MTH 961: Algebraic Topology II

Info Lecture Notes Homework Contact

Course Information:

Instructor: Dr. Gabe Angelini-Knoll (personal webpage)

Room: C517 Wells Hall

Time: Tuesday and Thursday 10:20-11:10 am

Office Hours: TBD

Syllabus: MTH 961: Algebraic Topology II Syllabus

Lecture Notes:

Lecture 1

Lecture 2

Lecture 3

Lecture 4

Lecture 5

Lecture 6

Lecture 7

Lecture 8

Lecture 9

Lecture 10

Lecture 11

Lecture 12

Lecture 13

Lecture 14

Lecture 15

Lecture 16

Lecture 17

Lecture 18

Lecture 19

Lecture 20

Lecture 21

Lecture 22

Lecture 23

Homework:

Date Due PDF TEX
1/17/19 Homework 1 (pdf) Homework 1 (tex)
2/5/19 Homework 2 (pdf) Homework 2 (tex)
2/19/19 Homework 3 (pdf) Homework 3 (tex)
3/12/19 Homework 4 (pdf) Homework 4 (tex)
4/2/19 Homework 5 (pdf) Homework 5 (tex)
Homework 6 (pdf) Homework 6 (tex)

Final Presentations

To conclude the course, each registered student will present on a topic related to algebraic topology:
Date Name Topic
4/23/19 David Storey Morse Theory (used in Bott's original proof of Bott periodicity)
4/25/19 Joseph Melby The Kervaire invariant
4/25/19 Tim Szocinski Simple homotopy and the Whitehead group
5/3/19 Yan Shengkuan Algebraic K-theory of a category of vector bundles and topological K-theory
5/3/19 Colin Cheng The Grothendieck group and Wall's finiteness obstruction