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
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.
...
: ''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