You need to schedule visits to office hours using the links below. I STRONGLY encourage you to talk with me about course material!
- MA 397 Remote Office Hours. (Potentially with other students)
- Remote Individual Meetings
- In-person meetings in Davis 207.
- The syllabus
- Lecture 2: Introduction to the Course
- Lecture 3: In the beginning were knots
- Lecture 4: Knots and Determinants
Lecture Notes - Lecture Notes on the Alexander polynomial and Burau representation
- Lecture 5a: Groups from the GT POV part 1
Lecture Notes - Lecture 5b: Groups from the GT POV part 2
Lecture Notes - Lecture 6: Homomorphisms
Lecture Notes - Lecture 7a: Coloring by Groups
Lecture Notes - Lecture 7b: Combinatorial Knot Group
Lecture Notes - Alexander Polynomial and Burau representation
- Alternating Knots and the Jones polynomial
- Rational Tangle Examples
- Conway's Theorem
- Stick Number and Bridge Number
The next videos all assume you are following along in these typed lecture notes . You can see the handwritten notes that show up in the videos here. - Lecture 8: Open sets in Metric spaces
- Lecture 9: Continuity
- Lecture 10: Homeomorphisms
- Lecture 11: Homotopy, Isotopy, and Knot Equivalence
- Lecture 12: Fundamental Group Part 1
- Lecture 13: Fundamental Group Part 2
- Lecture 14: Fundamental Group Part 3 (Fundamental Group of the circle is isomorphic to the integers.)
- Lecture 15a: Path Metrics
- Lecture 15b: Hyperbolic path metric
- Lecture 16: Gluing Metric Spaces
- Midterm Exam
- Final Exam