When you set the view style for your mods in My Mods or for the mods found in Browse, that view style becomes universal. If you set the view to "Tiles" while browsing, your own mods will be displayed in "Tiles" mode as well.

It would be helpful if these were separate. For instance, I like to browse mods as tiles but prefer to view my downloaded mods as a table. It's a bit annoying having to switch the settings back and forth.