H-1B: the specialty occupation work visa
The H-1B is the main US work visa for degree-level jobs. The employer petitions, pays the prevailing wage, and files a labor condition application. There are 85,000 new visas a year (65,000 plus 20,000 for US master's holders), allocated by a registration lottery held in March, with a beneficiary-centric selection that gives each person one entry regardless of how many employers register them. Universities and non-profit research organisations are exempt from the cap. Initial grant 3 years, extendable to 6, and beyond 6 while a green card is in process.
Education, not legal advice.
Talk to an attorney who does H-1B work