No major mathematical advance has ever been initiated past age fifty.

Evidence

Galois died at twenty-one, Abel at twenty-seven, Ramanujan at thirty-three, Riemann at forty. … I do not know an instance of a major mathematical advance initiated by a man past fifty. — G. H. Hardy, A Mathematician’s Apology, 143

Categorization

• QUESTION: Worth checking: are there counterexamples Hardy overlooked, e.g., work by Weyl, Cartan, or others past fifty?
• corroborated: 2 independent passages support this claim — G. H. Hardy, A Mathematician’s Apology, 143