Gerald Teschl (born 12 May 1970 in

Graz Graz (; sl, Gradec) is the capital city of the Austrian state of Styria and second-largest city in Austria after Vienna. As of 1 January 2021, it had a population of 331,562 (294,236 of whom had principal-residence status). In 2018, the popu ...

) is an

Austria Austria, , bar, Östareich officially the Republic of Austria, is a country in the southern part of Central Europe, lying in the Eastern Alps. It is a federation of nine states, one of which is the capital, Vienna, the most populous ...

n mathematical physicist and

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

of mathematics. He works in the area of

mathematical physics Mathematical physics refers to 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 t ...

; 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 operators in a variety of mathematical spaces. It is a result ...

with application to completely integrable

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to ...

s ( soliton equations).

Career

After studying

physics Physics is the natural science that studies matter, its 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 which rel ...

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

PhD PHD or PhD may refer to: * Doctor of Philosophy (PhD), an academic qualification Entertainment * '' PhD: Phantasy Degree'', a Korean comic series * ''Piled Higher and Deeper'', a web comic * Ph.D. (band), a 1980s British group ** Ph.D. (Ph.D. albu ...

in mathematics at the

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

. 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). The ultimate goal of a postdoctoral research position is to pu ...

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 many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including ...

at the

University of Vienna The University of Vienna (german: Universität Wien) is a public research university located in Vienna, Austria. It was founded by Duke Rudolph IV in 1365 and is the oldest university in the German-speaking world. With its long and rich h ...

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 The Austrian Physical Society (german: Österreichische Physikalische Gesellschaft) 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 ...

, 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 (ÖAW). His most important contributions are to the fields of Sturm–Liouville theory, Jacobi operators and the

Toda lattice The Toda lattice, introduced by , is a simple model for a one-dimensional crystal in solid state physics Solid-state physics is the study of rigid matter, or solids, through methods such as quantum mechanics, crystallography, electromagnetism, and ...

. 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 German(s) may refer to: * Germany (of or related to) **Germania (historical use) * Germans, citizens of Germany, people of German ancestry, or native speakers of the German language ** For citizens of Germany, see also German nationality law **Ger ...

) with his wife

Susanne Teschl Susanne Teschl (née Timischl, born 1971) is a biomathematician and professor of mathematics at the University of Applied Sciences Technikum Wien in Vienna, Austria. She is known for her research on the mathematical modeling of breath analysis. ...

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

: ''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

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