Will it look more like:
1. Michael Luca
or
2. Kei Kewai
Homotopy is for homos only.
No need to learn this stuff otherwise.
I'm going to go out on a limb and suggest you have no clue what homotopy is, nor why computational models are important.
If you're the future of the profession, I believe real economists will eventually join Mathematics, Statistics, and CS departments, while you play in your increasingly arcane sandbox of futile assumptions that you are unable to relax due to ignorance.