<p>nah, if you’re in math, it’s a sign of sanity – the whole undergraduate research dealie fits better with other fields. but i should point out that there have been very successful prefrosh math surfs and i’m sure they didn’t feel any more confident than you do coming in.</p>
<p>on the other hand, a lot of math people have done enriching surfs in applied math, cs, and economics. there you can usually get something serious done. so if the only thing stopping you from doing it is the fear of pure math research, that can be sidestepped in other ways.</p>
<p>i do not recommend third order worrying.</p>