MATH-UA 377: Differential Geometry Spring 2022

Instructor: Deane Yang
Office: Warren Weaver Hall, 522
Office Hours: Mondays, 5-7pm
Thursdays 4-6pm
Lectures: Tuesdays and Thursdays, 11am-12:15pm
Warren Weaver Hall, 517
Teaching Assistant: Hancya Han
Office Hours: Fridays, 10:30am-11:30am
Warren Weaver Hall, 505
Recitations: Mondays, 8am-9:15apm
Warren Weaver Hall, 512

Important web sites
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 You must be registered with CSD to receive accommodations. Information about the Moses Center can be found at The Moses Center is located at 726 Broadway on the 2nd floor.

If you believe you might have a learning disability, please get tested. See Diagnosing A Learning Disability In College for more information.


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".

Mandatory tools you will use in this course

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)