How can we uncover an image that has been hidden in higher dimensional space? This project explores how to discern an image that has been placed into 20-dimensional space. 

We are given a text file containing points sampled from an unknown manifold, and we are tasked with determining what the generating polynomials are.

The red supergiant star Betelgeuse had dominant dominant periods before the Great Dimming. We are given data on the star, and tasked with determining what those dominant periods are.

Here, I create my own game with some complicated rules and compute the Probability Mass Function of the outcomes of the game.

This projects aims to analyze the behavior of a (fictional) ecosystem modeled by differential equations. We look at three different cases where we vary the amount of adding and harvesting we do to the ecosystem.

This write-up briefly explores the revenue trends related to the characters in the hit game Genshin Impact.