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His work with
Alberto GrĂŒnbaum on the bispectral problem was influential for integrable systems and noncommutative algebraic geometry. In the last stages of his life he became interested in algebraic geometry and wrote a book on QRT maps and
2031:
272:". His original supervisor was the applied mathematician GĂŒnther K. Braun, who passed away one year before the thesis defense, so the official supervision was taken over by geometer
387:
Duistermaat dropped thermodynamics after his PhD, due to dissents between mathematicians and physicists in
Utrecht. Nevertheless, during his PhD research he read the work by
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Duistermaat, J. J.; Heckman, G. J. (1982-06-01). "On the variation in the cohomology of the symplectic form of the reduced phase space".
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Duistermaat, J. J.; Heckman, G. J. (1982), "On the variation in the cohomology of the symplectic form of the reduced phase space",
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1965:
479:. Other contributions in this field include a generalisation of the Morse index theorem and a contribution to the problem of
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298:, allowing him to focus exclusively on research, even after his official retirement in 2007. He died in March 2010, due to
2011:
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1869:"On the Behavior of Spatial Critical Points under Gaussian Blurring A Folklore Theorem and Scale-Space Constraints"
264:, and he obtained his PhD degree at the same institution in 1968, with a thesis on the mathematical structures of
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283:(1969â70), Duistermaat returned to the Netherlands in 1971 and became in 1972 full professor in
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1543:[Equivariant characteristic classes. Localisation formula in equivariant cohomology].
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1328:(1975-02-01). "The spectrum of positive elliptic operators and periodic bicharacteristics".
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Loog, Marco; Duistermaat, Johannes; Florack, Luc M. J. (2001). Kerckhove, Michael (ed.).
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Sjamaar, Reyer (2011-10-25). "Hans
Duistermaat's contributions to Poisson geometry".
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Duistermaat, Hans (2001). "The universal barrier function of a convex polytope".
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Circumspice. Various Papers in Around
Mathematics in Honour of Arnoud van Rooij
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1508:"In Memoriam Hans Duistermaat (1942-2010): Recollections of a godsend talent"
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In symplectic geometry he is well known for his article with his PhD student
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636:"The spectrum of positive elliptic operators and periodic bicharacteristics"
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1968:
The heat kernel
Lefschetz fixed point formula for the Spin dirac operator
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The heat kernel
Lefschetz fixed point formula for the Spin dirac operator
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885:[Mathematics always keeps calling. Hans Duistermaat 1942-2010]
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Apart from being an eminent mathematician, Duistermaat was also a good
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1191:[Annual award celebration: the most notable facts in a row].
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Discrete integrable systems : QRT Maps and
Elliptic Surfaces
935:"In Memoriam Hans Duistermaat (1942-2010): Grasping the essence"
459:, which will later be placed in the more general framework of
437:, later, together with Richard Cushman, he extended it to the
2032:
Members of the Royal
Netherlands Academy of Arts and Sciences
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Jaarboek - Koninklijke
Nederlandse Akademie van Wetenschappen
883:"De wiskunde bleef altijd roepen. Hans Duistermaat 1942-2010"
566:, Modern BirkhÀuser Classics, BirkhÀuser/Springer, New York,
155:
Energy and
Entropy as Real Morphisms for Addition and Order
270:
Energy and Entropy as Real Morphisms for Addition and Order
1650:"Symplectic reduction and Riemann-Roch for circle actions"
332:
in 1977, Duistermaat was the only one who did not lose.
1906:"Geomagnetic reversals and the stochastic exit problem"
521:, which led to the thesis of Christiaan Stolk on the
1215:"Johannes Jisse (dit Hans) Duistermaat (1942-2010)"
1087:[Life story of Johannes Jisse Duistermaat]
830:"In memoriam: Prof. dr. Johannes Jisse Duistermaat"
344:, but his research covered many different areas in
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1722:"Differential equations in the spectral parameter"
1720:Duistermaat, J. J.; GrĂŒnbaum, F. A. (1986-06-01).
