No you are conflating two topics. Property rights is not propping up stocks and bonds. It's protecting ownership so you can invest in building things over the long term without them being taken.
Similar reasons encourage the government to protect the value of their currency.
> the point of fiat is to be an easy medium of exchange
The stated goal of the federal reserve is price stability, not exchange.
> Hoarding paper or shiny objects is still speculation with risk
Yep but it's a difference of how much risk.
> having strong social safety nets
Those carry their own kinds of risk.
> I shouldn't be incentivized to hold dollars.
0% is hardly a massive incentive to hold cash. If we can't agree on that then ill be incentivized to hold a currency that does care about its value.
Of course there is always risk. But one of the supposed goals of fiat money and property rights is to reduce that risk, ensuring the ability to save into the future.
There are countless examples of countries where that trust was broken.
Almost the entire document is undergrad numerical topics (finite difference methods, maximum likelihood, Jacobins, hessians, newtons method, etc). This is all well covered material that is soundly not research.
Differentiable programming is hardly a "subfield" it can be explained in a paragraph if you know calculus well. If there is any subfield, it's in researching specific compiler optimizations.