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.
  • with Lisa Knauss: Classification of spherical algebraic subalgebras of real simple Lie algebras of rank 1,
    to appear in Journal of Lie Theory.

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: 2017/09/25