Follow a publication
In addition to following tags and authors on Medium, you can also follow publications.
To follow a publication, navigate to that publication's home page. The example below comes from Matter, one of the official in-house publications of Medium:

Click on "Follow" and that button will turn green and the label will change to "Following."

You'll see a note explaining that by following this publication, you'll also receive Letters from this publication directly to your email inbox. You can turn this feature on or off from your personal publications page, where you can also access any publications which you own, edit, or write.
You can also turn off all Letters from publications globally from your account settings page.
Publications can also be followed by clicking on the "Follow" button which appears at the bottom of any story published in a publication:

Publications can be un-followed by clicking again on the green "Following" button, which will then turn white.