Game engine based on Riemannian geometry

Hi, I started to learn OpenGL about 3 months ago and I've been working on a game engine which uses tools from Riemannian geometry to display curved spaces. Here is a link to a video. (It has a lot to improve yet.) I'm a mathematician but I would like to work in the game industry in a programmer role and I'm making this engine to build my portfolio. I would appreciate some feedback and opinions about the engine, how "convincing" it is as a portfolio, and also some advice about the game industry. Thanks a lot!