University of Wisconsin–Madison, applicants should have a minimum GPA of 3.0 out of 4.0, with most admitted students exceeding 3.5. A bachelor's degree in physical sciences or engineering is expected, including coursework in differential equations, general physics and chemistry, physical chemistry or modern physics, and materials properties. While GRE scores are not mandatory, they are recommended, especially for applicants seeking fellowships. The program offers two tracks: a research-based option and a course-based option, with funding opportunities primarily available for the research track.