Grad Student Taking a Car to California--Questions

https://www.dmv.ca.gov/portal/dmv/?1dmy&urile=wcm:path:/dmv_content_en/dmv/pubs/brochures/howto/htvr33
https://www.dmv.ca.gov/portal/dmv/detail/newtoca/newtoca

Note that the first link indicates that you are a resident for DMV purposes if “Property is leased for use as a residence” in California. Also, employment can include TA and RA jobs that graduate students commonly do.