Fall 2022: Math 232B Graduate Geometry 

This course will focus on the basics of  Lie groups, Riemannian geometry and, time permitting, hyperbolic geometry 

Note: 232 A is not a prerequisite for this class. 232B will have some overlap with  what I taught 232A but not much and from a slightly different perspective.

Monday, Wednesday in 268 Skye Hall  at 2-3:20 (September 26 -- November 30)

Office hours: By appointment in person or on Zoom, or just stop by my office (232 Skye Hall) and we can chat if I'm free..

Prerequisites:  205 B&C (or a good knowledge of the basics of manifolds and the fundamental group),  a strong foundation in linear algebra will also be extremely helpful.

Main text: There is not a main text for this class, but some useful texts are listed below. 

1. Lectures on Lie groups by Adams.

2. Riemannian  geometry and geometric analysis by Jost.

3. Riemannian geometry by de Carmo.

4.  Introduction to smooth manifolds by Lee

5. The geometry of differential forms by Morita

Lecture notes: (Disclaimer: these lecture notes are probably full of errors)

• 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