A “Spider-Man” burglar has been scaling the ivy-covered walls of Columbia University, climbing through unlocked windows and fleeing with an armful of goodies.

The thief has skirted campus security four times since last month, police sources said.

He first struck Dec. 16 at the History Department’s Fayerweather Hall on Amsterdam Avenue, where he swiped a portable TV, a gym bag and a pen at about 5 p.m., sources said.

He returned Dec. 30, during winter break, and ripped off a laptop from Schermerhorn Hall, also on Amsterdam Avenue.

The next day, New Year’s Eve, the bundled-up bandit broke a glass door at Pupin Hall on West 120th Street, then fled when he realized the building was occupied.

He made another appearance inside Hamilton Hall on Jan. 2, again smashing a glass door.