Hans Duistermaat: Difference between revisions

From Wikipedia, the free encyclopedia
Browse history interactively
← Previous editNext edit →
Content deleted Content added
VisualWikitext
m Changing short description from "Dutch mathematician" to "Dutch mathematician (1942–2010)" (Shortdesc helper)
Article expanded, several sources added (further work to be done)
Line 13: Line 13:
| workplaces = [[University of Utrecht]]
| workplaces = [[University of Utrecht]]
| alma_mater = [[University of Utrecht]]
| alma_mater = [[University of Utrecht]]
| thesis_title = Energy and Entropy as Real Morphisms for Addition and Order
| thesis_year = 1968
| doctoral_advisor = [[Hans Freudenthal]]
| doctoral_advisor = [[Hans Freudenthal]]
| doctoral_students = [[Henk Broer]], {{Interlanguage link|Gert Heckman|lt=Gert Heckman|de}}, {{Interlanguage link|Michael Ruzhansky|lt=Michael Ruzhansky|de|4=fr}}
| doctoral_students = Reyer Sjamaar
| known_for = [[Duistermaat–Heckman formula]]
| known_for = [[Duistermaat–Heckman formula]]
| awards =
| awards =
}}
}}


'''Johannes Jisse (Hans) Duistermaat''' ([[The Hague]], December 20, 1942 – [[Utrecht]], March 19, 2010) was a Dutch mathematician.<ref>{{Cite journal |last=van den Ban |first=Erik |last2=Kolk |first2=Johan |title=In Memoriam Hans Duistermaat (1942-2010): Grasping the essence |url=http://www.nieuwarchief.nl/serie5/pdf/naw5-2010-11-4-235.pdf |journal=Nieuw Archief voor Wiskunde |volume=11 |issue=5 |pages=235-237}}</ref><ref>{{Cite journal |date=2011 |editor-last=Guillemin |editor-first=Victor |editor2-last=Pelayo |editor2-first=Álvaro |editor3-last=Vũ Ngọc |editor3-first=San |editor4-last=Weinstein |editor4-first=Alan |editor4-link=Alan Weinstein |title=Remembering Johannes J. Duistermaat (1942–2010) |url=https://www.ams.org/notices/201106/201106FullIssue.pdf |journal=[[Notices of the American Mathematical Society]] |volume=58 |issue=6 |pages=794-802}}</ref><ref>{{Cite journal |last=Cushman |first=Richard |date=2011 |title=Hans Duistermaat (1942-2010) |url=https://www.ems-ph.org/journals/newsletter/pdf/2011-03-79.pdf |journal=Newsletter of the European Mathematical Society |publisher=[[European Mathematical Society]] |volume=79 |pages=17-19}}</ref><ref>{{Cite journal |last=Vũ Ngọc |first=San |date=2011 |title=Johannes Jisse (dit Hans) Duistermaat (1942-2010) |url=https://webspace.science.uu.nl/~kolk0101/Duistermaat%20IM/DuisSAN.pdf |journal=La Gazette des mathématiciens |language=fr |publisher=[[Société mathématique de France]] |volume=127 |pages=84-91}}</ref><ref>{{Cite journal |last=van der Vorst |first=H.A. |date=2011 |title=Levensbericht Johannes Jisse Duistermaat |url=https://dwc.knaw.nl/DL/levensberichten/PE00009241.pdf |journal=Jaarboek - Koninklijke Nederlandse Akademie van Wetenschappen |publisher=[[Royal Netherlands Academy of Arts and Sciences]]}}</ref><ref>{{Cite web |title=Academy of Europe: CV |url=https://www.ae-info.org/ae/Member/Duistermaat_Johannes_Jisse/CV |access-date=2022-08-16 |website=www.ae-info.org}}</ref>
'''Johannes Jisse (Hans) Duistermaat''' ([[The Hague]], December 20, 1942 – [[Utrecht]], March 19, 2010) was a Dutch mathematician.
⚫
He studied mathematics at [[Utrecht University]] from 1959 to 1965 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 operator]]s 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.


