Hi there, topology is advanced mathematics. In topology a donut is consider identical to a coffee cup. Recently, more research has been going into type of homotopy - its about as general as the homomorphism. A homomorphism is the building block of algebra.
If you like pictures, check out "compact homotopy", sometimes, its done/drawn in orange and black and has a very strong effect.
The American Mathematical Society is a pretty good resource for this stuff, I would say. A colleague might tell you that the MAA - mathematical association of America is also good. Inklings tell me to avoid this. I am not a member really of the MAA.