<p>I am an upcoming undergraduate sophomore. I am thinking of applying for REU opportunities in Mathematics for the summer of 2015. However, being in a huge university I've only really gotten to know one instructor (when I took abstract algebra, smallest class I had) last year. She was an adjunct lecturer when she taught the course, but is now a professor at another university. </p>
<p>She knows me very well, and I guarantee she would write an exceptional letter of recommendation for me if I asked. But I'm wondering if it would be a bad idea because: (a) she doesn't work for my university anymore, (b) she wasn't a professor when she taught me. Also she has her PhD in Mathematics Education, so I doubt her name would be known to any admission officer reviewing my REU application.</p>
<p>Of course, I'd probably be applying the end of this year or early next year ... so I still have another semester where I could develop a relationship with some more reputable professors. I am taking two graduate courses next semester with professors who have written textbooks and published many things in their respective fields (Pure Math).</p>
<p>But suppose I am unable to develop any sort of relationship with my upcoming professors ... would it make more sense to ask for a less personal letter of recommendation from an experienced/well-known professor, or for a very personal and positive letter from an unknown professor? Thanks in advance.</p>