MATH-UA 377: Differential Geometry

Instructor: Deane Yang
Email: deane.yang@nyu.edu
Lectures (Zoom): Mondays and Wednesdays 2-3:15pm
Recitation (Zoom): Mondays 8-9:15apm
Office Hours (Zoom): Mondays 4-6pm, Thursdays 11pm-12am

Midterm Exam Procedures and Policies
Calendar (subject to change)
Special Accommodations

If you are student with a disability who needs special accommodations, please contact New York University’s Moses Center for Students with Disabilities (CSD) at 212-998-4980 or mosescsd@nyu.edu. You must be registered with CSD to receive accommodations. Information about the Moses Center can be found at www.nyu.edu/csd. The Moses Center is located at 726 Broadway on the 2nd floor. (See Diagnosing A Learning Disability In College for more information. If you believe you might have a learning disability, please get tested.)

Mandatory tools you will use in this course
Questions?
Textbooks

Experimental Notes on Elementary Differential Geometry (Updated regularly during semester)

Peter Petersen, Classical Differential Geometry. (Notes from UCLA undergraduate differential geometry course)

Course Grade Factors (subject to change)
About the course

This course is an introduction to differential geometry, which can be described as studying the geometric properties of a curved space using calculus. The focus will be on the geometry of curves and surfaces in 3-space but with an eye on how to extend the concepts to abstract geometric spaces. The approach taken will be more abstract than found in existing textbooks, and therefore we will rely mostly on notes I have written.

The homework and exams will focus on applying the concepts to both concrete and abstract examples using both calculations and logical reasoning. The latter is often called "doing proofs".

Prerequisites