as an Ph. D.you get salary from the University.
So if you should be eligible to get unemployment benefits from an A-kass as an employee, you must have been member for one year and have worked (you have..)
for at least 1924 hours during the last 3 years.
BUT you can still get unemployment benefits as an graduate. You will (only) get 80% of the normal benefits-rate, but you get it even if you have not been member
in an A-kasse. BUT remember to sign up for membership AT LEAST 14 days after finish your Ph. D.
However you can apply for membership now - it is free untill you are finished with Ph. D.
read more about rules for graduate here: http://a-kasser.dk/graduates/