I did quite a search looking. This is what I found.
Two years after their marriage, Ramaswamy’s father earned his Ph.D. from the University of Cincinnati while still working at General Electric in 1985, according to details in his father’s dissertation. That same year, Ramaswamy’s mother immigrated to America, and Vivek was born that August, followed by his younger brother Shankar.
https://www.foxnews.com/politics/ramaswamys-claims-came-no-money-clash-prep-school-upbringing
From the New Yorker via https://www.cfr.org/blog/meet-vivek-ramaswamy-republican-presidential-candidate
Ramaswamy was born and raised in Ohio to immigrant parents from India. The New Yorker nicely summarized the arc of his life:
Ramaswamy’s mother worked as a geriatric psychiatrist; his father was an engineer and a patent lawyer at General Electric. They came to the U.S. from South India before Vivek was born, in 1985.
Great! Let’s see their naturalization papers.