Mathematics G4403. Modern Geometry II

Instructor: Chiu-Chu Melissa Liu
E-mail: ccliu@math.columbia.edu, ccl2121@columbia.edu
Office: 623 Mathematics Building
Phone: (212) 854-2499
Office Hours: after class, or by appointments

Lectures: Monday & Wednesday, 2:40-3:55pm, Mathematics 307

Teaching Assistant: Thomas Nyberg
E-mail: tomnyberg@math.columbia.edu, twn2103@columbia.edu
Office: 206 Mathematics Building
Phone: (212) 854-5886
Office Hours: TBA

Textbook: Manfredo Perdigao do Carmo, Riemannian Geometry

References:

• Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine, Riemannian Geometry , third edition
• Shoshichi Kobayashi and Katsumi Nomizu, Foundations of Differential Geometry I & II
• Raoul Bott and Loring W. Tu, Differential Forms in Algebraic Topology

Syllabus:
Tentative Syllabus
Actual Syllabus

Grading: Homework 40%, Midterm 20%, Take Home Final 40%

• Homework: There will be weekly assignments, due on Mondays.
  Assignment 13 (due 2/1), Assignment 14 (due 2/8), Assignment 15 (due 2/15), Assignment 16 (due 2/22),
  Assignment 17 (due 3/1), Assignment 18 (due 3/8), Assignment 19 (not graded), Assignment 20 (due 3/29),
  Assignment 21 (due 4/12), Assignment 22 (due 4/19), Assignment 23 (due 4/26).
• Midterm: Wednesday, March 10, 2010, in class.