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Topic: Noam Elkies

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	NationMaster - Encyclopedia: Noam Elkies (Site not responding. Last check: 2007-10-20)
		Elkies is also renowned for his knowledge of the connections between mathematics and music.
		Elkies’ music also penetrates to the heart of alternative relationships and underlines the God-given legato of one in contrast to the inevitable discord of the other.
		It is in the essence of our humanity that we can find balm amidst impossible suffering and it is Noam Elkies’ great achievement to have composed a work that finds revelation in its exploration of humanity, and of the relationships of human souls not just one to another but with God, their creator.
	www.nationmaster.com /encyclopedia/Noam-Elkies (989 words)

	Ivars Peterson's MathTrek - Euler's Sums of Powers
		In 1986, Noam D. Elkies of Harvard University found the first counterexample that proved Euler's conjecture was wrong for the case n = 4.
		Once Elkies found the first counterexample, he was able to prove that there are infinitely many, each consisting of enormously large numbers.
		What Elkies didn't know at the time was whether his initial solution was the smallest one.
	www.maa.org /mathland/mathtrek_09_27_04.html (608 words)

	OPERA REVIEW: Lowell House Opera -- Yossele Solovey: work of genius
		Elkies’ music also penetrates to the heart of alternative relationships and underlines the God-given legato of one in contrast to the inevitable discord of the other.
		Elkies music also evokes the essence of Klezmer -- and there are brilliantly spirited sounds of celebration -- yet the hearty brass oom-pah for this tragic wedding only makes the agony deeper.
		It is in the essence of our humanity that we can find balm amidst impossible suffering and it is Noam Elkies’ great achievement to have composed a work that finds revelation in its exploration of humanity, and of the relationships of human souls not just one to another but with God, their creator.
	www-tech.mit.edu /V119/N12/Harvard_Opera_r.12a.html (1971 words)

	The Harvard Crimson :: News :: Math and Music
		Elkies spent eight years of his youth in Israel, and hecame to New York City having read a Hebrew translation of Euclid but without any significant knowledge of English.
		Elkies says he wrote about 300 pieces, all of which his mother has kept in a notebook, when he was very young.
		Elkies' expertise lies out side high-dimensional geometries, but he found when confronted with a major problem in the field that "one of the questions could be stated and solved without that background."
	www.thecrimson.com /printerfriendly.aspx?ref=242821 (833 words)

	Castling in the Square
		Professor of mathematics Noam Elkies, Ph.D. '87, the chess club's faculty adviser, was the first to confront Turnbull.
		Elkies reached out and made his first move, developing his king's knight outside his wall of pawns.
		While Elkies was dressed in a hooded parka pulled tight around his face, Thomas, thin and lanky, wore only a light sweater and no socks.
	www.harvardmagazine.com /on-line/1102196.html (3268 words)

	2004 Conant Prize
		Presented annually by the American Mathematical Society, the Conant Prize recognizes an outstanding expository paper published in either the Notices of the AMS or the Bulletin of the AMS in the preceding five years.
		Elkies is honored for his article "Lattices, Linear Codes, and Invariants," Notices of the AMS, 47, nos.
		The article begins with the problem of finding the densest packing of 24-dimensional marbles whose centers are placed at the points of a lattice and connects this problem with that of constructing error-correcting codes.
	e-math.ams.org /ams/press/conant-elkies.html (246 words)

	Noam Elkies - Biocrawler (Site not responding. Last check: 2007-10-20)
		Noam D. Elkies (born 1966 in New York City) is a mathematician.
		He lived in Israel from age four to twelve.
		This page was last modified 21:09, 23 Apr 2005.
	www.biocrawler.com /encyclopedia/Noam_Elkies (166 words)

	ELLIPTIC CURVES IN NATURE (Site not responding. Last check: 2007-10-20)
		N.D. Elkies: Wiles minus epsilon implies Fermat, pages 38--40 in _Elliptic Curves, Modular forms, and Fermat's Last Theorem_ (J.Coates and S.T.Yau, eds.; Boston: International Press, 1995; Proceedings of the 12/93 conference on elliptic curves and modular forms at the Chinese University of Hong Kong).
		Since the Klein quartic is in turn the image of the 7th Fermat curve under the map taking (x:y:z) to (xy^3:yz^3:zx^3), this also yields another proof of the case n=7 of Fermat.
		The authors report (p.17) on numerical computations that suggest that the modular parametrization of this curve has a triple point at i/20; this might be still the only known case of a modular parametrization with a branch point of multiplicity higher than 2 (NB generic maps between curves have only double points).
	modular.fas.harvard.edu /Tables/nature (5086 words)

