I've just finished my first semester and I'm planning to apply to physics/math REUs. I know my math professor well and he agreed to write me a reference, but I do not know any other professors at that level. A possibility is another mathematics/CS professor who I have approached multiple times to ask questions beyond class material, but it's a large class so I wouldn't count on him knowing my name.
Being a freshman, would REU admissions look at my lack of one recommendation (most require two) as mitigated by my freshman status, or would I be laughed out of the applicant pool?
Aside from this issue I have good credentials (above average but not insane). I won't have a Putnam score until after most application deadlines.
I would also appreciate some guidance on how to proceed with applications given my situation: should I shoot for the moon or focus on other things besides REU for this summer?