The HoTT book is finished!
Since spring, and even before that, I have participated in a great collaborative effort on writing a book on Homotopy Type Theory. It is finally finished and ready for public consumption. You can get the book freely at http://homotopytypetheory.org/book/. Mike Shulman has written about the contents of the book, so I am not going to repeat that here. Instead, I would like to comment on the socio-technological aspects of making the book, and in particular about what we learned from open-source community about collaborative research.
Continue reading The HoTT book
It seems to me that people think I am a constructive mathematician, or worse a constructivist (a word which carries a certain amount of philosophical stigma). Let me be perfectly clear: it is not decidable whether I am a constructive mathematician.
Continue reading Am I a constructive mathematician?
This is an advertisement for two great meetings we are organizing in Ljubljana from June 15 to June 20, 2012:
There are many reasons why you should come: Ljubljana is lovely in June, with many cafes and restaurants on the Ljubljanica river bank, we have a very interesting programme, and when will you next be able to attend a meeting in which the keynote speakers are Per Martin-Löf, Ieke Moerdijk and Vladimir Voevodsky? Not to mention that the schedule is fairly light, everything is within walking distance, and we are organizing dinners at some excellent restaurants.
If you decide to come, make sure to book a hotel early and register today!
I remember how hard it was to assimilate category theory when I was a student. A beginning student on math.stackexchange.com is asking for a solution to a basic lemma about pullbacks. It really is the sort of thing one should do by oneself. Nevertheless, here it is, in gory details.
Last year I participated in a project whose goal was to record at low cost my lectures on video and put them on-line. Since the most expensive parts of recording are having a camera man and manual post production, we set up a static camera and just uploaded raw video online at videolectures.net. As you can see for yourself, the sound is good (I wore a microphone) but the whiteboard is mostly illegible. In addition, it took about two weeks for the lectures to show up on-line because there were men-in-the-middle. So that got me thinking whether there was a better way.
Continue reading Video lectures as screencasts