Gerald Teschl (born 12 May 1970 in

Graz Graz () is the capital of the Austrian Federal states of Austria, federal state of Styria and the List of cities and towns in Austria, second-largest city in Austria, after Vienna. On 1 January 2025, Graz had a population of 306,068 (343,461 inc ...

) is an

Austria Austria, formally the Republic of Austria, is a landlocked country in Central Europe, lying in the Eastern Alps. It is a federation of nine Federal states of Austria, states, of which the capital Vienna is the List of largest cities in Aust ...

n mathematical physicist and

professor Professor (commonly abbreviated as Prof.) is an Academy, academic rank at university, universities and other tertiary education, post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin ...

mathematics Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many ar ...

. He works in the area of

mathematical physics Mathematical physics is the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the de ...

; in particular direct and inverse

spectral theory In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operator (mathematics), operators in a variety of mathematical ...

with application to completely integrable

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...

s (

soliton In mathematics and physics, a soliton is a nonlinear, self-reinforcing, localized wave packet that is , in that it preserves its shape while propagating freely, at constant velocity, and recovers it even after collisions with other such local ...

equations).

Career

After studying

physics Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge whi ...

at the Graz University of Technology (diploma thesis 1993), he continued with a

PhD A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of graduate study and original research. The name of the deg ...

at the

University of Missouri The University of Missouri (Mizzou or MU) is a public university, public Land-grant university, land-grant research university in Columbia, Missouri, United States. It is Missouri's largest university and the flagship of the four-campus Univers ...

. The title of his thesis supervised by Fritz Gesztesy was ''Spectral Theory for Jacobi Operators'' (1995). After a

postdoctoral A postdoctoral fellow, postdoctoral researcher, or simply postdoc, is a person professionally conducting research after the completion of their doctoral studies (typically a PhD). Postdocs most commonly, but not always, have a temporary acade ...

position at the Rheinisch-Westfälischen Technische Hochschule Aachen (1996/97), he moved to Vienna, where he received his

Habilitation Habilitation is the highest university degree, or the procedure by which it is achieved, in Germany, France, Italy, Poland and some other European and non-English-speaking countries. The candidate fulfills a university's set criteria of excelle ...

at the

University of Vienna The University of Vienna (, ) is a public university, public research university in Vienna, Austria. Founded by Rudolf IV, Duke of Austria, Duke Rudolph IV in 1365, it is the oldest university in the German-speaking world and among the largest ...

in May 1998. Since then he has been a professor of mathematics there. In 1997 he received the

Ludwig Boltzmann Prize The Ludwig Boltzmann Prize is awarded by the Austrian Physical Society and honors outstanding achievements in theoretical physics. It is named after the famous Austrian physicist Ludwig Boltzmann. The prize was established at the annual meeting o ...

from the

Austrian Physical Society The Austrian Physical Society () is the national physical society of Austria. History Until 1938, Austrian physicists were part of the German Physical Society. On 13 December 1950, it was decided to found a separate society for Austria and Fritz ...

, 1999 the Prize of the Austrian Mathematical Society. In 2006 he was awarded with the prestigious START-Preis by the Austrian Science Fund (FWF). In 2011 he became a member of the

Austrian Academy of Sciences The Austrian Academy of Sciences (; ÖAW) is a legal entity under the special protection of the Republic of Austria. According to the statutes of the Academy its mission is to promote the sciences and humanities in every respect and in every fi ...

(ÖAW). His most important contributions are to the fields of

Sturm–Liouville theory In mathematics and its applications, a Sturm–Liouville problem is a second-order linear ordinary differential equation of the form \frac \left (x) \frac\right+ q(x)y = -\lambda w(x) y for given functions p(x), q(x) and w(x), together with some ...

, 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 (Mathematics for Computer Science, in German) with his wife Susanne Teschl.

Selected publications

*''Ordinary Differential Equations and Dynamical Systems'', American Mathematical Society,

Graduate Studies in Mathematics Graduate Studies in Mathematics (GSM) is a series of graduate-level textbooks in mathematics published by the American Mathematical Society (AMS). The books in this series are published ihardcoverane-bookformats. List of books *1 ''The General T ...

, 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 Barry Martin Simon (born 16 April 1946) is an American mathematical physicist and was the IBM professor of Mathematics and Theoretical Physics at Caltech, known for his prolific contributions in spectral theory, functional analysis, and nonr ...

: ''Zeros of the Wronskian and renormalized oscillation theory'', Am. J. Math. 118 (1996) 571–594

External links

Prof. Teschl's Homepage

* {{DEFAULTSORT:Teschl, Gerald 1970 births Living people Scientists from Graz 20th-century Austrian mathematicians 21st-century Austrian mathematicians Austrian physicists Academic staff of the University of Vienna University of Missouri alumni University of Missouri mathematicians