Fritz Gesztesy
Encyclopedia
Friedrich „Fritz“ Gesztesy (born 5 November 1953, Austria
) is a well-known Austrian-American mathematical physicist and Professor
of Mathematics
at the University of Missouri
, known for his important contributions in spectral theory
, functional analysis
, nonrelativistic
quantum mechanics
(particularly Schrödinger operators), and completely integrable systems (soliton
equations). He has authored more than 200 publications on mathematics and physics.
at the University of Graz
, he continued with his PhD
in theoretical physics
. The title of his dissertation 1976 with Heimo Latal and Ludwig Streit was Renormalization, Nelson's symmetry and energy densities in a field theory with quadratic interaction. After working at the Institut for Theoretical Physics of the University of Graz (1977/82) and several stays abroad at the Bielefeld University
(Alexander von Humboldt Scholarship 1980-81 and 1983–84) and at the California Institute of Technology
(Max Kade Scholarship 1987-88) he was appointed at the University of Missouri
where he is now Houchins Distinguished Professor.
In 1983 he got the Theodor Körner Award in Natural Sciences, in 1987 the Ludwig Boltzmann Prize
of the Austrian Physical Society
. In 2002 he was elected to the Royal Norwegian Society of Sciences and Letters
.
Austria
Austria , officially the Republic of Austria , is a landlocked country of roughly 8.4 million people in Central Europe. It is bordered by the Czech Republic and Germany to the north, Slovakia and Hungary to the east, Slovenia and Italy to the south, and Switzerland and Liechtenstein to the...
) is a well-known Austrian-American mathematical physicist and Professor
Professor
A professor is a scholarly teacher; the precise meaning of the term varies by country. Literally, professor derives from Latin as a "person who professes" being usually an expert in arts or sciences; a teacher of high rank...
of Mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...
at the University of Missouri
University of Missouri
The University of Missouri System is a state university system providing centralized administration for four universities, a health care system, an extension program, five research and technology parks, and a publishing press. More than 64,000 students are currently enrolled at its four campuses...
, known for his important contributions in spectral theory
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 of studies of linear algebra and the solutions of...
, functional analysis
Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure and the linear operators acting upon these spaces and respecting these structures in a suitable sense...
, nonrelativistic
Theory of relativity
The theory of relativity, or simply relativity, encompasses two theories of Albert Einstein: special relativity and general relativity. However, the word relativity is sometimes used in reference to Galilean invariance....
quantum mechanics
Quantum mechanics
Quantum mechanics, also known as quantum physics or quantum theory, is a branch of physics providing a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter. It departs from classical mechanics primarily at the atomic and subatomic...
(particularly Schrödinger operators), and completely integrable systems (soliton
Soliton
In mathematics and physics, a soliton is a self-reinforcing solitary wave that maintains its shape while it travels at constant speed. Solitons are caused by a cancellation of nonlinear and dispersive effects in the medium...
equations). He has authored more than 200 publications on mathematics and physics.
Career
After studying physicsPhysics
Physics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...
at the University of Graz
University of Graz
The University of Graz , a university located in Graz, Austria, is the second-largest and second-oldest university in Austria....
, he continued with his PhD
PHD
PHD may refer to:*Ph.D., a doctorate of philosophy*Ph.D. , a 1980s British group*PHD finger, a protein sequence*PHD Mountain Software, an outdoor clothing and equipment company*PhD Docbook renderer, an XML renderer...
in theoretical physics
Theoretical physics
Theoretical physics is a branch of physics which employs mathematical models and abstractions of physics to rationalize, explain and predict natural phenomena...
. The title of his dissertation 1976 with Heimo Latal and Ludwig Streit was Renormalization, Nelson's symmetry and energy densities in a field theory with quadratic interaction. After working at the Institut for Theoretical Physics of the University of Graz (1977/82) and several stays abroad at the Bielefeld University
Bielefeld University
Bielefeld University is a university in Bielefeld, Germany. Founded in 1969, it is one of the country's newer universities, and considers itself a "reform" university, following a different style of organization and teaching than the established universities...
