Hans Duistermaat
Hans Duistermaat | |
|---|---|
| Born | December 20, 1942 |
| Died | March 19, 2010 (aged 67) |
| Nationality |  Netherlands |
| Alma mater | University of Utrecht |
| Scientific career | |
| Fields | Mathematics |
| Institutions | University of Utrecht |
| Doctoral advisor | Hans Freudenthal |
| Doctoral students | Johan Kolk Erik van den Ban |
Johannes Jisse (Hans) Duistermaat was a Dutch mathematician. He studied mathematics at Utrecht University from 1959-65 and obtained his PhD degree there in 1968 under the supervision of Hans Freudenthal. After a postdoctoral year 1969-70 in Lund, where he learned Fourier integral operators from Lars Hörmander, he went in 1971-74 to Nijmegen, where he became full professor in 1972. In 1974 he returned to Utrecht on the chair of professor Freudenthal, where he stayed until his unexpected death in March 2010.
He became member of the Royal Netherlands Academy of Arts and Sciences in 1982, and Academy Professor in 2004. He supervised 24 PhD students.
Duistermaat worked in many different areas of mathematics: classical mechanics, symplectic geometry, Fourier integral operators, partial differential equations, algebraic geometry, harmonic analysis, and dynamical systems. Apart from 43 articles in refereed international journals, he has (co-)written 11 books. His best known research is probably his article with Guillemin on spectra of elliptic operators and periodic bicharacteristics, his article with Heckman on the Duistermaat-Heckman formula, and his article with Gronbaum on the bispectral problem.
Selected works
- Duistermaat, J. J. (1994), Fourier integral operators, (Progress in Mathematics), Birkhäuser 1995. ISBN 0-817-63821-0.
- Duistermaat, J. J.; Heckman, G. J. (1982), "On the variation in the cohomology of the symplectic form of the reduced phase space", Inventiones Mathematicae, 69 (2): 259–268, doi:10.1007/BF01399506, MR674406