Clemson University, Fall 2010- Spring 2011
We built a virtual computer science classroom inside of a virtual environment similar to Second Life. Our hope is that we can get younger students interested in computer science by creating a social programming environment that is both fun and engaging. This project is done in cooperation with IT-ology. Collaborators include Dr. Larry Hodges, Ian Wood, Naja Mack, and Daniel Fishman at Clemson University, and Julia Nelson-Abbott at Coker College.
Double Wired Braids
Winthrop University, Spring 2009-Spring 2010
Over the course of a year, Dr. Joe Rusinko and I came up with a new method for computing the graph of commutation classes of double wiring diagrams [braids]. Using these methods we computed the graphs for 3, 4, and 5 string braids, which allowed us to confirm the positivity conjecture of Fomin and Zelevinsky for n<5. Although we worked specifically with double wiring diagrams, an equivalent model could aid in computations involving isomorphism classes of single wiring diagrams.
As part of this project, I wrote a computer program to compute every braid of n strings for fixed a fixed n, where n<5. I have made these files publicly available here. Please contact me if you have any questions about using them.