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Tag Archives: Scott Morrison
Abelian Spiders
This is a blog post about the thesis of my student Zoey Guo, who is graduating this year. (For a blog post on the thesis of my other student graduating this year, see this.) Let \(\Phi\) be a finite graph. … Continue reading
Posted in Mathematics, Students
Tagged Abelian Spiders, Chris Smyth, Dick Gross, Eriko Hironaka, Graph Eigenvalues, McMullen, Noah Snyder, Scott Morrison, Zoey Guo
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The Abelian House is not closed
Today I will talk about \(\displaystyle{\frac{97 + 26 \sqrt{13}}{27} = 7.064604\ldots}\) For an algebraic integer \(\alpha\), the house \(\overline{|\alpha|}\) is the absolute value of the largest conjugate of \(\alpha.\) Kronecker proved the following: If \(\overline{|\alpha|} \le 1\), then either \(\alpha … Continue reading