743:"Differential equations in the spectral parameter"
429:Duistermaat introduced the notion of monodromy in
1189:"Lintjesregen: De opvallendste feiten op een rij"
1017:"Remembering Johannes J. Duistermaat (1942â2010)"
399:, most prominently during his collaboration with
533:, collaborated with biomedical technologists on
1057:Newsletter of the European Mathematical Society
1387:Communications on Pure and Applied Mathematics
1142:Royal Netherlands Academy of Arts and Sciences
1097:Royal Netherlands Academy of Arts and Sciences
328:player. In a simultaneous match of 10 against
311:Royal Netherlands Academy of Arts and Sciences
1873:Scale-Space and Morphology in Computer Vision
1817:On the Modeling and Inversion of Seismic Data
1418:Bulletin of the American Mathematical Society
634:Duistermaat, J. J.; Guillemin, V. W. (1975),
229:, March 19, 2010) was a Dutch mathematician.
8:
1904:Hoyng, P.; Duistermaat, J. J. (2004-10-01).
1599:"On the Morse index in variational calculus"
1025:Notices of the American Mathematical Society
741:Duistermaat, J. J.; GrĂŒnbaum, F. A. (1986),
260:From 1959 to 1965 he studied mathematics at
1681:J. J., Duistermaat; Kolk, J. A. C. (2000).
1564:"The moment map and equivariant cohomology"
1414:"The quantum mechanical spherical pendulum"
317:in 1993. In 2007 he became a Knight of the
1085:"Levensbericht Johannes Jisse Duistermaat"
433:as obstruction to the existence of global
245:, where his family moved after the end of
29:
18:
1988:
1875:. Berlin, Heidelberg: Springer: 183â192.
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1581:
1545:Comptes rendus de l'Académie des sciences
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975:
1412:Cushman, R.; Duistermaat, J. J. (1988).
933:van den Ban, Erik; Kolk, Johan (2010).
797:
237:Duistermaat attended primary school in
1727:Communications in Mathematical Physics
1247:[Simultaneous Karpov (1977)].
748:Communications in Mathematical Physics
1208:
1206:
1204:
1113:[Death of Hans Duistermaat].
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418:. This led him also to the work with
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2047:Academic staff of Utrecht University
1383:"On global action-angle coordinates"
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481:quantisation commutes with reduction
409:Propagation of singularities theorem
403:, when they developed the theory of
859:[The man of the formula].
14:
2027:20th-century Dutch mathematicians
810:Geometry and Quantum Theory (GQT)
290:In 2004 he was awarded a special
249:. In 1957, a few years after the
219:Johannes Jisse (Hans) Duistermaat
1854:Katholieke Universiteit Nijmegen
1597:Duistermaat, J. J (1976-08-01).
1275:"Fourier integral operators. II"
1138:"J.J. Duistermaat (1942 - 2010)"
1011:; Pelayo, Ălvaro; VĆ© Ngá»c, San;
513:Duistermaat contributed also to
426:and periodic bicharacteristics.
391:, and in particular encountered
88:
1562:Atiyah, M.F.; Bott, R. (1984).
1431:10.1090/S0273-0979-1988-15705-9
552:He supervised 25 PhD students.
422:on the link between spectra of
309:He was elected a member of the
16:Dutch mathematician (1942â2010)
1230:Société mathématique de France
1050:"Hans Duistermaat (1942-2010)"
855:de Waard, Peter (2010-04-12).
370:partial differential equations
340:Duistermaat defined himself a
35:Duistermaat in Berkeley (1981)
1:
2012:Mathematics Genealogy Project
1990:10.1090/s0273-0979-97-00698-8
1977:Bull. Amer. Math. Soc. (N.S.)
