Syllabus
- Instructor
-
Tyler Lawson
Vincent Hall 323
(612)625-6802
tlawson (at) math.umn.edu
Office Hours: MW 10:10 - 11:00, 12:20 - 1:10
- Objectives
-
This is the first half of a one-year course in modern
algebraic topology. This is a subject whose methods have
become widespread in mathematics, and has applications in
number theory, algebraic geometry, differential geometry,
K-theory, and many others.
The first semester covers homology and cohomology up at
least through Poincaré duality; further topics may depends
on student background, interest, and time.
- Prerequisites
-
The official prerequisite for this course is Math 8301, or
consent to take it without it. You need a good background
in point-set topology and algebra, and some basic
understanding of homology and the fundamental group. Our
point of view will lean towards the more algebraic end of
the spectrum.
- Exams
-
There will be none.
- Homework
-
There will be bi-weekly assigned problems sets, due
in-class on Mondays. The first homework is due
on Monday, September 14. The homework assignments
are listed on this page.
Students must make arrangements in advance if they will
not be handing in homework on time.
We encourage you to discuss homework problems with your
classmates, including strategies for solving different
kinds of problems. However, when you actually write up
your solutions, you must do this on your own.
- Online resources
-
Homework grades, as well as forums for the course, will be
available online through the course's Moodle
site.
- Textbooks
-
Textbook information can be
found on the course webpage.
- University policies
-
The student conduct code and statements on many other
aspects of University policy can be found through
this page.