The body of Randhir Kaur was discovered on March 8 by her cousin after UC San Francisco officials became concerned about her well-being.
Investigators seeking tips from the public said on Sunday that they believed Kaur was accosted and shot sometime after arriving home. She had spent the afternoon at a Sikh temple and had planned to spend that evening studying.
The San Francisco Chronicle reports there were no signs of forced entry. Her personal belongings were found inside a trash can about 2 miles (3.2 kilometres) from her apartment.