Posted by martin on
Wednesday, 16 December 2009 at 19:48
Last week I gave a talk on Hodge theory. For the Differential Geometry course, all the students have to give a talk on a topic related to the course. The talk was very long - 1 hour 45 minutes - but this is about the average length of the talks so far. I did my best to shorten it by leaving out unimportant details. Had it not been for the fact that many other talks were longer, I would have removed sections of it entirely, but it did cover about the minimum needed to reach a point of interest to me as an algebraic geometer.
This was the first time I have given a talk of any length in French. This was not too difficult, as I had practised the talk, but probably did slow me down a bit. I am sure the language was far from perfect; for example, I probably should have used the subjunctive all over the place but I didn’t bother with it. But the audience were not too concerned about that.
The first half of the talk contained a lot of analysis, needed to prove the Hodge theorem. This is not my area, but it was fun to learn a little bit; I skipped out all the tedious calculations. The second half contained applications of this to complex manifolds, leading up to the fundamental example of a Hodge structure. I shall need soon to learn about the latter in a more abstract setting; no doubt preparing this talk has given me some of the motivation for them, but I am not sure how useful all the proofs will turn out to be.
Tags hodge, languages, m2, maths, talk
Posted by martin on
Sunday, 20 September 2009 at 15:52
I had my first lectures in Paris this week. They are much longer than Cambridge lectures: 2 or 2.5 hours per lecture. And you have one lecture in the morning, then the same course again in the afternoon. (In Cambridge lectures are 1 hour, you have about 3 different lectures in a day, and they are only in the mornings.) I had this every day this week, so that was quite a lot. For the first three weeks there are some introductory courses, which take place every day. When term starts properly in October I will only have 2 or 3 days of lectures per week.
The two courses for which I had lectures this week were Algebra and Geometry, and Complex Analysis. The first is all stuff I already know from Part III. Sometimes it is interesting to see it taught from a different (more geometric) perspective, and sometimes it is just boring. The Complex Analysis one is not really relevant to what I am interested in, but I thought I would go along just to broaden my knowledge.
The lectures are all in French, but the lecturers speak reasonably clearly so that is rarely a problem. Reading what they have written can sometimes be harder, and they don’t write full sentences on the board as lecturers usually do in Cambridge. That means that I’m not learning how to write maths in French as I had hoped, and I often don’t know what to write to fill in the gaps in what they wrote on the board.
There are about 18 people attending the lectures. The audience at the Algebra and Geometry ones is quite international. I think I am the only native English speaker, but the majority of the audience are probably more comfortable speaking English than French. There are more French people at the analysis lectures.
Tags france, languages, lectures, m2, paris
Posted by martin on
Tuesday, 17 October 2006 at 20:29
Two weeks into term, here’s a bit of what I’m doing. The courses I’m doing this term are: Analysis II, Linear Algebra, Methods, Quantum Mechanics and Markov Chains. Of these, Methods is probably the most interesting as it is techniques I know nothing about. Linear Algebra is particularly boring; this is not really a good term for pure courses. I am also going to the lectures for one course on General Linguistics, and this week I will be starting classes in Mandarin Chinese as well as continuing my German classes.
On Thursdays I am singing with the Trinity Singers, the non-audition chorus run by Trinity Singers who are doing Handel’s Messiah this term, and doing some of the organisation for that. We appointed a Singers Secretary last week, relieving me of much of that. And on Wednesdays I am going to swing dancing classes. This is nice because it is not just a university organisation although there are quite a lot of students who go. This is also one reason why I like Emmanuel United Reform Church (besides being Protestant and non-Established): there are few students there but well-integrated with the rest of the congregation - hard given the temporary nature of students and the ease for a church of catering to them as a distinct group.
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Martin
Tags emmanuel, languages, lindy, tcms, tripos
Posted by martin on
Monday, 28 November 2005 at 08:46
Yesterday I was stewarding at the College Advent service, the biggest service of the year. This meant welcoming people and directing them to seats; but also being in charge of fire safety. In fact in the event of a fire I was responsible for getting people through the main doors from the Chapel into the ante-Chapel; this is a major job as there were 500 people in the Chapel and only one other fire exit (and that exit is newly added). Fire is in fact a significant risk at this service because it is all candle-lit. Fortunately that part of my duties was not required.
The last few days of this week were very busy as I had one examples sheet due in on Thursday and another on Friday, as well as a German class and supervision on Friday. I now have just two more questions left to do on my last examples sheet for this term, and two more supervisions. Plus a German listening test on Friday, the day before I come home. In terms of going to all courses’ lectures, there are three left: Law, Oriental Studies and History of Art. There are also three more days of lectures. History of Art in particular is difficult as there is only one first year in the college doing it and I don’t know who they are. So I may or may not get that completed.