1654:Mathematical Research Letters
1249:Schaakclub Oud Zuylen Utrecht
1222:La Gazette des mathématiciens
1111:"Overlijden Hans Duistermaat"
1065:European Mathematical Society
913:Mathematics Genealogy Project
881:Kreulen, Edwin (2010-04-19).
319:Order of the Netherlands Lion
279:After a postdoctoral stay in
241:, at the time capital of the
1618:10.1016/0001-8708(76)90074-8
1583:10.1016/0040-9383(84)90021-1
1163:"Johannes Jisse Duistermaat"
1083:van der Vorst, H.A. (2011).
562:Duistermaat, J. J. (2011) ,
498:and for its applications to
1779:Duistermaat, J. J. (2010).
1515:Nieuw Archief voor Wiskunde
1381:Duistermaat, J. J. (1980).
942:Nieuw Archief voor Wiskunde
615:Duistermaat, J. J. (1996).
596:Duistermaat, J. J. (2011),
457:DuistermaatâHeckman formula
116:DuistermaatâHeckman formula
2078:
1814:Stolk, Christiaan (2000).
909:Johannes Jisse Duistermaat
564:Fourier integral operators
405:Fourier integral operators
366:Fourier integral operators
2042:Utrecht University alumni
2037:Scientists from The Hague
1932:10.1209/epl/i2004-10243-1
1697:10.1007/978-3-642-56936-4
1667:10.4310/MRL.1995.v2.n3.a3
1245:"Simultaan Karpov (1977)"
1048:Cushman, Richard (2011).
572:10.1007/978-0-8176-8108-1
523:inversion of seismic data
517:. He was a consultant to
212:
121:
28:
1881:10.1007/3-540-47778-0_15
1456:Inventiones Mathematicae
1331:Inventiones Mathematicae
1243:Beekman, Robert (2016).
698:Inventiones Mathematicae
644:Inventiones Mathematicae
435:action-angle coordinates
1970:, by J. J. Duistermaat"
1823:(PhD thesis). Utrecht:
1604:Advances in Mathematics
1197:(in Dutch). 2007-04-27.
895:(in Dutch). p. 25.
857:"De man van de formule"
393:contact transformations
251:Indonesian independence
1785:. New York: Springer.
1506:Heckman, Gert (2010).
1399:10.1002/cpa.3160330602
602:, Boston: BirkhÀuser,
547:Earth's magnetic field
461:equivariant cohomology
225:, December 20, 1942 â
1213:VĆ© Ngá»c, San (2011).
292:academy professorship
143:University of Utrecht
106:University of Utrecht
1825:Universiteit Utrecht
1324:Duistermaat, J. J.;
1269:Duistermaat, J. J.;
525:. He also worked on
354:mathematical physics
300:non-Hodgkin lymphoma
1924:2004EL.....68..177H
1911:Europhysics Letters
1740:1986CMaPh.103..177D
1648:; Wu, Siye (1995).
1646:Meinrenken, Eckhard
1640:Duistermaat, Hans;
1469:1982InMat..69..259D
1344:1975InMat..29...39D
761:1986CMaPh.103..177D
711:1982InMat..69..259D
657:1975InMat..29...39D
515:applied mathematics
463:, independently by
431:Hamiltonian systems
397:microlocal analysis
362:symplectic geometry
358:classical mechanics
1749:10.1007/BF01206937
1477:10.1007/BF01399506
1352:10.1007/BF01405172
1294:10.1007/BF02392165
1116:Utrecht University
806:"Hans Duistermaat"
769:10.1007/bf01206937
719:10.1007/BF01399506
673:10338.dmlcz/126178
665:10.1007/BF01405172
543:polarity reversals
531:convex programming
424:elliptic operators
374:algebraic geometry
262:Utrecht University
2062:Academia Europaea
1890:978-3-540-47778-5
1792:978-0-387-72923-7
1706:978-3-540-15293-4
1642:Guillemin, Victor
1287:(none): 183â269.
