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Advanced Differential Geometry
MATH 230BR

Course Information

Description

About half of the second semester will be a focus on Riemannian geometry: theory of geodesics, relations between curvature and topology, theorems of
Hopf–Rinow, Cartan–Hadamard, Bonnet–Myers, etc. I will also introduce some basic linear PDE and prove the Hodge theorem. Beyond that the instructor has not yet decided and is open to student input. Spin geometry is one likely topic.

School Faculty of Arts & Sciences
Credits 4
Cross Reg

Available for Harvard Cross Registration

Department Mathematics
Course Component Lecture
Grading Basis FAS Letter Graded
General Education N/A
Quantitative Reasoning with Data N/A
Divisional Distribution Science & Engineering & Applied Science
Course Level Primarily for Graduate Students