	Amazon.com: "Noam Elkies": Key Phrase page (Site not responding. Last check: 2007-10-20)
		Noam Elkies used it as the basis for a much more elegant composition, one that follows accepted aesthetic practice by avoiding the...
		Noam Elkies has announced a counterexample, so that Fermat's Last Theorem is not true after all!
		However, in 1987, the (human) mathematician Noam Elkies was able to show that a solution does indeed exist with, in fact, p=2682440, q=15365639, r=18796760, and s=20615673, and he...
	www.amazon.com /phrase/Noam-Elkies (525 words)

	DBLP: Noam D. Elkies
		Noam D. Elkies, Lourens M. Pretorius, Conrad Johann Swanepoel: Sylvester-Gallai Theorems for Complex Numbers and Quaternions.
		Noam D. Elkies, Mark Watkins: Elliptic Curves of Large Rank and Small Conductor.
		Noam D. Elkies: An improved lower bound on the greatest element of a sum-distinct set of fixed order.
	www.vldb.org /dblp/db/indices/a-tree/e/Elkies:Noam_D=.html (195 words)

	Wolfram Research, Inc.
		The first time the USA hosted the IMO was in 1981, when the competition was also held in Washington, D.C. The U.S. team that year consisted of Noam Elkies, Benji Fisher, Brian Hunt, Gregg Patruno, Jeremy Primer, James Roche, Richard Stong, and David Yuen.
		All were attending the Olympiad for the first time; Elkies and Hunt would return in 1982.
		Noam Elkies, who tied for first place on the team and won a gold medal, went on to become a three-time winner in the William Lowell Putnam Competition (1982, 1983, 1984).
	imo.wolfram.com /81facts.html (251 words)

	Mathematics and Chess Page (Site not responding. Last check: 2007-10-20)
		Noam Elkies (1966-), a Professor of Mathematics at Harvard University specializing in number theory, is a study composer and problem solver (ex-world champion).
		Elkies, at age 26, became the youngest scholar ever to have attained a tenured professorship at Harvard.
		Noam Elkies, "On numbers and endgames: Combinatorial game theory in chess endgames", in 1996 "Games of No Chance" = Proceedings of the workshop on combinatorial games held July'94 at MSRI.
	web.usna.navy.mil /~wdj/math_chess.htm (2039 words)

	Math arXiv: Search results (Site not responding. Last check: 2007-10-20)
		Noam Elkies, Lou M. Pretorius, Konrad J. Swanepoel.
		Noam D. Elkies, Everett W. Howe, Andrew Kresch, Bjorn Poonen, Joseph L. Wetherell, Michael E. Zieve.
		Noam Elkies (Harvard), Greg Kuperberg (UC Berkeley), Michael Larsen (U Penn), James Propp (MIT).
	front.math.ucdavis.edu /author/Elkies-N* (493 words)

	Mathematician Elkies Composes New Opera for Lowell House
		Its claim to superstar ranking may have received a boost last night (Wednesday, March 10) with the world premiere of an original operatic work, Yossele Solovey, by composer Noam Elkies, professor of mathematics, and librettist Jeremy Dauber '95, who is currently a Rhodes Scholar studying Jewish and Yiddish literature at Oxford University.
		The opera is based on an 1889 novel by Yiddish writer Sholem Aleichem, whose stories of Tevye the milkman formed the basis of the musical comedy Fiddler on the Roof.
		At some point, Jeremy and I got to talking about it, and he mentioned some Sholem Aleichem novels he had been reading for his academic work, and I asked whether any would be suitable for opera.
	www.news.harvard.edu /gazette/1999/03.11/opera.html (689 words)

	Proof Game Shorties IV
		Noam's #6 also has something to show here.
		I'll skip the introductions for the next five problems, except to note that in Noam's #11 there is a tempo trick not seen before in these articles, which is also true of the final three problems.
		Michel is also the one who devised the surprising tempo reversal for #14.
	www.janko.at /Retros/Shorties/03.htm (335 words)

