
	Where results make sense

Topic: Daniel Quillen

Related Topics

Pierre Deligne

Qin Jiushao

Maxim Kontsevich

Vladimir Voevodsky

Stanislaw Marcin Ulam

Alain Connes

Grace Chisholm Young

Atle Selberg

James Ivory (mathematician)

Fields Medal

Scientist

Adolphe Quetelet

United States

List of inventors

List of mathematicians

In the News (Thu 11 Mar 10)

Northern Trust

Marvin Harrison

Peter Chernin

Gary Locke

Match Play

Penelope Cruz

Mickey Rourke

AR Rahman

Danny Boyle

Hugh Jackman

	Letcher County Obituaries
		BENTLEY, Daniel Orville, son of Isabel Mullins and Firel Bentley was born at Beefhide, Kentucky on December 23, 1925.
		Daniel was the son of Nellean Quillen Bentley and the late Daniel Orville Bentley.
		QUILLEN, Netta, daughter of the late Henry H. Quillen and Martha Jane Hall Quillen, was born at Whitaker, Kentucky on January 29, 1929.
	www.rootsweb.com /~kyletch/obituaries/obit2.htm (1381 words)

	Quillen (Site not responding. Last check: 2007-11-06)
		When Quillen received his Ph.D. at the age of 24, he and his wife Jean, a violinist, were already caring for two of their five children.
		It is with rare cases like Quillen that one has the satisfaction of seeing hard, concrete problems solved with general ideas of great force and scope and by the unification of methods from diverse fields of mathematics.
		Quillen has had a deep impact on the perceptions and the very thinking habits of a whole generation of young algebraists and topologists.
	www-groups.dcs.st-and.ac.uk /~history/Mathematicians/Quillen.html (740 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		QUILLEN MODEL STRUCTURES FOR RELATIVE HOMOLOGICAL ALGEBRA 5 Example 1.2 is a categorical projective class in the sense that the P-epimorphisms are just the epimorphisms and the P-projectives are the categorical projectives, i.e., those objects P such that maps from P lift through epimorphisms.
		It is a bit simpler, in that Quillen spends part of the time (specifically, his Proposition 2) proving that effective epimorphisms give rise to a projective class, although he doesn't use this terminology.
		Quillen's argument in this case can be interpreted as a verification of the hypotheses of the recognition lemma for cofibrantly generated model categories (our Proposition 5.4).
	jdc.math.uwo.ca /papers/relative.txt (10317 words)

	[No title]
		QUILLEN MODEL STRUCTURES FOR RELATIVE HOMOLOGICAL ALGEBRA J. Abstract.An important example of a model category is the category of unb* ounded chain complexes of R-modules, which has as its homotopy category the der ived cat- egory of the ring R. This example shows that traditional homological alg ebra is encompassed by Quillen's* homotopical algebra.
		QUILLEN MODEL STRUCTURES FOR RELATIVE HOMOLOGICAL ALGEBRA 41 Note that no conditions on the projective class are required, and that the d* *escription of the cofibrations is simpler than in the unbounded case.
		Quillen's argument in* * this case can be interpreted as a verification of the hypotheses of the recognition * *lemma for cofibrantly generated model categories (our Proposition 5.4).
	hopf.math.purdue.edu /Christensen-Hovey/relative.txt (10458 words)

	Algebraic K-theory - Wikipedia, the free encyclopedia
		Eventually the foundational difficulties were resolved (leaving a deep and difficult theory), by a definition of Daniel Quillen.
		The master, definitive definitions of K-theory were given by Daniel Quillen, after an extended period in which uncertainty had reigned.
		For a small category C, its nerve NC is defined as the semi-simplicial set, with as p-simplices the diagrams
	en.wikipedia.org /wiki/Algebraic_K-theory (675 words)

	[No title]
		The motivation for this wor* k is the construction of the üp re derived categoryö f a ring R. Finally, we explain how the categor y of simplicial objects in a possibly non-abelian category can be equipped with a model category st *ructure reflecting a given projective class.
		This exa* mple shows that traditional homological algebra is encompassed by Quillen's* homotopical algebra* , and indeed this unification was one of the main points of Quillen's* work [14].
		It is a bit simpler, in that Quillen spends part of the t* ime (specifically Proposition 2) proving that effective epimorphisms give rise to a projective class, althoug *h he doesn't use this terminology.
	hopf.math.purdue.edu /Christensen/derived.txt (6614 words)

