Date of Award
Doctor of Philosophy (PhD)
We construct two subcanonical Grothendieck Topologies on the category of commutative, integral monoids and show that the moduli space of tropical curves is a stack in both topologies. We additionally construct two subcanonical topologies on the category of sharp, saturated, integral, commutative monoids with an eye towards answering outstanding questions of algebraicity of tropical moduli problems.
Willis, John Martin, "Topological Foundations of Tropical Geometry" (2019). Mathematics Graduate Theses & Dissertations. 70.