For those in Focus, see you on Sunday,
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Martin
Tags cambridge, chapel, languages, lectures, trinity
Posted by martin on
Monday, 24 October 2005 at 08:32
On Saturday night we had our Matriculation Dinner. This is a very elaborate (and very nice) dinner in the college Hall, attended by all the freshers as well as the Master and Fellows of the college (who are seated among the students). The catering department failed to put me on the seating plan, but they put me in the seat of someone who didn’t turn up and I greatly enjoyed the dinner.
On Friday I started my German class. We had a two-hour class so covered a lot of the basic phrases. I have also been to lectures in Anatomy and Anthropology this week. In two of the three Maths courses, we have reached the end of what I already knew and are starting on new stuff. I have two supervisions on Tuesday so I have had quite a lot of work this weekend (in so far as there is a weekend with lectures on Saturdays - Sunday is the only day which is really different from any other).
Just for you to see where I am living, I have taken a few photos of the college.
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Martin
Tags cambridge, languages, lectures, trinity, tripos
Posted by martin on
Monday, 17 October 2005 at 19:34
Things have begun to become more settled this week: lectures in the mornings, working and relaxing in the afternoons. I have signed up for a German course on Friday afternoons, and I am going to the college Amnesty International group. Each Tuesday they have a meeting to write letters to governments about specific people around the world who are in danger of being tortured, executed, or unjustly imprisoned.
I am also going to an ecumenical discussion group on Thursday evenings, who have a speaker from a different church each week. This week it was the Orthodox Church, which was something I didn’t know much about and was very interesting. On Sunday I went to the College Chapel. This is an Anglican chapel, but the service is (apart from changing the order of some parts) almost identical to the Catholic Mass.
Last Tuesday I had my first supervision, on differential equations. This was great and I think I learned a lot from it. I have another tomorrow, on algebra and geometry. I have also set out to go to a lecture from every subject - this week I went to Physiology of Organisms from Natural Sciences and Spanish Linguistics from Modern and Medieval Languages.
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Martin
Tags cambridge, chapel, churches, languages, lectures, supervisions
Posted by martin on
Monday, 13 June 2005 at 10:32
Pushkin
Well this week began with some rather unusual activities. On Monday our Russian class went up to the folk museum to show some Russians round. We (especially me since I had been in England when it was organised) had very little idea who they were. Anyway there were 10 girls and 2 boys of around 15 from a school in St Petersburg, who had come to perform at the Waterfront at the Pushkin Trust’s 18th birthday celebration. This is probably the first time I have spoken to foreigners whose native language I speak better (or at least as well as) they speak English. We spoke mostly in Russian and it was great fun although sometimes of course difficult to make yourself understood. It is so much easier to speak Russian in the classroom!
I should explain what the Pushkin Trust is in order that you are not as confused as I was - I only found out gradually. It was established by Sacha, the Duchess of Abercorn, to encourage creativity (primarily creative writing) in schools across Ireland. Pushkin was a Russian poet in the 19th century, and an ancestor of the Duchess. We met her briefly as we were leaving the folk museum although I did not know who she was - just someone called Sacha.
Then on Tuesday I went to their performance at the Waterfront - still not really knowing what to expect. Ever been somewhere where you had no idea what was going on or why you were there? Anyway there was an exhibition of the written projects and artwork several schools involved in the project had produced on the theme of Threads, then a number of schools gave a performance. Each school had written a poem, then worked with professional composers and choreographers to produce a music/dance setting of the words of the poem, which they performed. Due to the link with Pushkin (who worked much of his life in St Petersburg), several Petersburg schools had also participated this year, and one of them was selected to come over and perform their dance as well.
Laptop
On Tuesday evening my new laptop arrived and I have spent much of the week playing with that - I am using it to write this. Also, sarge (the latest release of the Debian GNU/Linux distribution) was finally released on Monday - hurray! We can stop arguing about release dates and move on to coding for the next release. So I bittorrented the CD and installed that on my laptop, removing the pre-installed Windows XP as quickly as possible. It is an amd64 laptop, but so far I am only using it in 32-bit mode. Amd64 is not yet officially part of Debian, but there is an unofficial port which I will install this week. Also, I will not be getting a wireless router for a couple of weeks so accessing the Internet from the laptop is rather awkward at the minute - I have to bring it downstairs, set it on the desk beside the desktop PC and transfer the Ethernet cable from the desktop. Plus the cable modem has to be rebooted every time you change the card it is connected to.
