No, there are no such requirements. Any Asgardian resident who is at least 18 years old, has completed all of the mandatory fields of the registration profile on www.asgardia.space, and has accepted the constitution, can become a candidate.
There are no other limitations for candidate registration. Voters will be the ones to decide what kind of mayor they need, how his or her level of education is important to them.
Also, your ability to become a candidate does not depend on your gender, social status or religious affiliation.