Rachel Suggs and Dr. Tyler Jarvis, Department of Mathematics Suppose you have a physical system that can jump suddenly between two stable states. Then a function modeling the system will have a singularity at the jump. Our singularities will all be dened by polynomials, such as x3y + y5 + z2. Mathematician V.I. Arnol’d studied such singularities in […]

## Quadratic Fields with 2-Skylow Class Group Isomorphic to C2kC2

Adele Lopez and Dr. Paul Jenkins, Department of Mathematics We prove that there are innitely many imaginary quadratic fields with 2-class group isomorphic to C2kC2 for any given positive integer k. This work is based on a related result for cyclic 2-class groups by Dominguez, Miller and Wong, and our proof proceeds similarly. However, we […]

## The Planar Equitent Conjecture: Combining Isoperimetry and Minimal Surfaces

Abraham Frandsen and Dr. Michael Dorff, Department of Mathematics The goal of this project was to explore a new problem in geometric optimization: isoperimetric surfaces with both boundary and volume constraints. The idea behind the problem is the following: what is the optimal way to enclose a given volume with a surface that must also […]

## Moral Hazard in Hedge Funds: An Approach Using Stochastic Differential Games

Jeremiah Bejarano and Dr. Jeffrey Humpherys, Department of Mathematics This project is a continuation of a line of research that I have been working on over the last two years, with the object of analyzing the relationship incentive structure present in the hedge fund industry and identifying any potential for moral hazard. In economics theory, […]