I am doing a PhD in the USA. I already have a masters in France and a 5 year bachelor. I didn't think it was a bad idea to take courses again in the US, as I am changing of area. My acceptance was recomended by an advisor who is paying partially my stipend (I receive 73% of my stipend from my government, who also covers muy tuition and partially the health insurance. The local University (not advisor) completes the health insurance cost). This year taking undergrad courses I haven't felt very challenged, and in a paper reading and discussion group I have found some professors with a more interesting (for me) approach to things.
Am I stuck with my advisor even if usually students pick a topic after the 1st year? How can I approach this topic with whom? The graduate advisor? My PI is also the chair of the department.
Another thing is that I know some people that do not have funding at all in this department. I wouldn't want to be stuck in this situation as the rent takes around 2/3 of my income and I have my wife living with me.