I am currently working towards a master’s degree in computer science, after which I’d like to pursue a PhD in mathematics. Talking to some professors, it sounds like: If I can get some things published, I’ll have a better shot at getting funding for my PhD.
I’m currently working on a research project that I plan to use for my thesis with one professor (Professor L), but I've recently received an e-mail from another professor (Professor K) with a research project in mind that sounds more publishable.
My question is: Would I be acting out of line asking Professor K to conduct this research with me with hopes of publishing a paper even though he won’t be my adviser and graduate me from my master’s program?
Are there any benefits for him from working with me, or am I just being selfish by wanting to do both projects? Note that he’s not yet tenured (will this help on his track?).