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 the ARIS and the FWF. Further information can be found on the corresponding project pages:
ARIS:
- Project P1-0291: Analysis and Geometry
- Project N1-0137: Nonlinear Waves and Spectral Theory (1. 6. 2020 - 31. 5. 2024)
FWF:
A complete list of publications is available.
Some of my recent talks:
- My invited address at the 8th European Congress of Mathematics: "Laplacians on Infinite Graphs" ; extended version of the invited lecture at the 8ECM, June 2021 (arXiv:2110.03566).
- "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)