Candidates had until 5 p.m. Friday to file applications with the mayor's office.
Jackson resigned two weeks ago saying she needs to focus on her husband, former Congressman Jesse Jackson Jr., who is undergoing treatment for bipolar disorder.
A commission will forward the names of at least three candidates to Mayor Emanuel, who hopes to have a new alderman sworn in by mid-February.
Emanuel will then interview candidates before making a selection.
He was scheduled to meet with the screening committee Monday.
At the close of the application process, the mayor's office received 42 complete applications for the vacant position.