Dealing with Anger and Criticism

I noticed I sometimes feel anger when someone treats me unjustly, or criticizes me or one of my works. I *know* Buddhism advises waiting, or not acting upon anger. However, every time someone irritates me this way I am extremely tempted to say something mean, or when I get criticized I often delete my works or remove a comment. In a sense, these are respectively fight and flight responses. What would Buddhism advise to avoid reacting to anger in either way described? Thank you.