> * Address Mumford’s call for new mathematics for the 21st century. Develop methods that capture persistence in stochastic environments.
This is interesting, what did Mumford asked for, and what does persistence in stochastic systems stands for?
https://www.dam.brown.edu/people/mumford/beyond/papers/2000b...
Economics, for instance, has been stuck since Marshall[1] in Newton's method of fluxions/ Liebnitz calculus. (Well, their elaborations perhaps. And leavened with a little game theory. Probability and statistics have contributed nothing significant to the core theory.)
Economics has been crying out for a better mathematical foundation since the 1960s at least.
1. https://en.wikipedia.org/wiki/Principles_of_Economics_(Marsh...