In mathematics, monstrous moonshine, or moonshine theory, is the unexpected connection between the monster group M and modular functions, in particular...

further developed by John Horton Conway and Simon Norton who called it monstrous moonshine because it seemed so far fetched. In 1992, Richard Borcherds constructed...

baby monster. Conway and Norton suggested in their 1979 paper that monstrous moonshine is not limited to the monster, but that similar phenomena may be...

a subgroup. Conway and Norton suggested in their 1979 paper that monstrous moonshine is not limited to the monster, but that similar phenomena may be...

Conway and Norton formulated the complex of conjectures known as monstrous moonshine. This subject, named by Conway, relates the monster group with elliptic...

H. Conway and Simon P. Norton suggested in their 1979 paper that monstrous moonshine is not limited to the monster, but that similar phenomena may be...

similar to the situation with monstrous moonshine during the 1980s: Atkin, Fong, and Smith showed by computation that a moonshine module exists in 1980, but...

Leech Lattice. Conway and Norton suggested in their 1979 paper that monstrous moonshine is not limited to the monster. Larissa Queen and others subsequently...

both trivial. Conway and Norton suggested in their 1979 paper that monstrous moonshine is not limited to the monster, but that similar phenomena may be...

James Lepowsky, and Arne Meurman. R. Borcherds used it to prove the monstrous moonshine conjectures, by applying the Goddard–Thorn theorem of string theory...

awarded the Fields Medal in 1998. He is well known for his proof of monstrous moonshine using ideas from string theory. Borcherds was born in Cape Town,...

transpositions. Conway and Norton suggested in their 1979 paper that monstrous moonshine is not limited to the monster, but that similar phenomena may be...

divisors. This strange coincidence was the beginning of the theory of monstrous moonshine. All supersingular primes are Chen primes, but 37, 53, and 67 are...

Mertens, and Ken Ono proved theorems that establish an analogue of monstrous moonshine for the O'Nan group. Their results "reveal a role for the O'Nan pariah...

curve. The monster group is one of two principal constituents in the monstrous moonshine conjecture by Conway and Norton, which relates discrete and non-discrete...

are shown. Conway and Norton suggested in their 1979 paper that monstrous moonshine is not limited to the monster. Larissa Queen and others subsequently...

function and the modular discriminant, which connection is deepened by Monstrous moonshine, a development that related modular functions to the Monster group...

Higman's geometry. Conway and Norton suggested in their 1979 paper that monstrous moonshine is not limited to the monster group, but that similar phenomena may...

symmetries of the Monster group (this connection is referred to as monstrous moonshine). The j-invariant can be defined as a function on the upper half-plane...

3 elements. Conway and Norton suggested in their 1979 paper that monstrous moonshine is not limited to the monster, but that similar phenomena may be...

3 elements. Conway and Norton suggested in their 1979 paper that monstrous moonshine is not limited to the monster, but that similar phenomena may be...

monster group. Conway and Norton suggested in their 1979 paper that monstrous moonshine is not limited to the monster, but that similar phenomena may be...

Monster group and the j-function in number theory. They dubbed this "monstrous moonshine", and made some conjectures later proved by Richard Borcherds. Norton...

2-2-3 triangles that share the fixed type 3 side. In analogy to monstrous moonshine for the monster M, for Co3, the relevant McKay-Thompson series is...

Landscape Mathematics Geometric Langlands correspondence Mirror symmetry Monstrous moonshine Vertex algebra K-theory Related concepts Theory of everything Conformal...

proof of the monstrous moonshine conjecture, where the unitarizable Virasoro representation is the monster vertex algebra (also called "moonshine module")...

algebra acted on by the monster group, which was used to prove the monstrous moonshine conjectures. The monster Lie algebra is a Z2-graded Lie algebra....

algebras have proven useful in purely mathematical contexts such as monstrous moonshine and the geometric Langlands correspondence. The related notion of...

ISBN 3-540-15295-4, Zbl 0575.33001 Conway, John Horton; Norton, Simon (1979), "Monstrous moonshine", Bulletin of the London Mathematical Society, 11 (3): 308–339, doi:10...

Macfarlane publishes Howard Florey: The Making of a Great Scientist. 'Monstrous moonshine': John Conway and Simon P. Norton prove there is a connection between...