(Alexander von Humboldt Scholarship 1980-81 and 1983–84) and at the California Institute of Technology
California Institute of Technology
The California Institute of Technology is a private research university located in Pasadena, California, United States. Caltech has six academic divisions with strong emphases on science and engineering...
(Max Kade Scholarship 1987-88) he was appointed at the University of Missouri
University of Missouri
The University of Missouri System is a state university system providing centralized administration for four universities, a health care system, an extension program, five research and technology parks, and a publishing press. More than 64,000 students are currently enrolled at its four campuses...
where he is now Houchins Distinguished Professor.
In 1983 he got the Theodor Körner Award in Natural Sciences, in 1987 the Ludwig Boltzmann Prize
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....
of the Austrian Physical Society
Austrian Physical Society
-History:Until 1938 Austrian physicists were part of the German Physical Society. On December 13, 1950, it was decided to found a separate society for Austria and Fritz Kohlrausch was elected as first president in 1951.-Prizes:...
. In 2002 he was elected to the Royal Norwegian Society of Sciences and Letters
Royal Norwegian Society of Sciences and Letters
The Royal Norwegian Society of Sciences and Letters is a learned society based in Trondheim, Norway.-History:DKNVS was founded in 1760 by bishop of Nidaros Johan Ernst Gunnerus, headmaster at the Trondheim Cathedral School Gerhard Schøning and Councillor of State Peter Frederik Suhm under the name...
.
Selected publications
- with Sergio AlbeverioSergio AlbeverioSergio Albeverio is a Swiss mathematician working in the field of differential equations and mathematical physics.He studied at the ETH Zurich where he also did his PhD in 1967 under the direction of Res Jost...
, Raphael Høegh-KrohnRaphael Høegh-KrohnJan Raphael Høegh-Krohn was a Norwegian mathematician.He finished his Ph.D. in 1966 entitled On Partly Gentle Perturbation with Application to Perturbation by Annihilation-Creation Operator under the supervision of Kurt Friedrichs at the New York University.He has authored over 150 papers and is...
and Helge HoldenHelge HoldenHelge Holden is a Norwegian mathematician working in the field of Differential equations and Mathematical physics.He took the dr.philos. degree at the University of Oslo in 1985. The title of his dissertation with Raphael Høegh-Krohn was Point Interactions and the Short-Range Expansion. A Solvable...
: " Solvable Models in Quantum Mechanics", 2nd edition, AMS-Chelsea Series, Amer. Math. Soc., 2005 - with Helge Holden: Soliton Equations and their Algebro-Geometric Solutions, Bd.1 (1+1 dimensional continuous models), Cambridge Studies in Advanced Mathematics Bd.79, Cambridge University Press 2003
- with Helge Holden, Johanna Michor, and Gerald TeschlGerald TeschlGerald Teschl is an Austrian mathematical physicist and Professor of Mathematics.He is working in the area of mathematical physics; in particular direct and inverse spectral theory with application to completely integrable partial differential equations .-Career:After studying physics at the Graz...
: Soliton Equations and their Algebro-Geometric Solutions, Bd.2 (1+1 dimensional discrete models), Cambridge Studies in Advanced Mathematics Bd.114, Cambridge University Press 2008 - with Barry SimonBarry SimonBarry Simon is an eminent American mathematical physicist and the IBM Professor of Mathematics and Theoretical Physics at Caltech, known for his prolific contributions in spectral theory, functional analysis, and nonrelativistic quantum mechanics , including the connections to atomic and...
, The xi function, Acta Math. 176 (1996), 49–71. - with Rudi Weikard, Picard potentials and Hill’s equation on a torus, Acta Math. 176 (1996), 73–107.
- with Rudi Weikard, A characterization of all elliptic algebro-geometric solutions of the AKNS hierarchy, Acta Math. 181 (1998), 63–108.
- with Barry Simon, A new approach to inverse spectral theory. II. General real potentials and the connection to the spectral measure, Ann. of Math. 2 152 (2000), 593–643.