Projects

• UMBANET, Inc./NIST Advanced Technology Program

I am responsible for design and implementation of Intrusion Detection System for monitoring the integrity of the software developed by Umbanet. I also involved in the research of non-communicative cryptographic systems specifically concerning the application of pattern recognition methods for crypto-analysis.

• Andrews-Curtis conjecture

We are running experiments to verify the Andrews-Curtis conjecture for some presentations of the trivial group. Description of the genetic algorithms that we use and some information on the problem could be found here.

• Experiments on the Whitehead algorithm

We have produced a heuristic algorithm which searches for an automorphism between given tuples of words in a free group. Description of the algorithm and a comparison with the standard  Whitehead algorithm are given here.

• Pattern Recognition Laboratory at CUNY

I am a member of the pattern recognition lab at the Graduate Center of CUNY, established by my mentor Professor Robert M. Haralick.

• Combinatorial group theory software project "MAGNUS"

I was a senior software engineer in the Magnus Software Project. The Magnus project has been designed to carry out computations and do experiments with infinite groups.