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	<title>Ben Braun's Mathematics Weblog</title>
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		<title>Ben Braun's Mathematics Weblog</title>
		<link>http://benbraun.wordpress.com</link>
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		<title>The Secret Linear Algebra Curriculum</title>
		<link>http://benbraun.wordpress.com/2008/09/14/the-secret-linear-algebra-curriculum/</link>
		<comments>http://benbraun.wordpress.com/2008/09/14/the-secret-linear-algebra-curriculum/#comments</comments>
		<pubDate>Sun, 14 Sep 2008 01:42:24 +0000</pubDate>
		<dc:creator>benbraun</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://benbraun.wordpress.com/?p=45</guid>
		<description><![CDATA[A friend of mine in graduate school used to joke about the existence of a &#8220;secret linear algebra curriculum,&#8221; i.e. a body of knowledge from linear algebra that all graduate students are supposed to know but no one will ever teach them (in fact, no one will even tell them what they should know, hence [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benbraun.wordpress.com&blog=4255177&post=45&subd=benbraun&ref=&feed=1" />]]></description>
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		<title>Thickness of graphs</title>
		<link>http://benbraun.wordpress.com/2008/08/13/thickness-of-graphs/</link>
		<comments>http://benbraun.wordpress.com/2008/08/13/thickness-of-graphs/#comments</comments>
		<pubDate>Wed, 13 Aug 2008 14:41:00 +0000</pubDate>
		<dc:creator>benbraun</dc:creator>
				<category><![CDATA[Combinatorics]]></category>

		<guid isPermaLink="false">http://benbraun.wordpress.com/?p=42</guid>
		<description><![CDATA[Here is an interesting problem I heard about during a talk by Ellen Gethner.  Given a graph , the thickness of  is the least size of a collection of planar graphs on the vertices of  such that  is the union of these planar graphs.  This is related to things like [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benbraun.wordpress.com&blog=4255177&post=42&subd=benbraun&ref=&feed=1" />]]></description>
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		<title>Reflections on Mathfest 2008</title>
		<link>http://benbraun.wordpress.com/2008/08/03/reflections-on-mathfest-2008/</link>
		<comments>http://benbraun.wordpress.com/2008/08/03/reflections-on-mathfest-2008/#comments</comments>
		<pubDate>Sun, 03 Aug 2008 00:39:38 +0000</pubDate>
		<dc:creator>benbraun</dc:creator>
				<category><![CDATA[Conferences]]></category>

		<guid isPermaLink="false">http://benbraun.wordpress.com/?p=40</guid>
		<description><![CDATA[Mathfest 2008, held in beautiful Madison, WI, has just finished up.  As I am sitting in a coffeehouse on State Street, I would like to share some of the mathematical highlights.

Erik Demaine, Hedrick Lecturer.  Erik Demaine gave a phenomenal triple of talks about Folding, Algorithms, Art, Magic, Transformers, Reconfigurable Robots, and other equally [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benbraun.wordpress.com&blog=4255177&post=40&subd=benbraun&ref=&feed=1" />]]></description>
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		<title>Pebbles on the Beach</title>
		<link>http://benbraun.wordpress.com/2008/07/21/pebbles-on-the-beach/</link>
		<comments>http://benbraun.wordpress.com/2008/07/21/pebbles-on-the-beach/#comments</comments>
		<pubDate>Mon, 21 Jul 2008 13:51:57 +0000</pubDate>
		<dc:creator>benbraun</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://benbraun.wordpress.com/?p=35</guid>
		<description><![CDATA[The banner photo for this website is from a beach on the island of Sandon in the Stockholm Archipelago.  In May and June 2008, we took a family trip to Stockholm in conjunction with my attendance at the Festive Combinatorics conference in honor of Anders Bjorner.  This was a beautiful conference, certainly one [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benbraun.wordpress.com&blog=4255177&post=35&subd=benbraun&ref=&feed=1" />]]></description>
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		<title>Cohen Macaulay Algebras and Non-negativity</title>
		<link>http://benbraun.wordpress.com/2008/07/18/cohen-macaulay-algebras-and-non-negativity/</link>
		<comments>http://benbraun.wordpress.com/2008/07/18/cohen-macaulay-algebras-and-non-negativity/#comments</comments>
		<pubDate>Fri, 18 Jul 2008 15:05:10 +0000</pubDate>
		<dc:creator>benbraun</dc:creator>
				<category><![CDATA[Algebra]]></category>
		<category><![CDATA[Combinatorics]]></category>

		<guid isPermaLink="false">http://benbraun.wordpress.com/?p=12</guid>
		<description><![CDATA[One element of topological and algebraic combinatorics that I found very difficult to understand as a graduate student was the Cohen-Macaulay property for a graded algebra.  In particular, the Hilbert series of a standard graded Cohen-Macaulay algebra has non-negative integer coefficients in the numerator polynomial when represented as a rational function.  This non-negativity result is [...]<img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benbraun.wordpress.com&blog=4255177&post=12&subd=benbraun&ref=&feed=1" />]]></description>
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		<slash:comments>2</slash:comments>
	
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		<title>Welcome to my weblog</title>
		<link>http://benbraun.wordpress.com/2008/07/17/welcome-to-my-weblog/</link>
		<comments>http://benbraun.wordpress.com/2008/07/17/welcome-to-my-weblog/#comments</comments>
		<pubDate>Thu, 17 Jul 2008 23:55:09 +0000</pubDate>
		<dc:creator>benbraun</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://benbraun.wordpress.com/?p=9</guid>
		<description><![CDATA[Welcome to my mathematics weblog.  Please take a look at my &#8220;About&#8221; page and check back regularly for new posts.
       <img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=benbraun.wordpress.com&blog=4255177&post=9&subd=benbraun&ref=&feed=1" />]]></description>
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