Thompson was killed by police. One officer is hospitalized with a head wound.
The remains were found about 12 miles from campus.
Students who were in the cafeteria at the time said the gunman stared at the students as he shot them.
Investigators think a burglary of the man’s apartment led to his death.
It happened around 9 p.m. Thursday in the 700 block of Wisconsin Street.
Officials say it happened at The Bucket Bar and Grill on Harrison Street around 3 a.m. Friday.
Velp Avenue was closed for a time Friday morning.
Police say a man went into the Family Dollar store on Washington Street after 7 p.m. Thursday and demanded money.
Justine Boyd allegedly shot Sharon Goffard on Aug. 14, 2013, at the Neenah Walmart where both worked.
Police continue to investigate this incident and believe this is the act of one person.