Allen Hatcher

Office: 553 Malott Hall

Phone: (607)-255-4091

Current Course, Spring 2015: Math 6510 - Algebraic Topology

Book Projects:
Course Notes:
Other Things:

Book Projects

Algebraic Topology

Alg Top Book Info This is the first in a planned series of three textbooks in algebraic topology having the goal of covering all the basics while remaining readable by newcomers seeing the subject for the first time. The first book contains the basic core material along with a number of optional topics of a relatively elementary nature. The second and third books are only partially written --- see below. To find out more about the first book or to download it in electronic form, follow this link to the download page.

VBKT Info Page Vector Bundles and K-Theory

The intention is for this to be a fairly short book focusing on topological K-theory and containing also the necessary background material on vector bundles and characteristic classes. For further information, and to download the part of the book that is written, go to the download page.

Spectral Sequences in Algebraic Topology

This idea is for this to be a readable introduction to spectral sequences, with emphasis on their applications to algebraic topology. What is written so far is mostly about the Serre spectral sequence. For more details and to download what is written so far, go to the download page. Update: My current plan is to make this an extra chapter of the algebraic topology book when I make a second edition of that book, rather than have it be a separate book.

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Unpublished papers: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