The Poet Who Found Geometry Hidden Inside Combinatorics

June Huh reshaped combinatorics by showing that discrete counting sequences obey geometric principles associated with Hodge theory. Born in the United States and raised in South Korea, he entered Seoul National University intending to study physics and later discovered mathematics through Heisuke Hironaka. After earning his doctorate at Michigan, Huh proved major conjectures concerning graphs, matroids and log-concavity. This documentary follows the unconventional path that led to the 2022 Fields Medal.

Combinatorics studies finite objects such as graphs and arrangements, while algebraic geometry studies continuous shapes defined by equations. Huh's great insight was that the second subject could reveal hidden inequalities and structures inside the first. His late start and earlier dream of becoming a poet make the breakthroughs especially compelling. This documentary shows how new connections can overturn assumptions about talent, solve conjectures and create an entirely new direction in mathematics.