Christian Miebach



Address

Laboratoire de Mathématiques Pures et Appliquées
Université du Littoral Côte d'Opale
50, rue F. Buisson
62228 Calais Cedex, France

Phone

+33 / (0)3 21 46 58 40

e-mail

christian[dot]miebach[at]univ-littoral[dot]fr


Research

Scientific Activities

Geometric Methods in Several Complex Variables

Organizers: Sergey Ivashkovich, Christian Miebach, Alexandre Sukhov.

Journées Complexes du Nord 2012

Organizers: William Alexandre, Aziz El Kacimi, Emmanuel Mazzilli, Joachim Michel, Christian Miebach.

Journées Complexes du Nord 2014

Organizers: William Alexandre, Emmanuel Mazzilli, Joachim Michel, Christian Miebach.

Aspects métriques et dynamiques en analyse complexe

École de printemps à Lille, 2015

Scientific committee: Juan-Carlos Álvarez-Paiva, Léa Blanc-Centi.
Organizers: Léa Blanc-Centi, Landry Lavoine, Christian Miebach.

Journées Complexes du Nord 2016

Organizers: William Alexandre, Emmanuel Mazzilli, Joachim Michel, Christian Miebach.

Lie Groups, Invariant Theory & Complex Geometry

Organizers: Daniel Greb, Frank Kutzschebauch, Christian Miebach, Jörg Winkelmann.

Research Interests

  • Geometric Invariant Theory on Kähler manifolds
  • Geometry of actions of real-reductive Lie groups on real and complex manifolds admitting gradient maps
  • Complex spherical varieties and spherical gradient manifolds
  • Actions of discrete groups on hyperbolic Stein manifolds
  • Bounded domains of holomorphy with non-compact automorphism group of positive dimension
  • Stein and q-complete manifolds with many symmetries
  • Globalizations of local holomorphic Lie group actions

Publications

  • Matsuki's double coset decomposition via gradient maps,
    J. Lie Theory 18 (2008), no. 3, 555-580, download.
  • Geometry of invariant domains in complex semi-simple Lie groups,
    Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 8 (2009), no. 3, 509-541, download.
  • with Karl Oeljeklaus: On proper R-actions on hyperbolic Stein surfaces,
    Documenta Math. 14 (2009), 673-689, download.
  • with Henrik Stötzel: Spherical gradient manifolds,
    Ann. Inst. Fourier (Grenoble) 60 (2010), no. 6, 2235-2260, download.
  • Quotients of bounded homogeneous domains by cyclic groups,
    Osaka Journal of Mathematics 47 (2010), no. 2, 331-352, download.
  • Sur les quotients discrets de semi-groupes complexes,
    Annales de la Faculté des Sciences de Toulouse (6) 19 (2010), no. 2, 269-276, download.
  • with Bruce Gilligan and Karl Oeljeklaus: Homogeneous Kähler and Hamiltonian manifolds,
    Math. Ann. 349 (2011), no. 4, 889-901, download.
  • with Daniel Greb: Invariant meromorphic functions on Stein spaces,
    Ann. Inst. Fourier (Grenoble) 62 (2012), no. 5, 1983-2011, download.
  • with Bruce Gilligan and Karl Oeljeklaus: Pseudoconvex domains spread over complex homogeneous manifolds,
    Manuscripta Math. 142 (2013), no. 1-2, 35-59, download.
  • Pseudoconvex non-Stein domains in primary Hopf surfaces,
    Izvestiya: Mathematics 78 (2014), no. 5, 1028-1035, download.
  • with Karl Oeljeklaus: Schottky groups acting on homogeneous rational manifolds,
    to appear in Journal für die reine und angewandte Mathematik (Crelle), download.

Preprints

  • with Lisa Knauss: Classification of spherical algebraic subalgebras of real simple Lie algebras of rank 1, download.

My articles and preprints are available on the arXiv and on HAL.

Theses

  • Geometry of invariant domains in complex semi-simple Lie groups,
    Dissertation, Ruhr-Universität Bochum, 2007, download.
  • Discrete quotients of Stein manifolds, the geometry of holomorphic Lie group actions, and domains in complex homogeneous spaces,
    Thèse d'HDR, Université du Littoral Côte d'Opale, 2014, download.



Short CV

03/2017 - 08/2017 on leave at the Mathematisches Institut der Albert-Ludwigs-Universität Freiburg
10/2014 Soutenance de l'HDR, LMPA, Université du Littoral
since 09/2010 Maître de Conférences, LMPA, Université du Littoral
03/2010 - 08/2010 Postdoctoral research fellow, LATP, Université de Provence
09/2008 - 02/2010 ATER, LATP, Université de Provence
12/2007 - 05/2008Invitation to the LATP, Université de Provence
07/2007 - 08/2008 Postdoctoral research fellow, SFB TR 12, Ruhr-Universität Bochum
07/2007 Dr. rer. nat., Ruhr-Universität Bochum, Advisor: Prof. Dr. Peter Heinzner
10/2003 Diplom Mathematik, Ruhr-Universität Bochum, Advisor: Prof. Dr. Peter Heinzner


last modified: 2017/09/12