I have finished the research, but have some follow-up work to do? Can I apply?

If you have a small amount of research to do along with the writing, such as updating some data, or follow-up interviews for a specific chapter, you can include this in your proposal. It should last no more than a quarter of the total fellowship period requested, and it should not significantly alter the shape of your proposal. You should be clear as to why this research component is necessary and what it entails, as well as what clarifying what  research is already completed.

Must I be affiliated with an anthropology department to apply for a Hunt Fellowship?

No. You can apply regardless of your departmental or professional affiliation. However, funding decisions are made on the basis of the potential of the project to make a significant contribution to the field of theoretical anthropology. You must clearly demonstrate this potential in your application and also show a good knowledge of the relevant anthropological literature. It is not sufficient to merely use anthropological techniques (e.g. participant observation) to carry out research in your own disciplinary area or to carry out research in a non-western setting.

Can I apply for a particular phase of a project?

You can apply for funding towards a particular phase of your research. If it is a beginning stage it must be clear that the funded phase will stand alone as a project with clear goals. If you have already begun the research, you should make clear for which phase support is requested and how it relates to previously completed research. You can also apply for distinct phases of a project (e.g. research planned to take place over two consecutive summers). Funds are never awarded for research after its completion.