Nobel Prize in mathematics

These results are wild. Several individual findings are crazy good and use mostly unexplored methods (the improvement over Riemann for example)... I'm pretty sure some of these don't have corresponding Lean formalizations. Cool! Good to see they're engaging with the mathematical community, even if they were in some way an improvement over what is out there. Maybe focus on a fresh pre-train and some sandboxing improvements. Let's hypothetically say I'm a PHD student who is half way through my studies and I have a strange feeling these discussion sites are only there to further alienate people from each other. A lot of companies exists as of today cause a lot of people used that to claim that these models are not really smart/creative etc. That copium didn't last for what, three months?

Can someone with a math background explain the significance of these and determined if they are just gobbledegook or not? The ones with lean proofs could still be formulated incorrectly.