Title: Towards non commutative algebraic topology Author: Ronald Brown AMS Classification numbers: 55D15, 55U40, 18D35 Address of Author: Mathematics Division, School of Informatics, University of Wales, Bangor, Gwynedd LL57 1UT, UK. Email address of Author: r.brown@bangor.ac.uk Text of Abstract: These are the transparencies (slightly edited) for a seminar at University College, London, on May 7, 2003. They give a quick overview of some background and some directions taken for algebraic methods for higher dimensional, non commutative, local to global problems, including some algebraic models of homotopy types.