Since quite a while, I read, enjoyed and indexed in AboutHydrology the Math3ma ("Mathema") blog by Tai-Danae Bradley. I enjoyed for the choice of the topics that I found stimulating and connected to my own research on hydrological networks and the way the material was presented. She graduated recently and produced one of the best ever non-technical introduction to scientific work I have seen.
I guess that any Ph.D. student should be motivated to produce similar products because the habits to expose their own research in widely understood concepts helps them to focalize what is important in their research and it is simply good for science in any case.
here. The dissertation can be found on arXiv. The topic is generically a reflection on how to connect subsystems and which mathematics ca be useful to this scope. But certainly watching the ten minutes video gives a much better information.