I can see why searching for quantum phenomena in the brain would be encouraged or at least interesting to look into it. But I cannot even fanthom how quantum phenomena in the brain could have any link to consciousness, and even Penrose is very handwavy about this.
I do not think group or field theory is essential in the sense that most books on Galois theory will introduce the important concepts. I think I used Postnikov back in the time.
The Royal Swedish Academy of Sciences has decided to award the Nobel Prize in Physics 2025 to
John Clarke
Michel Devoret
John M. Martinis
“for the discovery of macrosopic quantum mechanical tunneling and energy quantisation in an electric circuit"
Not only is it relevant, it is even worth its own forum post I would say.
Edit: very unfortunately it is not written with ##\LaTeX##, and it is not even a PDF file!