# Papers

## A Geometric Proof of the Log-Concavity of Characteristic Polynomials of Matroids

Master's thesis, San Francisco State University. (Draft, updated ocasionally).

# Expository Writing

## A Whirlwind Tour of the p-adic Numbers

Written for Math 770: Real Analysis II, at San Francisco State University. A brief introduction to the construction and analytic properties of the p-adic numbers. Though, perhaps through a slightly more algebraic viewpoint than one would expect in an analysis class.

## The Euler Characteristic on 2-Manifolds

Final project for Math 450: Topology at San Francisco State University. We introduce and prove the simple case of the Euler characteristic on orientable 2-manifolds; with a short history and motivation vis-à-vis graph theory.

## Game Theory Final Project: Rent Negotiation

The final project for Math 491: Game Theory at San Francisco State University. The project was to come up with real world situation one could model with the techniques of game theory we have learned so far. In the heart of San Francisco during the pandemic, we were inspired by the rare reversal of rents going on around us. It's nice to know even math says it's terrible to be a renter in the Bay Area.