No hyphen; adjective only. Avoid in print the noun “postdoc,” informal academic jargon for a postdoctoral position or research or funding, or for someone engaged in postdoctoral work.

Do you hyphen after post?

The prefix post- means, “after” or “behind.” It is added to adjectives without a hyphen: postcolonial, postsurgical. ... Added to a noun to create a descriptor, however, post would require a hyphen: “Post-surgery care is vitally important.”

Is postdoc capitalized?

Use lower case for “freshman,” “sophomore,” “junior,” “senior,” “graduate student” or “postdoctoral fellow.” Do capitalize these words if they are part of a designation for an entire class or a formal title.