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 ARRS and the FWF. Further information can be found on the corresponding project pages:
ARRS:
FWF:
- Lise Meitner project M1309
- Stand-Alone project P26060
- Stand-Alone project P28807
- International project I 4600 (jointly with RFBR) (start 01/10/2020)
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)