The Mathematician Who Found Arithmetic Inside Chaos

Peter Sarnak transformed analytic number theory by uncovering connections among zeta functions, automorphic forms, spectral geometry, expander graphs and quantum chaos. Born in Johannesburg in 1953, he studied at the University of the Witwatersrand and earned his Stanford doctorate under Paul Cohen in 1980. After appointments at Stanford, Princeton and NYU, he joined the Institute for Advanced Study faculty in 2007. This documentary follows the ideas recognized by the Wolf and Shaw prizes. an en

Sarnak's research shows that prime numbers, vibrating surfaces, network expansion and quantum systems can share the same hidden mathematics. His work on Ramanujan graphs influenced computer science, while his study of automorphic forms and spectral behavior reshaped number theory and mathematical physics. Few careers demonstrate such breadth without losing depth. This documentary explains how arithmetic can appear inside geometry, computation and apparently chaotic physical motion. an enduring i