Yearbook Photo CD
Besides setting up my laptop, I have been involved in another major computer project this week. You may know that I was responsible for all the IT stuff for the school Yearbook. This was finally despatched to the printers about 2.5 weeks ago and I thought that was the last I would have to do with it. Well I suppose it was the last I have had to do with the printed book.
There was also a plan to put together a CD of assorted photos that could be distributed with the Yearbook. As far as I remember, this was put forward as a vague idea at one of the early committee meetings but nothing then happened on it for quite some time. Eventually a notice went up in the Sixth Form Centre asking for people to give photos to Peter Wasson or Becky Webber. This was at the same time that there were lots of Yearbook posters in the Centre, about articles, profiles and photographs that were to be taken (e.g. Fullerton/Downey/Stranmillis alumni, the Ginger Society) - on one particular day I counted seven different Yearbook-related posters. Given the amount of work I did on the printed Yearbook, especially technical formatting work after all the editorial stuff was done, I am quite glad that putting this CD together was not my responsibility although it would have helped if they had coordinated with me occasionally. Some people did assume I was responsible for it and gave me photos, which I simply passed on to Peter.
Mr Slater took a look at the photo CD, as he took a look at the printed book, for censorship reasons, and decided he wanted nothing to do with it. Based on what he said at our meeting and on having looked at every photo on the CD myself, I believe it was a single photo that caused him to take this decision. Whether people were originally informed that the CD would be included in the price of the Yearbook I am not sure but the position now is that it is entirely unofficial. Incidentally on financial grounds I am unsure whether the price would have covered CDs - my calculations suggest that the Yearbook is only just above break-even. I suppose 300 CD-Rs do not cost that much.
So Peter and Becky announced that they would burn and distribute the CDs themselves, and make a charge to cover expenses. Alan then had the idea of using BitTorrent to distribute these CDs, running our own tracker on henry.methody.org. The school’s 2MBit symmetric bandwidth gives a good start for downloads, but clearly if 100 people try to use it to download 532 MB it takes a long time. So we get other people to seed as well, and generally use all the advantages of BitTorrent. (Note: this is on our legacy network; it would clearly be impossible on C2K. This Internet connection will stop at the end of June, and this is almost certainly the only time we will use a significant part of its upstream bandwidth.) I have quite a while learning about BitTorrent, how to run a tracker and seed a torrent, plus we had to get the thing uploaded to henry to start with. This was hampered by the fact that after we thought we were ready, Peter and Becky decided to revise the CD and give more sensible names to a number of files. However, we knew better what we were doing with the second CD. On the other hand we were hampered by Internet connection failures (my own connection has been down for most of the afternoon for the past several days). When I had nothing else to do, I amused myself writing convoluted shell scripts - for example to figure out which files had been renamed by matching up file sizes and copy files across from the old directory tree to the new, thereby getting 99% of the torrent even while off-line. We now have at least 3 (I think 4) seeds plus another downloading, and are planning a general announcement tonight.
Exams
The majority of my A-levels are on or after 21st which is why I have so much time to spend on computer stuff at the moment. Nonetheless it is necessary to squeeze in a few exams: on Thursday I had Computing modules 1 and 2 (I am doing both AS and A2 Computing this year). I only even started reading the syllabus for this on Tuesday, but I know the vast majority of it anyway so the exams were quite easy. The one thing I am not 100% clear on is communication systems, and the difference between bit rate, baud rate and bandwidth. A question did of course come up on this. They give you far too much time for these exams - not just me but most other people were finished in half the time. The exams are 90 minutes each so went on until 1630; Mr Welshman was apologising at 1620 that he had to keep us another ten minutes, and suggested people might check through their work in order that the time would pass more quickly.
An altogether more daunting prospect was my piano diploma on Friday. For this I was playing J. S. Bach’s Prelude and Fugue in C minor (The Well-Tempered Clavier, Book 1 No. 2), Mozart’s Sonata in B flat K.333, Schumann’s Arabeske Op. 18 and Scott Joplin’s Maple Leaf Rag. The rag is my best piece; I played it for my Grade 8 a year ago, although not then particularly well. The Bach I can also play well and the Mozart mostly so - there are one or two bits that give technical difficulties. The Schumann is not great and a week ago I could not keep the main theme steady at all. For the Bach and Mozart I had trouble getting a decent dynamic range out of the exam piano - it seemed rather different from my piano at home. By the Schumann I was getting used to it, and I think I played that well, including conquering my pulse difficulties; the exam piano was perhaps more suited to this piece than mine. The rag of course was good but I don’t think I did well on the sight-reading. Still that is over now, probably the last serious piano playing I will do - I want to learn the violin next year.
