Comment by freehorse
1 day ago
The funding on mathematics is already one of the lowest accross science [0, 1], and theoretical math funding is probably much smaller than the applied math one already, so that's not even close to how much funding theoretical math gets.
So, we are talking about a field that already does not use that much funding anyway, and most high end theoretical mathematicians probably would make much more money in the industry anyway, so this seems like missing the forest for the tree imo.
[0] Table in page 1 in https://nsf-gov-resources.nsf.gov/files/71_fy2025.pdf?Versio...
[1] Figure DISC-13 in https://ncses.nsf.gov/pubs/nsb20257/academic-r-d
There's an old joke about funding, goes something like:
"Why you are always demanding more funding? Why can't you be more like the mathematicians, all they need is a desk, some paper, and a pencil, and a garbage can, and they just do fine. Or how about philosophy, for that matter? They don't even need the garbage can"
I mean, obviously with modern computational mathematics, this doesn't hold so simply, but there is this confound about math research also not getting much funding also because much of it isn't that expensive, relatively speaking.
Last I knew, at least in America, universities that want their math prof's to do research also expect those prof's to bring in plenty of outside funding. You could argue about the costs of that desk, paper, pencil, and such - but modern "research" universities have evolved into extremely high-overhead operations, and The Beast Must Be Fed.
> so this seems like missing the forest for the tree imo.
But is it? Again, regardless of the amount, what is the utility?
What's the end goal of academia (assuming broadly as research with humans) when the answers to the deepest questions become commodities at orders of magnitude higher speed and lower cost?
How are federal grants justified and, forgetting the current hierarchy, how is differentiation made? It's currently based on research output, once that becomes irrelevant what is it? We already have IMO, IOI as competitions and I assume just like Olympics this can be a thing, but it's very remote from research.
Take for example Rene Thom after Alexander Grothendieck overshadowed an entire field
> His technical superiority was crushing. His seminar attracted the whole of Parisian mathematics, whereas I had nothing new to offer. That made me leave the strictly mathematical world and tackle more general notions, like the theory of morphogenesis, a subject which interested me more and led me towards a very general form of 'philosophical' biology.
https://mathshistory.st-andrews.ac.uk/Biographies/Thom/
Now amplify this a few orders of magnitude.