	Daniel
		Daniel is the English form of a Hebrew name.
		In the Anglo-Saxon period of English history, Daniel was a rare, religious name.
		Daniel was common in the 13th and 14th centuries, less so in the 15th and 16th, but was revived in the 1600s.
	www.geocities.com /edgarbook/names/d/daniel.html (214 words)

	Special Reviews
		Kate had believed that she was over Daniel, that she was happy with her life.
		So why was she feeling so confused about Daniel's return.
		The only thing Kate knows for certain is that Daniel must not learn about her son, Jamie.
	geocities.com /midnightscribe/SpecialRev.html (1471 words)

	The Ashland City Times - Local Sports (Site not responding. Last check: 2007-11-06)
		On the mound, Daniel will use a three-man rotation of right-hander Doubler and left-handers Josh Knight and LHP McCain.
		Daniel also has a strong stable of relievers in juniors Reece Crawford, Jacob Forbes and Brian Hawkins and sophomores John Clanton and Preston Quillen.
		While Daniel is pleased with how his team has performed on the mound and offensively, he is not satisfied with the team’s defensive performance.
	www.ashlandcitytimes.com /news/stories/20050323/sycamore.shtml (265 words)

	Quillian Family Genealogy Forum
		Re: Quillin, Quillen from va and ireland - sherrie quillen henderson 12/07/98
		Re: Preston Quillin or Quillen born 1815 in TN - Janet Quillen Willingham 9/10/99
		Quillen, Quillin, McQuillen, McQuillin - sherrie Quillen Henderson 1/17/98
	genforum.genealogy.com /quillian (1818 words)

	State Records Fall at Huff 'N Puff on the Bluff 15k (Site not responding. Last check: 2007-11-06)
		Joe Quillen and Daniel Dill set Alabama state age records on Saturday, March 8, 2003 at the 1st Annual Huff-n-Puff on the Bluff 15k.
		Joe Quillen is 62 years old and is from Killen, Alabama.
		Daniel Dill, from Muscle Shoals, Alabama, is 15 years old and attends Muscle Shoals High School.
	www.shoalstrac.com /stories/staterecord.htm (110 words)

	Alexander Grothendieck - Wikipedia, the free encyclopedia
		La longue marche à travers la theorie de Galois (roughly The Long Walk Through Galois Theory) is an approximately 1600-page handwritten manuscript produced by Grothendieck during the years 1980-1981 and contains many of the ideas leading to the Esquisse d'un Programme (see below) and in particular studies the Teichmüller theory.
		In 1983 he wrote a huge extended manuscript (about 600 pages) titled Pursuing Stacks, starting with a letter addressed to Daniel Quillen.
		This letter and successive parts were distributed from Bangor (see External Links below): in an informal manner, as a kind of diary, Grothendieck explained and developed his ideas on the relationship between algebraic homotopy theory and algebraic geometry and prospects for a noncommutative theory of stacks.
	en.wikipedia.org /wiki/Alexander_Grothendieck (1595 words)

	Daniel Quillen -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-11-06)
		Daniel Quillen -- Facts, Info, and Encyclopedia article
		He has worked also in the formal theory of (An equation containing differentials of a function) differential equations, and (Click link for more info and facts about homotopical algebra) homotopical algebra.
		He earned both his (Click link for more info and facts about bachelor's degree) bachelor's degree, in 1961, and his (An American doctorate usually based on at least 3 years graduate study and a dissertation; the highest degree awarded by a graduate school) PhD, in 1964, from (A university in Massachusetts) Harvard University.
	www.absoluteastronomy.com /encyclopedia/d/da/daniel_quillen.htm (106 words)

	The Extended Erdös Number Project (Site not responding. Last check: 2007-11-06)
		In 1979, Alexander Zeno Cohen, researched fluid mechanics in the MIT pool, along with the 1978 Field Medallist, Daniel Quillen, a professor of mathematics at MIT.
		In the case of Alexander Zeno Cohen, we need to note that invariably press articles re mathematicians were first written by the mathematicians themselves, then revised by journalists enroute to the presses.
		In this case the article re Quillen et al, has been typographically joined with the pictorial saga of Alexander's exercise in fluid dynamics, to produce the Erdös Number defining publication.
	homepage.cs.latrobe.edu.au /image/alex.html (1513 words)

