Proudfoot, NicholasKutler, Max2017-09-062017-09-062017-09-06https://hdl.handle.net/1794/22756The hypertoric variety M_A defined by an arrangement A of affine hyperplanes admits a natural tropicalization, induced by its embedding in a Lawrence toric variety. In this thesis, we explicitly describe the polyhedral structure of this tropicalization and calculate the fibers of the tropicalization map. Using a recent result of Gubler, Rabinoff, and Werner, we prove that there is a continuous section of the tropicalization map.en-USAll Rights Reserved.Hypertoric varietiesMatroidsNon-Archimedean GeometryTropical geometryElectronic Thesis or Dissertation