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.

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!