For the first time, I've been asked to referee an article for a journal, and a prestigious one. I work in Maths, so the article has been online as a preprint on arXiv for some time, and it was on the top of my reading list anyways. I feel very confident that I can referee the article, that's not the problem. I understand it well, I don't have a conflict of interests.
But I don't know how to handle my refereeing work socially. Can I talk about it? When my office mate asks me "I've noticed you are reading this article very carefully and you're taking a lot of notes.", what can I say? Is it ok to say that I'm refereeing the article? Can I name the journal or the editor, if the conversation continues?
I'm thinking about the article a lot, so I'll inevitably talk about its contents often with my colleagues. Can I bring up my task as a referee? If I should hide it, what are some recommendations to do it?
I also happen to know another referee of the article. Is it appropriate to bring the review process up in a conversation?
And the killer aspect: If I meet the author on a conference, is it acceptable to tell them that I was a referee?
In short, I want to know what the appropriate boundaries are when discussing my refereeing work with others.