Education
After studying physics at the Graz University of Technology (diploma thesis 1993), he continued with a Doctor of Philosophy in mathematics at the University of Missouri – Columbia.
mathematician physicist university professor
After studying physics at the Graz University of Technology (diploma thesis 1993), he continued with a Doctor of Philosophy in mathematics at the University of Missouri – Columbia.
He is working in the area of mathematical physics. In particular direct and inverse spectral theory with application to completely integrable partial differential equations (soliton equations). The title of his thesis supervised by Fritz Gesztesy was Spectral Theory for Jacobi Operators (1995).
After a postdoctoral position at the Rheinisch-Westfälischen Technische Hochschule Aachen (1996/97), he moved to Vienna, where he received his Habilitation at the University of Vienna in May 1998.
Since then he has been a professor of mathematics there. In 2006 he was awarded with the prestigious Strategic Arms Reduction Talks-Preis by the Austrian Science Fund (FWF).
His most important contributions are to the fields of Sturm–Liouville theory, Jacobi operators and the Toda lattice.
Selected publications Ordinary Differential Equations and Dynamical Systems, American Mathematical Society, Graduate Studies in Mathematics, Volume 140, 2012, with Julian King, Helin Koc, Karl Unterkofler, Pawel Mochalski, Alexander Kupferthaler, Susanne Teschl, Hartmann Hinterhuber, Anton Amann: Physiological modeling of isoprene dynamics in exhaled breath, J. Theoret. Biol. 267 (2010), 626-637. Mathematical Methods in Quantum Mechanics with Applications to Schrödinger Operators, American Mathematical Society, Graduate Studies in Mathematics, Volume 99, 2009, with Susanne Teschl: Mathematik für Informatiker, 2 Bände, Springer Verlag, Bd.
1 (Diskrete Mathematik und Lineare Algebra), 3. Auflage 2008, , Bd. 2 (Analysis und Statistik), 2. Auflage 2007, with Fritz Gesztesy, Helge Holden and Johanna Michor: Soliton Equations and their Algebro-Geometric Solutions, Volume 2 (1+1 dimensional discrete models), Cambridge Studies in Advanced Mathematics Bd.114, Cambridge University Press 2008, with Spyridon Kamvissis: Stability of periodic soliton equations under short range perturbations, Phys.
Lett. A 364 (2007), 480–483.
Jacobi Operators and Completely Integrable Nonlinear Lattices, American Mathematical Society, Mathematical Surveys and Monographs, Volume 72, 2000, with Fritz Gesztesy and Barry Simon: Zeros of the Wronskian and renormalized oscillation theory, Am. J. Math. 118 (1996) 571–594.
In 2011 he became a member of the Austrian Academy of Sciences (ÖAW).