Nature is full of settings that use the mathematics and topology. In some physical systems the understanding of the underlying algebraic math is well known, but when seen from a geometric or topological standpoint one may find new phenomena or understand old phenomena from a new perspective. In this work we study mathematical topological problems by encoding them into the properties of light thanks to our ability to manipulate light. This provides a setting to study light and mathematical problems that have not been studied before in other physical systems.
Desirable qualities: At least intro physics, plus eagerness to do hands-on experimentation, knowledge of Matlab.
Number of Student Researchers
Applications open on 01/15/2017 and close on 02/07/2017