Differential Geometry II, Spring 2026

Weekly Schedule of Lectures

Last updated Wed Dec 3 05:28 EST 2026

This page is here for the sole reason of meeting a syllabus-requirement that I find counterproductive for this class.

I teach MTG 6256-6257 a little differently each time. The pace and the exact choice of topics are functions of many variables that are unknown before the semester begins, including the overall level of the particular group of students enrolled that year. It would be a waste of time to attempt to write a detailed weekly schedule of lectures, long before the semester begins, that I would try to adhere to.

However, regardless of my opinion on this point, a weekly schedule of lectures is (as of a few years ago) a required component of all UF syllabi, so below is my attempt to meet that requirement before the syllabus-posting deadline. I expect that the actual lectures will deviate significantly from this very rough, very early estimate.

week of semester	dates	book sections
Week 1	M 1/12 – F 1/16	Bump-functions and applications
Weeks 2–5	W 1/21 – F 2/13	de Rham complex; Stokes's Theorem; de Rham cohomology
Weeks 6–7	M 2/15 – F 2/27	Introduction to Riemannian geometry, part 1
Weeks 8–9	M 3/2 – F 3/13	Vector bundles, connections, and curvature
Weeks 10–12	M 3/23 – F 4/10	Introduction to Riemannian geometry, part 2
Weeks 13–14	M 4/13 – W 4/22	TBD

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