Allen Hatcher

Professor Emeritus

Research Focus

Geometric topology

A common thread through much of my research is the idea of studying the space of all topological objects of a certain kind, for example, the space of all finite polyhedra, the space of all diffeomorphisms of a manifold, or the space of all knots. Recently I have also been writing a couple of graduate-level textbooks in topology.


  • Higher simple homotopy theory, Annals of Math. 102 (1975), 101–137.
  • A proof of the Smale conjecture, Annals of Math. 117 (1983), 553–607.
  • Algebraic Topology, Cambridge University Press, 2002. (This book is also available online at