On Thursday, defense attorney Melissa Fulkerson asked Judge Denise Lindberg to reduce the man's bail and order him to home confinement.
But prosecutor Tupakk Renteria called Fotheringham a "danger to the community" and said the man's crimes have escalated over time.
According to the charges against him, Fotheringham was seen inside a women's locker room, watching victims dress, on the morning of Nov. 4. Later that afternoon, the man reached around and groped a woman as she was walking through a lower campus building, official said.
Then, about 8:40 p.m., the man allegedly followed another woman to her car and groped her as she attempted to get inside. Fotheringham tried to cover the woman's mouth with his hand and she bit his right finger, the charges state. When the investigation led detectives to Fotheringham, court documents state, the man had an injury to one of his fingers.
University of Utah police had arrested Fotheringham in 2010 for lewdness in a women's restroom. According to court documents, Fotheringham tried to film a woman in a bathroom stall with a cellphone camera. Fotheringham pleaded guilty to a class B misdemeanor count and was sentenced to 12 months' probation.
A preliminary hearing in connection with the groping cases is scheduled for March 5.