== Biography ==
⚫
He became a member of the [[Royal Netherlands Academy of Arts and Sciences]] in 1982,<ref>{{cite web|author= |url=http://www.dwc.knaw.nl/biografie/pmknaw/?pagetype=authorDetail&aId=PE00009241 |title=J.J. Duistermaat (1942 - 2010) |language=Dutch |publisher=Royal Netherlands Academy of Arts and Sciences |date= |accessdate=14 July 2015}}</ref> and [[Academy Professor]] in 2004. He supervised 25 PhD students.<ref>{{MathGenealogy|id=45240|name=Johannes Jisse Duistermaat}}</ref>
Duistermaat attended primary school in [[Jakarta]], at the time part of the [[Dutch East Indies]], where his family moved immediately after the end of [[World War II]]. In 1957, a few years after the [[Dutch–Indonesian Round Table Conference|Indonesian independence]], they came back to the Netherlands and Duistermaat completed his high school studies in [[Vlaardingen]].<ref>{{Cite news |last=de Waard |first=Peter |date=2010-04-12 |title=De man van de formule |language=nl |work=[[De Volkskrant]] |url=https://webspace.science.uu.nl/~kolk0101/Duistermaat%20IM/DuisVOLKS.jpg}}</ref><ref>{{Cite news |last=Kreulen |first=Edwin |date=2010-04-19 |title=De wiskunde bleef altijd roepen. Hans Duistermaat 1942-2010 |language=nl |pages=25 |work=[[Trouw]]}}</ref>


From 1959 to 1965 he studied studied mathematics at [[Utrecht University]], and he obtained his PhD degree at the same institution in 1968, with a thesis on [[thermodynamics]] entitled "''Energy and Entropy as Real Morphisms for Addition and Order''".<ref name=":0">{{MathGenealogy|id=45240|name=Johannes Jisse Duistermaat}}</ref> His original supervisor was the applied mathematician Günther K. Braun, who passed away one year before the thesis defense, so the official supervision was taken over by [[Hans Freudenthal]].
⚫
Duistermaat worked in many different areas of mathematics: [[classical mechanics]], [[symplectic geometry]], [[Fourier integral operator]]s, [[partial differential equations]], [[algebraic geometry]], [[harmonic analysis]], and [[dynamical systems]]. Apart from roughly 50 articles in refereed international journals, he has (co-)written 11 books. Among his best known research are his article with [[Victor Guillemin]] on spectra of elliptic operators and periodic bicharacteristics, his article with Gert Heckman on the [[Duistermaat–Heckman formula]], and his article with Alberto Grünbaum on the bispectral problem.


⚫
After a postdoctoral year 1969–70 in [[Lund University|Lund]], where he learned [[Fourier integral operator]]s 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, due to a cardiac arrest.<ref>{{Cite web |url=https://www.math.uu.nl/news/overlijden-hans.duistermaat.html |access-date=2022-08-16 |website=www.math.uu.nl}}</ref>
⚫
Apart from being an eminent mathematician, he was also a good chess player. In a simultaneous match of 10 against [[Anatoly Karpov]] in 1977, Duistermaat was the only one who did not lose.

⚫
He was elected a member of the [[Royal Netherlands Academy of Arts and Sciences]] in 1982,<ref>{{cite web|author= |url=http://www.dwc.knaw.nl/biografie/pmknaw/?pagetype=authorDetail&aId=PE00009241 |title=J.J. Duistermaat (1942 - 2010) |language=Dutch |publisher=Royal Netherlands Academy of Arts and Sciences |date= |accessdate=14 July 2015}}</ref> and of [[Academia Europaea]] in 1993<ref>{{Cite web |title=Academy of Europe: Duistermaat Johannes Jisse |url=https://www.ae-info.org/ae/Member/Duistermaat_Johannes_Jisse |access-date=2022-08-16 |website=www.ae-info.org}}</ref>. In 2007 he became a Knight of the [[Order of the Netherlands Lion]].<ref>{{Cite web |date=2007-04-27 |title=Lintjesregen: De opvallendste feiten op een rij |url=https://www.rtvutrecht.nl/nieuws/151747/lintjesregen-de-opvallendste-feiten-op-een-rij |access-date=2022-08-16 |website=www.rtvutrecht.nl |language=nl}}</ref>

