Mathematics G4402. Modern Geometry

Instructor: Chiu-Chu Melissa Liu
E-mail: ccliu@math.columbia.edu, ccl2121@columbia.edu
Office: 623 Mathematics Building
Phone: (212) 854-2499
Office Hours: Monday & Wednesday, 4:15-6pm

Lectures: Monday & Wednesday, 2:40-3:55pm, Mathematics 507

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

Roundtables: Thursday 6-7pm, Room 528

Textbook: Manfredo Perdigao do Carmo, Riemannian Geometry

References:

• William M. Boothby, An Introduction to Differentiable Manifolds and Riemannian Geometry, revised second edition
• Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine, Riemannian Geometry , third edition

Syllabus: Syllabus for Modern Geometry I & II

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

• Homework: There will be 12 assignments.
  Assignment 1 (due 9/21), Assignment 2 (due 9/28), Assignment 3 (due 10/5), Assignment 4 (due 10/12),
  Assignment 5 (due 10/19), Assignment 6 (due 10/26), Assignment 7 (due 11/9), Assignment 8 (due 11/16),
  Assignment 9 (due 11/23), Assignment 10 (due 11/30), Assignment 11 (due 12/7), Assignment 12 (due 12/14)
• Midterm: Wednesday, October 28, 2009, in class.
• Final Exam: Wednesday, December 23, 1:10-4pm (scheduled by the university).