I finished my master's degree in computer engineering in December 2010 and by June of 2011 was put in charge of a team of interns. They left at the end of the summer, but I'm now managing another intern on a year-long project. I'm the local PI on a large, multi-site project; every week, I have meetings and conference calls for that and other projects. I'm not a manager, just a member of technical staff in a research group, but I'm certainly expected to take leadership/management roles and interface with many different groups.

We're not all Doc Brown, weird and secluded in our labs as we work on solitary secretive projects :)