Lia's Project Page

Who:  I have lived in Utah my whole life, and I came to the University of Utah, not solely for ACCESS, but this has been the best part! I decided on the University of Utah for the amazing mathematics program and faculty. I enjoy going on bike rides through the amazing Utah landscape and reading all day and sometimes into the night.

My scientific/engineering interests:  I have loved math since I was in eighth and ninth grade when I had the best math teacher possible. She fostered my love for math and taught me to pursue what I loved, and math just happened to be it! Ever since then, you couldn’t stop me from making my math knowledge grow and grow!

Academic goals:  I am a mathematics major. While I will not be in my host lab after this semester, I hope to learn more about hyperbolic geometry when I go to grad school, where I plan on pursuing a PhD in mathematics.

Career goals:  Right now, I don’t know what I want to do as a career. I’ve thought about becoming a professor or going into industry and finding a job there. It’s all open for me right now; I just hope to figure it out before I graduate!

Finding distances has always been part of life. Whether it’s how many miles to drive to get to your vacation, or you’re on a plane wondering how long until you land, finding distances is essential. Euclidean distance is the type of distance people most think about, but using Hyperbolic Geometry, you can find distance in a different way. Using Hyperbolic Geometry, you can find distances that are complex because of many twists and turns. In my study of this rich subject, I considered two of the models used in Hyperbolic Geometry: the Upper Half Plane and the Poincarè Disc, as well as methods of transferring from one model to the other. Hyperbolic Geometry is used in many real-world situations: mapping the human brain, mapping the internet, possibly mapping the universe (finite vs. infinite), and other similar situations.

An Introduction to Hyperbolic Geometry Download An Introduction to Hyperbolic Geometry