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	Isadore Singer - Wikipedia, the free encyclopedia
		This article is not about the editor of the Jewish Encyclopedia, Isidore Singer.
		Isadore Manual Singer (born 1924) is an Institute Professor in the Department of Mathematics at the Massachusetts Institute of Technology.
		Singer is a member of the National Academy of Sciences and the American Academy of Arts and Sciences.
	en.wikipedia.org /wiki/Isadore_Singer (147 words)

	Atiyah–Singer index theorem - Wikipedia, the free encyclopedia
		When Michael Atiyah and Isadore Singer were awarded the Abel Prize by the Norwegian Academy of Science and Letters in 2004, the prize announcement explained the Atiyah–Singer index theorem in these words:
		In papers written or published in the period around 1962-1965 the theorem was stated and proved by Michael Atiyah, Raoul Bott and Isadore Singer.
		To handle these operators, Atiyah, Patodi and Singer introduced global boundary conditions equivalent to attaching a cylinder to the manifold along the boundary and then restricting the domain to those sections that are square integrable along the cylinder.
	en.wikipedia.org /wiki/Atiyah-Singer_index_theorem (1275 words)

	World-Renowned Mathematician Visits UCSB - Daily Nexus Online (Site not responding. Last check: 2007-10-31)
		Isadore Singer, a professor at MIT and one of the nation's leading mathematicians, visited UCSB from Jan. 14 to Feb. 14 to give a series of lectures on advanced topics in mathematics and their applications to theoretical physics.
		Singer's work could be the foundation of the new math required by the institute for its research into the superstring theory - the latest and most promising candidate for a unified field theory.
		Singer is best known for his index theorem, which he worked on in the 1960s.
	www.ucsbdailynexus.com /print_article.php?a=2472 (485 words)

	Index Theorem Wins Isadore Award (Site not responding. Last check: 2007-10-31)
		The index theorem, which brings together topology, geometry and analysis was discovered and proved by MIT Institute Professor Isadore M. Singer and Sir Michael Francis Atiyah of the University of Edinburgh, who on Thursday were jointly awarded the Abel Prize for 2004 by the Norwegian Academy of Science and Letters.
		Through the theorem, Atiyah and Singer generalized the concept of the equality of the row-rank and the column-rank of a matrix, which for matrices would imply a unique solution, Melrose said.
		Singer applauded the theorem, saying that its breakthroughs will allow the next generation of mathematicians and physicists to explore new areas of research.
	www-tech.mit.edu /V124/N15/15Abel.15n.html (556 words)

	UM Mathematics:
		Isadore M. Singer was born in 1924 in Detroit and received his undergraduate degree from the University of Michigan in 1944.
		Singer is a member of the American Academy of Arts and Sciences, the American Philosophical Society and the National Academy of Sciences (NAS).
		Singer was vice president of the American Mathematical Society from 1970 to 1972.
	www.math.lsa.umich.edu /news/mathmilestones.shtml (419 words)

	Print-friendly Version of "UCSB and MIT Professor Isadore Singer to Share Abel Prize, The 'Nobel Prize' of ...
		Professor Singer currently holds two positions, one as Institute Professor of Mathematics at the Massachusetts Institute of Technology and another at UCSB where he teaches every winter quarter as a distinguished visiting professor.
		Singer was born in 1924 in Detroit and received his undergraduate degree from the University of Michigan in 1944.
		Singer is active in several professional societies and has served on a number of boards and councils (including the White House Science Council).
	www.ia.ucsb.edu /pa/print.aspx?pkey=1122 (553 words)

	i-Newswire.com - Press Release And News Distribution - Isadore Singer wins faculty Killian Award
		Institute Professor Isadore Singer, a world-renowned mathematician known for his work covering a broad spectrum of geometry, analysis and algebra, is MIT's James R. Killian Jr.
		Last year, Singer was awarded the Abel Prize, a mathematics award often likened to the Nobel Prize, for a series of papers he co-authored with Michael Atiyah.
		Previously, Singer won the Eugene Wigner Medal (1988) and the National Medal of Science (1983).
	i-newswire.com /pr21811.html (633 words)