	Musica Sacra \| A Choral Ensemble based in Cambridge, Massachusetts \| Official Web Site
		Noam Elkies organizes Psalm 23 around the recurrence of a theme and its modified inversion stated over two measures in 5/8 meter: the first is divided into 3+2, and the second reversed to 2+3.
		The Hebrew text of the familiar psalm is stated for the most part only by the voice which has the theme at a particular moment, thereby highlighting both theme and text.
		His final theme is gloriously sung in thick counterpoint to allude to the prospering of our handiwork in light of God's beneficence.
	www.musicasacra.org /content.php?page=030902&n=2&f=2 (1905 words)

	MathPuzzle.com
		KRRNKRR was recommended by Noam Elkies as worth investigating early.
		As Noam recommended several other endgames, it is possible that 290 and even 300 will be beaten in 7-man space, and we may not have long to wait.
		Noam Elkies has some great enumerative chess problems.
	www.mathpuzzle.com /27Oct05.html (4879 words)

	Noam Elkies - Wikipedia, the free encyclopedia
		Elkies is also a fellow at Harvard's Lowell House.
		Personal site of Noam Elkies at Harvard University
		This page was last modified 19:38, 15 December 2006.
	en.wikipedia.org /wiki/Noam_Elkies (277 words)

	Can you say "Combinatorial Game Theory"?
		Elkies wrote a paper titled, "On Numbers and Endgames: Combinatorial Game Theory in Chess Endgames," which attempts to dissect endgames in combinatorial problems, or combinatorial game theory (CGT).
		Note: Adobe Acrobat is needed to read Dr. Elkies paper.
		Noam Elkies' "On Numbers and Endgames: Combinatorial Game Theory in Chess Endgames,"
	www.thechessdrum.net /newsbriefs/2004/NB_CGTendings.html (469 words)

	UJC - Head of the Class
		Wisse declined to speculate about the specific impact her former student may make in the field, only hinting, "I very much appreciated the opera that he made with Noam Elkies," calling it "the creative interpretation of Yiddish literature in a new genre and for a new audience."
		Dauber wrote the libretto for "Yossele Solovey" based on an 1889 novel by Sholem Aleichem for composer Elkies, a Harvard math professor.
		The opera premiered in 1999 with a full orchestra at Harvard's Lowell House, but Dauber doubts whether he and Elkies will have the time in their busy schedules to raise capital for a second production.
	www.ujc.org /content_display.html?ArticleID=26619 (1351 words)

	NPR : Listener Letters
		Performance Today, February 3, 2004 · Last week, Performance Today featured a piece of music called the "Brandenburg Concerto No. 7" by Noam Elkies.
		Elkies was using Bach's famous Brandenburg Concertos as a starting point for his own composition.
		Host Fred Child reads from a few of the many e-mails listeners wrote after hearing Elkies' music.
	www.npr.org /templates/story/story.php?storyId=1638387 (127 words)

	Papers on Random Tilings and Related Subjects (Site not responding. Last check: 2007-10-20)
		Alternating-Sign Matrices and Domino Tilings, by Noam Elkies, Greg Kuperberg, Michael Larsen, and Jim Propp, Journal of Algebraic Combinatorics 1 (1992), 111-132 and 219-234.
		Local Statistics for Random Domino Tilings of the Aztec Diamond, by Henry Cohn, Noam Elkies, and Jim Propp, Duke Mathematical Journal 85 (1996), 117-166.
		Edge effects on local statistics in lattice dimers: a study of the Aztec diamond finite case, by Harald Helfgott (Brandeis Universty bachelor's thesis, 1998).
	www.math.wisc.edu /~propp/tiling/www/papers.html (262 words)

	The Eightfold Way - Cambridge University Press (Site not responding. Last check: 2007-10-20)
		The geometry of Klein’s Riemann surface Hermann Karcher and Matthias Weber; 3.
		The Klein quartic in number theory Noam Elkies; 4.
		William P. Thurston, Hermann Karcher, Matthias Weber, Noam Elkies, Helaman Ferguson, Claire Ferguson, Jeremy Gray, Allan Adler, Felix Klein
	www.cambridge.org /us/catalogue/catalogue.asp?isbn=0521004195 (298 words)

