But he also claims he has a home mortgage of $380,000, owes $2,000 on a car and is responsible for three dependents an apparent reference to the three of his four children who are under the age of 18. He claims he has assets of less than $10,000.
A judge will decide whether Wall meets the guidelines for appointment of a public defender.
It can cost several hundred thousand dollars to hire a private attorney in a murder case.
Wall, meanwhile, remains at the Salt Lake County jail in lieu of $1.5 million, cash-only bail.
His first court appearance is set for Tuesday.
Von Schwedler, 49, drowned in the bathtub at her Sugar House area home in the 1400 block of Harrison Avenue (1365 South) on Sept. 27, 2011. For more than a year, authorities have struggled to determine whether the woman's death was murder or suicide.
But expert analysis of the crime scene revealed a violent struggle and Wall's DNA in the home, which he did not share with his ex-wife, according to charges filed Thursday after Wall was arrested.
The couple's oldest son, 19-year-old Pelle Wall, has long maintained that he believes his mother was killed by his father.
"The arrest of John Wall for the murder of Uta von Schwedler is a long-awaited moment for those who loved Uta in their quest for justice," Margaret Olson, an attorney for the teen, said in a statement. "We are confident ... justice will ultimately be served."
Von Schwedler and John Wall were ensnared in a bitter custody battle following their divorce in 2006. Just before von Schwedler's death, she had prevailed in court to gain custody of their three youngest children.