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Martin
Tags alevels, debian, languages, laptop, methody, music, tech, yearbook
Posted by martin on
Monday, 06 June 2005 at 17:38
I began the week in Oundle for a Maths camp - the final selection of the team for the IMO. On Tuesday we sat NST (Next Selection Test) 1. This is an IMO-style exam i.e. there are three questions in 4.5 hours. It was however an easy exam and I had solutions to all the problems in 70 minutes. After working out a solution, it is necessary to write it up carefully so that the markers can understand it. I spent the rest of the exam doing that very slowly and carefully, ensuring there were no holes at all and since I had so much time, even provided a summary of each solution to guide the marker and cross-referenced the page numbers between rough work and final solution. I still had quite a bit of time to spare. In all, four out of the eight squad members claimed three questions although they did not all get full marks on every question.
I missed NST 2 on Wednesday because I had to come home for my French oral. In this oral you debate a topic of your own choice for five minutes: I had chosen to argue against nuclear energy. I first did this topic at Christmas, when we were only given a choice of five topics; to my surprise I ended up the only one choosing nuclear energy (Kathleen initially chose to be for it but switched to a different topic). When I first picked the topic, I did not feel strongly either way; the more I researched it the more convinced I became against it. Then I left the topic for several months until Easter when it came time to choose the A-level topic. To make things easy and since I had been the only person doing it at Christmas (and would therefore almost certainly be the only person to do it for the A-level since you have a completely free choice), I stuck with nuclear power (although unfortunately I had kept my presentation and some other French notes, but little of my original research). When I got back to thinking about it again, I became less and less convinced that it is a bad thing. Apart from the nuclear waste argument: it seems to me foolish to produce all this dangerous waste we don’t know what to do with, although again I am no longer as convinced of the unfeasibility of some options as I was.
Following your chosen topic, you speak on at least two other topics of the examiner’s choosing for another ten minutes. He asked me about the environment (a natural thing to follow on from nuclear power), the pace of modern life, and the European Union. The EU was an obvious choice given the referendum on Saturday; in conversation however it arose from the previous question, when he had asked about the 48-hour EU limit on the working week, and I mentioned the French 35-hour week. I think I did fairly well, though looking back I’m not sure how much I did to justify my opinions as well as state them. The examiner seemed nice enough, and he phrased his questions very slowly and ponderously; that fits with my style of answering them, which is hopefully a good thing.
The rest of the week I have had off, as I don’t have an exam until Thursday coming. I spent much of my time on the computer, ordered a laptop on Friday of which I am eagerly awaiting delivery, went to a Make Poverty History rally in Belfast on Saturday and completed a first draft of my Gloria.
I have also spent quite a bit of time doing Maths - I have been working through all the questions 2 and 5 from the 1990 IMOs. If you don’t know about the IMO, you will ask: why questions 2 and 5? Well in each IMO there are two exams, questions 1, 2, and 3 on the first day and 4, 5 and 6 on the second day. Questions 1 and 4 are (relatively) easy, 2 and 5 of medium difficulty and 3 and 6 are hard. Each question is marked out of 7, making a maximum total of 42. In 2002 and 2003, 29 marks were required for a gold medal; in 2004 it was 32. So you can see that to get a gold you really need to get questions 1, 2, 4 and 5. If they are perfect, that makes 28 marks so you can pretty well assume that you still need a mark or two on 3 or 6; depending on the difficulty of the paper, how many additional marks are required will vary a bit, but a full extra question ought to be sufficient.
Questions 1 and 4 usually are quite straightforward if you are well trained and the UK works very hard on knocking them off like clockwork: in 2003 we got 82 marks out of a possible 84, placing us in third place on these 2 questions (while we were tenth overall, with something like 3 marks in total on questions 3 and 6). I should have no trouble with those questions, which is why I have been practising on 2 and 5. I have now tried all the 2s and 5s back to 1996 and got almost all of them in under an hour, which is a good thing. Questions 3 and 6 are often out of my reach, but as explained above I need to make some progress on them so I will try a range of questions 3 and 6 later.
What have I been reading this week? Molière’s Le Misanthrope: it’s seventeenth century French drama, not the best thing to read before your French oral (like reading Shakespeare to improve your spoken English, several of the grammatical rules and words have changed). So I’ve been thinking in iambic hexameter in French.
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Martin
Tags alevels, imo, languages