Dr Frank Rosler
Research Associate
- Email:
- roslerf@cardiff.ac.uk
I am currently a Research Associate in Cardiff University. My research is supported by the EPSRC grant QUEST: Quantitative Estimates in Spectral Theory and Their Complexity (see https://cardiffquest.wordpress.com/ ).
I am generally interested in the spectral theory of non-selfadjoint operators. And the approximation of spectra. Past projects involved pseudospectra of non-normal Schrödinger Operators and more general resolvent norm estimates of partial Differential operators. For more information, see my personal website.
News:
We will be organising the conference Small Scales and Homogenisation (SmaSH) at Cardiff University, 24-26 June 2019.
Education and Degrees
- 2018-present: Research Associate, School of Mathematics, Cardiff University, Cardiff, UK.
- 2014-2018: PhD Mathematics, Dept of Mathematical Sciences, Durham University, Durham, UK.
Topic: Spectral Theory of non-selfadjoint Schrödinger Operators and Homogenisation of PDEs in perforated domains. - 2011-2014: MSc Physics, Heidelberg University, Heidelberg, Germany.
Thesis, Institute for Theoretical Physics, Heidelberg, Germany.
Topic: Surface Operators in Chern-Simons Theory - 2008–2011: BSc Physics, Heidelberg University, Heidelberg, Germany.
Thesis, Institute for Theoretical Physics, Heidelberg, Germany. Topic: Distributions and Wave-Front Set
Summer term 2018
- Assistant for the course “Analysis 2” by Prof. M. Růžička at the University of Freiburg.
Winter term 2017/18
- Assistant for the lecture “Analysis 1” by Prof. M. Růžička at the University of Freiburg.
Summer term 2017
- Reading course on the Spectral Theorem for compact, bounded and unbounded selfadjoint operators on Hilbert spaces at the University of Freiburg.
Summer term 2016
Winter term 2016/17
- Seminar on numerical algorithms (Prof. P. Dondl)
- Assistant for the lecture Partial Differential Equations II (A. Schikorra) at the University of Freiburg.
Publications and Preprints
- Patrick W. Dondl, Patrick Dorey, Frank Rösler; A Bound on the Pseudospectrum for a Class of Non-normal Schrödinger Operators. Appl Math Res Express 2016 1-26. doi: 10.1093/amrx/abw011
- Patrick Dondl, Kirill Cherednichenko, Frank Rösler; Norm-Resolvent Convergence in Perforated Domains. Asymptotic Analysis, vol. 110, no. 3-4, pp. 163-184, 2018
- Frank Rösler; Graph-like Domains with Dirichlet-Perforation. Preprint, arXiv:1802.00494
- Frank Rösler PhD Thesis: Norm-Resolvent Estimates and Perforated Domains, Durham University, 2018.