Informatics is concerned with information, computation, etc. Computer/Information science can be thought of as the search for finite representations of (potentially) infinite objects.

• Finite representations of infinite objects
• Towers of Hanoi

My dissertation area in computer science is applied programming language theory. To me, that involves two primary concepts.

• tree structures that arise and change during execution
• programs that write programs, that write programs, etc.

Here is some more content.

• Bezier curve approximations