I love fractals like Julia and Collatz one. Some of my interests : a neural network predicting chaotic behavior \ Advance an unresolved conjecture (collatz) \ Take inspiration from nature to make algorithm (shortest path, clique, .. ).
I would love a exotic project, off the tracks, a link between 2 domains that we haven't thought earlier, like a chaotic behavior of some system that can be applied to real life, or fractal thing to counter neural network, I don't know, exotic things !