> what exactly are her qualifications? <
The exact same ones that got her appointed a professor at Columbia University. In other words, no qualifications at all except for her last name.
Side note: Chelsea is still a professor there. Last time I checked, her university biography listed no courses being taught, no office hours, and no grad students being mentored.
Professor at Columbia sure looks like a swell job.
Basically the old-style mob “no show” job. Kickbacks to the “family” no doubt.