The Mathematician Who Connected Geometry to Equations

Michael Atiyah changed modern mathematics by building unexpected bridges between topology, geometry, analysis and physics. His work with Friedrich Hirzebruch created topological K-theory, while the Atiyah-Singer index theorem linked the solutions of differential equations to global geometric structure. This documentary follows his path from Cairo and Manchester to Cambridge, Oxford and Edinburgh, explaining why the Fields Medal, Abel Prize and leadership of major scientific institutions recognized a mathematician.

The Atiyah-Singer index theorem is one of the great unifying results of twentieth-century mathematics, with consequences in geometry, topology, quantum theory and particle physics. Atiyah's later work helped connect gauge theory and theoretical physics to new mathematical invariants. He was also an influential teacher and scientific leader, serving as president of both the Royal Society and the Royal Society of Edinburgh. This documentary shows how seeking connections can reshape several fields at once.