Matthew McKinley Ellis, 20, was at an off-campus apartment complex called the Millennium, located at 1651 Post Road in San Marcos, when his friends noticed that he wasn't breathing about 11 a.m. Monday.
Authorities said Ellis was a pledge for Phi Kappa Psi fraternity.
Police are investigating after a 20-year-old Texas State University student died over the weekend.
Ellis was a business major at Texas State, according to his Facebook profile and the University Star, the school's student newspaper.
According to the The University Star, the university's student paper, Ellis died in his sleep November 12 following his fraternity's initiation.
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All Greek chapters on Texas State University's campus have been suspended in the wake of a death that happened Sunday.
Preliminary investigation indicates that alcohol may have been a factor in this death but investigators are awaiting toxicology results from the autopsy. Phi Kappa Psi did not have any registered social event the day before Ellis' death, according to an online calendar of approved social events.
Flores said the University Police Department is assisting the San Marcos Police Department in the investigation and the fraternity will be reviewed. President Denise Trauth emailed the entire Bobcat community to say all Greek chapters are "prohibited from holding new-member events, chapter meetings, social functions, and philanthropic activities until a thorough review of the Greek Affairs system is completed".
Trauth released a statement Tuesday afternoon suspending all fraternity and sorority activities on campus.