The pair are wanted for the death of 26-year-old Trenton H. James Cornell-Duranleau, who was found fatally stabbed Thursday on the tenth floor of the Grand Plaza Apartments on State Street, where police say Lathem lives.
A police radio broadcast warned that police consider Lathem and Warren "armed and risky", according to the Tribune.
This is a developing story.
Cornell-Duranleau was a licensed cosmetologist who grew up in MI and moved to Chicago. Pictured left side, Chicago hairstylist, Trenton Cornell-Duranleau who the two educators are alleged to have murdered.
Cornell-Duranleau and Lathem appear to have known each other as they were friends on Facebook.
Lathem had been a professor specialising in bacteria that cause disease at Northwestern University in the USA since 2007.
Residents were told by the building's managers that police were investigating "a variety of motives including a possible domestic incident", the Chicago Sun-Times newspaper reported.
The 42-year-old Lathem has been a faculty member in Northwestern's microbiology-immunology department for 10 years.
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In his LinkedIn profile, Lathem said his research is focused on pathogens and the diseases they cause.
A Northwestern University spokesman, Alan Cubbage, said in a news release that the school is co-operating with the investigation and that Lathem has been placed on administrative leave and banned from entering school property.
"We have been in contact with the police in the United Kingdom and are ready to help the USA investigating authorities in any way they need", a spokesman from the University of Oxford and Somerville College said.
Cornell-Duranleau was dead inside the Grand Plaza apartment unit when police arrived.
Andrew Warren is a senior treasury assistant at Oxford's Somerville College.
Prices range from $822,000 for a studio to $1,280,000 for a three-bedroom apartment, according to Zillow.