Thanks for the nice post. I wholeheartedly agree with you, although I’d prefer to drop the term *old* in «grumpy old man».

When I joined the Department of Applied Mathematics more than 20 years ago, the main area of research was what I would call analysis, the second one was PDE (existence and uniqueness theorems). Now 20 years later, the group of analysis has retired, the PDE group has shrunk and a large amount of research is more applied than mathematics. All sorts of computer-assisted results are presented, in most of these cases, even the numerics is not very sophisticated.

However, there is an area in which a computer might be handy, and that has fascinated me since I started with mathematics: computer-assisted proofs, either for proof checking or even for proof generating.

There are a couple of these projects, most if not all concentrate on what one could call «finite» mathematics (that is not analysis).

The most spectacular result has been the successful check of a proof provided by Peter Scholze

https://www.quantamagazine.org/lean-computer-program-confirms-peter-scholze-proof-20210728/

As far as I understood it, providing something similar for analysis is still a long way to go.

Uwe Brauer

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