[vlovich123]

My point is that when you get sufficiently advanced, you some times require access to resources that aren't just a pen and paper. So sure, some fields of math may still be ok to do with a pen and pencil. It wouldn't surprise me if some require large super-computer style access. Or distributed algorithms that are written by master's & PhDs at massive cloud/internet providers that rely on those large networks to run an experiment. So even in the CS domain I expect there to be Master's thesis that isn't cheap to reproduce.

Similarly, if you're trying to get a novel battery chemistry to outperform a Tesla car battery or generate a completely novel solar cell, you're not going to be able to accomplish that as an IC researcher. As you point out, there could easily be interim projects along the way to identify various interesting properties that might be useful to your long term goal which aligns with my original statement. When that's out of scope you partner with institutions with access to those resources whether those are big corporations, research institutes, or particle accelerators.