Research Interests

  • Hyperplane Arrangements
  • Dynamical Systems

For a student-faculty collaborative research project, I worked with Stephen Becklin ('16) to develop a mathematical model for a predator-prey system with an infectious disease. We analyzed the qualitative behavior of the model using tools from dynamical systems and ran simulations with various parameter values to evaluate whether the behavior seemed realistic for the case of chronic wasting disease for deer under predation by wolves.

During summer 2017, Lorelle Behne ('19) compared the qualitative behavior of various discrete and continuous models of predator-prey dynamics.