Abstract
Experimental tests of Lorentz violation are important to our understanding of fundamental physics, and interest in them has picked up a great deal in the twenty-first century. For some of the most natural forms of Lorentz violation involving electrons and positrons, there are competing bounds coming from high-energy astrophysical observations and laboratory tests with optical atomic clocks. I discuss the advantages and limitations of both these approaches and how they may evolve in the future.