	Lips by Sourcebooks, ISBN 1570715998 And Homology of Linear Groups by Kevin P. Knudson, ISBN 3764364157
		Twenty-five years ago, Daniel Quillen launched a new branch of mathematics with his definition of the higher algebraic K-groups of a ring.
		This is the first book to present all the important results in the area in a single volume.
		The book traces the development of the theory from Quillen's fundamental calculation and the early results of the subject to the current state of research, and also includes exercises at the end of each chapter.
	stonemancat.com /lips.htm (194 words)

	[No title] (Site not responding. Last check: 2007-11-06)
		Subject: Re: response to completion question Date: Fri, 7 May 1999 19:32:47 +0200 (MET DST) > Another, by Quillen, is listed as "privately circulated MS - not to > appear".
		Quillen's influential manuscript has been made public meanwhile, as part of: Friedlander, Eric M.; Mazur, Barry: Filtrations on the homology of algebraic varieties.
		I do not know what their status is.) T.
	www.lehigh.edu /~dmd1/tb57 (288 words)

	(Susie PUKANCIK - Andrew F. RANKIN ) (Site not responding. Last check: 2007-11-06)
		Daniel Lynn QUILLEN (9 APR 1948 - ____)
		Tammy Sue QUILLEN (7 FEB 1971 - ____)
		Theodore Glenn QUILLEN (7 OCT 1973 - ____)
	www.griffinfamilytree.com /index/ind0227.html (123 words)

	L. Avramov Abstract (Site not responding. Last check: 2007-11-06)
		In this context, commutative algebras model morphisms of the underlying varieties, and homology theories of commutative algebras measure the singularities of the fibers of such morphisms.
		At the beginning of the talk it will be explained how classical results link important properties of commutative algebras, such as smoothness, to the vanishing of homology groups in the theories constructed by Gerhard Hochschild in the mid-1940's, and by Michel Andr\'e and Daniel Quillen in the late 1960's.
		This will be followed by a discussion of new homological characterizations of several classes of algebras in terms of vanishing of homology groups or finiteness of homology algebras.
	www.mth.msu.edu /~mccarthy/colloq.01-2/avramov-abstract.html (155 words)

	References for Quillen (Site not responding. Last check: 2007-11-06)
		I M James, The work of Daniel Quillen, Proceedings of the International Congress of Mathematicians, Helsinki 1978 (Helsinki, 1980), 65-67.
		M Kervaire, On the mathematical work of Daniel Quillen, Jahrbuch Überblicke Mathematik, 1979 (Mannheim, 1979), 165-168.
		G Nishida, Works of D Quillen (Japanese), Sugaku 31 (1) (1979), 29-33.
	www-groups.dcs.st-and.ac.uk /history/Printref/Quillen.html (65 words)

	Amazon.com: Books: Algebraic K-Theory and Its Applications (Graduate Texts in Mathematics) (Site not responding. Last check: 2007-11-06)
		Ki(R) for i greater than or equal to 3, is done in chapter 5 using the +-construction due to Daniel Quillen.
		It is here that topological considerations are brought to the forefront, since the Quillen approach is to construct the higher K-functors in terms of the homotopy groups of a particular space, called the classifying space.
		In particular, the (higher) K-theory of a ring R is defined as the product of the group of units of the classifying space of R and K0(R).
	www.amazon.com /exec/obidos/tg/detail/-/0387942483?v=glance (1414 words)

	Newsletter (Site not responding. Last check: 2007-11-06)
		The papers of Joan Scott and Carol Quillen suggested that it might be undesirable even to raise the question of limits, lest doing so be taken as a license for repression.
		Other participants took it for granted that particular interpretations unavoidably presuppose limits of one kind or another.
		Rice faculty participants included: Judith Brown (dean of humanities), Carl Caldwell (history), Steven Crowell (philosophy), Alan Grob (English), Thomas Haskell (history), Helena Michie (English), Carol Quillen (history), Daniel Sherman (French studies/history), Martin Wiener (history), and Richard Wolin (history), and John Zammito (history).
	cohesion.rice.edu /humanities/csc/newsletter.cfm?doc_id=311 (460 words)

