Gerald Teschl Gerald Teschl is an Austrian mathematical physicist and professor of mathematics . He works in the area of mathematical physics ; in particular direct and inverse spectral theory with application to completely integrable partial differential equations .Career After studying physics at the Graz University of Technology , he continued with a PhD in mathematics at the University of Missouri . The title of his thesis supervised by Fritz Gesztesy was Spectral Theory for Jacobi Operators . After a postdoctoral position at the Rheinisch-Westfälischen Technische Hochschule Aachen , 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 1997 he received the Ludwig Boltzmann Prize from the Austrian Physical Society , 1999 the Prize of the Austrian Mathematical Society . In 2006 he was awarded with the prestigious START-Preis by the Austrian Science Fund . In 2011 he became a member of the Austrian Academy of Sciences . His most important contributions are to the fields of Sturm–Liouville theory , Jacobi operators and the Toda lattice . He also works in biomathematics , in particular in the novel area of breath gas analysis , and has written a successful undergraduate textbook with his wife.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 , 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, 3. Auflage 2008,, Bd. 2, 2. Auflage 2007, with Fritz Gesztesy, Helge Holden and Johanna Michor: Soliton Equations and their Algebro-Geometric Solutions , Volume 2, 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, 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. 118 571–594.
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