Wikinventia — Atlas of discoveries and inventions · Global Age

Proof of the "monstrous moonshine" conjecture — Richard Borcherds

1992 AD · Transmission: Global
MathematicsTheoryBritish

Richard Borcherds proves in 1992, in Inventiones Mathematicae, the "monstrous moonshine" conjecture formulated by John Conway and Simon Norton in 1979, which predicts a deep and seemingly inexplicable relationship between the Monster group — the largest of the sporadic finite simple groups — and the modular j-function, a central object in number theory. Borcherds uses in his proof the formalism of vertex algebras, a tool originating in string theory in theoretical physics, thus establishing an unexpected bridge between finite group theory, number theory, and mathematical physics. Borcherds received the Fields Medal in 1998.

InstitutionUniversity of Cambridge
Historical regionUnited Kingdom
Primary sourceBorcherds, R. E. — "Monstrous moonshine and monstrous Lie superalgebras" (Inventiones Mathematicae, 109, 1992)
Secondary sourceInternational Mathematical Union — Fields Medal citation 1998
Original languageEnglish
View this entry in the interactive atlas → View in graph →