	Daniel Alvin DOTSON\Minnie QUILLEN (Site not responding. Last check: 2007-11-06)
		Daniel Alvin DOTSON, son of William V. DOTSON and Celia Plummer HORTON, was born April 10,1862 in Wise Co,VA. He married Minnie QUILLEN June 17, 1901.
		He died November 20, 1937 in Bold Camp, Wise County, VA. Minnie QUILLEN was born June 17, 1884 in Letcher County, KY. She died November 15, 1945 in Cromona, KY.
		Children of Daniel Alvin DOTSON and Minnie QUILLEN are:
	users.adelphia.net /~rdotson/fam441.html (226 words)

	Dan Grayson's Curriculum Vitae
		by Avner Ash, Daniel R. Grayson, and Philip Green, Computations of cuspidal cohomology of congruence subgroups of Sl(3,Z), Journal of Number Theory, volume 19, 1984, pages 412-436, reviewed in MR 86g:11032 and ZBL 552.10015.
		Higher algebraic K-theory II [after Daniel Quillen], Algebraic K-theory, Evanston 1976, Springer, Berlin, Heidelberg, New York, Lecture Notes in Mathematics, volume 551, 1976, pages 217-240, reviewed in MR 58 #28137 and ZBL 362.18015.
		Finite Generation of higher K-groups of a curve over a finite field [after Daniel Quillen], Algebraic K-theory, Oberwolfach 1980, Part I, Lecture Notes in Mathematics 966, Springer, Berlin, Heidelberg, New York, 1982, pages 69-90, reviewed in MR 84f:14018 and ZBL 502.14004.
	www.math.uiuc.edu /~dan/cv.html (1880 words)

	Fields Medals 1978 (Site not responding. Last check: 2007-11-06)
		His work belongs to combinatorics, differential geometry, ergodic theory, dynamical systems, and Lie groups.
		Daniel G. born June 22, 1940, Orange, New Jersey
		The prime architect of the higher algebraic K-theory, a new tool that successfully employed geometric and topological methods and ideas to formulate and solve major problems in algebra, particularly ring theory and module theory.
	www.mathunion.org /medals/Fields/1978 (129 words)

	Mobile Comp Services (Site not responding. Last check: 2007-11-06)
		If you have a question or comment please feel free to E-Mail or call us at (931) 215-9739.
		The comments are property of their posters, all the rest © 2005 by Daniel Quillen.
		This is free software, and you may redistribute it under the
	www.mobilecompservices.com (249 words)

	thedailytimes.com - FUNERAL NOTICES (Site not responding. Last check: 2007-11-06)
		Ernest Columbus Quillen, age 81 of Alcoa passed away Sunday, July 7, 2002 after a brief illness at Blount Memorial Hospital.
		He was a member of Alcoa First Baptist Church since 1949 and a member of the Believers Fellowship and Berea Sunday School Class.
		and Pearl Quillen; sister, Ethel Drake; brothers, Opherl, L.E. Jr., Kenneth, Harold, and Claude Quillen.
	www.thedailytimes.com /sited/story/html/98179 (1001 words)

	UF Math: Erdos Colloquium (Site not responding. Last check: 2007-11-06)
		He interacted with many mathematical sciences faculty on campus, and wrote papers with several University of Florida faculty, including Krishnaswami Alladi, David A. Drake, Jean A.
		Larson, R. Daniel Mauldin (now at North Texas State), Stan Ulam, and Arun Varma.
		The photo displayed here, by Jean A. Larson, shows Erdos in front of the J. Wayne Reitz Union, his favorite place to book a room in Gainesville.
	www.math.ufl.edu /dept_news_events/erdos (186 words)

	Useful resources (Site not responding. Last check: 2007-11-06)
		Personal notes on Higher Algebraic K-theory : This is my new project.
		Basically, this is going to be a summary of Daniel Quillen's Higher Algebraic K-theory I (LNM 341), Daniel Grayson's Higher Algebraic K-theory II (LNM 551).
		Daniel Grayson's Higher Algbraic K-theory lecture note, Spring, 2003
	www.math.uchicago.edu /~jinhyun/useful.html (940 words)

	K-theory (Site not responding. Last check: 2007-11-06)
		He formulated Serre's conjecture, that projective modules over the ring of polynomials over a field are free modules; this resisted proof for 20 years.
		There followed a period in which there were various partial definitions of higher K-functors; until a comprehensive definition was given by Daniel Quillen using homotopy theory.
		The corresponding constructions involving an auxiliary quadratic form receive the general name L-theory.
	www.worldhistory.com /wiki/K/K-theory.htm (397 words)

Try your search on: Qwika (all wikis)