Martin's Blog

End of term

Posted by martin on Sunday, 16 March 2008 at 13:55

Term has finished now, and I am going home to Belfast tomorrow. I took fewer courses this term than last term, in order to have more time. Together with stepping down as TCMS President, this seems to have worked, although in the past few weeks the maths we have been doing has got much harder.

In the past week (plus a few days), I have been to three very different musicals: Kiss Me Kate by Clare College Music Society (with Mary-Ellen in the leading role), Me and My Girl in Magdalene (directed by Maria, a maths friend) and Into the Woods at the ADC. They were all pretty good. Last night there was a TCMS concert in Chapel, featuring the chapel choir singing English choral music, and then the chapel choir joined with the Trinity Singers (TCMS’ big non-audition chorus) to sing Stanfords’ Te Deum and Parry’s I was Glad, all directed by Stephen Layton. It was a great success, and the Singers enjoyed working with Stephen and the chapel choir.

I have also been to three formal dinners: last Sunday in Trinity for someone’s birthday, on Monday in Pembroke with a group of people who bought Trinity Ball tickets for Pembroke mathmos, and on Friday it was the commemoration dinner in Trinity (a grand dinner to which Scholars are invited, at which all the people who have given money to the college are remembered, starting with Edward II in 1317).

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Society websites

Posted by martin on Tuesday, 04 March 2008 at 20:50

The world is full of unfinished websites (in particular, the world of Cambridge societies, but I am sure it applies elsewhere too). The Archimedeans have had a new design (for the same content) for about three years, but it has never been officially adopted. The person who made it left the Society a couple of years ago, but intended to finish it off (although I don’t know what still needs to be done); since he has now left Cambridge, presumably it will be forgotten.

For TCMS, our IT officer, who developed the current website, graduated a few years ago, but continued as the society’s IT officer. He runs a small software consulting business, and the website is hosted on their server. This has worked OK, but has always meant inconvenience every time a change has to be made, and noone has ever completed some of the missing features of the site. Jon resigned last year, and I have now taken over responsibility for the website. I have been working on a new site, as the current arrangement remains inconvenient for both Jon and us.

I chose not to remain on the TCMS committee because after two years, I have done my bit of feeling responsible when the society fails and of practical help at concerts, and so that I don’t either become frustrated or step on people’s toes if things are done differently from what I would do. I fear that this puts me into the position that I regard as the problem in the cases above: developing a new website for the society, without otherwise being involved. Nevertheless, as the person who knows what is going on now, I think it is the best arrangement.

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Lent 2008

Posted by martin on Tuesday, 19 February 2008 at 17:09

Well it seems I have let it go for ages without posting anything. It is now week 5, which means we are just over half way through down. This term I am just doing four courses, because I didn’t want to work as hard as I had to for last year’s six courses.

The courses are: Algebraic Topology (using algebraic techniques to show that different types of object cannot be deformed into each other), Set Theory and Logic (formalising logic and the foundations of mathematics), Geometry and Groups (symmetries in normal 2 and 3 dimensional space, and the more exotic world of hyperbolic space - lots of this appears in Escher’s pictures) and Number Fields (how concepts like prime numbers generalise to bigger sets of numbers than the usual integers). It becomes increasingly difficult to give one sentence descriptions of the courses as they build up on top of earlier concepts (e.g. topological spaces).

Last week I just stepped down as President of the Music Society. It was fun and I learnt a lot from it, but it was also hard work and I am quite relieved to give it up. I am confident that Vicky and the new committee will do a very good job. I have also recently become Treasurer of the Cambridge Lindy Hoppers.

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Journey home

Posted by martin on Thursday, 13 December 2007 at 20:34

I am now back in Belfast. I came via Holyhead and Dublin on Monday. The first train was delayed, arriving 7 minutes late in Nuneaton, the time my next train was due to depart. So I was late all the rest of the way, and had to get a later ferry than planned, and to Dublin instead of Dun Laoghaire (not that that makes much difference). I got home eventually.

This article begins by remarking that there are no bins on the underground for security reasons. Some English trains and railway stations have bins, some do not; I don’t know if this is for security reasons or not. This seems to render rather pointless the careful education we received at primary school to always use a litter bin. But also the effect - at least at Chester station - is that people leave their cups and packets all over the place. Could a terrorist not leave a bomb in a takeaway cup just as easily as in a bin? OK, this limits the size, but so does the hole in many bins.

Last weekend, before I came home, was spent marking the first round of the British Mathematical Olympiad. About 30 people spent a day and a half marking on the order of 1000 papers. This year for the first time marked scripts are to be sent back to the candidates. I suspect these will often be hard to interpret, and it will take a few years for the markers to properly take this into account when marking, but it should be valuable in giving people a greater idea of how the papers are marked and what they did wrong.

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Michaelmas 2007

Posted by martin on Saturday, 01 December 2007 at 16:55

I have managed to get through an entire term without posting anything - this wasn’t intended, but I have been very busy this term. A major part of the reason for that was that I did a lot of work - six 24-lecture courses, where I have done at most five in a term in the past. At the start of term I had only intended to do four or five courses. When I told Imre (my Director of Studies) that I wanted to do Principles of Quantum Mechanics because of its algebraic rather than physical content he told me I should do Linear Analysis, which covers the underlying mathematical ideas needed for most of physics in a very abstract way. This wasn’t quite what I meant - QM is mathematically elegant in its own right - but I enjoyed both.

I was convinced to do Probability and Measure, which I hadn’t intended to do, but turned out to be the course I enjoyed most. It puts the idea of probability on a rigorous footing, along with integration, and contains a lot of hard pure mathematics - most people, including me, found it difficult.

I also did Dynamical Systems, which looks at methods of figuring out the approximate long-term behaviour of equations which cannot be solved exactly. This turned out not to be as fun as I had hoped. Finally I did Graph Theory (graphs here are simple systems of dots some of which may be joined up) and Coding and Cryptography.

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