Math Research Paper (Draft)

In this project, along with help from Professor Robert Deyeso III and funding from the University of Iowa Department of Mathematics, I studied advanced topology and homology concepts to gain a better understanding of Heegaard Floer Homology, specifically Heegaard Floer Invariants as immersed curves. With this, we studied which certain three-manifolds X containing a Klein bottle arose as integral Dehn surgery along a knot in S3. We presented these X's as a gluing of the twisted I-bundle over the Klein bottle to a knot manifold, and we used immersed curves to generate surgery obstructions. I wrote "Integral Klein Bottle Surgeries and Immersed Curves: Some Obstructions for Fibered Knots" with Professor Robert Deyeso III in preparation.

Neural Network Digit Guesser

Using Python, Numpy, and Tensorflow, I trained a simple, connected neural network over the MNIST dataset to predict handwritten digits. The backend python server is achievable through Render and Flask. Because of this, if the server falls asleep, it takes about 60 seconds to wake up. This project serves as my introduction to machine learning, and will be the first of many. Click here to draw a digit for the model to guess!

Solitaire

Coded in JavaScript, this simple browser solitaire game was a project to learn more about HTML, CSS, and JS. The global leaderboard's backend was made with Google FireBase and is connected through a simple API. Click the cards to move them, return all the cards to the acespots to win!