The Mathematician Who Made Singular Equations Solvable

Martin Hairer transformed stochastic analysis by inventing the theory of regularity structures, a new framework for interpreting singular stochastic partial differential equations. These equations describe systems influenced by extreme randomness but often contain products that classical mathematics cannot define. This documentary follows Hairer from his doctorate in Geneva through Warwick, Imperial College London and EPFL, explaining how his theory solved longstanding problems in probability and mathematical physics.

Randomness appears in turbulence, interfaces, materials, finance and countless evolving systems, but the equations describing it can become mathematically ill-defined. Hairer's regularity structures supplied a systematic language for such singular models, opening a major new research field. His story demonstrates what mathematical invention looks like at the highest level: not merely solving one equation, but building machinery that solves whole families of them. This documentary turns a difficult modern breakthrough.