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 popula ...

) 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". Professo ...

mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...

. He works in the area of

mathematical physics Mathematical physics refers to the development of 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 developm ...

; 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 h ...

s (

soliton In mathematics and physics, a soliton or solitary wave is a self-reinforcing wave packet that maintains its shape while it propagates at a constant velocity. Solitons are caused by a cancellation of nonlinear and dispersive effects in the me ...

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 ...

at the

Graz University of Technology Graz University of Technology (german: link=no, Technische Universität Graz, short ''TU Graz'') is one of five universities in Styria, Austria. It was founded in 1811 by Archduke John of Austria and is the oldest science and technology research ...

(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. al ...

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 in ...

. The title of his thesis supervised by

Fritz Gesztesy Friedrich "Fritz" Gesztesy (born 5 November 1953 in Austria) is a well-known Austrian-American mathematical physicist and Professor of Mathematics at Baylor University, known for his important contributions in spectral theory, functional analysi ...

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 hi ...

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 ...

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 The Austrian Science Fund (german: Fonds zur Förderung der wissenschaftlichen Forschung, FWF) is the most important Austrian funding organization for basic research. The FWF supports research in science, engineering, and the humanities through a ...

(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 In mathematics and its applications, classical Sturm–Liouville theory is the theory of ''real'' second-order ''linear'' ordinary differential equations of the form: for given coefficient functions , , and , an unknown function ''y = y''(''x'') ...

Jacobi operator A Jacobi operator, also known as Jacobi matrix, is a symmetric linear operator acting on sequences which is given by an infinite tridiagonal matrix. It is commonly used to specify systems of orthonormal polynomials over a finite, positive Borel me ...

s and the Toda lattice. He also works in

biomathematics Mathematical and theoretical biology, or biomathematics, is a branch of biology which employs theoretical analysis, mathematical models and abstractions of the living organisms to investigate the principles that govern the structure, development a ...

, in particular in the novel area of

breath gas analysis Breath gas analysis is a method for gaining information on the clinical state of an individual by monitoring volatile organic compounds (VOCs) present in the exhaled breath. Exhaled breath is naturally produced by the human body through expiration ...

, 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 **Ge ...

) 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 ...

, Volume 140, 2012,

* with Julian King, Helin Koc, Karl Unterkofler, Pawel Mochalski, Alexander Kupferthaler, Susanne Teschl, Hartmann Hinterhuber,

Anton Amann Anton Amann (20 June 1956 – 6 January 2015) was an Austrian chemist and Professor of chemistry at the Innsbruck Medical University. He worked in the area of physical chemistry, ECG analysis, and exhaled breath analysis. Amann was the ...

: ''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

Helge Holden Helge Holden (born 28 September 1956) is a Norwegian mathematician working in the field of differential equations and mathematical physics. He was Praeses of the Royal Norwegian Society of Sciences and Letters from 2014 to 2016. He earned the ...

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

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 no ...

: ''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