To appear in the Pacific J Math Orderings of mapping class groups after Thurston by Hamish Short and Bert Wiest. First we describe a simple and natural method, due to Thurston, of ordering mapping class groups. Then we give a complete classification of orderings arising from Thurston's construction. Seminar notes on Dehornoy's algorithm. Dehornoy has discovered a new algorithm for the word problem in braid groups.
Computer experiments suggest that it is extremely efficient, but so far nobody can prove it.
The singular cubical set of a topological space - joint with Rosa Antolini . Appeared in revised form in the Math. Most of this chapter is joint work with Michael T. Greene. To appear in the Quarterly J Math. Not So Great Internet Burau 4 Search .