Residency (noun)

1. The fact or condition of living or staying in a particular place.
2. A period of time during which a person lives in a particular place.
3. The position or status of being a resident, especially a medical resident.

Origin:

Early 17th century: from french résidence, from latin residencia, from residere "remain, dwell".

Examples:

1. He applied for residency in the United States.
2. She has been living in France on a student residency.
3. The residency program is designed to provide advanced training for medical doctors.
4. The artist's residency allowed her to focus on her work for several months.
5. During his residency in the small town, he grew to love the community.