The Mathematician Who Classified the Atoms of Symmetry

John G. Thompson revolutionized finite group theory by developing methods that made the classification of finite simple groups possible. His doctoral thesis solved a problem of Frobenius that had resisted mathematicians for decades. With Walter Feit, he then proved the odd order theorem, showing that every finite group of odd order is solvable. This documentary follows Thompson from Yale and Chicago to Cambridge and Florida, explaining the work that earned the Fields Medal, Wolf Prize and 2008 Abel Prize.

Finite simple groups are the basic building blocks from which all finite symmetry groups are assembled. Thompson's theorems revealed their structure and supplied decisive tools for the enormous classification project completed by later mathematicians. The odd order proof was hundreds of pages long and changed expectations about what a mathematical argument could accomplish. This documentary turns abstract group theory into a story of intellectual endurance, showing how one researcher reshaped an entire field.