Police say it appears a group of students were climbing the stairs of the tower, which is supposed to be off-limits to students, at around 3 a.m. Sunday when Monfries fell through a opening in one of the stairway landings, plunging around 40 feet and striking her head on the ground.
Her condition, as of April 14, was listed as critical.
The accident occurred early in the morning before Fordham's annual Spring Preview event for admitted students.
However the tower is off-limits to students and should have been locked, though there is now no information on whether the tower was unlocked or if the lock had been tampered with.
"Fordham will confer a bachelor's degree upon Sydney posthumously, which we will present to her parents at the appropriate time", McShane said.
Reports added that Monfries had hailed from Portland, Oregon, before attending the school.
School spokesman Bob Howe told the New York Post the tower was "always locked" and that the organisation was looking into whether the lock had been tampered with. "And also know that you are in mine", McShane wrote.
She was expected to graduate in May.
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An article in another campus newspaper, the Fordham Ram, quoted many students who said they had attempted to climb the tower.
"They're unlocked at night when they're cleaning", the student claimed. They were not identified. "I don't think they went up there with the intent thinking that it would be possible to fall".
"There's the three things you have to do at Fordham", said Lili Huang, a 21-year-old, told the Times.
Student Priscilla Morales filled in The New York Times, confessing that Fordham students recently started climbing the bell tower after hearing that a door was open or that there was a found passageway. It was just a month before her graduation.
The tower is the central part of Keating Hall on the university's Rose Hill campus in the Bronx.
"There was a huge spiral staircase going up, and we couldn't even see the top", the student said. "I would say the other two reasons for going up are the awesome view of the entire campus from up there and the ability to brag about doing it".
However, another student said they aren't sure. I'll never forget all of our memories back when you lived in NJ and I'll forever cherish them!
"I'm not sure if it's a tradition", junior Linda Yenicag said, according to CBS.
Because of the Close had to rappel down the alert paramedics of the "New York Post" according to the student, with a rescue basket from the tower window.