Limit author image size

Is there a way to limit the size (dimensions) of the image a user can upload to their profile? It looks like WordPress does do some kind of limiting as uploading a 1024×768 image the result gets scaled down to 360×270, but where is that configured, either in the UI (which I haven’t found) or through code?

This is the section of the user profile I’m referring to:

WordPress automatically resizes uploads into different formats based on the settings on the Settings » Media page:

You can set up all of your different default sizes here. Though keep in mind that plug-ins and themes can define their own custom image sizes … so I can’t guarantee perfect operability in all cases.