The inventor does not bear the cost of applying for and maintaining the patent, nor does he have the right to transfer the license after the patent is granted.
Under normal circumstances, the school has a special department to manage the patent application and patent maintenance of the school, and some schools have such a department called "Science and Technology Department". You can consult the teachers of the Science and Technology Department and take the school as the applicant to learn how to handle the specific procedures.
If you want to be a patent applicant (patentee), and the patent application is not completed by the material and technical conditions of the school (that is, there will be no patent ownership dispute with the school), you can be an applicant alone, but you have to bear the expenses of patent application and patent maintenance in the future, but individual applicants can apply for a reduction.
Of course, you can also try to negotiate with the school to become an applicant, share the cost of future patent application and patent maintenance, and enjoy the benefits generated by future patent licensing and transfer.