I'm not sure how this relates to Number Theory, but I just wanted to share. I actually found out about this a while ago, but I didn't have anyone to tell, so I thought maybe you guys would be interested. Avraham Trakhtman, 63-yeal-old Israeli mathematics professor at Bar-Ilan University, recently solved an abstract math problem that has been troubling mathematicians for 38 years.

The problem, known as the "Road Coloring Problem," can be explained like this: A man reaches a town he has never visited before and drives around trying to find the home of his friend even though there are no street names. The friend says not to worry and that he will provide instructions (left, right, left….) on how to get there. The question is whether the driver could reach the destination with the help of the synchronized instructions, no matter where he was lost at. Avraham's work proves that it is always possible to find one's way with such instructions. He is currently working on developing an algorithm that could be implemented for this type of problem.

Another way this could be used in real life is with the internet or computer systems. Suppose an e-mail message is lost somewhere in the system, then synchronizing instructions could be used to get it where it needs to go.

There are so many people who wonder why there are still mathematicians in research. Well, here you go. There are still so many unsolved questions and problems, and new questions arise all the time. Math isn't dead! It's still being developed. :)