It’s now been almost a year since I moved my “What’s new?” page from my home page to this blog. Since then, I’ve been quite happy with the directions this blog has been headed in (most of which I had not anticipated when I started), and also with the level of feedback, some of which has been extremely informative to me (and, I hope, to other readers as well).

Anyway, after discussing things with some of my friends and colleagues, I have decided to convert some of the posts here from 2007 into a book format, in order to place some of the mathematical content here in a more formal and traditional context (with accurate citations and references, etc.). After some thought, I decided not to transcribe all of my posts from last year (there are 93 of them!), but instead to restrict attention to those articles which (a) have significant mathematical content, (b) are not announcements of material that will be published elsewhere, and (c) are not primarily based on a talk given by someone else. As it turns out, this still leaves about 33 articles from 2007, leading to a decent-sized book of a couple hundred pages in length. For various reasons (including legal reasons), I have decided not to incorporate the comments to each post directly into the book format, although corrections, mention of relevant references, etc. will be added with acknowledgments in the endnotes to each article.

I’ve converted a couple articles into a book format, and also created a table of contents, to see what it would look like. (The format comes from the American Mathematical Society, with whom I am planning to publish the book.) It looks like it will be relatively straightforward to convert the rest (at least compared to writing books from scratch, which I know from experience to be quite time-consuming!). I’ll of course post updates here on this blog when the book is closer to completion.

At present, the structure and content of the book is still rather flexible; like all things related to this blog, it is an experiment. As such, I am open to suggestions on these matters. (For instance, I do not have any particularly imaginative title for the book, other than “What’s new – 2007″. )