Direct flights to Fairbanks are available via a number of US airports (Seattle, Minneapolis, etc). For European participants the by far fastest connection (about 9 hours instead of 18 to >22 hours) is direct flights from Frankfurt to Fairbanks by Condor (http://www.condor.com/us/index.jsp). These operate once a week to Fairbanks and 3 times a week to Anchorage. You can also book on the Condor webpage flights from other European cities (all flights through Frankfurt, then directly Fairbanks or via Anchorage depending on the day of travel).
Airport transport in Fairbanks
There is no public transportation. To get to campus you need to take a taxi (around $15; approx 10 minutes).