The second question appears to be more involved than the existing answer indicates.
It is possible that your school may own the copyright (at least) to your work.
See MIT Policies and Procedures | 13.1 Ownership of Intellectual Property:
Copyright ownership of theses generated by research that is performed
in whole or in part by the student with financial support in the form
of wages, salaries, stipend, or grant from funds administered by the
Institute shall be determined in accordance with the terms of the
support agreement, or in the absence of such terms, shall become the
property of the Institute.
It is further possible that your funding source may have a larger stake in your intellectual property.
See Do I Own My Dissertation? — Columbia Copyright Advisory Office:
For instance, an employer supporting the student’s studies or an
outside funding source may lay claim to whatever intellectual property
Although the above source notes that this is not the usual case, a graduate student acquaintance of mine was not even allowed to continue work toward his thesis project after sale of his research by the university to an outside corporation. He had to choose a new project and begin again from scratch.