MATH 212Differential Geometry
Principal bundles, associated bundles and vector bundles, connections and curvature on principal and vector bundles. More advanced topics include: introduction to cohomology, the Chern-Weil construction and characteristic classes, the Gauss-Bonnet theorem or Hodge theory, eigenvalue estimates for Beltrami Laplacian, and comparison theorems in Riemannian geometry.
Prerequisite(s): MATH 208. Enrollment is restricted to graduate students.
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When it runs
Winter 2026Open Winter 2026
| Section | Type | When | Where | Instructor | Seats |
|---|---|---|---|---|---|
| 01 | Lecture | Mon Wed 1:30pm–3:05pm | McHenry Clrm 1270 | J. Pan | Open 9/20 |
Who teaches it
| Instructor | Rating | Difficulty | Would take again | Reviews |
|---|---|---|---|---|
| Jiayin Pan | 1.8 / 5 | 4.3 / 5 | 22% | 40 |
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