⚫
Apart from being an eminent mathematician, he was also a good [[chess]] player. In a simultaneous match of 10 against [[Anatoly Karpov]] in 1977, Duistermaat was the only one who did not lose.<ref>{{Cite web |title=Simultaan Karpov (1977) {{!}} Schaakclub Oud Zuylen Utrecht |url=http://oudzuylenutrecht.nl/simultaan-karpov-1977/ |access-date=2022-08-16 |language=nl}}</ref>

== Research ==
⚫
Duistermaat worked in many different areas of mathematics: [[classical mechanics]], [[symplectic geometry]], [[Fourier integral operator]]s, [[partial differential equations]], [[algebraic geometry]], [[harmonic analysis]], and [[dynamical systems]]. Apart from roughly 50 articles in refereed international journals, he has (co-)written 11 books.

Among his best known research are his article with [[Victor Guillemin]] on spectra of [[Elliptic operator|elliptic operators]] and periodic bicharacteristics,<ref>{{Cite journal |last=Duistermaat |first=J. J. |last2=Guillemin |first2=V. W. |date=1975-02-01 |title=The spectrum of positive elliptic operators and periodic bicharacteristics |url=https://doi.org/10.1007/BF01405172 |journal=Inventiones mathematicae |language=en |volume=29 |issue=1 |pages=39–79 |doi=10.1007/BF01405172 |issn=1432-1297}}</ref> his article with {{Interlanguage link|Gert Heckman|lt=Gert Heckman|de}} on the [[Duistermaat–Heckman formula]],<ref>{{Cite journal |last=Duistermaat |first=J. J. |last2=Heckman |first2=G. J. |date=1982-06-01 |title=On the variation in the cohomology of the symplectic form of the reduced phase space |url=https://doi.org/10.1007/BF01399506 |journal=Inventiones mathematicae |language=en |volume=69 |issue=2 |pages=259–268 |doi=10.1007/BF01399506 |issn=1432-1297}}</ref> and his article with Alberto Grünbaum on the bispectral problem. In his book on [[Lie group|Lie groups]]<ref>{{Cite book |last=J. J. |first=Duistermaat |url=https://link.springer.com/book/10.1007/978-3-642-56936-4 |title=Lie Groups |last2=Kolk |first2=J. A. C. |publisher=[[Springer Verlag]] |year=2000 |isbn=978-3-540-15293-4 |language=en |doi=10.1007/978-3-642-56936-4}}</ref> he provided an alternative proof of the [[Lie's third theorem|third Lie theorem]], which will turn out to be crucial for proving the analoguos theorem for [[Lie groupoid|Lie groupoids]] and for its applications to [[Poisson geometry]].<ref>{{Cite journal |last=Sjamaar |first=Reyer |date=2011-10-25 |title=Hans Duistermaat's contributions to Poisson geometry |url=http://arxiv.org/abs/1110.5627 |journal=arXiv:1110.5627 [math] |doi=10.48550/arxiv.1110.5627}}</ref>

He supervised 25 PhD students.<ref name=":0" />


== Selected works ==
== Selected works ==
Line 39: Line 52:
{{reflist}}
{{reflist}}
* {{Citation | last1=Ban | first1=Erik van den | last2=Kolk | first2=Johan | title=Grasping the essence. In Memoriam Hans Duistermaat (1942–2010) | url=http://www.nieuwarchief.nl/serie5/deel011/dec2010/nawdec235.pdf | year=2010 | journal=Nieuw Archief voor Wiskunde | volume=5/11 | issue=4 | pages=235–237 | url-status=dead | archiveurl=https://web.archive.org/web/20110929010844/http://www.nieuwarchief.nl/serie5/deel011/dec2010/nawdec235.pdf | archivedate=2011-09-29 }}
* {{Citation | last1=Ban | first1=Erik van den | last2=Kolk | first2=Johan | title=Grasping the essence. In Memoriam Hans Duistermaat (1942–2010) | url=http://www.nieuwarchief.nl/serie5/deel011/dec2010/nawdec235.pdf | year=2010 | journal=Nieuw Archief voor Wiskunde | volume=5/11 | issue=4 | pages=235–237 | url-status=dead | archiveurl=https://web.archive.org/web/20110929010844/http://www.nieuwarchief.nl/serie5/deel011/dec2010/nawdec235.pdf | archivedate=2011-09-29 }}
* {{Citation | editor1-last=Guillemin | editor1-first=Victor | editor2-last=Pelayo | editor2-first=Álvaro | editor3-last=Ngoc | editor3-first=San Vu |display-editors = 3 | editor4-last=Weinstein | editor4-first=Alan | title=Remembering Johannes J. Duistermaat (1942--2010) | url=https://www.ams.org/notices/201106/ | year=2011 | journal=[[Notices of the American Mathematical Society]] | issn=0002-9920 | volume=58 | issue=6 | pages=794–802}}
* {{Citation | last1=Vũ Ngọc | first1=San | title=Johannes Jisse (dit Hans) Duistermaat (1942–2010) | url=http://smf4.emath.fr/en/Publications/Gazette/2011/127/smf_gazette_127_84-91.pdf | mr=2791390 | year=2011 | journal=Gazette des Mathématiciens | issn=0224-8999 | issue=127 | pages=84–91}}


