I am a postdoctoral researcher in mathematics. At the moment I am a Chapman Fellow at the Department of Mathematics at Imperial College London. From September 2019 I will be an Assistant Professor in the Department of Mathematical Sciences at Durham University.
I completed my Ph.D. at University of Bern (Thesis Spectral approximation for linear operators and applications, 2014), under the supervision of Christiane Tretter. Then I held an Early Postdoc.Mobility fellowship of the Swiss National Science Foundation. I spent the first half of my fellowship at the School of Mathematics at Cardiff University, in the research group of Marco Marletta, and the second half at the Department of Mathematics at Imperial College London, supervised by Ari Laptev. From October 2016 until September 2018 I was a postdoc at the Department of Mathematics at Ludwig Maximilian University (LMU) Munich in the research group of Rupert Frank.
- Spectral approximation for linear operators (spectral inclusion, spectral exactness, spectral pollution), with special emphasis set on unbounded non-selfadjoint operators
- Convergence and compactness properties of linear operators
- Pseudospectra of non-normal operators
- Enclosures for spectrum, e.g. numerical range, block numerical range
- Differential operators, e.g. Schrödinger operators with complex potentials
- Applications in mathematical physics, e.g. in magnetohydrodynamics
In the media
- Mathematicians settle 30-year-old resonance controversy article on phys.org
- Begegnung: Sabine Bögli – Resonanzen bringen Karriere in Schwung [in German] UniPress magazine no. 164, University of Bern