Those fields aren't the issue, and not what he is discussing in the article. The two fields he mentions, bio-chem (the DNA sequencing) and quantum physics (higgs), both require large amounts of funding to progress. Think the large hadrom collider was cheap? Think a DNA sequencing machine is cheap?
Math is only limited by computer power, and our own personal mental computing power. Computer science, similarly. Those two fields are different from the rest of science as we know it today.