When using the web interface, there is a favorite tags section where you can select a list of tags that you view most frequently.
This has become a cornerstone of my normal workflow on stack overflow, but it doesn't look like this is possible in the Android app.
There should be a mechanism by which you can add some favorite tags to the nav bar. Clicking these tags will take you to a list of similarly tagged questions.
Perhaps also the feed should include a section for each favorite tag. These would be presented on their own, much like how "hot new questions" and "new unanswered questions" appear in the feed.
Perhaps something like this: