The solved and unsolved problem, I assume that is what you mean. Any tips on that? Travelling for extended periods to a place where I'm less interesting than the group (which I did a few times, at Singinst, Leverage) doesn't last long once I get back.
Mark Twain comes to mind:“Keep away from those who try to belittle your ambitions. Small people always do that, but the really great make you believe that you too can become great.”
It seems that both problems are related to your arrogance and you ought to address the underlying cause.