	[No title] (Site not responding. Last check: 2007-10-20)
		Thanks for putting this puzzle up there--normally I can't swing the math puzzles--this was a refreshing break from work for a little bit.
		I'm sure NDE & RSA will in their book give proper credit to Peter Rossler, however, it is usual with chess problems to cite the name of author and source as well everytime - I wonder why Emissary didn't do that...
		Best wishes, Juraj Lorinc maintainer of Chess Composition Microweb JurajLorinc.tripod.com/chess/chess.htm --------------------------------------------------------------- On your website mathpuzzle.com, you claim this puzzle is by Noam Elkies and Stanley, as published in the Oct 2003 Emissary.
	www.mathpuzzle.com /6movemate.txt (324 words)

	Replies to Neweklowsky's claim
		This is important as the primary source is usually published with diagram as the names of authors are too.
		Sincerely, --Noam D. Elkies (*) Actually the position was found by Lewis Stiller, but its length-to-mate was only computed several years later by Thompson, and/or Eugene Nalimov who according to Ken "solved the 262 mover about the same time".
		you have already heard from noam elkies, who prepended some play to extend the record.
	members.tripod.com /~JurajLorinc/chess/renewek.htm (1058 words)

	MathFiction: The Mind-Body Problem (Rebecca Goldstein) (Site not responding. Last check: 2007-10-20)
		They do not have a great marriage, but we are presented with some thought provoking passages concerning Princeton University, the nature of mathematical "genius", and the power-play of sex in 20th Century America.
		I wonder whether the fictional young Harvard number theorist Noam Himmel, who has no Ph.D. and later (see Strange Attractors) is ridiculed by other mathematicians for his theories of the mind, is based on real mathematicians.
		Though somewhat stereotypical, as Fusun points out in her comments below, these are well written passages that give the reader much to think about and discuss.
	www.math.cofc.edu /faculty/kasman/MATHFICT/mfview.php?callnumber=mf25 (772 words)

	[No title]
		To see how I went about computing these, see my paper on "Heegner point computations" in the proceedings of the first international symposium on algorithmic number theory (ANTS-I), edited by Adleman and Huang (Lecture Notes in Computer Science #877).
		--Noam D. Elkies (elkies@ramanujan.harvard.edu) Dept. of Mathematics, Harvard University ============================================================================== From: amlogan@phoenix.Princeton.EDU (Adam Meredith Logan) Date: Tue, 7 Feb 1995 01:36:45 EST To: rusin@math.niu.edu (Dave Rusin) Subject: Re: Question about Tate-Shafarevich group [ME-TOO] Following is the only reply I have received.
		--Noam D. Elkies (elkies@math.harvard.edu) Dept. of Mathematics, Harvard University ============================================================================== Newsgroups: sci.math.research From: elkies@ramanujan.math.harvard.edu (Noam Elkies) Subject: Re: Nontrivial Sha Date: Wed, 22 Feb 1995 04:19:04 GMT [In a few more minutes I extended the search to D you write: >In article
	www.math.niu.edu /~rusin/known-math/95/large.sha (2129 words)

	Noam Elkies Did You Mean noam? (Site not responding. Last check: 2007-10-20)
		Add a link on the top of this noam elkies page Express submission by secure payment !
		Article on Noam elkies, category, different spelling or sense
		Page Noam Elkies cached on Sunday 18th of March 2007 09:38:15 PM Compteur gratuit
	www.did-you-mean.com /Noam_Elkies_efa6.html (274 words)

	Game of Life News
		Clocks can be constructed with as few as four Gliders, and a few constructions from other objects are also known.
		Noam Elkies has found a new Period 4 wick element, along with a way to stabilize it into an oscillator.
		Nicolay Beluchenko came up with some other stabilizations, which allowed for elements to alternate along their central spine.
	pentadecathlon.com /lifeNews/index.php (1210 words)

	Explicit Modular Towers - Elkies (ResearchIndex) (Site not responding. Last check: 2007-10-20)
		0.3: The still-Life density problem and its generalizations - Noam Elkies June (1998)
		@misc{ elkies-explicit, author = "N. Elkies", title = "Explicit modular towers", text = "Elkies, N.D.: Explicit modular towers.
		The still-Life density problem and its generalizations - Elkies (1997)
	citeseer.ist.psu.edu /619517.html (466 words)

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