Universes as big data

In this paper, we briefly overview how, historically, string theory led theoretical physics first to precise problems in algebraic and differential geometry, thence computational geometry the last decade or so, now, few years, data science. Using Calabi–Yau landscape — accumulated by collaboration of physicists, mathematicians computer scientists over four decades as a starting-point concrete playground, review some recent progress machine-learning applied sifting through possible universes from compactification, well wider geometrical engineering quantum field theories. parallel, discuss program mathematical structures address tantalizing question how it helps doing mathematics, ranging physics, representation theory, combinatorics number theory.