A schools revolution

I highlighted in a recent post, a ludicrous lack of scientific knowledge by Michael Gove. This is perhaps unfair of me. So lets address what Gove is actually trying to do, which is reform Schools. Critics regularly assume that private school parents are rich snobs trying to avoid the lower classes. If you read the…… Continue reading A schools revolution

Why Education Ministers should be educated

Michael Gove is reported as arguing that: Gove said there had been previous attempts to make science relevant, by linking it to contemporary concerns such as climate change or food scares. But he said: “What [students] need is a rooting in the basic scientific principles, Newton’s laws of thermodynamics and Boyle’s law.” […] We are…… Continue reading Why Education Ministers should be educated

Observations on the connectedness of our world.

Scientifically focused geeks like myself,have a tendency to speak highly of the web. We see Skype, MSN, and Facebook as great technical marvels. Yet as someone like Tim Ferris or Cal Newport observe there is a price to this connectedness. Today for instance there was a family wedding in Ireland. I wasn’t able to attend…… Continue reading Observations on the connectedness of our world.

An Introduction to Coalgebras

I’ve just dumped this here, I wrote it for a project in Luxembourg a few months ago. Its not well edited, and there are errors. I may fix these in the future. However it may be of benefit to someone. Introduction to various classical notions of algebras. Coalgebras are defined and introduced, as are various…… Continue reading An Introduction to Coalgebras

How to think

Inspired by Ed Boyden \newline Managing brain resources in an age of complexity. The main aim of this post, is to understand and synthesize some of the ideas behind learning how to think. In the words of Seymour Papert, a rather inspiring Mathematics and Computer Education pioneer, ‘students now need to learning how to learn’…… Continue reading How to think

Geometric Phases

I wrote this article as part of extending my undergraduate thesis. Its certainly not original but should be of benefit to someone. 1. Introduction A considerable understanding of the formal description of quantum mechanics has been achieved after Berrys discovery{BerryPhase} of a geometric feature related to the motion of a quantum system. He showed that…… Continue reading Geometric Phases

Commutative Algebra

These notes are based on a lecture on Commutative Algebra at the University of Luxembourg. A variety of sources including Eisenbud, the Princeton Companion to Mathematics and a Classic ‘Algebra’ text by MacLane and Birkhoff have been used to compile these notes. Hopefully it will be of benefit to those studying this course. 1. Lecture…… Continue reading Commutative Algebra