My research area concerns mathematical physics and differential equations. More specifically, I am interested in direct and inverse spectral theory of differential and difference operators.
My research is funded by FWF. Further information can be found on the corresponding project pages:
I'm a management committee member of the COST Action Mathematical models for interacting dynamics on networks.
A complete list of publications is available.
Some of my recent talks:
- "Infinite quantum graphs" at Differential Operators on Graphs and Waveguides, Feb. 2019 (Graz, Austria)
- "Spectral estimates for infinite quantum graphs" at Quantum Circle Seminar, Dec. 2017 (Prague, Czech Republic)
- "The string density problem and the Camassa-Holm equation" at IWOTA 2015 (Tbilisi, Georgia)
- "Spectral asymptotics for 2x2 canonical systems" at STA-2015 (Krakow, Poland)
- My invited address at the 8th European Congress of Mathematics: "Laplacians on Infinite Graphs" ; extended version of an invited lecture at the 8ECM, June 2021 (arXiv:2110.03566).