== External links ==
== External links ==
* {{MathGenealogy|id=45240}}
* {{MathGenealogy|id=45240}}
* http://www.schaakclubutrecht.nl/histsimultaankarpov.html


{{Authority control}}
{{Authority control}}

Revision as of 21:17, 16 August 2022

Hans Duistermaat
Born(1942-12-20)December 20, 1942
The Hague
DiedMarch 19, 2010(2010-03-19) (aged 67)
Utrecht, Netherlands
Nationality Netherlands
Alma materUniversity of Utrecht
Known forDuistermaat–Heckman formula
Scientific career
FieldsMathematics
InstitutionsUniversity of Utrecht
Thesis Energy and Entropy as Real Morphisms for Addition and Order  (1968)
Doctoral advisorHans Freudenthal
Doctoral studentsHenk Broer, Gert Heckman [de], Michael Ruzhansky [de; fr]

Johannes Jisse (Hans) Duistermaat (The Hague, December 20, 1942 – Utrecht, March 19, 2010) was a Dutch mathematician.[1][2][3][4][5][6]

Biography

Duistermaat attended primary school in Jakarta, at the time part of the Dutch East Indies, where his family moved immediately after the end of World War II. In 1957, a few years after the Indonesian independence, they came back to the Netherlands and Duistermaat completed his high school studies in Vlaardingen.[7][8]

From 1959 to 1965 he studied studied mathematics at Utrecht University, and he obtained his PhD degree at the same institution in 1968, with a thesis on thermodynamics entitled "Energy and Entropy as Real Morphisms for Addition and Order".[9] His original supervisor was the applied mathematician Günther K. Braun, who passed away one year before the thesis defense, so the official supervision was taken over by 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, due to a cardiac arrest.[10]

He was elected a member of the Royal Netherlands Academy of Arts and Sciences in 1982,[11] and of Academia Europaea in 1993[12]. In 2007 he became a Knight of the Order of the Netherlands Lion.[13]

Apart from being an eminent mathematician, he was also a good chess player. In a simultaneous match of 10 against Anatoly Karpov in 1977, Duistermaat was the only one who did not lose.[14]

Research

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 roughly 50 articles in refereed international journals, he has (co-)written 11 books.

Among his best known research are his article with Victor Guillemin on spectra of elliptic operators and periodic bicharacteristics,[15] his article with Gert Heckman [de] on the Duistermaat–Heckman formula,[16] and his article with Alberto Grünbaum on the bispectral problem. In his book on Lie groups[17] he provided an alternative proof of the third Lie theorem, which will turn out to be crucial for proving the analoguos theorem for Lie groupoids and for its applications to Poisson geometry.[18]

He supervised 25 PhD students.[9]

Selected works

  • Duistermaat, J. J. (2011) [1996], Fourier integral operators, Modern Birkhäuser Classics, Birkhäuser/Springer, New York, doi:10.1007/978-0-8176-8108-1, ISBN 978-0-8176-8107-4, MR 1362544
  • Duistermaat, J. J. (2011), The heat kernel Lefschetz fixed point formula for the Spinc dirac operator, Boston: Birkhäuser, ISBN 978-0-8176-8247-7; 1st edition. 1996. ISBN 0-8176-3865-2.[19]
  • Duistermaat, J. J.; Guillemin, V. W. (1975), "The spectrum of positive elliptic operators and periodic bicharacteristics" (PDF), Inventiones Mathematicae, 29 (1): 39–79, doi:10.1007/BF01405172, hdl:10338.dmlcz/126178, MR 0405514, S2CID 189832135
  • 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, MR 0674406, S2CID 119943006
  • Duistermaat, J. J.; Grünbaum, F. A. (1986), "Differential equations in the spectral parameter", Communications in Mathematical Physics, 103 (2): 177–240, doi:10.1007/bf01206937, MR 0826863, S2CID 121915958

