Submitted

• David Sher, Luis Silva, Boris Vertman, Monika Winklmeier.
  Scattering theory for difference equations with operator coefficients
  (arxiv:2501.11194).
• Daniel Sánchez-Mendoza, Monika Winklmeier.
  On the existence of eigenvalues of a one-dimensional Dirac operator
  (arxiv:2408.12697).
• Javier Moreno, Monika Winklmeier.
  Spectral inclusions of perturbed normal operators and applications
  (arxiv:2309.12550).

Papers

1. Florian Leben, Edison Leguizamón, Carsten Trunk, Monika Winklmeier.
   Limit point and limit circle trichotomy for Sturm-Liouville problems with complex potentials
   Proc. Amer. Math. Soc. 153 (2025), 1539-1558. (arxiv:2310.16128).
2. Abdon E. Choque-Riveros, Monika Winklmeier.
   Explicit relation between two resolvent matrices of the truncated Hausdorff matrix moment problem
   Complex Anal. Oper. Theory 17, 50 (2023). (arxiv:2210.00374).
3. Carlos Segovia, Monika Winklmeier.
   Calculating the dimension of the universal embedding of the symplectic dual polar space using languages
   Electronic Journal of Combinatorics. Volume 27, Issue 4 (2020) Paper #P4.39. (arxiv:1312.4315v2).
4. Monika Winklmeier, Osanobu Yamada.
   The limiting absorption principle for Dirac operators in the non-extreme Kerr-Newman metric.
   Mem. Inst. Sci. Engrg. Ritsumeikan Univ. No. 76 (2017) (article)
5. Vadym Adamyan, Heinz Langer, Christiane Tretter, Monika Winklmeier.
   Dirac-Krein operators on star graphs
   Integral Equations Operator Theory. 86(1):121-150 (2016). (arXiv:1608.05865).
6. Vladimir Strauss, Monika Winklmeier.
   On the one-dimensional harmonic oscillator with a singular perturbation
   Bulletin of the South Ural State University, Ser. Mat. Model. Program. 9, No. 1, 73-91 (2016), (arxiv:1506.06264).
7. Lyonell Boulton, Monika Winklmeier.
   Sharp eigenvalue enclosures for the perturbed angular Kerr-Newman Dirac operator
   Proceedings of the Royal Society A, Vol. 471, Issue 2182 (2015), (arxiv:1410.5357).
8. Carlos Segovia, Monika Winklmeier.
   Combinatorial Computations in Cobordism Categories
   Electronic Journal of Combinatorics. Volume 22, Issue 3 (2015) Paper #P3.16. (arxiv:1409.2067).
9. Monika Winklmeier, Christian Wyss.
   On the Spectral Decomposition of Dichotomous and Bisectorial Operators
   Integral Equations Operator Theory. 82(1):119-150 (2015). (arxiv:1410.2305).
10. Mario Koppen, Christiane Tretter, Monika Winklmeier.
    Simplicity of extremal eigenvalues of the Klein-Gordon equation.
    Rev. Math. Phys. 23(6): 643-667 (2011). (arXiv:1008.2469).
11. Monika Winklmeier, Osanobu Yamada.
    A spectral approach the Dirac equation in the non-extreme Kerr-Newmann metric.
    J. Phys. A. 42 (2009) (arXiv:0802.0402).
12. Monika Winklmeier.
    A Variational Principle for Block Operator Matrices and its Application to the Angular Part of the Dirac Operator in Curved Spacetime.
    J. Differential Equations Volume 245, Issue 8 (arXiv:0806.1866).
13. Carsten Trunk, Birgit Jacob, Monika Winklmeier.
    Analyticity and Riesz basis property of semigroups associated to damped vibrations.
    J. Evol. Eq. (2008) (arXiv:math/0703247).
14. Monika Winklmeier, Osanobu Yamada.
    Spectral analysis of radial Dirac operators in the Kerr-Newman metric and its applications to time-periodic solutions.
    JMP Vol. 47 (2006) (arXiv:gr-qc/0605146).
15. Davide Batic, Harald Schmid, Monika Winklmeier.
    The generalized Heun equation in QFT in curved spacetimes.
    J. Phys. A. (2006) (arXiv:gr-qc/0607017).
16. Davide Batic, Harald Schmid, Monika Winklmeier.
    On the eigenvalues of the Chandrasekhar-Page angular equation.
    JMP vol. 46 (2005) (arXiv:math-ph/0402047).

Proceedings

• Off-Diagonalisation of a Certain Class of Block Operator Matrices. Proceedings 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS), Kyoto, Japan, 2006.
  
• Monika Winklmeier, Monika, Christian Wyss Dichotomy, bisectorial operators and unbounded spectral projections PAMM, 14(1):1003-1004, 2014.
  

Thesis

• The angular part of the Dirac operator in Kerr-Newman spacetime: Estimates for the eigenvalues (Ph.D thesis, 2005).