Run multiple forums within same domain?

Hi @Falco
I am reading through this older post and am also interested in hosting something similar however I want to make sure it is the same user identity across multiple forums.

What I like about the Discourse Forum is that the different categories can show up in the home page with an image, description and the a number of topic listed (top/latest) (mobile view, also can this be done on desktop? I don’t see it as an option). However when creating sub-categories and when navigating into the parent category the topics are all listed together and loses that overall category, description, topics.

My question is which of the following is able to be self hosted:

  1. Is there a theme that allows the home page to show: Parent Category with image + description + top 5 subcategories → Subcategory with image + description + top 5 topics → List of topics
  2. Multi-site with same user sign on:
    ParentCategoryA.discourse.example.com separate forum discussing Parent Category A
    ParentCategoryB.discourse.example.com separate forum discussing Parent Category B
  3. Forum page support for a different list of categories:
    discourse.example.com/supercategoryA with all categories listed relevant to the Super Category A
    discourse.example.com/supercategoryB with all categories listed relevant to the Super Category B

Thanks in advance