Sorry for the long period of non blogging. There are a lot of things to report and various other plans for posts and I hope to come back to it soon. But it is nice to break the silence with another sensational result by Annika Heckel. I first heard about it some time ago and Noam Lifshitz just informed be that the paper is on the arXive!
And here is the abstract: We show that the chromatic number of $latex G(n,1/2)$ is not concentrated on fewer than consecutive values. This addresses a longstanding question raised by Erdős and several other authors.
The Introduction tells the history of the problem very nicely.