I had applied to Florida State University, among other schools for a PhD math for fall 2023 and the application is still showing "under review". Recently I finished a 5-week summer research program and I updated their grad admissions office about the work I did there. I received the following response:
"Thank you for your application to FSU Math. I have added this material to your application. We have no funding remaining at this time, do you want to be considered for a non-funded offer of admission?"
I have no idea whether an unfunded PhD is even possible. I have the following questions regarding this and I would like to respond as soon as possible.
Is it a good idea to accept an unfunded PhD offer in Math? (Most answers here advise against it). I do not have much savings, so I'd be relying on part time jobs or a student loan.
Is it still possible that they might receive more funding in the near future?
Would it be unethical to accept this possible unfunded offer and look for a funded offer elsewhere again next fall?
Does Florida allow student visa holders to find employment outside of the university and does it restrict the number of hours of employment?
Even though my interests have shifted slightly after my summer program, I still might end up applying here again for the next admission cycle, so I do not wish to leave a bad impression by agreeing now and declining an offer later.