Institut für Angewandte Mathematik (Math D)
Dipl.-Ing. Markus Holzmann
Postal Address Technische Universität Graz
Institut für Angewandte Mathematik
Steyrergasse 30
8010 Graz
Austria
Phone+43-(0)316-873 8124
Telefax+43-(0)316-873 8621
RoomST 03 156
Electronic Mail holzmann@math.tugraz.at
Office hour by arrangement

Teaching Winter Term 2017/18

Teaching Summer Term 2017

Topics of Interest
  • Dirac operators with δ-shell interactions
  • Approximation problems for partial differential operators
  • Spectral properties of partial differential operators with singular interactions
  • Extension theory of symmetric operators

I am participating in the following projects:
Publications
Refereed publications
  1. J. Behrndt and M. Holzmann,
    On Dirac operators with electrostatic δ-shell interactions of critical strength,
    accepted for publication in J. Spectral Theory; arXiv.

  2. J. Behrndt, P. Exner, M. Holzmann, and V. Lotoreichik,
    On the spectral properties of Dirac operators with electrostatic δ-shell interactions,
    accepted for publication in J. Math. Pures Appl.; arXiv.

  3. J. Behrndt, P. Exner, M. Holzmann, and V. Lotoreichik,
    Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces,
    Math. Nachr. 290 (2017), 1215–1248; arXiv.

Submitted papers
  1. M. Holzmann and V. Lotoreichik,
    Spectral analysis of photonic crystals made of thin rods, arXiv.
  2. M. Holzmann, T. Ourmieres-Bonafos, and K. Pankrashkin,
    Dirac operators with Lorentz scalar shell interactions, arXiv.

Conference proceedings
  1. J. Behrndt, M. Holzmann, and V. Lotoreichik,
    Convergence of 2D-Schrödinger operators with local scaled short-range interactions to a Hamiltonian with infinitely many δ-point interactions,
    Proc. Appl. Math. Mech. 14 (2014), 1005–1006, pdf.
Thesis
  1. M. Holzmann,
    Approximation of Schrödinger operators with δ-interactions supported on hypersurfaces,
    Master Thesis, TU Graz, 2014, pdf.