	Appointment of Isadore M. Singer as a Member of the President's Committee on the National Medal of Science (Site not responding. Last check: 2007-10-31)
		The President today announced his intention to appoint Isadore M. Singer to be a member of the President's Committee on the National Medal of Science for a term expiring December 31, 1989.
		Singer graduated from the University of Michigan (B.S., 1944) and the University of Chicago (M.S., 1948; Ph.D., 1950).
		Singer is married, has five children, and resides in Boxborough, MA.
	www.reagan.utexas.edu /archives/speeches/1987/040887f.htm (132 words)

	Saving Singer (Norway - the official site in the United States)
		Although Anna and William Henry Singer found the Norwegian winter too harsh and chose to spend it in the somewhat more temperate climate of the Netherlands, they always returned to Olden to enjoy summer in the immediate vicinity of the Jostedal glacier.
		She senses that Singer will be among the painters that will experience a kind of renaissance in the coming years.
		Singer was introduced to Norway by a Norwegian painter who had emigrated to the United States.
	www.norway.org /News/archive/2004/200404singer.htm (1132 words)

	Abel Prize Awarded: The Mathematicians' Nobel
		The prize is being given for the work that led to the names Atiyah and Singer being forever linked in the field of mathematics: the "Atiyah-Singer Index Theorem", which they formulated and proved in a series of papers they published in the early 1960s.
		Atiyah, who trained as an algebraic geometer and topologist, and Singer, who came from analysis, worked on ramifications of the theorem for twenty years.
		Atiyah and Singer will receive their award from Norway's King Harald at a ceremony in Oslo on May 25.
	www.maa.org /devlin/devlin_04_04.html (2043 words)

	Abel Prize Ceremony 2004
		"[Atiyah and Singer] are receiving the prize for having discovered and proved the index theorem, which links together topology, geometry and analysis, and for playing an extraordinary role in building new bridges between mathematics and theoretical physics...
		His Majesty King Harald presented the Abel Prize to Atiyah and Singer, and each winner gave a speech of thanks--to the Norwegian Academy, to the King, to their supportive families, and to colleagues past and present.
		Left: Singer and Atiyah are presented with a special "Abel cake" created by the pastry chefs at the Hotel Continental.
	www.ams.org /ams/abel2004.html (841 words)

	CU DeLong Lecture Series
		Singer was vice president of the American Mathematical Society from 1970 - 1972.
		When Singer was awarded the Steele Prize his response, published in the Notices of the AMS, was: "For me the classroom is an important counterpart to research.
		Singer has also written influential textbooks that have inspired generations of mathematicians.
	euclid.colorado.edu /~rmg/delong (515 words)

	Interview with Michael Atiyah and Isadore Singer
		SINGER: I too, feel that the index theorem was but the beginning of a high point that has lasted to this very day.
		SINGER: At the time we proved the Index Theorem we saw how important it was in mathematics, but we had no inkling that it would have such an effect on physics some years down the road.
		SINGER: There isn't just one theorem; there are generalizations of the theorem.
	www.abelprisen.no /en/prisvinnere/2004/interview_2004_1.html (611 words)

	Mathematics News (Site not responding. Last check: 2007-10-31)
		On March 25, it was announced that British mathematician Michael Atiyah and American mathematician Isadore Singer will receive the 2004 Abel Prize "for their discovery and proof of the index theorem, bringing together topology, geometry and analysis, and their outstanding role in building new bridges between mathematics and theoretical physics."
		Professor Singer currently holds two positions, one at the Massachusetts Institute of Technology and another at the University of California, Santa Barbara.
		The Abel Prize was instituted in 2002 by the Norwegian Government in honor of the memory of the distinguished Norwegian mathematician Niels Henrik Abel to enhance the visibility of mathematics.
	www.math.ucsb.edu /department/news.php (410 words)

