For reference, I am in mathematics. I will be on the job market again, and I need to write up a new research statement. I have interests in the area of pure mathematics that I did my thesis research on, but I also have interests in research in math education and also research in mathematics and art.
Does it reflect bad on me if I express my wide range of research interests in my research statement?
I am mostly interested in teaching positions, possible with some research, like a liberal arts college.
I am afraid it looks weird because these are quite disjoint from each other, although I have ongoing projects in each area, I am afraid may look like I'm scatterbrained.