Instructor: 
Prof. J Hyam Rubinstein 
Room/time: 
Room 593 Kerr, Tues/Thur 1112.30 Room 693 Kerr, Wed 23 for the more advanced topics, which will be
optional. 
Syllabus: 
There will be two parts of the course; 1) A discussion of the basic results of classical 3manifold theory,
Heegaard splittings and connected sums,. Dehn's lemma and the loop theorem,
Waldhausen's theory of Haken manifolds and JSJ theory of characteristic
varieties, all from the viewpoint of normal surfaces and very short
hierarchies. The aim is to get to a direct proof of word hyperbolicity of the
fundamental groups of irreducible atoroidal 3manifolds. 2) (Optional) Sweepouts and almost normal surfaces. Here we will
discuss generalized sweepouts and how these can be used for minimax
arguments. Polyhedral geometry of 3manifolds, including cubings of nonpositive
curvature and an introduction to higher dimensional cubical resolutions of
3manifolds 
Assessment This will be by assignments,
every two weeks.
Handouts

These will be
chapters of the CBMS lecture notes book in preparation ( due for completion
July 2005) 