Math 230a: Differential Geometry

Monday, Wednesday, Friday, 1-2pm, Science Center 507

Course website:


Tristan Collins
Email: tcollins at math dot harvard dot edu
Office: Science Center 239


The Syllabus for the course is available here .

Course References


This is approximate.

Date Material Problems/Handouts
Aug. 31-Sept. 2 Smooth Manifolds: References: (T)-Chapter 1, (L1)-Chapter 1
Homework 1
Sept.7-9 Tangent Vectors, The Lie Bracket, Lie Groups: Homework 2
Sept. 12-16 Lie Groups and Vector Bundles: Homework 3
Sept.19-30 Vector bundles: (T) Chapter 4, 5 Homework 4
Oct. 3-7 Vector bundles, Metrics, Structure Groups Homework 5
Oct. 12-14 Geodesics The geodesic equation, and geodesics in matrix groups Homework 6
Oct.17-21 Geodesics Gauss Lemma, Completeness Homework 7
Oct. 24-28 Connections on Vector Bundles (T) Ch. 11 and Ch. 12 Homework 8
Oct. 31 -- Nov. 11 Curvature and Characteristic Classes (T) Ch. 12, Ch. 14 Homework 9