Topics include geometry of surfaces, manifolds, differential forms, Lie groups, Riemannian manifolds, Levi-Civita connection and curvature, curvature and topology, Hodge theory. Additional topics such as bundles and characteristic classes, spin structures, and Dirac operator, comparison theorems in Riemannian geometry.
4
UnitsOptional
Grading1, 2, 3
PasstimeNone
Level LimitLetters and science
CollegeThis was the worst class I have taken at UCSB so far. The class was moved online in the first week of the quarter, the lecture content made no sense and the tests were extremely hard. The professor did not show up to any of the tests, including the final and made the final online in person, meaning half of the class cheated and he allowed it.
If you cant avoid him, PLEASE calculate your final grade based off the grading scale he provides and your exam, hw, and attendance scores. He input my grade as a C- when it was meant to be a C+ and it took him 6 months to correct the mistake. If this happens to you, reach out to the math dept. advisors and chair. He is very noncommunicative.
Worst professor in the UC sytem.
Professor Rick Ye was horrible. He's my 13th reason, can never understand anything in lecture and his lecture notes looked like some kind or foreign alien language. PLEASE avoid this professor at all cost like the black plague!!!
I rebuke this professor man!
Literally so disorganized and no clear syllabus. While math is usually a strong area for me, I would sit in his lectures and not understand a single thing. DO NOT TAKE THIS CLASS unless you know how to learn on ur own