Johannes Jisse Duistermaat

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Hans Duistermaat

Johannes "Hans" Jisse Duistermaat (born December 20, 1942 in Utrecht , † March 19, 2010 ) was a Dutch mathematician.

Duistermaat studied from 1959 at the University of Utrecht , where he received his doctorate under Hans Freudenthal in 1968 (Energy and entropy as real morphisms for addition and order). In 1969/70 he was a post-doctoral student at Lund University with Lars Hörmander . From 1971 he was at the University of Nijmegen , where he was professor from 1972. From 1974 he was the successor of Freudenthal Professor of Mathematics at the University of Utrecht. Most recently he was academy professor there from 2004. He died unexpectedly of a complication of pneumonia.

Duistermaat dealt with analysis, for example Fourier integral operators (with Lars Hörmander ) with applications to classical mechanics and discrete integrable systems, spectra of elliptic operators (with Victor Guillemin ), symplectic differential geometry (equivariate cohomology and Duistermaat-Heckman formula for the stationary phase, with Gert Heckman ), algebraic geometry , harmonic analysis on semi-simple Lie groups , singularities of maps.

Duistermaat was a member of the Royal Dutch Academy of Sciences (KNAW) and a knight of the Order of the Dutch Lion from 1982 . He was an academy professor at the KNAW.

His 23 PhD students include Johan Kolk , Michael Ruzhansky and Hendrik Broer . Duistermaat was a passionate chess player.

Fonts

  • with Johan AC Kolk: Lie groups, Springer, Universitext, 2000
  • with Johan Kolk: Distribution theory and applications, Springer 2010
  • with Johan Kolk: Multidimensional real analysis 1,2, Cambridge University Press 2004
  • Fourier Integral Operators, Birkhäuser 1995
  • The heat kernel Lefschetz fixed point formula for the Spin-C-Dirac operator, Birkhäuser 1996
  • with Victor Guillemin, Lars Hörmander: Fourier Integral Operators- Selected classical articles by Guillemin, Duistermaat, Hörmander, Springer 1994 (series Mathematics past and present, editors Victor Guillemin, Jochen Brüning)
  • Discrete integrable systems: QRT Maps and Elliptic surfaces, Springer 2010
  • with Richard Cushman, Jedrzej Sniatycki: Geometry of nonholonomically constrained systems, World Scientific 2010

Web links

Individual evidence

  1. ^ Duistermaat, Guillemin The spectrum of positive elliptic operators and periodic bicharacteristics , Inventiones Mathematicae, Volume 29, 1975, pp. 39-79
  2. ↑ Duistermaat, Heckman On the variation in the cohomology of the symplectic form of the reduced phase space , Inventiones Mathematicae, Volume 69, 1982, pp. 259-268
  3. ^ Mathematics Genealogy Project
  4. ↑ Quisped, Roberts, Thompson
personal data
SURNAME Duistermaat, Johannes Jisse
ALTERNATIVE NAMES Duistermaat, Hans
BRIEF DESCRIPTION Dutch mathematician
DATE OF BIRTH December 20, 1942
PLACE OF BIRTH Utrecht
DATE OF DEATH March 19, 2010