I love this idea - it needs to be a long-running TV series.
Modern high functioning genius who is part Da Vinci, part MacGyver, and part Dr. House, gets blasted back to BFE in the stone age while conducting experiments that he started because he was fixing something broken by our society (war, starvation, environmental disaster, superbugs, whatever).
Once he gets his bearings in the new world (I'm assuming "he" because it makes the story a little easier to tell, but gender bending this might be pretty entertaining, too, especially if our heroine also had some mad combat skills to pull out every once in a while), he says fuck it - I'm going to reshape the world into a better place than the one I left.
Parallel earth is born, and we have all kinds of fun dramatic tensions to play out.
The possibilities are literally endless.