The Mathematician Who Found Symmetry Inside Randomness

Stanislav Smirnov solved central problems in probability and statistical physics by proving conformal invariance in critical lattice models. Born in Leningrad in 1970, he studied mathematics at Saint Petersburg State University before earning his doctorate at Caltech in 1996 under Nikolai Makarov. After positions at Yale, the Institute for Advanced Study and the Royal Institute of Technology, he joined the University of Geneva. This documentary follows the breakthroughs recognized by the 2010 Fields Medal.

At a phase transition, a random system sits precisely between order and disorder, producing patterns that appear chaotic at every scale. Smirnov proved that some of these patterns obey exact conformal symmetry, allowing ideas from complex analysis to solve probabilistic questions. His work gave rigorous foundations to predictions from theoretical physics and opened new paths through percolation and the Ising model. This documentary reveals the remarkable geometry hidden inside randomness. an end