Allen Hatcher

Office: 553 Malott Hall

Book Projects:
Course Notes:
Other Things:

Book Projects

Algebraic Topology

Alg Top Book Info This book, published in 2002, is a beginning graduate-level textbook on algebraic topology from a fairly classical point of view. To find out more or to download it in electronic form, follow this link to the download page.

VBKT Info Page Vector Bundles and K-Theory

This unfinished book is intended to be a fairly short introduction to topological K-theory, starting with the necessary background material on vector bundles and including also basic material on characteristic classes. For further information or to download the part of the book that is written, go to the download page.

Spectral Sequences in Algebraic Topology

This was originally intended to be a sequel to the algebraic topology book giving a readable introduction to spectral sequences and their applications in algebraic topology. What is written so far is mostly about the Serre spectral sequence. My plan was to add considerably more, but a more realistic goal might be just to have this be an extra chapter of the algebraic topology book. In any case, for more details and to download what is written so far, go to the download page.

Topology of Numbers

This is intended to be an undergraduate textbook presenting a somewhat geometrically-flavored introduction to elementary number theory. See the download page for more information and to get a pdf file of the part of the book that has been written so far.

List of Published Papers

Slides of Talks:


Papers published since 1996:

Updates of older papers:

Unfinished drafts:

Unpublished papers:

Photos of Renwick Brook