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Max B. Kutler

Picture of Max B. Kutler.

Thesis

Group Actions and Divisors on Tropical Curves

Advisor
Dagan Karp
Second Reader(s)
Eric Katz (UT-Austin)

Abstract

Tropical geometry is algebraic geometry over the tropical semiring, or min-plus algebra. In this thesis, I discuss the basic geometry of plane tropical curves. By introducing the notion of abstract tropical curves, I am able to pass to a more abstract metric-topological setting. In this setting, I discuss divisors on tropical curves. I begin a study of $G$-invariant divisors and divisor classes.

Proposal

Studying Group Actions on Graphs via Tropical Geometry and Chip-Firing

Additional Materials

Poster