How to display content based on post author?

I know that Jetpack's 'widget visibility' option can be used to display widgets on specific author pages. I would like to be able to do this in my theme's template file.

The list of conditional tags has options to see if one is on a specific author's archive page but not, seemingly, to check who the specific author of a post is.

This is basically what I want to do:

If author is Mr. Incredible, show some html. If author is Mrs. Incredible, show different html.

Is this possible? I imagine it should be but I haven't been able to find any how to on it yet.