36 citations · 73 across the 20 of their papers we have counts for
22 papers
Revealing the hidden beauty of finite groups with Cayley graphs
Matthew Macauley
Group theory involves the study of symmetry, and its inherent beauty gives it the potential to be one of the most accessible and enjoyable areas of mathematics, for students and no…
Torsors and tilings from toric toggling
Colin Defant, Michael Joseph, Matthew Macauley +1
Much of dynamical algebraic combinatorics focuses on global dynamical systems defined via maps that are compositions of local toggle operators. The second author and Roby studied s…
Boolean models of the transport, synthesis, and metabolism of tryptophan in Escherichia Coli
Isadora Deal, Matthew Macauley, Robin Davies
The tryptophan (trp) operon in E. coli codes for the proteins responsible for the synthesis of the amino acid tryptophan from chorismic acid, and has been one of the most well-stud…
The case for algebraic biology: from research to education
Matthew Macauley, Nora Youngs
Though it goes without saying that linear algebra is fundamental to mathematical biology, polynomial algebra is less visible. In this article, we will give a brief tour of four div…
Toric heaps, cyclic reducibility, and conjugacy in Coxeter groups
Shih-Wei Chao, Matthew Macauley
As a visualization of Cartier and Foata's "partially commutative monoid" theory, G.X. Viennot introduced "heaps of pieces" in 1986. These are essentially labeled posets satisfying…
Synchrony in a Boolean network model of the L-arabinose operon in Escherichia coli
Andy Jenkins, Matthew Macauley
The lactose operon in Escherichia coli was the first known gene regulatory network, and it is frequently used as a prototype for new modeling paradigms. Historically, many of these…