Instructor
Prof. Marco Varisco,
mvarisco@albany.edu,
www.albany.edu/~mv312143/
Office: ES120C,
Office Hours: TTh 11:35–12:30, or by appointment.
Schedule
TTh 10:15–11:35 in ES142.
Prerequisites
AMAT 540 A & B, or permission of instructor.
Description
The following topics will be covered, with many examples and applications throughout: singular cohomology groups, universal coefficient theorem, cup product, cohomology ring, Künneth theorem, Poicaré duality, de Rham theorem, relation to (stable) homotopy theory, cohomology operations, other cohomology theories.
Textbooks
None—but the following books, which are freely available online and can be purchased for less than $30 each, 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
Weekly homework assignments.
Late submissions will not be accepted. Regular attendance is expected, and excessive tardiness may count as absence. We refer to the Graduate Bulletin for the policies on incomplete grades. Of course, students must follow the University’s Standards of Academic Integrity.