Cyclotomic Matrices and Graphs: Waterloo
I gave the Number Theory Seminar at the Department of Pure Mathematics, University of Waterloo on Thursday, September 8th. My slides are available in presentation or handout form (except the latter is...
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 ArticleUndergraduate Projects at the University of Bristol
I’m offering a couple of possible projects for third-year students at Bristol (i.e., for MATH32001 or MATH32200 depending on amount of time) in the upcoming academic year (2012/13). Other topics in...
View ArticleLecturing 2012/13
In the next academic year I’ll be one of the lecturers for Topics in Discrete Mathematics at the University of Bristol. This comes in two flavours- the level H/6 unit MATH30002 for third-year students,...
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 Article‘Introduction to Graph Theory’ Lecture Materials
I have now completed a series of introductory lectures on Graph Theory, for 3rd/4th year students at the University of Bristol. A set of written notes plus (less usefully) my slides are mirrored here....
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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