Exactly one year ago this blog was briefly renamed MoonshineMath. The concept being that it would focus on the mathematics surrounding the monster group & moonshine. Well, I got as far as the Mathieu groups…

After a couple of months, I changed the name back to neverendingbooks because I needed the freedom to post on any topic I wanted. I know some people preferred the name MoonshineMath, but so be it, anyone’s free to borrow that name for his/her own blog.

Today it’s bloomsday again, and, as I’m a cyclical guy, I have another idea for a conceptual blog : the bistromath chronicles (or something along this line).

Here’s the relevant section from the Hitchhikers guide

Bistromathics itself is simply a revolutionary new way of understanding the behavior of numbers. …
Numbers written on restaurant checks within the confines of restaurants do not follow the same mathematical laws as numbers written on any other pieces of paper in any other parts of the Universe.
This single statement took the scientific world by storm. It completely revolutionized it.So many mathematical conferences got hold in such good restaurants that many of the finest minds of a generation died of obesity and heart failure and the science of math was put back by years.

Right, so what’s the idea? Well, on numerous occasions Ive stated that any math-blog can only survive as a group-blog. I did approach a lot of people directly, but, as you have noticed, without too much success… Most of them couldnt see themselves contributing to a blog for one of these reasons : it costs too much energy and/or it’s way too inefficient. They say : career-wise there are far cleverer ways to spend my energy than to write a blog. And… there’s no way I can argue against this.

Whence plan B : set up a group-blog for a fixed amount of time (say one year), expect contributors to write one or two series of about 4 posts on their chosen topic, re-edit the better series afterwards and turn them into a book.

But, in order to make a coherent book proposal out of blog-post-series, they’d better center around a common theme, whence the BistroMath ploy. Imagine that some of these forgotten “restaurant-check-notes” are discovered, decoded and explained. Apart from the mathematics, one is free to invent new recepies or add descriptions of restaurants with some mathematical history, etc. etc.

One possible scenario (but I’m sure you will have much better ideas) : part of the knotation is found on a restaurant-check of some Italian restaurant. This allow to explain Conway’s theory of rational tangles, give the perfect way to cook spaghetti to experiment with tangles and tell the history of Manin’s Italian restaurant in Bonn where (it is rumoured) the 1998 Fields medals were decided…

But then, there is no limit to your imagination as long as it somewhat fits within the framework. For example, I’d love to read the transcripts of a chat-session in SecondLife between Dedekind and Conway on the construction of real numbers… I hope you get the drift.

I’m not going to rename neverendingbooks again, but am willing to set up the BistroMath blog provided

• Five to ten people are interested to participate
• At least one book-editor shows an interest
  update : (16/06) contacted by first publisher

You can leave a comment or, if you prefer, contact me via email (if you’re human you will have no problem getting my address…).

Clearly, people already blogging are invited and are allowed to cross-post (in fact, that’s what I will do if it ever gets so far). Finally, if you are not willing to contribute blog-posts but like the idea and are willing to contribute to it in any other way, we are still auditioning for chanting monks

The small group of monks who had taken up hanging around the major research institutes singing strange chants to the effect that the Universe was only a figment of its own imagination were eventually given a street theater grant and went away.

And, if you do not like this idea, there will be another bloomsday-idea next year…

Not your idea of a romantic evening out? Neither it’s mine, but then, sometimes shit happens…

Blogging and monitoring this server’s status are no priorities at the moment, so please switch to RSS-syndication, if you haven’t done it already.

ps. all’s fine now and, I’ll be back.

Below an up-till-now hidden post, written november last year, trying to explain the long blog-silence at neverendingbooks during october-november 2007…

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A couple of months ago a publisher approached me, out of the blue, to consider writing a book about mathematics for the general audience (in Dutch (?!)). Okay, I brought this on myself hinting at the possibility in this post

Recently, I’ve been playing with the idea of writing a book for the general public. Its title is still unclear to me (though an idea might be “The disposable science”, better suggestions are of course wellcome) but I’ve fixed the subtitle as “Mathematics’ puzzling fall from grace”. The book’s concept is simple : I would consider the mathematical puzzles creating an hype over the last three centuries : the 14-15 puzzle for the 19th century, Rubik’s cube for the 20th century and, of course, Sudoku for the present century. For each puzzle, I would describe its origin, the mathematics involved and how it can be used to solve the puzzle and, finally, what the differing quality of these puzzles tells us about mathematics’ changing standing in society over the period. Needless to say, the subtitle already gives away my point of view. The final part of the book would then be more optimistic. What kind of puzzles should we promote for mathematical thinking to have a fighting chance to survive in the near future?

