## Instructor

Prof. Marco Varisco,
mvarisco@albany.edu,
www.albany.edu/~mv312143/

Office: ES-120C,
Office Hours: M 2:45–5:35, W 2:45–4:05, or by appointment.

## Schedule

MWF 1:40–2:35 in ES-146.

## Prerequisites

AMAT 540 A & B.

## Description

The topic of the course will be classical homotopy theory, presented from a modern point of view: homotopy groups of spaces, their fundamental properties, the long exact sequence of a fibration, the theorems of Whitehead and Hurewicz, Blakers-Massey homotopy excision theorem and its applications (in particular Freudenthal suspension theorem), the relation with (co)homology theories, and a glimpse of stable homotopy theory.

## Textbooks

None, but the following books, which are freely available online, are both excellent references:

- Allen Hatcher,
*Algebraic Topology*, Cambridge University Press, 2002.

math.cornell.edu/~hatcher/AT/ATpage.html -
J. Peter May,
*A Concise Course in Algebraic Topology*, The University of Chicago Press, 1999.

math.uchicago.edu/~may/BOOKSMaster.html

## Grading

Biweekly homework assignments.