“Murraya koenigii”

Let’s get this out of the way right off the bat: Curry leaves are an herb, and they are not related to curry powder.

Curry leaves are a part of the same family as citrus fruits. Their glossy green leaves are very aromatic, and they have a unique flavor all their own.

Recipe from Food and Wine:

https://www.foodandwine.com/recipes/roasted-butternut-squash-curry-leaves