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In a statement late Tuesday afternoon, the school said it was not releasing the name or any other information about the student, pending permission from the family.
The statement says the student was with two friends who were watching the race at the finish line, not far from the university's campus. One of the friends, also a grad student at the university, was injured and is at Boston Medical Center in stable condition.
The two other victims who died have been identified as 8-year-old Martin Richard, of Boston, and 29-year-old Krystle Campbell, of Medford.
Her father says Campbell, of Medford, Mass., had gone with her best friend to take a picture of the friend's boyfriend crossing the finish line on Monday afternoon.
William Campbell says his daughter, who worked at a restaurant in nearby Arlington, was "very caring, very loving person, and was daddy's little girl." He says the loss has devastated the family.
He says the friend was seriously injured in the explosion.
An 8-year-old, Martin Richard of Boston, also died. He was at the finish line watching the race with his family.
The boy's mother, Denise, and 6-year-old sister, Jane, were badly injured. His brother and father were also watching the race but were not hurt.
They had gone to get ice cream, then returned to the area near the finish line. Neighbor Jack Cunningham said Martin's father was a runner but had been injured and didn't run the marathon.
"They were looking in the crowd as the runners were coming to see if they could identify some of their friends when the bomb hit," Lynch said. He described the family as very strong and said they were doing better than might be expected.
On Tuesday morning, candle burned on the stoop of the family's single-family home in the city's Dorchester section, and "peace" was written in chalk on the front walkway. A child's bicycle helmet lay overturned on the front lawn.
"What a gift. To know him was to love him," said longtime friend Judy Tuttle, who remembered sitting at the dining room table having tea with Denise Richard while Martin did his homework. "He had that million-dollar smile and you never knew what was going to come out of him. Denise is the most spectacular mother that you've ever met and Bill is a pillar of the community. It doesn't get any better than these people."
Neighbor Betty Delorey, 80, said Martin loved to climb the neighborhood trees and hop the fence outside his home.
"I can just remember his mother calling him, 'Martin!' if he was doing something wrong," she said. "Just a vivacious little kid."
Delorey had a photo showing Martin dressed as the character Woody from the Toy Story films, wearing a cowboy hat, a sheriff's badge, jeans and a big smile. His sister, Jane, was at his right dressed as Woody's friend, Jesse. Their older brother, Henry, was to their left, dressed as Harry Potter.
"I'm sick to my stomach," she said. "It's hard to say anything really."
The children's father, Bill, is the director of a local community group, and an avid runner and bicyclist.
Denise Richard works as a librarian at the Neighborhood House Charter School, where Martin was a third-grader and Jane attends first grade.
Counselors were being made available Tuesday to staff and students, said Bodi Luse, a school spokeswoman.
"We are devastated," she said. "The whole community is devastated."
Cunningham remembered running in a community 5K race with the Richard family on a rainy day years ago. He said Martin would jump out of a stroller that his mother was pushing to hop in the mud puddles along the route.
"I just can't get a handle on it," he said of the boy's death. "In an instant, life changes."
