Dear Eric,
it sure could, if the right data was available. Many mathematical algorithms are used by the police forces worldwide. There are many new techniques that might be quite useful and Mathematica is very well suited to implement them. As Mathematica is high level and very versatile, it would also be great to prototype new algorithms. It can run on clusters to analyse large amounts of information.
The problem is that you need data which is difficult to access in the public domain.
Best wishes,
Marco