Institut für Numerische Mathematik (Math D)
Dipl.-Ing. Markus Holzmann
Postal Address Technische Universität Graz
Institut für Numerische 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, 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.

  2. 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. J. Behrndt and M. Holzmann,
    On Dirac operators with electrostatic δ-shell interactions of critical strength, arXiv.
  2. M. Holzmann and V. Lotoreichik,
    Spectral analysis of photonic crystals made of thin rods, 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.