Is there anything "wrong" with applying to two programs at the same school, in different departments? Is this looked down upon in any way? I'll be applying for grad schools in the next few months, and I'm quite interested in an interdisciplinary area of research. Maryland has a "Chaos Group," and I think I'd like to do research in that area. http://www-chaos.umd.edu/ is the website for the research group. They collaborate with several departments, including the Physics department (which would be a natural choice for me, since I'm a physics undergrad) and applied mathematics. Nonlinear dynamics and chaos is listed on both the physics page (http://umdphysics.umd.edu/research/experimental/74-nonlineardynamicsexperiment.html) and the applied math page (http://www.amsc.umd.edu/research/research_group_websites.html) as research areas. So, if I wanted to do work in that area, would it make sense to apply to both the physics grad program AND the applied math grad program? Or is there a pitfall there I'm not aware of?