For any postdoc that thinks the university has leverage for this reason, if you are able to get a H1B, you can switch employers easily. You are not stuck at whichever company sponsored you.
For any postdoc that thinks the university has leverage for this reason, if you are able to get a H1B, you can switch employers easily. You are not stuck at whichever company sponsored you.
* My understanding is that universities prefer J-1 visas in almost all cases [1][2], and such visas are not portable.
* H-1B is more flexible than J-1, but still not as flexible compared to a green card. In particular, the new employer has to fill out a new application, pay the fees, etc. Also, universities are exempt from the H-1B cap, but other employers may not be.
[1] https://internationaloffice.berkeley.edu/ucb_departments/h-1...
[2] https://postdocs.stanford.edu/postdoc-admins/how-quick-links...
We also had an untenured research scientist who did all of the PI's work and grant writing. After two 110+ hour weeks getting three grants written for several million dollars they went home to enjoy the weekend and dropped dead of a heart attack at 42. I miss him.