I usually just downvote and move on, but this one's actually interestingly wrong. > solutions to equations of multiple variables Multivariate Galois theory is

I usually just downvote and move on, but this one's actually interestingly wrong. > solutions to equations of multiple variables Multivariate Galois theory is a thing. See e.g. https://icerm.brown.edu/materials/Slides/htw-20-mgge/Galois%C2%A0theory%C2%A0in_several_variables_-_a_number_theory_perspective_]_Andrew_Bridy,_Yale_University.pdf https://icerm.brown.edu/materials/Slides/htw-20-mgge/Galois%... > extending his work to non-polynomial equations This is like a forester extending their work to non-forests. The person can learn to do other things, but those things aren't in any way an extension of forestry. > Exploration of Solvable Groups […] Linking Galois Theory with Other Areas This doesn't say anything. > Perhaps he would have applied his ideas to solving problems in physics, mechanics, or other emerging fields, where symmetry plays a crucial role. Still isn't saying anything, but if I pretend this has meaning: he was born about a century early for that. > he might have become a prominent teacher and mentor, influencing a new generation of mathematicians. He's far more likely to have been a political revolutionary. By the time of his death, academia had excluded him about as much as was possible. > Given more time, he would likely have polished and clarified his ideas, making them more accessible to other mathematicians of the time. Probably!