“Advice to young mathematicians”

$\bullet$ Patience.

$\bullet\bullet$ Persistence.

$\bullet\bullet$ Work hard.

$\bullet\bullet\bullet$ Learn one’s field very well.

$\bullet\bullet\bullet\bullet$ Ask yourself lots of questions, even stupid ones! (when does this lemma work? when it doesn't? is there a generalization of it? is there a similar lemma about ...)

$\bullet\bullet\bullet\bullet\bullet$ Don’t base career decisions on glamour or fame.

$\bullet\bullet\bullet\bullet\bullet\bullet$ Think about the “big picture”.

$\bullet\bullet\bullet\bullet\bullet\bullet\bullet$ Professional mathematics is not a sport (in sharp contrast to mathematics competitions).