Edinburgh University has a unit devoted to studying parapsychology -- specifically, things like ESP, psychokenesis (moving things with your mind), and something called direct mental interaction between living systems (like "distant healing" -- making someone better through the ether, apparently).
There's an article in The Psychologist about this (but you'll need to pay to read it). And the blog MindHacks has this to say:
Here's a Wired News story of mine about science's study of the paranormal. And another story about why alien abductees believe what they believe.
The photo, by the way, is a bit of fun from Victorian times.
Thanks to Mindhacks!