The beautiful young daughter of two prominent NYU professors was found dead - her rotting corpse surrounded by condom wrappers - in her Greenwich Village bedroom in what cops are investigating as a murder, police sources said yesterday.

Investigators were eyeing the estranged boyfriend of Boitumelu "Tumi" McCallum, 20, the sources said.

He had a "very possessive" streak that "stressed out" McCallum, who recently moved into the apartment after finishing her sophomore year at Mills College in Oakland, Calif., the sources said.

She was last seen Wednesday by her roommates in the eighth-floor apartment at 4 Washington Square Village.

Investigators believe the unidentified boyfriend confronted her Thursday about not being invited to a party she had hosted the night before.

One of the roommates spied the boyfriend washing his hands in the kitchen that night, which is about the time police believed she was murdered.

He then left abruptly.

The two roommates told police they hadn't seen McCallum for days, but apparently never tried to enter her locked room, even though the TV was playing.

On Sunday, the apartment began to smell and the roommates called the building super, who notified cops.

Cops entered through a fire escape, and found her decomposing body wrapped in a sheet on the floor between her bed and a wall. Police said there was no sign of drugs or forced entry.

McCallum's face, which appeared to have suffered a "blunt trauma" that rendered her unrecognizable, was wrapped in a bloody towel, sources said.

Her body was surrounded by empty condom wrappers and boxes, and empty 40-ounce malt-liquor bottles. Her bed was splattered with blood, the sources said.

McCallum's mom, Teboho Moja, 52, a professor of higher education at NYU, owns the apartment. She was believed to be in South Africa.

Moja served on UNESCO's Institute for International Education Planning board. She was also once appointed by Nelson Mandela as executive director of that country's National Commission on Higher Education, and chaired the University of South Africa's board of trustees.

McCallum's dad, Robert, 53, an adjunct NYU art-education professor who lives in Harlem, also was believed to be out of town.

"You should look at the boyfriend," said a neighbor of Robert McCallum.

"She was a gorgeous girl."

The Medical Examiner's Office said the results of an autopsy were inconclusive. The office also will conduct a sexual-assault examination.

A native of South Africa, the victim moved to New York several years ago. She attended The Beacon School, an elite public high school.

Tumi McCallum had studied ballet since the age of 4, most recently at the Joffrey School of Ballet.

On her MySpace page - where she refers to herself as "Tumizzle" - McCallum wrote that her first name, Boitumelo, "means happiness, which I guess fits my personality, 'cause I laugh really loud and obnoxiously - all the time. I'm a South African baby."

She calls herself "bisexual," "slim" and "slender."

McCallum also wrote that she was a promoter for a record company called Angel Magik.