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Goldbach Conjecture Disproved
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Research
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By overconvergent
Posted Fri Apr 01, 2005 at 01:00:48 AM PDT
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In an email message today to the Number Theory mailing list, a counterexample to the Goldbach Conjecture - that every even number bigger than 2 can be written as the sum of two prime numbers - was announced. The method is said to involve the Hardy-Littlewood circle method and to use a magma computation that took several weeks to complete. (The actual, "marvellous" counterexample is too big to fit into this posting).
A senior number theorist said, under the condition of anonymity, "we're in shock. No-one saw this coming."
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Mathematics On Your Webpage
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Research
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By overconvergent
Posted Wed Feb 16, 2005 at 04:31:21 AM PDT
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One piece of advice that I have been able to give my graduate student advisees is to have a webpage with professional information (here are my research interests, this is a list of conferences I have attended, here is my CV).
One problem that mathematicians have is that HTML isn't really suited to the display of mathematics, beyond a simple description in English ("I study non-Riemannian hypersquares and have published an article on them in the Journal of Obscure Results").
There are two rather different solutions that I know of to this problem.
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Physics Reviews ... Drupal Style!
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Research
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By overconvergent
Posted Fri Feb 04, 2005 at 08:25:52 AM PDT
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Update [2005-2-21 8:54:25 by overconvergent]:: An anonymous contributor has pointed out that the Drupal engine is used for PhysComments.
There have been two mathematics reviews services since 1940 (Mathematical Reviews, also known as MathSciNet, was set up in 1940) and the older Zentrallblatt includes mathematical information dating all the way back to 1868), but it seems that there has been no equivalent for physics.
Until now.
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Alexander Grothendieck
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Research
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By overconvergent
Posted Wed Nov 24, 2004 at 10:07:54 AM PDT
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The Notices of the AMS has recently had a two-part article on the life and works of the mathematician Alexander Grothendieck, whose achievements in the field of algebraic geometry in the 1950s and 1960s revolutionised the field, before he sensationally left the world of research mathematics in the early 1970s.
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DIMACS Reconnect Conference Announcements
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Research
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By Anonymous Hero
Posted Tue Nov 09, 2004 at 10:16:00 AM PDT
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Reconnecting Teaching Faculty to the Mathematical Sciences Research Enterprise
In Summer 2005, DIMACS will hold two Satellite "Reconnect Conferences" at Montclair State University and Spelman College.
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Tit For Tat Beaten?
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Research
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By overconvergent
Posted Thu Oct 28, 2004 at 01:25:11 PM PDT
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The Prisoners' Dilemma is a well-known problem in game theory: should one defect or cooperate? The rational answer seems to be to defect, but if the players could cooperate, then they could share a greater reward.
The "Tit-for-Tat" strategy - begin by cooperating, then mirror the adversary's move - is a simple yet highly effective way to play. It has long been thought to be one of the best possible strategies, but a new strategy has emerged which can sometimes do even better.
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