Wilson, Josh2018-09-212018-09-212018-06https://hdl.handle.net/11299/200188University of Minnesota Ph.D. dissertation. 2018. Major: Mathematics. Advisor: Fadil Santosa. 1 computer file (PDF); 61 pages.The conductivity of graphene can be controlled in real time. In this thesis we will explore the effects of modulating the conductivity on the dynamics of graphene plasmons. We will derive an equation to describe the dynamics of the plasmons and use it to investigate temporal Fresnel equations and a method for amplifying graphene plasmons.enelectromagnetismgraphenenanophotonicsplasmonicsThesis or Dissertation