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	<title>Topics in Number Theory, Essentially</title>
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		<title>Topics in Number Theory, Essentially</title>
		<link>http://anstei.wordpress.com</link>
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		<item>
		<title>My Favourite Math Joke</title>
		<link>http://anstei.wordpress.com/2009/06/04/my-favourite-math-joke/</link>
		<comments>http://anstei.wordpress.com/2009/06/04/my-favourite-math-joke/#comments</comments>
		<pubDate>Thu, 04 Jun 2009 18:48:58 +0000</pubDate>
		<dc:creator>anstei</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://anstei.wordpress.com/?p=91</guid>
		<description><![CDATA[(I owe this one to Richard Pink.) A famous number theorist dies and enters heaven. There he has the chance to talk to God, and he asks: &#8220;So, I&#8217;ve been trying to prove it for my whole life, but in &#8230; <a href="http://anstei.wordpress.com/2009/06/04/my-favourite-math-joke/">Continue reading <span class="meta-nav">&#8594;</span></a><img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=anstei.wordpress.com&amp;blog=6446760&amp;post=91&amp;subd=anstei&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>1</slash:comments>
	
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		<title>A Proof for the Fundamental Theorem of Algebra using nothing but Real Analysis</title>
		<link>http://anstei.wordpress.com/2009/05/06/a-proof-for-the-fundamental-theorem-of-algebra-using-nothing-but-real-analysis/</link>
		<comments>http://anstei.wordpress.com/2009/05/06/a-proof-for-the-fundamental-theorem-of-algebra-using-nothing-but-real-analysis/#comments</comments>
		<pubDate>Wed, 06 May 2009 17:31:55 +0000</pubDate>
		<dc:creator>anstei</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://anstei.wordpress.com/?p=82</guid>
		<description><![CDATA[Inspired by Felix&#8217; post I want to show you how to proof the fundamental theorem of algebra using only real analysis. Some steps are quite similar to Felix&#8217; proof, but alas, we must not use the power of holomorphic functions. &#8230; <a href="http://anstei.wordpress.com/2009/05/06/a-proof-for-the-fundamental-theorem-of-algebra-using-nothing-but-real-analysis/">Continue reading <span class="meta-nav">&#8594;</span></a><img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=anstei.wordpress.com&amp;blog=6446760&amp;post=82&amp;subd=anstei&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<title>On the 4-rank of Class Groups of Quadratic Number Fields</title>
		<link>http://anstei.wordpress.com/2009/03/11/on-the-4-rank-of-class-groups-of-quadratic-number-fields/</link>
		<comments>http://anstei.wordpress.com/2009/03/11/on-the-4-rank-of-class-groups-of-quadratic-number-fields/#comments</comments>
		<pubDate>Wed, 11 Mar 2009 22:14:58 +0000</pubDate>
		<dc:creator>anstei</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://anstei.wordpress.com/?p=33</guid>
		<description><![CDATA[In their paper, Etienne Fouvry and Jürgen Klüners prove that the 4-rank of class groups of quadratic number fields behave as predicted by the Cohen-Lenstra heuristics und their extension by Gerth. My current task is it to understand the paper &#8230; <a href="http://anstei.wordpress.com/2009/03/11/on-the-4-rank-of-class-groups-of-quadratic-number-fields/">Continue reading <span class="meta-nav">&#8594;</span></a><img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=anstei.wordpress.com&amp;blog=6446760&amp;post=33&amp;subd=anstei&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<title>Summary on Mihailescu&#8217;s Proof of Catalan&#8217;s Conjecture</title>
		<link>http://anstei.wordpress.com/2009/02/28/summary-on-mihailescus-proof-of-catalans-conjecture/</link>
		<comments>http://anstei.wordpress.com/2009/02/28/summary-on-mihailescus-proof-of-catalans-conjecture/#comments</comments>
		<pubDate>Fri, 27 Feb 2009 23:27:44 +0000</pubDate>
		<dc:creator>anstei</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://anstei.wordpress.com/?p=26</guid>
		<description><![CDATA[I finally submitted my semester project on Catalan&#8217;s Conjecture. In this post, I want to give an idea of the concept behind the proof. Theorem (Mihailescu, 2002) The only integral, non-zero solutions to the equation are . Proof (brief Sketch). &#8230; <a href="http://anstei.wordpress.com/2009/02/28/summary-on-mihailescus-proof-of-catalans-conjecture/">Continue reading <span class="meta-nav">&#8594;</span></a><img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=anstei.wordpress.com&amp;blog=6446760&amp;post=26&amp;subd=anstei&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<title>Announcement [Update!]: A Talk on &#8220;Catalan&#8217;s Conjecture: A Purely Algebraic Proof&#8221;</title>
		<link>http://anstei.wordpress.com/2009/02/19/announcement-a-talk-on-catalans-conjecture-a-purely-algebraic-proof/</link>
		<comments>http://anstei.wordpress.com/2009/02/19/announcement-a-talk-on-catalans-conjecture-a-purely-algebraic-proof/#comments</comments>
		<pubDate>Thu, 19 Feb 2009 11:56:39 +0000</pubDate>
		<dc:creator>anstei</dc:creator>
				<category><![CDATA[Uncategorized]]></category>

