If the researcher wants to apply for a permanent residence permit in conjunction with their application for an extension, they must
- have had, and fulfilled the conditions for, a permit for research or other permits for work, and worked in Sweden for four years during the past seven years
- be able to support themselves financially
- live a well-behaved life.
If the person does not meet the requirements for a permanent residence permit, they may still be able to get an extended residence permit, if they meet the requirements.
It is the researcher who chooses to apply for a permanent residence permit. As the research principal, you do not need to do anything in your part of the application.