Visual representation of mathematical research interrelationships - MathOverflow most recent 30 from http://mathoverflow.net2013-05-21T14:52:53Zhttp://mathoverflow.net/feeds/question/2259http://www.creativecommons.org/licenses/by-nc/2.5/rdfhttp://mathoverflow.net/questions/2259/visual-representation-of-mathematical-research-interrelationshipsVisual representation of mathematical research interrelationshipsDoubleJay2009-10-24T07:51:38Z2010-07-07T01:32:13Z
<p>I remember seeing a visualization in the form of a 2d (nodal) graph of all areas of academia, with math, physics and engineering over in one section, connecting in an arc to the central area of economics and statistics which was intermediate between it and the humanities. Psychology and sociology were in their own cluster between the humanities and econ/stats, while biology and medicine formed a huge cloud that branched towards almost everything, though it was further from the humanities than the sciences.</p>
<p>I'm afraid I don't have a link, which would illustrate it much better than I can.</p>
<p>Anyways, I wonder if there's something similar to this for mathematics alone, based on the specialities of co-authors, the references in research papers, common sense, etc. I'd be very interested to see what it looks like.</p>
http://mathoverflow.net/questions/2259/visual-representation-of-mathematical-research-interrelationships/2260#2260Answer by wkvong for Visual representation of mathematical research interrelationshipswkvong2009-10-24T08:00:55Z2009-10-24T08:00:55Z<p>Sorry, I don't know where you can find one for math, but here is a link to the original picture describing all of academia</p>
<p>(Warning, image is rather big)
<a href="http://informationesthetics.org/documents/scienceMapPrintMockupEd2.jpg" rel="nofollow">http://informationesthetics.org/documents/scienceMapPrintMockupEd2.jpg</a></p>
http://mathoverflow.net/questions/2259/visual-representation-of-mathematical-research-interrelationships/2262#2262Answer by Harrison Brown for Visual representation of mathematical research interrelationshipsHarrison Brown2009-10-24T08:19:26Z2009-10-24T08:19:26Z<p><a href="http://www.math.niu.edu/~rusin/known-math/index/mathmap.html" rel="nofollow">Here's</a> something like what I imagine you want, although in the decade or so since this image was made, it's probably changed a fair bit. (For instance, interest in the relationships between analysis, dynamical systems and combinatorics has only been growing since the early '90s.)</p>
http://mathoverflow.net/questions/2259/visual-representation-of-mathematical-research-interrelationships/4701#4701Answer by Jose Brox for Visual representation of mathematical research interrelationshipsJose Brox2009-11-09T01:31:35Z2009-11-09T01:31:35Z<p>A related picture came to mind. The cosmologist Max Tegmark, when playing with the idea of enconding a TOE in a mathematical structure, developed this quite famous scheme (the original article made the cover of New Scientist):</p>
<p><a href="http://space.mit.edu/home/tegmark/toe.gif" rel="nofollow">http://space.mit.edu/home/tegmark/toe.gif</a></p>
<p>It relates the simplest structures with one another.</p>
http://mathoverflow.net/questions/2259/visual-representation-of-mathematical-research-interrelationships/4704#4704Answer by Andy for Visual representation of mathematical research interrelationshipsAndy2009-11-09T03:00:10Z2009-11-09T03:00:10Z<p>There's a nice 2D map of mathematics <a href="http://twofoldgaze.wordpress.com/2009/11/01/an-attempt-at-mapping-mathematics/" rel="nofollow">here</a>, based on arXiv publications. I think it's pretty close to what you're looking for and is more recent than some of these other maps.</p>
http://mathoverflow.net/questions/2259/visual-representation-of-mathematical-research-interrelationships/4831#4831Answer by XBoi for Visual representation of mathematical research interrelationshipsXBoi2009-11-10T08:55:14Z2009-11-10T08:55:14Z<p>This is a good picture because it shows all the kinds of math together.
<a href="http://bodmas.org/blog/images/ShapeSize3preview.png" rel="nofollow">http://bodmas.org/blog/images/ShapeSize3preview.png</a>
-XBoi</p>