Gerald Teschl

Gerald Teschl ( born May 12, 1970 in Graz) is an Austrian mathematician and professor at the Faculty of Mathematics at the University of Vienna.


Gerald Teschl was born May 12, 1970 in Graz, where he also studied at the Technical University from 1988 to 1993 physics. He then completed a doctorate degree in mathematics from the University of Missouri - Columbia, where he received his doctorate at Fritz Gesztesy 1995 with the theme Spectral Theory for Jacobi Operators. After scientific activity at the Rheinisch -Westfälische Technische Hochschule Aachen (1996/ 97) and the University of Vienna, he habilitated in May 1998 on the latter, where he has worked since then and was appointed University Professor in 2011.

He is married to the mathematician Susanne Teschl and has two sons.


It deals with, among other things, direct and inverse spectral theory and its application to integrable wave equations ( Soliton Equations ). His main contributions are in the fields of Sturm-Liouville theory, Jacobi Operators and the Toda lattice. He also works in the field of biomathematics, particularly of the respiratory gas analysis, and wrote with his wife, a successful two-volume textbook Mathematics for Computer Scientists.

Teschl belongs to the Working Group Mathematical Physics and Partial Differential Equations at the Faculty of Mathematics.


In 1997 he won the Ludwig Boltzmann Prize of the Austrian Physical Society, 1999 Promotion Prize of the Austrian Mathematical Society and in 2006 the START prize of the FWF. From 2011 to 2019 he is a member of the Young Academy of the Austrian Academy of Sciences.

Writings (selection )

  • Ordinary Differential Equations and Dynamical Systems, American Mathematical Society, Graduate Studies in Mathematics Vol 140, 2012, ISBN 978-0-8218-8328-0 online at
  • Mathematical Methods in Quantum Mechanics with Applications to Schrödinger Operators, American Mathematical Society, Graduate Studies in Mathematics Vol 99, 2009, ISBN 978-0-8218-4660-5. Online at
  • Susanne Teschl: Mathematics for Computer Scientists, 2 volumes, Springer Verlag, Vol 1 ( Discrete Mathematics and Linear Algebra ), 3rd edition 2008, ISBN 978-3-540-77431-0, Vol 2 (Analysis and Statistics), 2nd edition 2007, ISBN 978-3-540-72451-3.
  • With Fritz Gesztesy, Helge Holden, Johanna Michor and: Soliton Equations and Their algebraic - Geometric Solutions, Vol.2 (1 1 dimensional discrete models ), Cambridge Studies in Advanced Mathematics Bd.114, Cambridge University Press 2008, ISBN 978-0 - 521-75308-1.
  • Jacobi Operators and Completely Integrable Nonlinear Lattices, American Mathematical Society, Mathematical Surveys and Monographs Bd.72, 2000, ISBN 0-8218-1940-2. Online at
  • Almost Everything You Always Wanted to Know About the Toda Equation, annual report German mathematician Association, Vol 103, 2001, p.149 - 162.
  • Julian King, Helin Koc, Karl Unterkofler, Pawel Mochalski, Alexander copper Thaler, Susanne Teschl, Hartmann Behind Huber, Anton Amann: Physiological modeling of isoprene dynamics in exhaled breath. In: J. Theoret. Biol 267 (2010), pp. 626-637. online at