34 citations · 110 across the 21 of their papers we have counts for
21 papers
A non-constructive proof of the Four Colour Theorem
D. M. Jackson, L. B. Richmond
The approach is through a singularity analysis of generating functions for 3- and 4-connected triangulations, asymptotic analysis, properties of the hypergeometric seri…
Towards a more algebraic footing for quantum field theory
David M. Jackson, Achim Kempf, Alejandro H. Morales
The predictions of the standard model of particle physics are highly successful in spite of the fact that several parts of the underlying quantum field theoretical framework are an…
A robust generalization of the Legendre transform for QFT
David M. Jackson, Achim Kempf, Alejandro H. Morales
Although perturbative quantum field theory is highly successful, it possesses a number of well-known analytic problems, from ultraviolet and infrared divergencies to the divergence…
Combinatorial aspects of the quantized universal enveloping algebra of
Raymond Cheng, David M. Jackson, Geoffrey Stanley
Quasi-triangular Hopf algebras were introduced by Drinfel'd in his construction of solutions to the Yang--Baxter Equation. This algebra is built upon $\mathcal{U}_h(\mathfrak{sl}_2…
How to (Path-) Integrate by Differentiating
Achim Kempf, David M. Jackson, Alejandro H. Morales
Recently, it was found that a new set of simple techniques allow one to conveniently express ordinary integrals through differentiation. These techniques add to the general toolbox…
Transitive factorizations of permutations and geometry
I. P. Goulden, D. M. Jackson
We give an account of our work on transitive factorizations of permutations. The work has had impact upon other areas of mathematics such as the enumeration of graph embeddings, ra…