Professional Information
Resume
If you have any questions about specific details or would like references, please e-mail me.
Publications
Includes information about published papers as well as notes, supporting Maple code for various papers, and selected sets of slides from talks.
Projects
Good abc Triples Database
A good abc triple is a set of 3 positive integers a, b, c such that
- a + b = c
- gcd(a,b,c) = 1
- c > rad(abc)
The good abc triples database access page currently contains all good abc triples whose c value is less than or equal to 10^{8}. The data was generated using python/SAGE scripts. The most recent script is this python/SAGE script which takes between one and two weeks to generate the data on an Opteron PC with 8G of memory.
Research Notes
Fibonacci Triangles URAP of Spring 2005.
Update: June 2006
This draft includes the work done with David Kettlestrings and proof of the nonexistence of Fibonacci triangles (F_{n-k}, F_{n}, F_{n}) for 5 < k < 10.