From JR Nagoya station, take subway Higashiyama line to the direction of Fujigaoka, and change trains at Motoyama station to Meijo line (clockwise direction). Then get off at Nagoya Daigaku station.
From Central Japan International Airport (Centrair), take Meitetsu Kukou Line (an express train is recommended), and change trains at Kanayama station to subway Meijo line (counterclockwise direction). Then get off at Nagoya Daigaku station.
See also here for more information.