AI will not do math for us, but maybe eventually it will lead to another mainstream tool for mathematicians. Along with R, Matlab, Sage, GAP, Magma, ...
It would be interesting if in the future mathematicians are just as fluent in some (possibly AI-powered) proof verifying tool, as they are with LaTeX today.
Not accurate, he published relatively few papers (less than 20), but several in top journals like Journal of the AMS. His papers also have been cited plenty
You are right in the sense that solvability by radicals has no practical importance, especially when it comes to calculations.
It is just a very classical pure math question, dating back hundreds of years ago. Its solution led to the development of group theory and Galois theory.
Group theory and Galois theory then are foundational in all kinds of areas.
Anyway, so why care about solvability by radicals? To me the only real reason is that it's an interesting and a natural question in mathematics. Is there a general formula to solve polynomials, like the quadratic formula? The answer is no - why? When can we solve a polynomial in radicals and how?
And so on. If you like pure math, you might find solvability by radicals interesting. It's also a good starting point and motivation for learning Galois theory.
That's a common myth. See this paper referenced in the wikipedia article:
Rothman, Tony (1982). "Genius and Biographers: The Fictionalization of Evariste Galois". The American Mathematical Monthly. 89 (2): 84–106. doi:10.2307/2320923. JSTOR 2320923
Super Bowl is a trademark of NFL, and to keep a trademark you need to "defend" it. Which lawyers presumably interpret as sending cease and desist letters every now and then
I just remember making websites using <TABLE WIDTH=100%>, and at some point reading that CSS and using <div>'s was the new, more correct way to do it. I only need a simple personal website for academics, so I still use tables for the layout.
Snipping tool works for all of this