'Virtual' postdoc (in math) Assume that a given postdoctoral position does not require teaching/laboratory.


  Are there postdoc positions for someone who wishes to stay in his/her country and just be in touch with the post-doc advisor by e-mail or/and Skype?


Perhaps communicating only by e-mail may be slightly annoying for some people, so I also suggested Skype.

In my opinion (but correct me if I am wrong), there should be no difference between live meetings and Skype meetings. 

Remark: Truly, I am asking about a post-doc position in mathematics, but I guess that my question is also relevant for other fields.

Edit: I wish to thank all the people answering (or commenting on) my question.
In person and Skype are completely different. Writing math that you can both see becomes a challenge (in person, it's called a blackboard). I get up to fetch a book: communication is lost. Meeting takes longer than expected and it'd be nice to continue talking over lunch? Very difficult with Skype. More than two people in a meeting? Complete nightmare.

And a postdoc position is not just about talking with your supervisor every now and then. IMO, that's just a recipe for having a terrible time. You are expected to participate in your department's life. This means going to seminars, talk with people who you don't collaborate with, etc. Impossible if you are restricted to formal Skype meetings with your supervisor. Let's say you have a quick question about something you're reading. Are you going to call your supervisor about it? Or go to the office next door and ask, maybe even someone else, like another postdoc or a PhD student who works on the same kind of topic?

What you are describing is a research collaboration with someone else. You check up every now and then for status updates. It's not what most people envision when they think of a postdoc.