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Gerald Teschl

From Wikipedia, the free encyclopedia
Austrian mathematician (born 1970)
Gerald Teschl
Born (1970-05-12)12 May 1970 (age 55)
Alma materUniversity of Missouri
Scientific career
FieldsMathematics,Mathematical physics
InstitutionsRWTH Aachen,University of Vienna
Doctoral advisorFritz Gesztesy

Gerald Teschl (born 12 May 1970 inGraz) is anAustrianmathematical physicist andprofessor ofmathematics.He works in the area ofmathematical physics; in particular direct and inversespectral theory with application to completely integrablepartial differential equations (soliton equations).

Career

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After studyingphysics at theGraz University of Technology (diploma thesis 1993), he continued with aPhD inmathematics at theUniversity of Missouri. The title of his thesis supervised byFritz Gesztesy wasSpectral Theory for Jacobi Operators (1995). After apostdoctoral position at theRheinisch-Westfälischen Technische Hochschule Aachen (1996/97), he moved to Vienna, where he received hisHabilitation at theUniversity of Vienna in May 1998. Since then he has been a professor of mathematics there.

In 1997 he received theLudwig Boltzmann Prize from theAustrian Physical Society, 1999 thePrize of the Austrian Mathematical Society. In 2006 he was awarded with the prestigiousSTART-Preis by theAustrian Science Fund (FWF). In 2011 he became a member of theAustrian Academy of Sciences (ÖAW).

His most important contributions are to the fields ofSturm–Liouville theory,Jacobi operators and theToda lattice. He also works inbiomathematics, in particular in the novel area ofbreath gas analysis, and has written a successful undergraduate textbook (Mathematics for Computer Science, inGerman) with his wifeSusanne Teschl.

Selected publications

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  • Ordinary Differential Equations and Dynamical Systems, American Mathematical Society,Graduate Studies in Mathematics, Volume 140, 2012,ISBN 978-0-8218-8328-0[1]
  • 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.[2]
  • Mathematical Methods in Quantum Mechanics with Applications to Schrödinger Operators, American Mathematical Society, Graduate Studies in Mathematics, Volume 99, 2009,ISBN 978-0-8218-4660-5[3]
  • withSusanne Teschl:Mathematik für Informatiker, 2 Bände, Springer Verlag, Bd. 1 (Diskrete Mathematik und Lineare Algebra), 3. Auflage 2008,ISBN 978-3-540-77431-0, Bd. 2 (Analysis und Statistik), 2. Auflage 2007,ISBN 978-3-540-72451-3
  • withFritz 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,ISBN 978-0-521-75308-1
  • 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,ISBN 0-8218-1940-2[4]
  • withFritz Gesztesy andBarry Simon:Zeros of the Wronskian and renormalized oscillation theory, Am. J. Math. 118 (1996) 571–594.[5]doi:10.1353/ajm.1996.0024

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