Integrating automated org:invite mechanism to "Join the Community" section

### Actual Behaviour

Nothing upto this point.

### Expected Behaviour

A box where users can input their email and github-username to request an invitation.

* The back-end will verify if the email is official e-mail distributed by our college
* It'll then send the invitation using Github API to the username

#### Would you like to work on the issue?

Yes

No file, test, or entry point is identified in the issue. Start by locating the site's “Join the Community” section and any existing backend integration; done means users can submit an email and GitHub username, official college email addresses are verified, and valid requests send GitHub invitations.

Written by the indexing model from the issue text.