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Joint Mathematics Meetings 2011
I spent last week in New Orleans for the Joint Mathematics Meetings 2011. I’d made a rather last minute booking after noticing a couple of sessions could be useful, and hadn’t quite grasped the scale...
View ArticleCyclotomic Matrices and Graphs: Warwick
I’m continuing to tour my Cyclotomic Matrices and Graphs talk; today I presented it at the University of Warwick. Here’s the latest and greatest iteration of the slides, mostly unchanged except for the...
View ArticleCyclotomic Matrices and Graphs over the ring of integers of some imaginary...
…is the less-than-catchy title of my first paper, to appear in the Journal of Algebra. With suitable credentials it can be accessed online through ScienceDirect, otherwise there’s a preprint on the...
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The Smoothness Spiral
101-smooth numbers up to 10,000 I’d recently ordered Ben Fry‘s Visualizing Data and started reading it this weekend; just a few pages in I learnt how to import data to processing and a project was...
View ArticleNontorsion Points of Low Height on Elliptic Curves over Quadratic Fields
I have uploaded a preprint of some recent efforts to the arXiv. In a break from my cyclotomic matrix work, this revisits a project I first became interested in over four years ago: the search for...
View ArticleNew records for integral multiples of points
I’ve been trying to extend the results of the work described in this post, and following a suggestion of Noam Elkies have changed my search strategy from points corresponding to simple EDS triples to...
View ArticleUpdated: Lehmer’s conjecture for matrices over the ring of integers of some...
Just a brief note that my second paper on my thesis topic has been accepted by the Journal of Number Theory. The full citation is: Graeme Taylor, Lehmer’s conjecture for matrices over the ring of...
View ArticleJMM 2013 Talk
I attended the 2013 Joint Mathematics Meetings in San Diego to present work at the AMS-SIAM Special Session on Mathematics of Computation: Algebra and Number Theory, II. Here are my slides, on Lehmer’s...
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JMM 2013 Highlights
The San Diego Convention Center, home to the 2013 Joint Mathematics Meetings. Earlier this month I attended the 2013 Joint Mathematics Meetings, trading freezing Britain for sunny San Diego! This was...
View ArticleLehmer’s Conjecture for Hermitian Matrices over the Eisenstein and Gaussian...
My third paper on the Mahler measure problem has been accepted by the Electronic Journal of Combinatorics, and is available here freely under the E-JC’s open access policy. This is joint work with Gary...
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