Which faculty members, exactly, are you referring to when you talk about Bill Ayers’ connection on the Columbia faculty?
Ayers was a grad student at The New School for social Research.
He had a cousin, or sister-in-law who was a professor of Education at Barnard, Sorry I don’t remember more at this time. Been a while. Also ... the main question here is the NYC connection between Ayers (aka, “The Guy from the Neighborhood”) and Obama.