	Abel Prize
		Atiyah and Singer will receive the prize "for their discovery and proof of the index theorem, bringing together topology, geometry and analysis, and their outstanding role in building new bridges between mathematics and theoretical physics."
		The Atiyah-Singer index theorem is one of the great landmarks of twentieth century mathematics, influencing profoundly many of the most important later developments in topology, differential geometry and quantum field theory.
		The Abel Prize was established by the Norwegian Academy of Science and Letters in 2002 as an international prize for outstanding scientific work in the field of mathematics.
	www.ed.ac.uk /news/abelprize.html (349 words)

	Office park traffic jams feared
		Isadore Singer has taught mathematics long enough to know that simple arithmetic cannot predict human behavior in traffic jams.
		So when he considers the traffic that could be generated by a 245,000-square-foot office park proposed off Route 111 in Boxborough, he thinks of his daily shortcuts through Cambridge to the Massachusetts Institute of Technology.
		Singer was one of several Boxborough residents who wrote to selectmen last week urging that a comprehensive traffic study be conducted before the Planning Board grants a special permit allowing the Gutierrez Co. to build an open space-commercial development near Interstate 495 and Hill Road.
	webpages.charter.net /cprh/traffic_jams_feared.html (911 words)

	Math Professor Gets Sizeable Sum - Daily Nexus Online (Site not responding. Last check: 2007-10-31)
		The Norwegian Academy of Science and Letters awarded the 2002 Abel Prize to Isadore Singer and his partner, British mathematician Sir Michael Atiyah.
		Singer teaches a course at UCSB every Winter Quarter and is also an Institute Professor of Mathematics at the Massachusetts Institute of Technology.
		"It is very moving that Sir Michael and I have been recognized for the new insights in mathematics that broke barriers between different fields," Singer said in a release.
	www.ucsbdailynexus.com /print_article.php?a=7059 (306 words)

	Abel Prize 2004 (Site not responding. Last check: 2007-10-31)
		The Norwegian Academy of Science and Letters has jointly awarded the 2004 Abel Prize to Mr Isadore M. Singer, Massachusetts Institute of Technology and Sir Michael Francis Atiyah, University of Edinburgh.
		This year's prize is to be presented by Norway's King Harald at a May 25 ceremony in Oslo.
		Isadore M. Singer and Sir Michael Francis Atiyah are both longstanding authors of Elsevier.
	www1.elsevier.com /homepage/sac/mathweb/abelprize.html (252 words)

	Canisius College - Toshikazu Natsume
		This fact that the index doesn’t change under continuous perturbations led Izrail M. Gel’fand of Moscow to conjecture that this index has a deeper meaning relating to geometry and topology.
		In 1963 Michael F. Atiyah and Isadore M. Singer gave an affermative answer to Gel’fand’s conjecture.
		They showed that the index of any elliptic operator is equal to another invariant associated to the operator: a topological invariant.
	www.canisius.edu /topos/natsume.asp (716 words)

	Isadore - Vitruvio.ch - Louis Isadore Kahn ( Estonia) (Site not responding. Last check: 2007-10-31)
		Isadore - Vitruvio.ch - Louis Isadore Kahn (Estonia)
		Isadore Znamirowski statement about 'Star and Bars' USA aircraft
		The Isadore and Lucille Zimmerman residence in Manchester, New Hampshire is a classic Usonian by Frank Lloyd Wright.
	bestscape.com /bssa/isadore.htm (177 words)

