In Ill. Journ. Math., volume 56, 2012. [bib] |

2011 | |

[22] | Jet embeddebality of automorphism groups of CR manifolds , In Geometric Analysis of Several Complex Variables and Related Topics, Contemporary Mathematics, vol. 550, 2011. [bib] |

[21] | Holomorphic Equivalence and nonlinear symmetries of ruled hypersurfaces in , 2011. (Preprint, submitted) [bib] |

[20] | Parametrizations for deformations of CR manifolds and applications , 2011. (Preprint, submitted) [bib] |

2010 | |

[19] | Asymptotic approximations and a Borel-type result for CR functions , 2010. (Preprint, submitted) [bib] |

[18] | Formal meromorphic functions on manifolds of finite type , In Pure Appl. Math. Q., volume 6, 2010. [bib] [pdf] |

[17] | Holomorphic versus algebraic equivalence for deformations of real-algebraic Cauchy-Riemann manifolds , In Comm. Anal. Geom., volume 18, 2010. [bib] [pdf] |

[16] | On maps between nonminimal hypersurfaces , In Math. Z., 2010. (DOI 10.1007/s00209-012-1017-9) [bib] [pdf] |

2009 | |

[15] | Degenerate real hypersurfaces in with few automorphisms , In Trans. Amer. Math. Soc., volume 361, 2009. [bib] [pdf] [doi] |

2008 | |

[14] | Lie group structures on automorphism groups of real-analytic CR manifolds , In Amer. J. Math., volume 130, 2008. [bib] [pdf] [doi] |

[13] | Spectral properties of the canonical solution operator to , In J. Funct. Anal., volume 255, 2008. [bib] [pdf] [doi] |

[12] | Local automorphisms of the Hilbert ball , In Proc. Amer. Math. Soc., volume 136, 2008. [bib] [pdf] [doi] |

2007 | |

[11] | Finite jet determination of CR mappings , In Adv. Math., volume 216, 2007. [bib] [pdf] [doi] |

[10] | Finite jet determination of local CR automorphisms through resolution of degeneracies , In Asian J. Math., volume 11, 2007. [bib] [pdf] |

[9] | Parametrization of local CR automorphisms by finite jets and applications , In J. Amer. Math. Soc., volume 20, 2007. [bib] [pdf] [doi] |

2006 | |

[8] | Remarks on the rank properties of formal CR maps , In Sci. China Ser. A, volume 49, 2006. [bib] [pdf] [doi] |

[7] | On the stability group of CR manifolds , In C. R. Math. Acad. Sci. Paris, volume 343, 2006. [bib] [pdf] [doi] |

[6] | Explicit bounds for the finite jet determination problem , In Trans. Amer. Math. Soc., volume 358, 2006. [bib] [pdf] [doi] |

2004 | |

[5] | A $C^infty$-regularity theorem for nondegenerate CR mappings , In Monatsh. Math., volume 142, 2004. [bib] [pdf] [doi] |

[4] | Finite jet determination of CR embeddings , In J. Geom. Anal., volume 14, 2004. [bib] [pdf] |

2003 | |

[3] | Finite jet determination of local analytic CR automorphisms and their parametrization by 2-jets in the finite type case , In Geom. Funct. Anal., volume 13, 2003. [bib] [pdf] [doi] |

2001 | |

[2] | Holomorphic maps of real submanifolds in complex spaces of different dimensions , In Pacific J. Math., volume 201, 2001. [bib] [pdf] [doi] |

[1] | A reflection principle for real-analytic submanifolds of complex spaces , In J. Geom. Anal., volume 11, 2001. [bib] [pdf] |

Offenlegung nach Par. 25 Mediengesetz: Für den Inhalt verantwortlich: Fakultät für Mathematik, Universität Wien