Computer code for the Algebraic Collective Model.
SO(5)⊃SO(3) Clebsch-Gordon coefficients and Spherical Harmonics.
A quartet of fermionic expressions for M(k,2k±1) Virasoro characters via half-lattice paths [Blondeau-Fournier/Mathieu/Welsh] (arXiv)
Cylindric partitions, Wr characters and the Andrews-Gordon-Bressoud identities [Foda/Welsh] (arXiv)
A computer code for calculations in the algebraic collective model of the atomic nucleus [Welsh/Rowe] (arXiv)
Half-lattice paths and Virasoro characters [Blondeau-Fournier/Mathieu/Welsh] (arXiv)
Symmetric group characters and generating functions for Kronecker and reduced Kronecker coefficients [King/Welsh] (slides)
A bijection between paths for the M(p,2p+1) minimal model Virasoro characters [Blondeau-Fournier/Mathieu/Welsh] (arXiv)
The Bohr Model as an algebraic collective model [Rowe/Welsh/Caprio] (APS synopsis)
Construction of SO(5) ⊃ SO(3) spherical harmonics and Clebsch-Gordan coefficients [Caprio/Rowe/Welsh] (arXiv)
Whenever people agree with me I always feel I must be wrong. [Oscar Wilde]
The mathematician's patterns, like the painter's or the poet's must be beautiful; the ideas, like the colours or the words must fit together in a harmonious way. Beauty is the first test: there is no permanent place in this world for ugly mathematics. [Godfrey H. Hardy]
There's no sense in being precise when you don't even know what you're talking about. [John von Neumann]
Just because I'm paranoid doesn't mean they're NOT out to get me.
You'd be paranoid too, if people talked about you behind your back. [JMW]