References

  1. ^ van den Ban, Erik; Kolk, Johan. "In Memoriam Hans Duistermaat (1942-2010): Grasping the essence" (PDF). Nieuw Archief voor Wiskunde. 11 (5): 235–237.
  2. ^ Guillemin, Victor; Pelayo, Álvaro; Vũ Ngọc, San; Weinstein, Alan, eds. (2011). "Remembering Johannes J. Duistermaat (1942–2010)" (PDF). Notices of the American Mathematical Society. 58 (6): 794–802.
  3. ^ Cushman, Richard (2011). "Hans Duistermaat (1942-2010)" (PDF). Newsletter of the European Mathematical Society. 79. European Mathematical Society: 17–19.
  4. ^ Vũ Ngọc, San (2011). "Johannes Jisse (dit Hans) Duistermaat (1942-2010)" (PDF). La Gazette des mathématiciens (in French). 127. Société mathématique de France: 84–91.
  5. ^ van der Vorst, H.A. (2011). "Levensbericht Johannes Jisse Duistermaat" (PDF). Jaarboek - Koninklijke Nederlandse Akademie van Wetenschappen. Royal Netherlands Academy of Arts and Sciences.
  6. ^ "Academy of Europe: CV". www.ae-info.org. Retrieved 2022-08-16.
  7. ^ de Waard, Peter (2010-04-12). "De man van de formule". De Volkskrant (in Dutch).
  8. ^ Kreulen, Edwin (2010-04-19). "De wiskunde bleef altijd roepen. Hans Duistermaat 1942-2010". Trouw (in Dutch). p. 25.
  9. ^ a b Johannes Jisse Duistermaat at the Mathematics Genealogy Project
  10. ^ www.math.uu.nl https://www.math.uu.nl/news/overlijden-hans.duistermaat.html. Retrieved 2022-08-16. {{cite web}}: Missing or empty |title= (help)
  11. ^ "J.J. Duistermaat (1942 - 2010)" (in Dutch). Royal Netherlands Academy of Arts and Sciences. Retrieved 14 July 2015.
  12. ^ "Academy of Europe: Duistermaat Johannes Jisse". www.ae-info.org. Retrieved 2022-08-16.
  13. ^ "Lintjesregen: De opvallendste feiten op een rij". www.rtvutrecht.nl (in Dutch). 2007-04-27. Retrieved 2022-08-16.
  14. ^ "Simultaan Karpov (1977) | Schaakclub Oud Zuylen Utrecht" (in Dutch). Retrieved 2022-08-16.
  15. ^ Duistermaat, J. J.; Guillemin, V. W. (1975-02-01). "The spectrum of positive elliptic operators and periodic bicharacteristics". Inventiones mathematicae. 29 (1): 39–79. doi:10.1007/BF01405172. ISSN 1432-1297.
  16. ^ Duistermaat, J. J.; Heckman, G. J. (1982-06-01). "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. ISSN 1432-1297.
  17. ^ J. J., Duistermaat; Kolk, J. A. C. (2000). Lie Groups. Springer Verlag. doi:10.1007/978-3-642-56936-4. ISBN 978-3-540-15293-4.
  18. ^ Sjamaar, Reyer (2011-10-25). "Hans Duistermaat's contributions to Poisson geometry". arXiv:1110.5627 [math]. doi:10.48550/arxiv.1110.5627.
  19. ^ Freed, Daniel S. (1997). "Review: The heat kernel Lefschetz fixed point formula for the Spinc dirac operator, by J. J. Duistermaat" (PDF). Bull. Amer. Math. Soc. (N.S.). 34 (1): 73–78. doi:10.1090/s0273-0979-97-00698-8.

External links

Retrieved from "https://en.wikipedia.org/w/index.php?title=Hans_Duistermaat&oldid=1104777680"