A quick search shows this: https://arxiv.org/abs/1401.3014 https://arxiv.org/abs/1401.3014 which still requires a substantial mathematical background, but see

A quick search shows this: https://arxiv.org/abs/1401.3014 https://arxiv.org/abs/1401.3014 which still requires a substantial mathematical background, but seems rather less technical (I've not read it). There's also a textbook on rough paths by Friz and Hairer with an introduction to regularity structures; if you're at an academic institution with access to SpringerLink, you may be able to get it easily. Finally, Martin gives lots of talks, and he's an exceptionally clear speaker. I wouldn't be surprised if there's something on YouTube that's reasonably accessible to someone with a solid math / physics background.