Associate Teaching Professor of Physics, UC San Diego      
This paper uses linear algebra methods to show that a point charge and the induced charge distribution on a nearby, isolated conductor can be repulsive for particular geometries.
A similar result holds for a point dipole (with slightly different geometries).
This project explored students' experiences using mathematics in physics classes as compared to their experiences in math classes.
After giving double majors a survey and conducting interviews, a thematic analysis led to four major themes concluded from the investigation.