Alex Bryce will be defending his master's thesis at RIT on April 15th. When analyzing a discrete reaction-diffusion dynamical system, one primary area of interest is locating where in the parameter space Turing instabilities occur. In his thesis Alex shows that Turing instabilities cannot occur in the react then diffuse equations if all diffusion coefficients are equal. The Replicator dynamic is a system of equations that is used in evolutionary game theory applications to study behavior types in animal populations. He also discusses conditions for a Turing instability in first order discrete replicator systems and illustrates this with computer simulations of the results.
After finishing his master's degree, Alex will be starting a job at Mathematica Policy Research, Inc.
as a Research Assistant/Programmer on July 5th in Washington, D.C. He will be working on a variety of statistical research projects (depending on who the company contracts with). The DC branch works more with projects relating to health care and education policy. Some of his duties will involve programming in SAS, data collection and analysis, literacy review, and writing reports.