Display categories on home page, not listings

Hi all,
On my homepage (set to “use default theme layout”) how can I display the categories rather than the listings?
I can get the look I want by creating a page with the new editor (using a Jumbotron and Category Style 3), but when I set that as my home page it doesn’t display well on a mobile. Whereas if I use the default theme layout as the home page, it displays on a mobile perfectly.