Undergraduate Research
I currently serve my third year on UW-L's Undergraduate Research Committee. Visit our website to learn more about undergraduate research at UW-L.I am always interested in advising undergraduate research projects. I have a few project ideas in the areas of differential equations, mathematical biology, and fluid dynamics. Please see me if you are interested.
Past Projects
Fall-Spring 2007-2008. I advised Trever Hallock on an undergraduate project on the motion of a vortex line in an averaged fluid domain. Trever showed that averaging removes the singularity at the line premiting an asymptotic model for the local effects of rotation define on the entire fluid domain. He presented his work at the 2008 UW-L Celebration of Research and Creativity Day. Trever is currently a student at UC Berkeley.
Summer 2005. I advised Devin Bickner on an undergraduate research project. Devin used partial differential equations to model the motion of a plucked guitar string. He proposed an equation that included the effects of dampening and proved that the total energy of this new model decreases as we expect from a real guitar string. Devin solved the general partial differential equation, applied it to the plucked string model, and used Mathematica to "pluck the string" and hear the solution. Devin presented his work at the Pi Mu Epsilon Conference at St. Norbert College in Fall 2005. Devin has decided to continue his study of mathematics in a Ph.D. program at Iowa State University.