Lectures: MWF 9:10 am - 10:00am, Hayes-Healey 129. You may attend lectures either remotely or in person. I will send out an email with the lecture zoom link. If you can't find it send me an email.
Office hours: Thursdays 4pm-6pm. Office hours will be over zoom. I will send out the zoom link.
Syllabus: We will loosely follow do Carmo's book. We will cover material up through chapter 10, and maybe beyond if we have time/inclination. We will cover: Riemannian metrics, connections, geodesics, curvature, submanifolds, Gauss-Bonnet theroem, Jacobi fields, curvature comparison theorems. My lecture notes, which will be updated as we go, are available here.
Book: do Carmo, ``Riemannian geometry.'' Another good reference is Lee's book ``Introduction to Riemannian manifolds.''
Grade: There will be one take-home midterm, and one final. Your grade will be weighted by: 50% homework, 25% midterm, 25% final.
Midterm: The midterm will take place the week of March 22. I haven't decided exactly how it will work yet, but you won't have homework for that week.
Homework: There will be regularity (~weekly) homework assignments, typically due the Friday after it is handed out. I will post the homeworks and solutions here as they appear.