1168:Academia Europaea
1009:Guillemin, Victor
835:Academia Europaea
609:978-0-8176-8247-7
581:978-0-8176-8107-4
527:barrier functions
519:Royal Dutch Shell
508:elliptic surfaces
492:third Lie theorem
382:dynamical systems
378:harmonic analysis
342:geometric analyst
315:Academia Europaea
243:Dutch East Indies
216:
215:
196:Michael Ruzhansky
177:Doctoral students
123:Scientific career
51:December 20, 1942
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2008:Hans Duistermaat
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500:Poisson geometry
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420:Victor Guillemin
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313:in 1982, and of
274:Hans Freudenthal
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171:Hans Freudenthal
166:Doctoral advisor
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102:Alma mater
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1547:(in French).
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32:
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1983:(1): 73â78.
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1976:
1967:
1956:
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1338:(1): 39â79.
1335:
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1278:
1264:
1253:. Retrieved
1248:
1238:
1225:
1221:
1192:
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1166:
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1140:(in Dutch).
1132:
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1114:
1105:
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890:
860:
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833:
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746:
702:
696:
651:(1): 39â79,
648:
642:
616:
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446:Gert Heckman
443:
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386:
356:, including
339:
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247:World War II
236:
218:
217:
185:Gert Heckman
154:
139:Institutions
122:
67:(2010-03-19)
2057:2010 deaths
2052:1942 births
1576:(1): 1â28.
1194:RTV Utrecht
865:(in Dutch).
617:1st edition
449: [
412: [
255:Vlaardingen
199: [
188: [
133:Mathematics
96:Netherlands
84:Nationality
77:Netherlands
2021:Categories
1918:(2): 177.
1856:: 207â220.
1684:Lie Groups
1551:: 539â541.
1255:2022-08-16
1251:(in Dutch)
1174:2022-08-16
1123:2022-08-16
1119:(in Dutch)
841:2022-08-16
815:2022-08-18
792:References
488:Lie groups
389:Sophus Lie
268:entitled "
181:Henk Broer
47:1942-12-20
1966:"Review:
1948:250865891
1940:0295-5075
1801:676697713
1766:121915958
1758:1432-0916
1627:0001-8708
1493:119943006
1485:1432-1297
1440:0273-0979
1368:189832135
1360:1432-1297
1311:189785151
1303:0001-5962
977:1110.5627
785:121915958
735:119943006
689:189832135
537:and with
304:pneumonia
233:Biography
223:The Hague
55:The Hague
1964:(1997).
1569:Topology
1539:(1982).
1273:(1972).
1232:: 84â91.
1067:: 17â19.
350:geometry
346:analysis
336:Research
285:Nijmegen
2010:at the
1920:Bibcode
1736:Bibcode
1465:Bibcode
1340:Bibcode
1147:14 July
911:at the
777:0826863
757:Bibcode
727:0674406
707:Bibcode
681:0405514
653:Bibcode
590:1362544
545:of the
471:and by
465:Berline
455:on the
294:by the
239:Jakarta
227:Utrecht
73:Utrecht
1946:
1938:
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473:Atiyah
469:Vergne
380:, and
159:(1968)
157:
150:Thesis
129:Fields
93:
1973:(PDF)
1944:S2CID
1821:(PDF)
1762:S2CID
1511:(PDF)
1489:S2CID
1364:S2CID
1307:S2CID
1218:(PDF)
1089:(PDF)
1053:(PDF)
1020:(PDF)
972:arXiv
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892:Trouw
887:(PDF)
781:S2CID
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685:S2CID
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1936:ISSN
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1829:ISBN
1797:OCLC
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1356:ISSN
1299:ISSN
1149:2015
621:ISBN
604:ISBN
576:ISBN
477:Bott
475:and
467:and
352:and
302:and
296:KNAW
281:Lund
62:Died
41:Born
1985:doi
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