Fritz Gesztesy

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Fritz Gesztesy
Fritz Gesztesy.jpg
Born (1953-11-05) 5 November 1953 (age 62)
Leibnitz, Austria
Residence Columbia, Missouri
Fields Mathematics, Mathematical Physics
Institutions University of Graz, University of Missouri
Alma mater University of Graz
Doctoral advisor Heimo Latal and Ludwig Streit

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.


After studying 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.[1] 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. In 2012 he became a fellow of the American Mathematical Society.[2]

Among his students is Gerald Teschl.

Selected publications[edit]

  • with Sergio Albeverio, Raphael Høegh-Krohn and Helge Holden: " 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 Teschl: 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 Simon, 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



External links[edit]