The Tawn Family Website
mathematics (1227) braids (225) geometric group theory (3) knot theory (3) tawn (2) stephen tawn (1) braid group (1) mapping class group (1) garside groups (1) low-dimensional topology (1)
From 2011 to 2013 I was a Postdoctoral Research Fellow at the University of Western Sydney where my supervisor was Volker Gebhardt . I completed my Ph.D. at the University of Warwick in 2009 where my supervisor was Daan Krammer and my thesis was on plat closure of braids. I'm interested in the algebraic and computational properties of braid groups and related groups and using these properties to address problems in geometric group theory, knot theory and low-dimensional topology.
We present an improved orderly algorithm for constructing all unlabelled lattices up to a given size, that is, an algorithm that constructs the minimal element of each isomorphism class relative to some total order.
Our algorithm employs a stabiliser chain approach for cutting branches of the search space that cannot contain a minimal lattice; to make this work, we grow lattices by adding a new layer at a time, as opposed to adding one new element at a time, and we use a total order that is compatible with this modified strategy.
The Tawn Family Website