Advanced Algebraic Topology, Spring 2017

Course Information

Our goal in this class is to give an introduction to the homotopy theory of spaces, considered broadly. Topics will include co/fibrations, CW complexes and their topological properties, Freudenthal's suspension theorem, stable homotopy theory and spectra, extraordinary cohomology theories, and spectral sequences, as well as a smattering of broader applications.

There will be three forms of graded work:

  • (1/3 of total) Weekly-ish homeworks.
  • (1/3 of total) A midterm paper.
  • (1/3 of total) A term paper.

Our general policy about late work is strict: we will not permit assignments to be handed in late without some written mandate from a doctor or the university administration.

Our meeting times for lecture, for office hours, and with the CAs have all been posted below. I will be updating this webpage throughout the semester.

Contact information

Schedule, Dates and Times

I have listed below some events (along with dates and times) relevant to the course. In addition to the office hours listed, I am also available by email and by appointment; I have a calendar at this address to facilitate setting up meetings.

Regular class times

Office hours

Important dates

Homework

Assignments are to be submitted through the course's associted Canvas website.

Due April 26th: problem sheet
Due April 12th: problem sheet
Due March 22nd: problem sheet
Due March 1st: problem sheet
Due February 15th: problem sheet

Course Materials

This is a work in progress.