Hi all, I'll be starting my final year of my undergraduate degree in pure mathematics next year. My intention is to do postgraduate work and then try to get a position as a research fellow. However, I don't really know what a research mathematician does on a day to day basis, I just like the idea of being paid to do mathematics. Would anyone care to enlighten me? Also, is it hard to find research positions at universities and is it common practice for researchers to teach? Thanks.