Graduate Thesis Or Dissertation

Abstract

• 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.

Creator

• Willis, John Martin

Date Issued

• 2019

Academic Affiliation

• Mathematics

Advisor

• Wise, Jonathan

Committee Member

• Thiem, Nathaniel
• Cavallieri, Renzo
• Grant, David
• Casalaina-Martin, Sebastian

Degree Grantor

• University of Colorado Boulder

Commencement Year

• 2019

Subject

• topology
• tropical geometry
• algebraic geometry
• monoids

Last Modified

• 2019-11-16

Resource Type

• Dissertation

Rights Statement

• In Copyright

Language

• English [eng]

Relationships

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	topologicalFoundationsOfTropicalGeometry.pdf	2019-11-11	Public	Download