How to manage your advisor's jealousy over your work? Say you made a smart move in solving an important question that your advisor did not think of and all of a suddenly your advisor becomes jealous because you have made your advisor look bad. What are the best way to manage situation like this?
I'd distinguish between three scenarios:


If you have accomplished something genuinely magnificent (e.g., you just proved the Riemann hypothesis), then it may be natural for your advisor to feel a little envious, particularly if it was something your advisor had hoped to do someday.  Hopefully they'll soon switch to feeling proud of their amazing student, and in any case your career success is assured by your great accomplishment.
In less extreme circumstances, this could be a real problem.  If your advisor feels threatened by your success, then you may need a new advisor, since you certainly don't want an advisor who goes around explaining how you aren't as great as you seem.  Before you reach that point, it's worth discussing these issues.  For example, you could say "I've felt some tension recently, and you seemed upset with me at the X Symposium.  Am I doing something that's making you unhappy?"  This may be an awkward conversation, but it's worth a try.  It's possible that you are somehow making the problem worse (for example, by publicly saying things about your advisor that could be interpreted as disparaging, even if you didn't mean them that way), or that your advisor will feel a little sheepish that you noticed this behavior and will try to change.  If talking about it doesn't work, then I don't know what to suggest.  You either find a new advisor or put up with it as best you can.
It's also possible that it's all in your head.  I become suspicious whenever I hear someone attribute other people's behavior to jealousy, since it's an awfully convenient excuse.  Until you have really clear evidence, you should keep an open mind regarding other explanations.