Talks on Cyclotomic Matrices and Graphs

I’m speaking this afternoon at the Heilbronn Seminar in Bristol: my slides are available here. This is essentially (up to permutation, and modulo errors!) the talk I gave at Royal Holloway in October, although the last few slides have been replaced with a result I’ve found since then. I try to avoid technical details of …

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Today I successfully defended my PhD thesis, Cyclotomic Matrices and Graphs. There are of course numerous corrections to be made, but I hope to have those done within the next couple of weeks and to make the final version available online. Until then, here is the abstract: We generalise the study of cyclotomic matrices – …

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Exploring Cambridge

I’ve recently returned from my second ‘Young Researchers in Mathematics’ event in Cambridge, a city I never tire of visiting. At over eight hundred years old, Cambridge University has more history than some countries, so there are plenty of mathematical connections to be found as a result- I thought I’d share just a few of …

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Maths at the Science Festival

(Cross-posted to the frontpage) Just a quick note to mention two talks from the Edinburgh International Science Festival, which my flatmate chaired and I took some photos at: Marcus du Sautoy’s The Num8er My5teries and Ian Stewart’s Cows in the Maze. Summaries, courtesy of Haggis the Sheep, can be found here and here respectively.

Discovering Mathematical Tourism

Sometimes you don’t have to go far to find travel inspiration and a change of scenery. In my search of the world for sites of mathematical significance, it turned out I’d been overlooking one practically on my doorstep! The Union Canal, near Falkirk In 1822 the Union Canal opened, providing (with the Forth and Clyde …

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The Diverse Faces of Arithmetic- Notes on Sequences

View as: At The Diverse Faces of Arithmetic there were a pair of (early morning!) overview lectures for postgraduates. I’ve finally got around to typesetting my notes from the first, Tom Ward’s session on recurrence sequences, available as pdf via the above link. The topics included are divisibilty sequences and primitive divisors; linear recurrences; elliptic …

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