Spectral theory for Jacobi operators served as the focal point for the 1995 doctoral thesis completed by Gerald Teschl at the University of Missouri. Born in 1970 in Graz, Austria, he has established a professional career centered on mathematical physics, spanning complex areas such as soliton equations and the application of partial differential equations.
Academic Foundation and Training
Teschl began his formal education at the Graz University of Technology, completing his diploma thesis in physics in 1993. Seeking to expand his expertise in mathematics, he relocated to the University of Missouri, where he conducted doctoral research under the supervision of Fritz Gesztesy. Following his graduation, he undertook a postdoctoral position at the RWTH Aachen University during the 1996 and 1997 academic years.
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In May 1998, Teschl attained his Habilitation at the University of Vienna. This milestone marked the commencement of his tenure as a professor of mathematics at the institution. His research continues to focus on direct and inverse spectral theory, with particular attention to integrable partial differential equations, Sturm–Liouville theory, and the behavior of Jacobi operators and the Toda lattice.
Interdisciplinary Contributions
Beyond his work in theoretical physics, Teschl has branched into the field of biomathematics. He has contributed to physiological modeling, specifically regarding isoprene dynamics in exhaled breath gas analysis. Furthermore, he has authored educational materials, including a two-volume textbook on computer science mathematics co-written with Susanne Teschl, and graduate-level texts covering ordinary differential equations and quantum mechanics.
Recognition and Institutional Affiliation
Teschl has received multiple honors for his research contributions within the Austrian academic community. He was awarded the Ludwig Boltzmann Prize in 1997 and the Prize of the Austrian Mathematical Society in 1999. In 2006, the Austrian Science Fund (FWF) granted him the Start-Preis. He was elected as a member of the Austrian Academy of Sciences in 2011.
Fast facts
- Born: 1970, Graz, Austria
- Citizenship: Austria
- Education: Graz University of Technology; University of Missouri; RWTH Aachen University
- Primary Employer: University of Vienna
- Notable Awards: Start-Preis (2006), Ludwig Boltzmann Prize (1997)
- Membership: Austrian Academy of Sciences
- Fields: Mathematical physics, partial differential equations, biomathematics
Questions readers ask
What is the primary focus of Gerald Teschl’s mathematical research?
His work concentrates on mathematical physics, specifically direct and inverse spectral theory as applied to soliton equations, Jacobi operators, and Sturm–Liouville theory.
Has Teschl written any textbooks?
Yes, he authored 'Mathematik für Informatiker' with Susanne Teschl, as well as specialized texts on ordinary differential equations and quantum mechanics for the American Mathematical Society.
Achievements
- Ludwig Boltzmann Prize — 1997
- Prize of the Austrian Mathematical Society — 1999
- Held posts at University of Vienna
- Fields: mathematical biology, mathematical physics and partial differential equation



