67 people applied for the position and narrowed it down to four candidates.
The top candidates are visiting the campus over the next two weeks to continue with the search process.
They'll be meeting with students and staff on both the Orono and Machias campuses.
School officials said it's a very important position, not just for the university, but also for the impact the school plays on Maine's economy and workforce.
Director of Public Affairs, Dan Demeritt, said "The new leader has to be someone committed to working collaboratively. Who understands the importance of the research mission and the scholarship mission of the University of Maine. And is committed to working across the state to build a stronger workforce and create more opportunities for the people of Maine."
The finalists includes a list of distinguished educators from three universities and one who is the chief operating officer at the National Science Foundation.
UMaine Chancellor Jim Paige is expected to make a recommendation to the board of trustees in March.