		<guid isPermaLink="false">http://anstei.wordpress.com/?p=21</guid>
		<description><![CDATA[Update: The talk starts at 14.00 sharp, not at 14.15 as announced previously. Tomorrow at 14.15 14.00 in room HG G43 at ETH Zürich, I will present the results of my semester project on Catalan&#8217;s Conjecture that I wrote under &#8230; <a href="http://anstei.wordpress.com/2009/02/19/announcement-a-talk-on-catalans-conjecture-a-purely-algebraic-proof/">Continue reading <span class="meta-nav">&#8594;</span></a><img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=anstei.wordpress.com&amp;blog=6446760&amp;post=21&amp;subd=anstei&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<title>A Nice Review of the PCM</title>
		<link>http://anstei.wordpress.com/2009/02/05/a-nice-review-of-the-pcm/</link>
		<comments>http://anstei.wordpress.com/2009/02/05/a-nice-review-of-the-pcm/#comments</comments>
		<pubDate>Thu, 05 Feb 2009 12:23:12 +0000</pubDate>
		<dc:creator>anstei</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[book]]></category>
		<category><![CDATA[pcm]]></category>

		<guid isPermaLink="false">http://anstei.wordpress.com/?p=13</guid>
		<description><![CDATA[In November 2008, the Princeton Companion to Mathematics by Timothy Gowers appeared, and I have been praising it relentlessly among my mathematical and not so mathematical colleagues. Today, Scott Aaronson posted a short explanation why he thinks it&#8217;s worth reading. &#8230; <a href="http://anstei.wordpress.com/2009/02/05/a-nice-review-of-the-pcm/">Continue reading <span class="meta-nav">&#8594;</span></a><img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=anstei.wordpress.com&amp;blog=6446760&amp;post=13&amp;subd=anstei&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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		<slash:comments>1</slash:comments>
	
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		<title>The Headaches Caused by Choosing a Suitable Style</title>
		<link>http://anstei.wordpress.com/2009/02/04/the-headaches-caused-by-choosing-a-suitable-style/</link>
		<comments>http://anstei.wordpress.com/2009/02/04/the-headaches-caused-by-choosing-a-suitable-style/#comments</comments>
		<pubDate>Wed, 04 Feb 2009 16:50:38 +0000</pubDate>
		<dc:creator>anstei</dc:creator>
				<category><![CDATA[Uncategorized]]></category>
		<category><![CDATA[non-math]]></category>

		<guid isPermaLink="false">http://anstei.wordpress.com/?p=7</guid>
		<description><![CDATA[It took me quite some time to choose a theme for my blog. Although there are quite some themes available here at wordpress.org, only very few meet the requirements for an easily legible, mathematical blog: Fixed Width: The content column &#8230; <a href="http://anstei.wordpress.com/2009/02/04/the-headaches-caused-by-choosing-a-suitable-style/">Continue reading <span class="meta-nav">&#8594;</span></a><img alt="" border="0" src="http://stats.wordpress.com/b.gif?host=anstei.wordpress.com&amp;blog=6446760&amp;post=7&amp;subd=anstei&amp;ref=&amp;feed=1" width="1" height="1" />]]></description>
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