Finite Geometry

Connor Jaramillo

Finite geometry is a branch of mathematics dealing with geometric objects defined within a finite set of points and lines. These geometries can be understood by drawing ideas and concepts from traditional, Euclidean geometry and applying them in a finite setting. This presentation will demonstrate some fundamental finite geometries, e.g., four-point geometry and Fano’s geometry. These geometries are foundational in comprehending the importance of finite geometry and its applications in coding theory, cryptography, and design theory. In this talk, I will give examples designed to show this relationship.

• Connor Jaramillo, a senior mathematics major and four-year member of the Landers Men’s soccer team, graduated from Clover High School in Clover, SC, in 2020. Upon graduation from Lander, he plans to launch his career in risk management.