30 citations · 125 across the 15 of their papers we have counts for
17 papers
Kashiwa Lectures on "New Approaches to the Monster"
John McKay, Yang-Hui He
These notes stem from lectures given by the first author (JM) at the 2008 "Moonshine Conference in Kashiwa" and contain a number of new perspectives and observations on Monstrous M…
Cusps, Congruence Groups and Monstrous Dessins
Valdo Tatitscheff, Yang-Hui He, John McKay
We study general properties of the dessins d'enfants associated with the Hecke congruence subgroups of the modular group . The definition of th…
Erland Samuel Bring's "Transformation of Algebraic Equations"
Alexander Chen, Yang-Hui He, John McKay
We translate Erland Samuel Bring's treatise Meletemata quaedam Mathematica circa Transformationem Aequationum Alebraicarum (Some selected mathematics on the Transformation of Algeb…
Homogeneous Lie Groups and Quantum Probability
Roland M. Friedrich, John McKay
Here we extend the algebro-geometric approach to free probability, started in~\cite{FMcK4,F14}, to general (non)-commutative probability theories. We show that any universal convol…
Sporadic and Exceptional
Yang-Hui He, John McKay
We study the web of correspondences linking the exceptional Lie algebras and the sporadic simple groups Monster, Baby and the largest Fischer group. This is done via th…
Almost Commutative Probability Theory
Roland M. Friedrich, John McKay
We solve two longstanding major problems in Free Probability. This is achieved by generalising the theory to one with values in arbitrary commutative algebras. We prove the existen…