	SIAM: Norway Awards Second Abel Prize
		In 2002, the Norwegian government commemorated the 200th anniversary of the birth of Niels Henrik Abel (1802-29) by establishing a fund for an international prize in mathematics.
		In March, the Norwegian Academy of Science and Letters announced this year's recipients of the annual prize: Sir Michael Atiyah of the University of Edinburgh and Isadore Singer of MIT.
		Atiyah and Singer were chosen by an international committee of mathematicians and cited by the academy "for their discovery and proof" of the Atiyah-Singer index theorem, "bringing together topology, geometry and analysis, and their outstanding role in building new bridges between mathematics and theoretical physics."
	www.siam.org /news/news.php?id=225 (217 words)

	Preacher Forum Freed-Hardeman University 1991 Bill Swetmon on Gregory of Nyssa
		This might agree with the word "Selah" in the Psalms which was probably a signal for the singers to cease and give time for the contemplation of the message.
		Many know what a "chorus" is: nay, as we are speaking in a town, almost all know.
		(This was always unison) If any one's voice is out of harmony in a chorus of singers, it offendeth the ear, and throweth the chorus into confusion.
	www.piney.com /MuNyssaDLC.html (2586 words)

	Mathenomicon.net : News : Atiyah and Singer share second Abel Prize (Site not responding. Last check: 2007-10-31)
		The Norwegian Academy of Science and Letters has awarded the Abel Prize for 2004 to Sir Michael Francis Atiyah and Isadore M. Singer.
		Abel Prize 2004 has been awarded jointly to Sir Michael Francis Atiyah and Isadore M. Singer, respectively of the University of Edinburgh and the Massachusetts Institute of Technology.
		Further information, including biographies of Atiyah and Singer, can be found at
	www.cenius.net /news/news.php?ArticleID=11 (144 words)

	Friday FYI
		Now the index theorem has become an integral part of their cultures.
		Atiyah and Singer, together and individually, have been tireless in their attempts to explain the insights of physicists to mathematicians.
		At the same time, they brought modern differential geometry and analysis as it applies to quantum field theory to the attention of physicists and suggested new directions within physics itself.
	www.utdallas.edu /research/friday_fyi/040326/internews.htm (1463 words)

	The Mathematics Genealogy Project - Isadore Singer
		Click here to see the students listed in chronological order.
		According to our current on-line database, Isadore Singer has 33 students and 110 descendants.
		If you have additional information or corrections regarding this mathematician, please use the update form.
	www.genealogy.ams.org /html/id.phtml?id=6405 (66 words)

	MATH 601A Index Theory Professor Loya
		This is a lecture-based class on the celebrated Atiyah-Singer index theorem, proved in the 60's by Sir Michael Atiyah and Isadore Singer.
		Their work on this theorem lead to a joint Abel prize in 2004.
		Disclaimer: Finally, all of the above is subject to change as the semester progresses.
	www.math.binghamton.edu /paul/601-S06/601-S06.html (554 words)

	Moderator: Joseph Polchinski, Panelists: Hirosi Ooguri, Alexander Polyakov, Misha Shifman, Isadore Singer, Robert Sugar ... (Site not responding. Last check: 2007-10-31)
		Moderator: Joseph Polchinski, Panelists: Hirosi Ooguri, Alexander Polyakov, Misha Shifman, Isadore Singer, Robert Sugar, PANEL: Field Theory and Mathematics
		Moderator: Joseph Polchinski, Panelists: Hirosi Ooguri, Alexander Polyakov, Misha Shifman, Isadore Singer, Robert Sugar
		Begin WebCam and audio for the whole talk: high bandwidth or medium bandwidth.
	online.itp.ucsb.edu /online/kitp25/polchinski (85 words)

	NPR : Math's Abel Prize
		Weekend Edition Saturday, May 22, 2004 · The second annual Abel Prize is being awarded Tuesday.
		The Abel is the closest mathematics has to a Nobel Prize; this year it goes to professors Michael Atiyah and Isadore Singer.
		NPR's Scott Simon talks about the prize with Weekend Edition "math guy" Keith Devlin.
	www.npr.org /templates/story/story.php?storyId=1906561 (123 words)

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