Breaking Code

One of the main contributions I made to the field of Computational Topology is the construction of complicated test examples which identified limitations to existing heuristic topological software.

Triangulations of the Akbulut-Kirby Spheres

These examples have been used to test and improve some heuristic algorithms including, Random_Discrete_Morse, bistellar_simplification, and Perseus.

Software Development

I mostly program in C++, Mathematica, R and also have experience using C, Perl, Python, bash.