Albuquerque Police Lt. William Roseman told The Record newspaper Flory's website, Southwest Companions, was designed to give users access to more women once they gained Flory's trust.
Roseman says Flory told police he didn't make money off of the website and saw it as a hobby.
A Fairleigh Dickinson University spokeswoman says the school was saddened by the arrest, but did not say if the professor has been suspended from his job.
Here is the FDU statement:
"FDU is saddened by the news of the arrest of David Flory and is concerned about these serious charges. Our hearts go out to all of those impacted by this situation. Since becoming aware of the arrest, the University has cooperated with law enforcement authorities as they seek to gain the most accurate information as part of their ongoing investigation in New Mexico. We are unable to comment further because of the pending investigation."