I think we should be able to search with our Interesting/Favorite Tags or our Ignored Tags, something like:
I'm open to other ways of doing this also.
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You can search for questions tagged with your favorite tags using
intags:mine search term in search box.
You can add additional terms as well:
However there is no option to search for questions tagged with your ignored tags. And I don't understand why anyone would want to search for questions which are tagged with his ignored tags.