Research interests
I am interested in completely integrable wave equations, or soliton equations, and applications of algebraic geometry and functional analysis to such systems.
Applied functional analysis
Applied algebraic geometry
Completely integrable systems

The Toda shock wave with different regions of asymptotic behavior 
Research grants
My research is supported by the following grants (PI Johanna Michor).
 FWF Project P 31651,
"Transition asymptotics of Soliton equations"
Duration: 11/2018  11/2023
Project Website
Duration: 05/2011  11/2018
Project Website
Duration: 03/2007  12/2008
Project Website
Duration: 10/2003  10/2004
Publications:
 I. Egorova, J. Michor, and G. Teschl, Scattering theory for Jacobi operators with quasiperiodic background, Comm. Math. Phys., 2643, 811842 (2006).
 J. Michor, Scattering theory for Jacobi operators and applications to completely integrable systems, Doctoral thesis, University of Vienna, 2005.