A judge in nearby Cook County issued the arrest warrant for Mr Warren, 56, and Professor Lathem, 42, after police said that they were wanted for first-degree murder.
Cornell-Duranleau, 26, was stabbed to death last week in a 10th floor apartment believed to be Latham's in the River North neighbourhood.
A police broadcast warned the public that the two men at large may be armed and unsafe.
This is a developing story.
Cornell-Duranleau, a native of MI, worked as a hair stylist and loved video games, cars and cartoons, according to his obituary shared on Facebook by his mother. A brief death notice in the local newspaper noted that Cornell-Duranleau "died suddenly" on July 27.
Cornell-Duranleau and Lathem appear to have known each other as they were friends on Facebook.
Oxford University has urged one of its employees to hand himself in to police after he went on the run with a U.S. professor following a horrific stabbing murder in America.
A letter to residents from management at the Grand Plaza Apartments indicates that police are "exploring a variety of motives, including a possible domestic incident", according to the Chicago Sun-Times.
Two militants killed in South Kashmir encounter
The Indian authorities have suspended internet services in Pulwama district following the killings. Reports said a trooper was wounded in the standoff and he was immediately removed to hospital.
"Lathem has been a faculty member in the department of microbiology-immunology since 2007", the statement said.
"We will liaise with the relevant investigating authorities and provide any assistance that is required", it added.
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.
Lathem's LinkedIn page cites the educator having a PhD in microbiology from University of Wisconsin-Madison.
Cornell-Duranleau was dead inside the Grand Plaza apartment unit when police arrived.
Cubbage said Lathem worked primarily in a research lab.
Warren is listed as senior treasury assistant at Somerville College, which is part of England's Oxford University network.