While I still like the idea and am considering the proposal, chances are low this book ever materializes : the blog-title says it all…

Then, about a month ago I got some incoming links from a variety of Flemish blogs. From their posts I learned that the leading Science-magazine for the low countries, Natuur, Wetenschap & Techniek (Nature, Science & Technology), featured an article on Flemish science-blogs and that this blog might be among the ones covered. It sure would explain the publisher’s sudden interest. Of course, by that time the relevant volume of NW&T was out of circulation so I had to order a backcopy to find out what was going on. Here’s the relevant section, written by their editor Erick Vermeulen (as well as an attempt to translate it)

Sliding puzzle For those who want more scientific depth¹, there is the English blog by Antwerp professor algebra & geometry Lieven Le Bruyn, MoonshineMath². Le Bruyn offers a number of mathematical descriptions, most of them relating to group theory and in particular the so called monster-group and monstrous moonshine. He mentions some puzzles in passing such as the well known sliding puzzle with 15 pieces sliding horizontally and vertically in a 4 by 4 matrix. Le Bruyn argues that this ‘15-puzzle³’ was the hype of the 19th century as was the Rubik cube for the 20th and is Sudoku for the 21st century.
Interesting is Le Bruyn’s mathematical description of the M(13)-puzzle⁴ developed by John Conway. It has 13 points on a circle, twelve of them carrying a numbered counter. Every point is connected via lines to all others⁵. Whenever a counter jumps to the empty spot, two others exchange places. Le Bruyn promises the blog-visitor new variants to come⁶. We are curious.
Of course, the genuine puzzler can leave all this theory for what it is, use the Java-applet⁷ and painfully try to move the counters around the circle according to the rules of the game.

Some people crave for this kind of media-attention. On me it merely has a blocking-effect. Still, as the end of my first-semester courses comes within sight, I might try to shake it off…

1. their interpretation, not mine [↩]
2. indicates when the article was written… [↩]
3. The 15-puzzle groupoid [↩]
4. Conway’s M(13)-puzzle [↩]
5. a slight simplification [↩]
6. did I? [↩]
7. Egner’s M(13)-applet [↩]

In a couple of days I’ll be blogging for 4 years… and I’m in the process of resurrecting about 300 posts from a database-dump made in june. For example here’s my first post ever which is rather naive. This conversion program may last for a couple of weeks and I apologize for all unwanted pingbacks it will produce.

I’ll try to convert chunks of related posts in one go, so that I can at least give them correct self-references. Today’s work consisted in rewriting the posts of my virtual course, in march of this year, on dessins d’enfants and its connection to noncommutative geometry (a precursor of what Ive been blogging about recently). These posts were available through the PDF-archive but are from now on open to the internal search-function. Here are the internal links and a short description of their contents

• The best rejected proposal ever on Grothendieck’s programme and Belyi maps.
• Monsieur Mathieu on the dessins of and .
• The cartographers’ groups 1 on the free product structure of and related groups.
• The cartographers’ groups 2 continuation and a simpler proof due to Alperin.
• Anabelian geometry on sources of representations of the modular group.
• The noncommutative manifold of a Riemann surface a mental picture to get all finite dimensional representations of the coordinate ring of a curve.
• Noncommutative curves and their manifolds extension to twisted curves.
• Permutation representations of monodromy groups how dessins give such representations.

Besides, I’ve added a few scattered old posts, many more to follow…

Twenty five years ago I was amazed that writing merely “Le Travers,Sablieres,France” on an envelop did the job. Today I’m even more surprised that typing just “Le Travers,Sablieres” into Google Maps or Google earth brings you there in seconds with an offset of about 100 meters!

Actually, the Google mark may be more accurate as it depicts the spot on an old mule-path entering ‘le hameau de travers’ which consists of two main buildings : ‘le by’ just below us and what we call ‘the travers’ but locals prefer to call ‘le jarlier’ or ‘garlelier’ or whathever (no consistent spelling for the house-name yet). If you are French and know the correct spelling, please leave a comment (it may have to do something with making baskets and/or pottery).

I’ve always thought the building dated from the late 18th century, but now they tell me part of it may actually be a lot older. How they decide this is pretty funny : around the buildings is a regular grid of old chestnut trees and as most of them are around 400 years old, so must be the core-building, which was extended over time to accomodate the growing number of people and animals, until some 100 yrs ago when the place was deserted and became ruins…

The first few days biking conditions were excellent. If you ever come to visit or will be in the neighborhood and are in for an easy (resp. demanding, resp. tough) one and a half hour ride here, are some suggestions.

Start/end point is always the end of the loose green path in the middle (le travers). An easy but quite nice route to get a feel for the surroundings is the yellowish loop (gooing back over blue/green) from Sablieres to Orcieres and gooing back along camping La Drobie. Slighly more demanding is the blue climb to over 900 meters to Peyre (and back). By far the nicest (but also hardest) small tour is the green one (Dompnac-Pourcharesse-St.Melany). If you want to study these routes in more detail using GoogleEarth here is the kmz-file. Btw. this file was obtained from my GPS gpx-file using GPS-visualizer. Two and a half years ago I managed to connect the place via a slow dial-up line and conjectured that broadband-internet would never come this far. I may have to reconsider that now as the village got an offer from Numeo.fr to set-up a wireless (??!!) broadband-network with a pretty low subscription… But, as no cell-phone provider has yet managed to cover this area, I’m a bit doubtful about Numeo’s bizness-plan. Still, it would be great. Now, all I have to do is to convince the university-administration that my online teaching is a lot better than my in-class-act and Ill be taking up residence here pretty soon…